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<!DOCTYPE html><html lang="en-US"><head><title>Waiting for Gödel | The New Yorker</title><meta charSet="utf-8"/><meta content="IE=edge" http-equiv="X-UA-Compatible"/><meta name="msapplication-tap-highlight" content="no"/><meta name="viewport" content="width=device-width, initial-scale=1"/><meta name="author" content="Siobhan Roberts"/><meta name="copyright" content="Copyright (c) Condé Nast 2025"/><meta name="description" content="Siobhan Roberts reports on class offered by the Brooklyn Institute for Social Research on the mathematician Kurt Gödel’s incompleteness theorem."/><meta name="id" content="5924eec6fc1a6c1c6785cc14"/><meta name="keywords" content="mathematics"/><meta name="news_keywords" content="mathematics"/><meta name="robots" content="index, follow, noarchive, max-image-preview:large"/><meta name="content-type" content="article"/><meta name="parsely-post-id" content="5924eec6fc1a6c1c6785cc14"/><meta name="parsely-metadata" content="{&quot;description&quot;:&quot;Siobhan Roberts reports on class offered by the Brooklyn Institute for Social Research on the mathematician Kurt Gödel’s incompleteness theorem.&quot;,&quot;image-16-9&quot;:&quot;https://media.newyorker.com/photos/590977f92179605b11ad8831/16:9/w_1000,c_limit/Roberts-KurtGodel.jpg&quot;,&quot;image-1-1&quot;:&quot;https://media.newyorker.com/photos/590977f92179605b11ad8831/1:1/w_1000,c_limit/Roberts-KurtGodel.jpg&quot;}"/><meta property="og:description" content="The incompleteness theorem has entranced philosophers, novelists, and scientists for eighty-five years. But what, exactly, does it mean?"/><meta property="og:image" content="https://media.newyorker.com/photos/590977f92179605b11ad8831/16:9/w_1280,c_limit/Roberts-KurtGodel.jpg"/><meta property="og:site_name" content="The New Yorker"/><meta property="og:title" content="Waiting for Gödel"/><meta property="og:type" content="article"/><meta property="og:url" content="https://www.newyorker.com/tech/annals-of-technology/waiting-for-godel"/><meta property="article:content_tier" content="free"/><meta property="article:opinion" content="false"/><meta http-equiv="content-language" content="en-US"/><meta property="article:section" content="tags"/><meta property="article:published_time" content="2016-06-29T07:00:38.000Z"/><meta property="article:modified_time" content="2016-06-29T11:00:38.000Z"/><meta property="article:author" content="Siobhan Roberts"/><meta property="twitter:card" content="summary_large_image"/><meta property="twitter:creator" content="@NewYorker"/><meta property="twitter:description" content="The incompleteness theorem has entranced philosophers, novelists, and scientists for eighty-five years. But what, exactly, does it mean?"/><meta property="twitter:domain" content="https://www.newyorker.com"/><meta property="twitter:image" content="https://media.newyorker.com/photos/590977f92179605b11ad8831/16:9/w_1280,c_limit/Roberts-KurtGodel.jpg?mbid=social_retweet"/><meta property="twitter:site" content="@NewYorker"/><meta property="twitter:title" content="Waiting for Gödel"/><meta property="pinterest:image" content="https://media.newyorker.com/photos/590977f92179605b11ad8831/2:3/w_1000,h_1500,c_limit/Roberts-KurtGodel.jpg"/><meta property="fb:app_id" content="1147169538698836"/><meta property="fb:pages" content="9258148868"/><meta name="google" content="nopagereadaloud"/><script id="kendra" type="text/javascript">(()=>{var r=class{constructor(){this.registry={}}register(e,t){if(this.registry[e])throw new Error("Event with key "+e+" already exists.");this.registry[e]=t,Object.defineProperty(this,e,{get:()=>this.registry[e],enumerable:!0,configurable:!1})}delete(e){delete this.registry[e],delete this[e]}get(e){let t=this.registry[e];if(!t)throw new Error("Event with key "+e+" is not registered.");return t}};var n=new r;window.Kendra=n;})();</script><link rel="canonical" href="https://www.newyorker.com/tech/annals-of-technology/waiting-for-godel"/><link rel="alternate" type="application/rss+xml" href="https://www.newyorker.com/feed/rss"/><style data-styled="" data-styled-version="5.3.10">.iUEiRd{margin:0;}/*!sc*/
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.glXVdg .drawer{-webkit-transition:'transform 100ms cubic-bezier(0.23, 1, 0.32, 1)';-webkit-transition:'transform 100ms cubic-bezier(0.23, 1, 0.32, 1)';transition:'transform 100ms cubic-bezier(0.23, 1, 0.32, 1)';-webkit-animation:fadeIn 0.3s;animation:fadeIn 0.3s;outline:none;background-color:rgba(255,255,255,1);padding:3rem 0 0;max-height:100%;overflow:hidden;}/*!sc*/
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.glXVdg .drawer__overlay.drawer__overlay--opening{opacity:1;}/*!sc*/
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.glXVdg .drawer__overlay.drawer__overlay--opening.drawer__overlay--increased-top-position .drawer.drawer--open.drawer--open-positioned{width:calc(100% - 5rem);}/*!sc*/
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data-styled.g1211[id="DrawerModalWrapper-hSFjGm"]{content:"ldtqaK,iaGoRN,glXVdg,"}/*!sc*/
.fmKjRx{-webkit-transform:translateY(-3.5rem);-ms-transform:translateY(-3.5rem);transform:translateY(-3.5rem);opacity:1;display:none;}/*!sc*/
data-styled.g1309[id="StandardNavigationSeriesPagination-icLTJP"]{content:"fmKjRx,"}/*!sc*/
.ckLQNp{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;position:relative;margin:0 1rem 0 auto;border:0;background-color:transparent;padding:0;width:2rem;grid-column:12 / -1;justify-self:flex-end;-webkit-transition:opacity 0.3s ease-in-out;transition:opacity 0.3s ease-in-out;}/*!sc*/
@media (min-width:768px){.ckLQNp{margin:0 1.5rem 0 1rem;}}/*!sc*/
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data-styled.g1372[id="StackedNavigationSectionMobileOption-iaaAJG"]{content:"bQcufx,"}/*!sc*/
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.dZsTvW.dZsTvW{display:none;grid-row:2 / 3;-webkit-box-pack:center;-webkit-justify-content:center;-ms-flex-pack:center;justify-content:center;z-index:1;}/*!sc*/
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data-styled.g1373[id="StackedNavigationSectionPrimaryLinks-foRfJu"]{content:"dZsTvW,"}/*!sc*/
.gzjBRj .StandardNavigationAccountLabel-pyqL{color:rgba(0,0,0,1);cursor:pointer;-webkit-transition-property:color,background,text-shadow;transition-property:color,background,text-shadow;-webkit-transition-duration:0.2s;transition-duration:0.2s;-webkit-transition-timing-function:ease-in-out;transition-timing-function:ease-in-out;}/*!sc*/
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.gzjBRj .NavigationAccountSignIn-kzWKFa{margin-top:0rem;}/*!sc*/
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@media (min-width:768px){.gzjBRj.gzjBRj.standard-navigation-account-with-avatar{margin-right:0;}}/*!sc*/
@media (min-width:1024px){.gzjBRj.gzjBRj.standard-navigation-account-with-avatar{margin-right:-0.3rem;height:2.5rem;}}/*!sc*/
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</script><script type="text/javascript">window.cns = window.cns || {}; window.cns.pageContext = {"channel":"tech","content":{"copyCount":1237,"imageCount":0,"embedCount":1,"ratio":1237,"midContentCadence":900},"contentType":"article","experiments":{},"keywords":{"copilotid":["5924eec6fc1a6c1c6785cc14"],"platform":["verso"],"tags":["lede-image-layout","lede-image-right-aligned","mathematics","tech","annals-of-technology"]},"targeting":{"feature_flags":[]},"server":"production","slug":"waiting-for-godel","subChannel":"annals-of-technology","subSubChannel":"","templateType":"mt_article_two_column"};</script><link rel="preconnect" href="https://ads-static.conde.digital"/><script id="ads-v6" src="https://ads-static.conde.digital/production/cns/builds/the-new-yorker/v6.js" async=""></script><script type="application/ld+json">{"@context":"http://schema.org","@type":"NewsArticle","articleBody":"Gödel’s masterpiece was his incompleteness theorem, which ranks in scientific folklore with Einstein’s relativity and Heisenberg’s uncertainty. Promulgated in Vienna in the early nineteen-thirties, the notion of incompleteness threw mathematics into a hall of mirrors, where it reflected upon itself to alluring, if disorienting, effect: the theorem proved, using mathematics, that mathematics could not prove all of mathematics. Of course, it has a proper and technically precise formulation, but the late logician Verena Huber-Dyson paraphrased it for me as follows: “There is more to truth than can be caught by proof.” Or, as the British novelist Zia Haider Rahman put it in his award-winning début, “In the Light of What We Know,” “Within any given system, there are claims which are true but which cannot be proven to be true.”\nSo although Gödel published his results eighty-five years ago, the theorem endures in the popular imagination. This month, a group of latter-day Gödelians convened on Thursday nights for a crash course in incompleteness, on the roster at the Brooklyn Institute for Social Research. One syllabus text promised “Gödel Without (Too Many) Tears,” while supplementary reading unpacked his work “in Words of One Syllable.” According to “Gödel’s Theorem: An Incomplete Guide to Its Use and Abuse,” the chameleon interpretations emerge in discussions of math, philosophy, computer science, and artificial intelligence, as one might expect, but also in ruminations on physics, evolution, religion, atheism, poetry, hip-hop, dating, politics, and even the Constitution. (Famously, Gödel informed the judge at his U.S. citizenship hearing about an inconsistency that he had discovered in the Constitution, which would allow a dictator to rise in America.)\nThe students in the incompleteness class, held at the Brooklyn Commons, included a computer scientist obsessed with recursion (that is, self-referential things, like Russian nesting dolls or Escher’s drawing of a hand drawing a hand); a public-health nutritionist with a fondness for her “Philo_sloth_ical” T-shirt; a philosopher in the tradition of American pragmatism; an ad man versed in the classics; and a private-school teacher who’d spent a lonely, life-changing winter reading Douglas Hofstadter’s “Gödel, Escher, Bach,” which won the Pulitzer in 1980. Even Hofstadter, a professor of cognitive science at Indiana University, still has Gödel on the brain. He delivered two talks on the logician recently, billing him as “The True Inventor of Programming Languages and Data Structures.” When I told Hofstadter about the course—not everyone’s ideal Thursday night out on the town—he said, “It ought to be quite fun.”\nIn total, eight people enrolled for the class, a fitting number, since “8” rotated by ninety degrees is “∞,” and infinity is, in a sense, where the trouble began with this trippy episode in the history of mathematics. In the nineteenth century, the German mathematician Georg Cantor launched an investigation into various sizes of infinities, thereby inventing set theory, which became an overarching paradigm for mathematics. “A set is a Many that allows itself to be thought of as a One,” Cantor said. But, from nearby realms of logic, paradoxes emerged, such as the Russell set, the set of all sets that do not contain themselves. In the early twentieth century, Bertrand Russell and Alfred North Whitehead, with “Principia Mathematica,” and David Hilbert, with “Hilbert’s Program,” attempted to construct a solid foundation for mathematics, creating a formal system based on axioms and rules. Gödel, with his incompleteness theorem (two theorems, actually), put an end to these dreams. He proved, to borrow from the course outline:\n\nFor any consistent axiomatic formal system that can express facts about basic arithmetic:\n\n\nThere are true statements that are unprovable within the system.\n\n\nThe system’s consistency cannot be proven within the system.\n\n\n\nPuzzled? Russell admitted the same. He wondered, “Are we to think that 2+2 is not 4, but 4.001?”\nA mathematician is said to be a machine for turning coffee into theorems, and at that Gödel excelled, although he said that the coffee in Vienna was wretched. For Peter O’Hearn, an engineering manager at Facebook and professor at University College London, the incompleteness “wow moment” was fuelled by visits to the brewpub during graduate school. O’Hearn is the co-recipient of this year’s Gödel Prize—he and a colleague, Stephen Brookes, invented concurrent separation logic, a revolutionary proof system for computer software. “Gödel’s theorem has a major impact on what all computer scientists do,” he told me. “It puts a fundamental limit on questions we can answer with computers. It tells us to go for approximation—more approximate solutions, which find many right answers, but not all right answers. That’s a positive, because it constrains me from trying to do stupid things, trying to do impossible things.”\nAt the Brooklyn Commons, a keg of Turmeric Sunrise kombucha was the popular drink during class breaks, which people spent pondering the pronunciation of “Gödel.” (“Goy-del?” “Good-ul?” “Girdle?”) I asked my classmates whether they had heard of the sci-fi writer Rudy Rucker’s book “Spacetime Donuts,” which includes a minor character named Professor G. Kurtowski. The answer was no, but as the American pragmatist noted, “Kurtowski is significantly easier to pronounce than ‘Guuuudel.’ ” In Gödel’s archives, there is a full file of letters from Rucker. “I was looking for a guru,” Rucker told me. He first visited with the great man in 1972, as a graduate student, and thereupon Gödel joined his other mentors—Frank Zappa, Robert Crumb, William Burroughs, and Thomas Pynchon. Pynchon, in his novel “Gravity’s Rainbow,” paraphrased incompleteness by mapping it onto Murphy’s Law, “that brash Irish proletarian restatement of Gödel’s Theorem—when everything has been taken care of, when nothing can go wrong, or even surprise us … something will.” “Yeah,” our instructor said. “Metaphorically, yeah, I can see it.”\nAs the course progressed, the Gödelians remained divided in their enlightenment. An early verdict, from a lawyer studying for the bar, was that Gödel, with his loopy logic, seemed to be cheating. Later, the private-school teacher raised his hand and declared that the last bit of chalk-and-talk instruction made perfect sense. From my distractible perspective across the table, though, his semi-eureka experience looked like the misinterpretation of a sugar high, since he’d just eaten seven Oreo Thins from the pile of communal snacks. And, anyway, it would all come to nothing if not incompleteness.\nQuoted archival text from the Kurt Gödel Papers, held by the Institute for Advanced Study, in Princeton, New Jersey, and on deposit at the Firestone Library.","isBasedOn":"","articleSection":"annals of technology","author":[{"@type":"Person","name":"Siobhan Roberts","sameAs":"https://www.newyorker.com/contributors/siobhan-roberts"}],"dateModified":"2016-06-29T07:00:38.000-04:00","datePublished":"2016-06-29T03:00:38.000-04:00","headline":"Waiting for Gödel","image":["https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_2000,h_3008,c_limit/Roberts-KurtGodel.jpg"],"keywords":["annals of technology","mathematics","web"],"thumbnailUrl":"","url":"https://www.newyorker.com/tech/annals-of-technology/waiting-for-godel","isPartOf":{"@type":"CreativeWork","name":"The New Yorker"},"isAccessibleForFree":true,"alternativeHeadline":"Siobhan Roberts reports on class offered by the Brooklyn Institute for Social Research on the mathematician Kurt Gödel’s incompleteness theorem.","description":"Siobhan Roberts reports on class offered by the Brooklyn Institute for Social Research on the mathematician Kurt Gödel’s incompleteness theorem.","mainEntityOfPage":{"@type":"WebPage","@id":"https://www.newyorker.com/tech/annals-of-technology/waiting-for-godel"},"publisher":{"@context":"https://schema.org","@type":"Organization","name":"The New Yorker","logo":{"@type":"ImageObject","url":"https://www.newyorker.com/verso/static/thenewyorker-us/assets/the-new-yorker-seo-logo.jpg","width":"1200px","height":"630px"},"url":"https://www.newyorker.com"}}</script><script type="application/ld+json">{"@context":"https://schema.org/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"name":"Tech","item":"https://www.newyorker.com/tech"},{"@type":"ListItem","position":2,"name":"Mathematics","item":"https://www.newyorker.com/tag/mathematics"},{"@type":"ListItem","position":3,"name":"Waiting for Gödel"}]}</script><meta id="google-signin-meta" name="google-signin-client_id" content="275906274807-b4eqbdqr511u9msdpj8mh0pf77fcciv7.apps.googleusercontent.com"/><script id="google-api-script" src="https://apis.google.com/js/platform.js" async="" defer=""></script><script id="martech-lib-pre-script">window.Martech = window.Martech || new Promise((resolve) => {
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data-testid="GenericCallout"><figure class="AssetEmbedWrapper-eVDQiB byBkf asset-embed"><div class="AssetEmbedAssetContainer-eJxoAx dBHGoQ asset-embed__asset-container"><span class="SpanWrapper-umhxW lgCwTv responsive-asset AssetEmbedResponsiveAsset-cXBNxi lqMXz asset-embed__responsive-asset"><picture class="ResponsiveImagePicture-cWuUZO KhjZz AssetEmbedResponsiveAsset-cXBNxi lqMXz asset-embed__responsive-asset responsive-image responsive-image--expandable" tabindex="0" role="button"><noscript><img alt="The mathematician Kurt Gödels incompleteness theorem ranks in scientific folklore with Einsteins relativity and..." class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_2560%2Cc_limit/Roberts-KurtGodel.jpg" srcSet="https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_120,c_limit/Roberts-KurtGodel.jpg 120w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_240,c_limit/Roberts-KurtGodel.jpg 240w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_320,c_limit/Roberts-KurtGodel.jpg 320w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_640,c_limit/Roberts-KurtGodel.jpg 640w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_960,c_limit/Roberts-KurtGodel.jpg 960w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_1280,c_limit/Roberts-KurtGodel.jpg 1280w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_1600,c_limit/Roberts-KurtGodel.jpg 1600w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_1920,c_limit/Roberts-KurtGodel.jpg 1920w, https://media.newyorker.com/photos/590977f92179605b11ad8831/master/w_2240,c_limit/Roberts-KurtGodel.jpg 2240w" sizes="100vw"/></noscript></picture></span></div><div class="CaptionWrapper-jSZdqE koIZQP caption AssetEmbedCaption-fNQBPI fmQnYP asset-embed__caption" data-testid="caption-wrapper"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ CaptionText-bHjzlu iUEiRd xOinq iXWezO caption__text">The mathematician Kurt Gödel’s incompleteness theorem ranks in scientific folklore with Einstein’s relativity and Heisenberg’s uncertainty.</span><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ CaptionCredit-ejegDm iUEiRd bibEBd kboznU caption__credit">PHOTOGRAPH BY ALFRED EISENSTAEDT / THE LIFE PICTURE COLLECTION / GETTY</span></div></figure></div><p class="has-dropcap has-dropcap__lead-standard-heading">In June of 1975, the Office of the White House Press Secretary announced President Gerald R. Ford’s picks for the National Medal of Science. One went to the Austrian-born mathematician and logician Kurt Gödel. Nicknamed Mr. Why by his parents, Gödel was known to a subset of his constituents as, simply, God. He received fan mail from all over the world, archiving it into files of “autograph requests,” “inquiries from students and amateurs,” “letters of appreciation,” and “crank correspondence.” A self-described “dunce fool of Mathematics” in West Bengal wrote seeking Gödel’s “Guruship,” and a svelte math teacher in California confessed that she’d taken the liberty of enlarging a photo of Gödel to make a poster for her classroom. (She’d also taken the liberty of enclosing a snapshot of herself.) Ultimately, Gödel came to be compared not only to <a href="https://www.newyorker.com/magazine/2005/02/28/time-bandits-2">his friend Albert Einstein</a> but also to Franz Kafka. Such was the nature of his contribution—only a handful of theorems, but all of them monumental and fantastical.</p><p class="paywall">Gödel’s masterpiece was his incompleteness theorem, which ranks in scientific folklore with <a href="https://www.newyorker.com/topics/einstein-relativity-at-a-hundred">Einstein’s relativity</a> and Heisenberg’s uncertainty. Promulgated in Vienna in the early nineteen-thirties, the notion of incompleteness threw mathematics into a hall of mirrors, where it reflected upon itself to alluring, if disorienting, effect: the theorem proved, using mathematics, that mathematics could not prove all of mathematics. Of course, it has a proper and technically precise formulation, but the late logician Verena Huber-Dyson paraphrased it for me as follows: “There is more to <em>truth</em> than can be caught by <em>proof</em>.” Or, as the British novelist Zia Haider Rahman put it in his award-winning début, “In the Light of What We Know,” “Within any given system, there are claims which are true but which cannot be proven to be true.”</p><p class="paywall">So although Gödel published his results eighty-five years ago, the theorem endures in the popular imagination. This month, a group of latter-day Gödelians convened on Thursday nights for a crash course in incompleteness, on the roster at the Brooklyn Institute for Social Research. One syllabus text promised “Gödel Without (Too Many) Tears,” while supplementary reading unpacked his work <a data-offer-url="http://mind.oxfordjournals.org/content/103/409/1.extract" class="external-link" data-event-click="{&quot;element&quot;:&quot;ExternalLink&quot;,&quot;outgoingURL&quot;:&quot;http://mind.oxfordjournals.org/content/103/409/1.extract&quot;}" href="http://mind.oxfordjournals.org/content/103/409/1.extract" rel="nofollow noopener" target="_blank">“in Words of One Syllable.”</a> According to “Gödel’s Theorem: An Incomplete Guide to Its Use and Abuse,” the chameleon interpretations emerge in discussions of math, philosophy, computer science, and artificial intelligence, as one might expect, but also in ruminations on physics, evolution, religion, atheism, poetry, hip-hop, dating, politics, and even the Constitution. (Famously, Gödel informed the judge at his U.S. citizenship hearing about an inconsistency that he had discovered in the Constitution, which would allow a dictator to rise in America.)</p><div></div><div></div><p class="paywall">The students in the incompleteness class, held at the Brooklyn Commons, included a computer scientist obsessed with recursion (that is, self-referential things, like Russian nesting dolls or Escher’s drawing of a hand drawing a hand); a public-health nutritionist with a fondness for her “Philo_sloth_ical” T-shirt; a philosopher in the tradition of American pragmatism; an ad man versed in the classics; and a private-school teacher who’d spent a lonely, life-changing winter reading Douglas Hofstadter’s “Gödel, Escher, Bach,” which won the Pulitzer in 1980. Even Hofstadter, a professor of cognitive science at Indiana University, still has Gödel on the brain. He delivered two talks on the logician recently, billing him as “The True Inventor of Programming Languages and Data Structures.” When I told Hofstadter about the course—not everyone’s ideal Thursday night out on the town—he said, “It ought to be quite fun.”</p><p class="paywall">In total, eight people enrolled for the class, a fitting number, since “8” rotated by ninety degrees is “∞,” and infinity is, in a sense, where the trouble began with this trippy episode in the history of mathematics. In the nineteenth century, the German mathematician Georg Cantor launched an investigation into various sizes of infinities, thereby inventing set theory, which became an overarching paradigm for mathematics. “A set is a Many that allows itself to be thought of as a One,” Cantor said. But, from nearby realms of logic, paradoxes emerged, such as the Russell set, the set of all sets that do not contain themselves. In the early twentieth century, Bertrand Russell and Alfred North Whitehead, with “Principia Mathematica,” and David Hilbert, with “Hilbert’s Program,” attempted to construct a solid foundation for mathematics, creating a formal system based on axioms and rules. Gödel, with his incompleteness theorem (two theorems, actually), put an end to these dreams. He proved, to borrow from the course outline:</p><blockquote class="BlockquoteEmbedWrapper-sc-SdiGL jPeLne paywall blockquote-embed" data-testid="blockquote-wrapper"><div class="BlockquoteEmbedContent-esRbGs jaQqnT blockquote-embed__content"><p>For any consistent axiomatic formal system that can express facts about basic arithmetic:</p><ol><li><p>There are true statements that are unprovable within the system.</p></li><li><p>The system’s consistency cannot be proven within the system.</p></li></ol></div></blockquote><p class="paywall">Puzzled? Russell admitted the same. He wondered, “Are we to think that 2+2 is not 4, but 4.001?”</p><div class="Container-bkChBi byNLHx"></div><p class="paywall">A mathematician is said to be a machine for turning coffee into theorems, and at that Gödel excelled, although he said that the coffee in Vienna was wretched. For Peter O’Hearn, an engineering manager at Facebook and professor at University College London, the incompleteness “wow moment” was fuelled by visits to the brewpub during graduate school. O’Hearn is the co-recipient of this year’s Gödel Prize—he and a colleague, Stephen Brookes, invented concurrent separation logic, a revolutionary proof system for computer software. “Gödel’s theorem has a major impact on what all computer scientists do,” he told me. “It puts a fundamental limit on questions we can answer with computers. It tells us to go for approximation—more approximate solutions, which find many right answers, but not all right answers. That’s a positive, because it constrains me from trying to do stupid things, trying to do impossible things.”</p><div><div class="ConsumerMarketingUnitThemedWrapper-iUTMTf jssHut consumer-marketing-unit consumer-marketing-unit--article-mid-content" role="presentation" aria-hidden="true"><div class="consumer-marketing-unit__slot consumer-marketing-unit__slot--article-mid-content consumer-marketing-unit__slot--in-content"></div><div class="journey-unit"></div></div></div><p class="paywall">At the Brooklyn Commons, a keg of Turmeric Sunrise kombucha was the popular drink during class breaks, which people spent pondering the pronunciation of “Gödel.” (“Goy-del?” “Good-ul?” “Girdle?”) I asked my classmates whether they had heard of the sci-fi writer Rudy Rucker’s book “Spacetime Donuts,” which includes a minor character named Professor G. Kurtowski. The answer was no, but as the American pragmatist noted, “Kurtowski is significantly easier to pronounce than ‘Guuuudel.’ ” In Gödel’s archives, there is a full file of letters from Rucker. “I was looking for a guru,” Rucker told me. He first visited with the great man in 1972, as a graduate student, and thereupon Gödel joined his other mentors—Frank Zappa, Robert Crumb, William Burroughs, and Thomas Pynchon. Pynchon, in his novel “Gravity’s Rainbow,” paraphrased incompleteness by mapping it onto Murphy’s Law, “that brash Irish proletarian restatement of Gödel’s Theorem—<em>when everything has been taken care of, when nothing can go wrong, or even surprise us … something will</em>.” “Yeah,” our instructor said. “Metaphorically, yeah, I can see it.”</p><p class="paywall">As the course progressed, the Gödelians remained divided in their enlightenment. An early verdict, from a lawyer studying for the bar, was that Gödel, with his loopy logic, seemed to be cheating. Later, the private-school teacher raised his hand and declared that the last bit of chalk-and-talk instruction made perfect sense. From my distractible perspective across the table, though, his semi-eureka experience looked like the misinterpretation of a sugar high, since he’d just eaten seven Oreo Thins from the pile of communal snacks. And, anyway, it would all come to nothing if not incompleteness.</p><p class="paywall"><em>Quoted archival text from the Kurt Gödel Papers, held by the Institute for Advanced Study, in Princeton, New Jersey, and on deposit at the Firestone Library.</em></p></div></div></div></div></div><div class="GridWrapper-cAzTTK sjrqk grid grid-margins grid-items-2 PaywallInlineBarrierWithWrapperGrid-fyrGfS kLQIUk grid-layout--adrail narrow wide-adrail"><div class="GridItem-buujkM stRKV grid--item grid-layout__content"><div class="body body__inline-barrier article__body"><div class="container container--body"><div class="container--body-inner"><aside class="PaywallInlineBarrierWrapper-iBnuqk lfXXa-D" data-testid="PaywallInlineBarrierWrapper"><div class="ConsumerMarketingUnitThemedWrapper-iUTMTf jssHut consumer-marketing-unit consumer-marketing-unit--paywall-inline-barrier" role="presentation" aria-live="polite" aria-hidden="true"><div class="consumer-marketing-unit__slot 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data-component-type="recirc-river" data-recirc-id="item-image-3" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="The Dangerous Consequences of Donald Trump’s Strikes in Iran" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/68582226f91ef0d75ce09112/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">Why even a successful attack might do less to curb the Islamic Republic’s nuclear ambitions than a diplomatic deal would have.</div><div class="SummaryItemBylineWrapper-boCfbi hYsZi summary-item__byline-date-icon"><div class="SummaryItemBaseByline-fFbXkY bzOILa summary-item__byline"><div class="summary-item__byline__content"><div data-testid="BylinesWrapper" class="BylinesWrapper-KIudk cdSbAY bylines"><span class="BylineWrapper-jWHrLH ciXFAu byline bylines__byline" data-testid="BylineWrapper" itemProp="author" itemType="http://schema.org/Person"><span itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>Isaac Chotiner</span></span></span></div></div></div></div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;John McPhee on His Childhood Appearance in &lt;em&gt;The New Yorker&lt;/em&gt;&quot;,&quot;index&quot;:3,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/magazine/takes/john-mcphee-on-his-childhood-appearance-in-the-new-yorker#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/magazine/takes/john-mcphee-on-his-childhood-appearance-in-the-new-yorker#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-4" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="John McPhee on His Childhood Appearance in The New Yorker" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">Takes</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-4" data-component-type="recirc-river" data-recirc-id="item-hed-4" data-recirc-pattern="summary-item" href="https://www.newyorker.com/magazine/takes/john-mcphee-on-his-childhood-appearance-in-the-new-yorker#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">John McPhee on His Childhood Appearance in <em>The New Yorker</em></div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/magazine/takes/john-mcphee-on-his-childhood-appearance-in-the-new-yorker#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-4" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="John McPhee on His Childhood Appearance in The New Yorker" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6851a8f929c7e59b283d6c94/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">The little boy in the piece was definitely me, and the moment I saw it I developed a lifelong affection for the magazine.</div><div class="SummaryItemBylineWrapper-boCfbi hYsZi summary-item__byline-date-icon"><div class="SummaryItemBaseByline-fFbXkY bzOILa summary-item__byline"><div class="summary-item__byline__content"><div data-testid="BylinesWrapper" class="BylinesWrapper-KIudk cdSbAY bylines"><span class="BylineWrapper-jWHrLH ciXFAu byline bylines__byline" data-testid="BylineWrapper" itemProp="author" itemType="http://schema.org/Person"><span itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>John McPhee</span></span></span></div></div></div></div></div></div><div class="AdWrapper-dQtivb fZrssQ SummaryCollectionGridSummaryItem-WColm drmLpp ad ad--read-more"><div class="ad__slot ad__slot--read-more" data-node-id="hfmw6"></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;The Caitlin Clark Rules&quot;,&quot;index&quot;:4,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/sports/sporting-scene/the-caitlin-clark-rules#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/sports/sporting-scene/the-caitlin-clark-rules#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-5" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="The Caitlin Clark Rules" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">The Sporting Scene</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-5" data-component-type="recirc-river" data-recirc-id="item-hed-5" data-recirc-pattern="summary-item" href="https://www.newyorker.com/sports/sporting-scene/the-caitlin-clark-rules#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">The Caitlin Clark Rules</div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/sports/sporting-scene/the-caitlin-clark-rules#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-5" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="The Caitlin Clark Rules" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6855d0200021a781882eb7a8/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">The basketball star’s domination on the court is one of the most inspiring things in all of sports. Does it represent a revolution or evolution?</div><div class="SummaryItemBylineWrapper-boCfbi hYsZi summary-item__byline-date-icon"><div class="SummaryItemBaseByline-fFbXkY bzOILa summary-item__byline"><div class="summary-item__byline__content"><div data-testid="BylinesWrapper" class="BylinesWrapper-KIudk cdSbAY bylines"><span class="BylineWrapper-jWHrLH ciXFAu byline bylines__byline" data-testid="BylineWrapper" itemProp="author" itemType="http://schema.org/Person"><span itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>Louisa Thomas</span></span></span></div></div></div></div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;Han Ong Reads “Happy Days”&quot;,&quot;index&quot;:5,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/podcast/the-writers-voice/han-ong-reads-happy-days#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/podcast/the-writers-voice/han-ong-reads-happy-days#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-6" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="Han Ong Reads “Happy Days”" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">The Writer’s Voice</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-6" data-component-type="recirc-river" data-recirc-id="item-hed-6" data-recirc-pattern="summary-item" href="https://www.newyorker.com/podcast/the-writers-voice/han-ong-reads-happy-days#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">Han Ong Reads “Happy Days”</div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/podcast/the-writers-voice/han-ong-reads-happy-days#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-6" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="Han Ong Reads “Happy Days”" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6853250511f0d8e585e5a06c/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">The author reads his story from the June 30, 2025, issue of the magazine.</div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;“Happy Days”&quot;,&quot;index&quot;:6,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/magazine/2025/06/30/happy-days-fiction-han-ong#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/magazine/2025/06/30/happy-days-fiction-han-ong#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-7" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="“Happy Days”" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">Fiction</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-7" data-component-type="recirc-river" data-recirc-id="item-hed-7" data-recirc-pattern="summary-item" href="https://www.newyorker.com/magazine/2025/06/30/happy-days-fiction-han-ong#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">“Happy Days”</div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/magazine/2025/06/30/happy-days-fiction-han-ong#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-7" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="“Happy Days”" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6853111c2db14fc48bfc0464/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">Why shouldn’t Matthew Lim play Winnie? Inside his body, the role would be no spoof at all but the purest of incarnations.</div><div class="SummaryItemBylineWrapper-boCfbi hYsZi summary-item__byline-date-icon"><div class="SummaryItemBaseByline-fFbXkY bzOILa summary-item__byline"><div class="summary-item__byline__content"><div data-testid="BylinesWrapper" class="BylinesWrapper-KIudk cdSbAY bylines"><span class="BylineWrapper-jWHrLH ciXFAu byline bylines__byline" data-testid="BylineWrapper" itemProp="author" itemType="http://schema.org/Person"><span itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>Han Ong</span></span></span></div></div></div></div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;The People Being Disappeared by &lt;em class=\&quot;small\&quot;&gt;ICE&lt;/em&gt; in Los Angeles&quot;,&quot;index&quot;:7,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/news/letter-from-los-angeles/the-people-being-disappeared-by-ice-in-los-angeles#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/news/letter-from-los-angeles/the-people-being-disappeared-by-ice-in-los-angeles#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-8" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="The People Being Disappeared by ICE in Los Angeles" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">Letter from Los Angeles</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-8" data-component-type="recirc-river" data-recirc-id="item-hed-8" data-recirc-pattern="summary-item" href="https://www.newyorker.com/news/letter-from-los-angeles/the-people-being-disappeared-by-ice-in-los-angeles#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">The People Being Disappeared by <em class="small">ICE</em> in Los Angeles</div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/news/letter-from-los-angeles/the-people-being-disappeared-by-ice-in-los-angeles#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-8" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="The People Being Disappeared by ICE in Los Angeles" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/6855d59e0942072f92a82293/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">As communities across Southern California document and protest the escalating raids, loved ones grapple with the unimaginable.</div><div class="SummaryItemBylineWrapper-boCfbi hYsZi summary-item__byline-date-icon"><div class="SummaryItemBaseByline-fFbXkY bzOILa summary-item__byline"><div class="summary-item__byline__content"><div data-testid="BylinesWrapper" class="BylinesWrapper-KIudk cdSbAY bylines"><span class="BylineWrapper-jWHrLH ciXFAu byline bylines__byline" data-testid="BylineWrapper" itemProp="author" itemType="http://schema.org/Person"><span itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>Emily Witt</span></span></span></div></div></div></div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;Han Ong on Partisan Passions and Life Affirmation in the Theatre&quot;,&quot;index&quot;:8,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/books/this-week-in-fiction/han-ong-06-30-25#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/books/this-week-in-fiction/han-ong-06-30-25#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-9" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="Han Ong on Partisan Passions and Life Affirmation in the Theatre" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">This Week in Fiction</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-9" data-component-type="recirc-river" data-recirc-id="item-hed-9" data-recirc-pattern="summary-item" href="https://www.newyorker.com/books/this-week-in-fiction/han-ong-06-30-25#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">Han Ong on Partisan Passions and Life Affirmation in the Theatre</div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/books/this-week-in-fiction/han-ong-06-30-25#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-9" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="Han Ong on Partisan Passions and Life Affirmation in the Theatre" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/68557be7522a9416b85a56a9/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">The author discusses his story “Happy Days.”</div><div class="SummaryItemBylineWrapper-boCfbi hYsZi summary-item__byline-date-icon"><div class="SummaryItemBaseByline-fFbXkY bzOILa summary-item__byline"><div class="summary-item__byline__content"><div data-testid="BylinesWrapper" class="BylinesWrapper-KIudk cdSbAY bylines"><span class="BylineWrapper-jWHrLH ciXFAu byline bylines__byline" data-testid="BylineWrapper" itemProp="author" itemType="http://schema.org/Person"><span itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>Deborah Treisman</span></span></span></div></div></div></div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;Donald Trump Bombs Iran, and America Waits&quot;,&quot;index&quot;:9,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/news/the-lede/donald-trump-bombs-iran-and-america-waits#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/news/the-lede/donald-trump-bombs-iran-and-america-waits#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-10" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="Donald Trump Bombs Iran, and America Waits" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">The Lede</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-10" data-component-type="recirc-river" data-recirc-id="item-hed-10" data-recirc-pattern="summary-item" href="https://www.newyorker.com/news/the-lede/donald-trump-bombs-iran-and-america-waits#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">Donald Trump Bombs Iran, and America Waits</div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/news/the-lede/donald-trump-bombs-iran-and-america-waits#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-10" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="Donald Trump Bombs Iran, and America Waits" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/68577ceadf22c65c76136d2b/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ SummaryItemDek-CRfsi iUEiRd eDsHHo hFIELG summary-item__dek">The U.S. strikes were unprecedented, and the repercussions are impossible to predict.</div><div class="SummaryItemBylineWrapper-boCfbi hYsZi summary-item__byline-date-icon"><div class="SummaryItemBaseByline-fFbXkY bzOILa summary-item__byline"><div class="summary-item__byline__content"><div data-testid="BylinesWrapper" class="BylinesWrapper-KIudk cdSbAY bylines"><span class="BylineWrapper-jWHrLH ciXFAu byline bylines__byline" data-testid="BylineWrapper" itemProp="author" itemType="http://schema.org/Person"><span itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>David Remnick</span></span></span></div></div></div></div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;Why I Wear the Turban&quot;,&quot;index&quot;:10,&quot;contentType&quot;:&quot;venue&quot;,&quot;hotelLink&quot;:&quot;https://www.newyorker.com/culture/the-weekend-essay/why-i-wear-the-turban#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2&quot;,&quot;layout&quot;:&quot;GridFourColumns&quot;}" role="button" tabindex="0"><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/culture/the-weekend-essay/why-i-wear-the-turban#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-11" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_320,c_limit/undefined 320w" sizes="100vw"/><img alt="Why I Wear the Turban" class="ResponsiveImageContainer-eybHBd fptoWY responsive-image__image" src="https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_480%2Cc_limit/undefined"/></noscript></picture></div></div></span></a></div><div class="SummaryItemContent-eiDYMl dJKpb summary-item__content"><div class="SummaryItemRubricWrapper-jjNbqu bsjkmD"><div class="RubricWrapper-dKmCNX braSQU rubric rubric--discovery SummaryItemRubric-dguGKN fYiFyD summary-item__rubric"><span class="RubricName-fVtemz cLxcNi rubric__name">The Weekend Essay</span></div></div><a class="SummaryItemHedLink-civMjp iksxXg summary-item-tracking__hed-link summary-item__hed-link bottom_recirc-11" data-component-type="recirc-river" data-recirc-id="item-hed-11" data-recirc-pattern="summary-item" href="https://www.newyorker.com/culture/the-weekend-essay/why-i-wear-the-turban#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" target="_self"><div class="SummaryItemHedBase-hiFYpQ bUJdcy summary-item__hed" data-testid="SummaryItemHed">Why I Wear the Turban</div></a><div class="SummaryItemAssetContainer-gwhFFH ogpYq summary-item__asset-container"><a class="SummaryItemImageLink-dshqxb USLvL summary-item__image-link summary-item-tracking__image-link" href="https://www.newyorker.com/culture/the-weekend-essay/why-i-wear-the-turban#intcid=_the-new-yorker-article-bottom-recirc_333d42a8-7393-4d83-a74e-1a1e63ad473a_roberta-similarity1_fallback_cral-top2-2" aria-hidden="true" tabindex="-1" data-component-type="recirc-river" data-recirc-id="item-image-11" data-recirc-pattern="summary-item" target="_self"><span class="SpanWrapper-umhxW lgCwTv responsive-asset SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image"><div data-testid="aspect-ratio-container" class="AspectRatioContainer-bJHpJz jgsWEn"><div class="aspect-ratio--overlay-container"><picture class="ResponsiveImagePicture-cWuUZO dUOtEa SummaryItemResponsiveAsset-hjGIGg gJaBeu summary-item__image responsive-image"><noscript><source media="(max-width: 767px)" srcSet="https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_240,c_limit/undefined 240w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_320,c_limit/undefined 320w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_640,c_limit/undefined 640w" sizes="100vw"/><source media="(min-width: 768px)" srcSet="https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_120,c_limit/undefined 120w, https://media.newyorker.com/photos/685314833f621a9c40620981/4:3/w_240,c_limit/undefined 240w, 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itemProp="name" class="BylineNamesWrapper-jbHncj fuDQVo"><span data-testid="BylineName" class="BylineName-kwmrLn cYaBcc byline__name"><span class="BaseWrap-sc-gjQpdd BaseText-ewhhUZ BylinePreamble-iJolpQ iUEiRd iBDlDQ gnILss byline__preamble">By </span>Manvir Singh</span></span></span></div></div></div></div></div></div><div class="SummaryItemWrapper-iwvBff UgVUX summary-item summary-item--ARTICLE summary-item--no-icon summary-item--text-align-left summary-item--layout-placement-text-below-desktop-only summary-item--layout-position-image-right summary-item--layout-proportions-33-66 summary-item--side-by-side-align-center summary-item--side-by-side-image-right-mobile-false summary-item--standard SummaryCollectionGridSummaryItem-WColm dVISaF" data-item="{&quot;dangerousHed&quot;:&quot;The Magic of Daylight in a Land of Sun 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But what, exactly, does it mean?","head.promo.dek":"Siobhan Roberts reports on class offered by the Brooklyn Institute for Social Research on the mathematician Kurt Gödel’s incompleteness theorem.","head.social.opinion":"false","head.jsonld":[{"@context":"http:\u002F\u002Fschema.org","@type":"NewsArticle","articleBody":"Gödel’s masterpiece was his incompleteness theorem, which ranks in scientific folklore with Einstein’s relativity and Heisenberg’s uncertainty. Promulgated in Vienna in the early nineteen-thirties, the notion of incompleteness threw mathematics into a hall of mirrors, where it reflected upon itself to alluring, if disorienting, effect: the theorem proved, using mathematics, that mathematics could not prove all of mathematics. Of course, it has a proper and technically precise formulation, but the late logician Verena Huber-Dyson paraphrased it for me as follows: “There is more to truth than can be caught by proof.” Or, as the British novelist Zia Haider Rahman put it in his award-winning début, “In the Light of What We Know,” “Within any given system, there are claims which are true but which cannot be proven to be true.”\nSo although Gödel published his results eighty-five years ago, the theorem endures in the popular imagination. This month, a group of latter-day Gödelians convened on Thursday nights for a crash course in incompleteness, on the roster at the Brooklyn Institute for Social Research. One syllabus text promised “Gödel Without (Too Many) Tears,” while supplementary reading unpacked his work “in Words of One Syllable.” According to “Gödel’s Theorem: An Incomplete Guide to Its Use and Abuse,” the chameleon interpretations emerge in discussions of math, philosophy, computer science, and artificial intelligence, as one might expect, but also in ruminations on physics, evolution, religion, atheism, poetry, hip-hop, dating, politics, and even the Constitution. (Famously, Gödel informed the judge at his U.S. citizenship hearing about an inconsistency that he had discovered in the Constitution, which would allow a dictator to rise in America.)\nThe students in the incompleteness class, held at the Brooklyn Commons, included a computer scientist obsessed with recursion (that is, self-referential things, like Russian nesting dolls or Escher’s drawing of a hand drawing a hand); a public-health nutritionist with a fondness for her “Philo_sloth_ical” T-shirt; a philosopher in the tradition of American pragmatism; an ad man versed in the classics; and a private-school teacher who’d spent a lonely, life-changing winter reading Douglas Hofstadter’s “Gödel, Escher, Bach,” which won the Pulitzer in 1980. Even Hofstadter, a professor of cognitive science at Indiana University, still has Gödel on the brain. He delivered two talks on the logician recently, billing him as “The True Inventor of Programming Languages and Data Structures.” When I told Hofstadter about the course—not everyone’s ideal Thursday night out on the town—he said, “It ought to be quite fun.”\nIn total, eight people enrolled for the class, a fitting number, since “8” rotated by ninety degrees is “∞,” and infinity is, in a sense, where the trouble began with this trippy episode in the history of mathematics. In the nineteenth century, the German mathematician Georg Cantor launched an investigation into various sizes of infinities, thereby inventing set theory, which became an overarching paradigm for mathematics. “A set is a Many that allows itself to be thought of as a One,” Cantor said. But, from nearby realms of logic, paradoxes emerged, such as the Russell set, the set of all sets that do not contain themselves. In the early twentieth century, Bertrand Russell and Alfred North Whitehead, with “Principia Mathematica,” and David Hilbert, with “Hilbert’s Program,” attempted to construct a solid foundation for mathematics, creating a formal system based on axioms and rules. Gödel, with his incompleteness theorem (two theorems, actually), put an end to these dreams. He proved, to borrow from the course outline:\n\nFor any consistent axiomatic formal system that can express facts about basic arithmetic:\n\n\nThere are true statements that are unprovable within the system.\n\n\nThe system’s consistency cannot be proven within the system.\n\n\n\nPuzzled? Russell admitted the same. He wondered, “Are we to think that 2+2 is not 4, but 4.001?”\nA mathematician is said to be a machine for turning coffee into theorems, and at that Gödel excelled, although he said that the coffee in Vienna was wretched. For Peter O’Hearn, an engineering manager at Facebook and professor at University College London, the incompleteness “wow moment” was fuelled by visits to the brewpub during graduate school. O’Hearn is the co-recipient of this year’s Gödel Prize—he and a colleague, Stephen Brookes, invented concurrent separation logic, a revolutionary proof system for computer software. “Gödel’s theorem has a major impact on what all computer scientists do,” he told me. “It puts a fundamental limit on questions we can answer with computers. It tells us to go for approximation—more approximate solutions, which find many right answers, but not all right answers. That’s a positive, because it constrains me from trying to do stupid things, trying to do impossible things.”\nAt the Brooklyn Commons, a keg of Turmeric Sunrise kombucha was the popular drink during class breaks, which people spent pondering the pronunciation of “Gödel.” (“Goy-del?” “Good-ul?” “Girdle?”) I asked my classmates whether they had heard of the sci-fi writer Rudy Rucker’s book “Spacetime Donuts,” which includes a minor character named Professor G. Kurtowski. The answer was no, but as the American pragmatist noted, “Kurtowski is significantly easier to pronounce than ‘Guuuudel.’ ” In Gödel’s archives, there is a full file of letters from Rucker. “I was looking for a guru,” Rucker told me. He first visited with the great man in 1972, as a graduate student, and thereupon Gödel joined his other mentors—Frank Zappa, Robert Crumb, William Burroughs, and Thomas Pynchon. Pynchon, in his novel “Gravity’s Rainbow,” paraphrased incompleteness by mapping it onto Murphy’s Law, “that brash Irish proletarian restatement of Gödel’s Theorem—when everything has been taken care of, when nothing can go wrong, or even surprise us … something will.” “Yeah,” our instructor said. “Metaphorically, yeah, I can see it.”\nAs the course progressed, the Gödelians remained divided in their enlightenment. An early verdict, from a lawyer studying for the bar, was that Gödel, with his loopy logic, seemed to be cheating. Later, the private-school teacher raised his hand and declared that the last bit of chalk-and-talk instruction made perfect sense. From my distractible perspective across the table, though, his semi-eureka experience looked like the misinterpretation of a sugar high, since he’d just eaten seven Oreo Thins from the pile of communal snacks. And, anyway, it would all come to nothing if not incompleteness.\nQuoted archival text from the Kurt Gödel Papers, held by the Institute for Advanced Study, in Princeton, New Jersey, and on deposit at the Firestone Library.","isBasedOn":"","articleSection":"annals of technology","author":[{"@type":"Person","name":"Siobhan Roberts","sameAs":"https:\u002F\u002Fwww.newyorker.com\u002Fcontributors\u002Fsiobhan-roberts"}],"dateModified":"2016-06-29T07:00:38.000-04:00","datePublished":"2016-06-29T03:00:38.000-04:00","headline":"Waiting for Gödel","image":["https:\u002F\u002Fmedia.newyorker.com\u002Fphotos\u002F590977f92179605b11ad8831\u002Fmaster\u002Fw_2000,h_3008,c_limit\u002FRoberts-KurtGodel.jpg"],"keywords":["annals of technology","mathematics","web"],"thumbnailUrl":"","url":"https:\u002F\u002Fwww.newyorker.com\u002Ftech\u002Fannals-of-technology\u002Fwaiting-for-godel","isPartOf":{"@type":"CreativeWork","name":"The New Yorker"},"isAccessibleForFree":true,"alternativeHeadline":"Siobhan Roberts reports on class offered by the Brooklyn Institute for Social Research on the mathematician Kurt Gödel’s incompleteness theorem.","description":"Siobhan Roberts reports on class offered by the Brooklyn Institute for Social Research on the mathematician Kurt Gödel’s incompleteness theorem.","mainEntityOfPage":{"@type":"WebPage","@id":"https:\u002F\u002Fwww.newyorker.com\u002Ftech\u002Fannals-of-technology\u002Fwaiting-for-godel"},"publisher":{"@context":"https:\u002F\u002Fschema.org","@type":"Organization","name":"The New Yorker","logo":{"@type":"ImageObject","url":"https:\u002F\u002Fwww.newyorker.com\u002Fverso\u002Fstatic\u002Fthenewyorker-us\u002Fassets\u002Fthe-new-yorker-seo-logo.jpg","width":"1200px","height":"630px"},"url":"https:\u002F\u002Fwww.newyorker.com"}},{"@context":"https:\u002F\u002Fschema.org\u002F","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"name":"Tech","item":"https:\u002F\u002Fwww.newyorker.com\u002Ftech"},{"@type":"ListItem","position":2,"name":"Mathematics","item":"https:\u002F\u002Fwww.newyorker.com\u002Ftag\u002Fmathematics"},{"@type":"ListItem","position":3,"name":"Waiting for Gödel"}]}],"head.contentID":"5924eec6fc1a6c1c6785cc14","head.pageType":"article","head.photos":{"image-16-9":"https:\u002F\u002Fmedia.newyorker.com\u002Fphotos\u002F590977f92179605b11ad8831\u002F16:9\u002Fw_1000,c_limit\u002FRoberts-KurtGodel.jpg","image-1-1":"https:\u002F\u002Fmedia.newyorker.com\u002Fphotos\u002F590977f92179605b11ad8831\u002F1:1\u002Fw_1000,c_limit\u002FRoberts-KurtGodel.jpg"},"head.firstPublishDate":"2016-06-29T07:00:38.000Z","head.primaryTagsRoot":"tags","head.hasSponsoredContent":false,"head.modifiedDate":"2016-06-29T11:00:38.000Z","head.noIndex":false,"ethyca":{"enableEthyca":true,"gpp":false,"propertyId":"FDS-X00MZ3"},"linkBannerData":{"bannerType":"marquee","dek":"","hed":"","image":{},"links":[],"tracking":{"trackingIdentifier":"","attributes":{}}},"linkBannerId":[],"navigation":{"aboutText":"The writers you love. 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2240w","height":3850}},"masterAspectRatio":"2000:3008"}},"type":"image"}]],["inline-embed",{"props":{"name":"dropcap","attrs":{},"childTypes":[]},"ref":"","type":"callout:dropcap"},["p",{"class":"has-dropcap has-dropcap__lead-standard-heading"},"In June of 1975, the Office of the White House Press Secretary announced President Gerald R. Ford’s picks for the National Medal of Science. One went to the Austrian-born mathematician and logician Kurt Gödel. Nicknamed Mr. Why by his parents, Gödel was known to a subset of his constituents as, simply, God. He received fan mail from all over the world, archiving it into files of “autograph requests,” “inquiries from students and amateurs,” “letters of appreciation,” and “crank correspondence.” A self-described “dunce fool of Mathematics” in West Bengal wrote seeking Gödel’s “Guruship,” and a svelte math teacher in California confessed that she’d taken the liberty of enlarging a photo of Gödel to make a poster for her classroom. (She’d also taken the liberty of enclosing a snapshot of herself.) Ultimately, Gödel came to be compared not only to ",["a",{"href":"https:\u002F\u002Fwww.newyorker.com\u002Fmagazine\u002F2005\u002F02\u002F28\u002Ftime-bandits-2","isExternal":false},"his friend Albert Einstein"]," but also to Franz Kafka. Such was the nature of his contribution—only a handful of theorems, but all of them monumental and fantastical."]],["p",{"class":"paywall"},"Gödel’s masterpiece was his incompleteness theorem, which ranks in scientific folklore with ",["a",{"href":"https:\u002F\u002Fwww.newyorker.com\u002Ftopics\u002Feinstein-relativity-at-a-hundred","isExternal":false},"Einstein’s relativity"]," and Heisenberg’s uncertainty. Promulgated in Vienna in the early nineteen-thirties, the notion of incompleteness threw mathematics into a hall of mirrors, where it reflected upon itself to alluring, if disorienting, effect: the theorem proved, using mathematics, that mathematics could not prove all of mathematics. Of course, it has a proper and technically precise formulation, but the late logician Verena Huber-Dyson paraphrased it for me as follows: “There is more to ",["em","truth"]," than can be caught by ",["em","proof"],".” Or, as the British novelist Zia Haider Rahman put it in his award-winning début, “In the Light of What We Know,” “Within any given system, there are claims which are true but which cannot be proven to be true.”"],["p",{"class":"paywall"},"So although Gödel published his results eighty-five years ago, the theorem endures in the popular imagination. This month, a group of latter-day Gödelians convened on Thursday nights for a crash course in incompleteness, on the roster at the Brooklyn Institute for Social Research. One syllabus text promised “Gödel Without (Too Many) Tears,” while supplementary reading unpacked his work ",["a",{"href":"http:\u002F\u002Fmind.oxfordjournals.org\u002Fcontent\u002F103\u002F409\u002F1.extract","rel":"nofollow noopener","attributes":{"data-offer-url":"http:\u002F\u002Fmind.oxfordjournals.org\u002Fcontent\u002F103\u002F409\u002F1.extract"},"isExternal":true},"“in Words of One Syllable.”"]," According to “Gödel’s Theorem: An Incomplete Guide to Its Use and Abuse,” the chameleon interpretations emerge in discussions of math, philosophy, computer science, and artificial intelligence, as one might expect, but also in ruminations on physics, evolution, religion, atheism, poetry, hip-hop, dating, politics, and even the Constitution. (Famously, Gödel informed the judge at his U.S. citizenship hearing about an inconsistency that he had discovered in the Constitution, which would allow a dictator to rise in America.)"],["journey-inline-newsletter",{"newsletterType":"slim-newsletter","newsletters":[]}],["inline-newsletter",{"newsletterType":"slim-newsletter","newsletters":[]}],["p",{"class":"paywall"},"The students in the incompleteness class, held at the Brooklyn Commons, included a computer scientist obsessed with recursion (that is, self-referential things, like Russian nesting dolls or Escher’s drawing of a hand drawing a hand); a public-health nutritionist with a fondness for her “Philo_sloth_ical” T-shirt; a philosopher in the tradition of American pragmatism; an ad man versed in the classics; and a private-school teacher who’d spent a lonely, life-changing winter reading Douglas Hofstadter’s “Gödel, Escher, Bach,” which won the Pulitzer in 1980. Even Hofstadter, a professor of cognitive science at Indiana University, still has Gödel on the brain. He delivered two talks on the logician recently, billing him as “The True Inventor of Programming Languages and Data Structures.” When I told Hofstadter about the course—not everyone’s ideal Thursday night out on the town—he said, “It ought to be quite fun.”"],["p",{"class":"paywall"},"In total, eight people enrolled for the class, a fitting number, since “8” rotated by ninety degrees is “∞,” and infinity is, in a sense, where the trouble began with this trippy episode in the history of mathematics. In the nineteenth century, the German mathematician Georg Cantor launched an investigation into various sizes of infinities, thereby inventing set theory, which became an overarching paradigm for mathematics. “A set is a Many that allows itself to be thought of as a One,” Cantor said. But, from nearby realms of logic, paradoxes emerged, such as the Russell set, the set of all sets that do not contain themselves. In the early twentieth century, Bertrand Russell and Alfred North Whitehead, with “Principia Mathematica,” and David Hilbert, with “Hilbert’s Program,” attempted to construct a solid foundation for mathematics, creating a formal system based on axioms and rules. Gödel, with his incompleteness theorem (two theorems, actually), put an end to these dreams. He proved, to borrow from the course outline:"],["blockquote",{"class":"paywall"},["p","For any consistent axiomatic formal system that can express facts about basic arithmetic:"],["ol",["li",["p","There are true statements that are unprovable within the system."]],["li",["p","The system’s consistency cannot be proven within the system."]]]],["p",{"class":"paywall"},"Puzzled? Russell admitted the same. He wondered, “Are we to think that 2+2 is not 4, but 4.001?”"],["inline-embed",{"type":"cneinterlude","props":{"brand":"newyorker","embeddedVideos":[],"hasExcludedEmbed":false,"playerBase":"https:\u002F\u002Fplayer.cnevids.com","isRightRail":false,"relatedVideo":{"showRelatedVideo":false,"brand":"newyorker","related":{"hed":"Einstein’s First Proof","id":"5924e859c607487ed1dead9b","inlineEmbeds":[],"metadata":{"contentType":"article"},"locationRubric":{},"channelRubric":{},"toutMedia":{"node":{"bookMarkedUrl":"https:\u002F\u002Fmedia.newyorker.com\u002Fphotos\u002F59097241c14b3c606c108176\u002Fmaster\u002Fpass\u002FStrogatz-Einstein-First-Proof.jpg","altText":"A physicist’s genius turns up in his boyhood geometry.","aspectRatios":[{"name":"master","url":"https:\u002F\u002Fgp-prd-global-clips-s3.s3.amazonaws.com\u002Fpublic\u002Ftny-services\u002Fproduction\u002F2017\u002F05\u002F03\u002F59097241c14b3c606c108175_Strogatz-Einstein-First-Proof.jpg","width":2400,"height":1140,"format":"JPEG","modifications":null}],"caption":"A physicist’s genius turns up in his boyhood geometry.","contextualBody":null,"contextualCaption":null,"contextualTitle":null,"cropMode":"TOP","credit":"Illustration by Tomi Um","filename":"Strogatz-Einstein-First-Proof.jpg","id":"59097241c14b3c606c108176","metadata":{"contentType":"photo"},"contentWarnings":[],"restrictCropping":false,"__typename":"Photo"}},"contributors":{"author":[{"__typename":"Contributor","id":"5910a78edd6207318b5db8f5","url":"contributors\u002Fsteven-strogatz","name":"Steven Strogatz","title":"Steven Strogatz is a professor of mathematics at Cornell. 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For Peter O’Hearn, an engineering manager at Facebook and professor at University College London, the incompleteness “wow moment” was fuelled by visits to the brewpub during graduate school. O’Hearn is the co-recipient of this year’s Gödel Prize—he and a colleague, Stephen Brookes, invented concurrent separation logic, a revolutionary proof system for computer software. “Gödel’s theorem has a major impact on what all computer scientists do,” he told me. “It puts a fundamental limit on questions we can answer with computers. It tells us to go for approximation—more approximate solutions, which find many right answers, but not all right answers. That’s a positive, because it constrains me from trying to do stupid things, trying to do impossible things.”"],["cm-unit"],["p",{"class":"paywall"},"At the Brooklyn Commons, a keg of Turmeric Sunrise kombucha was the popular drink during class breaks, which people spent pondering the pronunciation of “Gödel.” (“Goy-del?” “Good-ul?” “Girdle?”) I asked my classmates whether they had heard of the sci-fi writer Rudy Rucker’s book “Spacetime Donuts,” which includes a minor character named Professor G. Kurtowski. The answer was no, but as the American pragmatist noted, “Kurtowski is significantly easier to pronounce than ‘Guuuudel.’ ” In Gödel’s archives, there is a full file of letters from Rucker. “I was looking for a guru,” Rucker told me. He first visited with the great man in 1972, as a graduate student, and thereupon Gödel joined his other mentors—Frank Zappa, Robert Crumb, William Burroughs, and Thomas Pynchon. Pynchon, in his novel “Gravity’s Rainbow,” paraphrased incompleteness by mapping it onto Murphy’s Law, “that brash Irish proletarian restatement of Gödel’s Theorem—",["em","when everything has been taken care of, when nothing can go wrong, or even surprise us … something will"],".” “Yeah,” our instructor said. “Metaphorically, yeah, I can see it.”"],["p",{"class":"paywall"},"As the course progressed, the Gödelians remained divided in their enlightenment. An early verdict, from a lawyer studying for the bar, was that Gödel, with his loopy logic, seemed to be cheating. Later, the private-school teacher raised his hand and declared that the last bit of chalk-and-talk instruction made perfect sense. From my distractible perspective across the table, though, his semi-eureka experience looked like the misinterpretation of a sugar high, since he’d just eaten seven Oreo Thins from the pile of communal snacks. And, anyway, it would all come to nothing if not incompleteness."],["p",{"class":"paywall"},["em","Quoted archival text from the Kurt Gödel Papers, held by the Institute for Advanced Study, in Princeton, New Jersey, and on deposit at the Firestone Library."]]],"pageStructure":[["inline-embed",334,"callout"],["p",136],["p",141],["p",140],["p",165],["blockquote",64],["p",18],["inline-embed",0,"cneinterlude"],["p",145],["cm-unit",0],["p",173],["p",94],["p",26]],"hasAffiliateLinks":false,"affiliateLinksCount":0,"isCommerceContent":false,"contributorSpotLightProps":{"header":{"name":"Siobhan Roberts","title":"Siobhan Roberts is the author of “Genius at Play: The Curious Mind of John Horton Conway.”","url":"\u002Fcontributors\u002Fsiobhan-roberts","dangerousBio":null}},"contentWarnings":[],"showBookmark":true,"featureFlags":{"shouldUseBookmarkV3":true,"enableSlimNewsletter":false,"enableAllContributorsOnBundles":true,"enableEntitlementProxy":true,"enableEntitlementValidation":true,"enableFictionContributor":true,"enableGqlForLinkBanner":true,"enableLinkStack":true,"enableRecipeRatings":false,"enableUserContext":true,"hideRelatedOnBundles":true,"shouldExtractRecircRubricFromCategories":true,"recentWorkTeaser":"rubric-or-channel","bundleTeaser":"rubric-or-channel-or-section","contentTeaser":"rubric-or-channel-or-section","tagTeaser":"rubric-or-channel","preferCollectionGrid":true,"overrideBodyContentHeadings":true,"enableSponsoredContentInRelated":false,"personalizeRecircMostPopular":true,"videoPersistable":false,"google":{"swgEnabled":false,"signInEnabled":true},"featureOnboarding":{"bookmarks":false},"enableContributorAuthorHub":true,"applyPlaceHolderImage":false,"enableAudioIcon":false,"enableEnhancedCartoonExperience":true},"isUpcEnabled":false,"isLinkStackEnabled":true,"hasTruncationOnMobile":false,"headerProps":{"sponsoredContentHeaderProps":null,"contentHeaderCategories":{"hasCategoryEyebrow":false},"contentSponsorNames":[],"contributors":{"author":{"items":[{"dangerousBio":null,"dangerousTitle":"\u003Ca href=\"\u002Fcontributors\u002Fsiobhan-roberts\"\u003ESiobhan Roberts\u003C\u002Fa\u003E is the author of “Genius at Play: The Curious Mind of John Horton Conway.”","name":"Siobhan Roberts","socialMedia":[{"handle":"sioroberts","network":"twitter","label":"Follow Siobhan Roberts on X"}],"url":"\u002Fcontributors\u002Fsiobhan-roberts"}]}},"dangerousHed":"Waiting for Gödel","dangerousDek":"","hasContentHeaderLogo":false,"hidePublishDate":false,"issueDate":"","issueLink":"\u002Fmagazine\u002F","modifiedDate":"2016-06-29T07:00:38-04:00","publishDate":"June 29, 2016","rubric":{"name":"Annals of Technology","url":"\u002Ftech\u002Fannals-of-technology"},"showIssueCopyByDate":false,"hideRubric":false,"socialMedia":{"showBookmark":true,"links":[{"network":"facebook","behavior":"popup","url":"https:\u002F\u002Fwww.facebook.com\u002Fdialog\u002Ffeed?&display=popup&caption=Waiting%20for%20G%C3%B6del&app_id=1147169538698836&link=https%3A%2F%2Fwww.newyorker.com%2Ftech%2Fannals-of-technology%2Fwaiting-for-godel%3Futm_source%3Dfacebook%26utm_medium%3Dsocial%26utm_campaign%3Donsite-share%26utm_brand%3Dthe-new-yorker%26utm_social-type%3Dearned","label":"Share on Facebook"},{"network":"twitter","url":"https:\u002F\u002Ftwitter.com\u002Fintent\u002Ftweet\u002F?url=https%3A%2F%2Fwww.newyorker.com%2Ftech%2Fannals-of-technology%2Fwaiting-for-godel%3Futm_source%3Dtwitter%26utm_medium%3Dsocial%26utm_campaign%3Donsite-share%26utm_brand%3Dthe-new-yorker%26utm_social-type%3Dearned&text=Waiting%20for%20G%C3%B6del&via=NewYorker","label":"Share on X"},{"network":"email","url":"mailto:?subject=Waiting%20for%20G%C3%B6del&body=https%3A%2F%2Fwww.newyorker.com%2Ftech%2Fannals-of-technology%2Fwaiting-for-godel%3Futm_source%3Donsite-share%26utm_medium%3Demail%26utm_campaign%3Donsite-share%26utm_brand%3Dthe-new-yorker","label":"Share via Email"},{"network":"print","behavior":"print","label":"Print","url":"#"},{"behavior":"bookmark","label":"Save story","network":"bookmark","url":"#"}]},"socialTitle":"Waiting for Gödel","socialDescription":"The incompleteness theorem has entranced philosophers, novelists, and scientists for eighty-five years. 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