{"id":23059,"date":"2026-08-04T07:36:17","date_gmt":"2026-08-04T07:36:17","guid":{"rendered":"https:\/\/scannn.com\/the-end-of-the-age-of-heroes-by-noah-smith\/"},"modified":"2026-08-04T07:36:17","modified_gmt":"2026-08-04T07:36:17","slug":"the-end-of-the-age-of-heroes-by-noah-smith","status":"publish","type":"post","link":"https:\/\/scannn.com\/lv\/the-end-of-the-age-of-heroes-by-noah-smith\/","title":{"rendered":"The end of the age of heroes - by Noah Smith"},"content":{"rendered":"\n<div dir=\"auto\">\n<p>I had a great-uncle who was a \u201chuman calculator\u201d. It\u2019s an odd, rare ability that allows people to multiply large numbers quickly in their heads. I remember using a hand calculator and seeing if my uncle could get it right without a tool faster than I could; more often than not, he could. <\/p>\n<p>Human calculators used to be very valuable as employees, back when calculation was done by hand. Today they\u2019re just a curiosity. Technology came along and superseded that particular human ability, as it has so many others. The story of John Henry being superseded by the steam drill, or Paul Bunyan by the chainsaw, is a metaphor for the march of progress. In some cases, like Garry Kasparov or Lee Sedol losing to computers at chess and Go, the moment really happened. <\/p>\n<p><span>This week marked another important such moment in the history of man versus machine. <\/span><a href=\"https:\/\/openai.com\/index\/ten-advances-in-mathematics\/\">OpenAI announced<\/a><span> that its new model, Astra, managed to solve ten major outstanding problems in math and theoretical computer science. Here\u2019s <\/span><a href=\"https:\/\/www.datacamp.com\/blog\/open-ai-model-astra-solved-ten-open-math-problems\">a simple explanation<\/a><span> of the problems. The <\/span><a href=\"https:\/\/x.com\/nabeelqu\/status\/2083543826057048373?utm_source=chatgpt.com\">general consensus<\/a><span> seems <\/span><a href=\"https:\/\/x.com\/chrispeikert\/status\/2083950931301802053?utm_source=chatgpt.com\">to be that<\/a><span> these are <\/span><a href=\"https:\/\/thezvi.substack.com\/p\/openais-unreleased-model-astra-solves?utm_source=chatgpt.com\">extremely important<\/a><span>, stunning <\/span><a href=\"https:\/\/www.techmeme.com\/260801\/p11#a260801p11\">breakthroughs<\/a><span>. <\/span><\/p>\n<p><span>This does not mean that computers are now capable of doing every kind of math better than humans can. <\/span><a href=\"https:\/\/tjoresearchnotes.wordpress.com\/2026\/08\/02\/reaping-without-sowing\/\">Some people have argued<\/a><span> that AI is good at results where the solution can be found by reading the entire literature and combining existing insights \u2014 exactly the kind of thing you might expect a computer to be superhuman at \u2014 but still not as good as humans at making truly novel leaps of insight. This may represent a real, general limitation of LLMs\u2019 capabilities \u2014 as <\/span><a href=\"https:\/\/philsci-archive.pitt.edu\/28024\/1\/Scientific_Invention_Position_Paper%20%2817%29.pdf\">Tom Zahavy of Google DeepMind put it<\/a><span>, it may still be the case that \u201cLLMs can\u2019t jump.\u201d<\/span><\/p>\n<p><span>But the trend line is becoming clearer. The University of Toronto\u2019s Daniel Litt, one of the most prominent <\/span><a href=\"https:\/\/epochai.substack.com\/p\/ai-math-capabilities-could-be-jagged\">skeptics<\/a><span> of AI\u2019s potential for frontier math research, recently conceded a major bet about what AI could do:<\/span><\/p>\n<p><a href=\"https:\/\/x.com\/littmath\/status\/2083733224027500584\" target=\"_blank\" rel=\"noopener noreferrer\" data-component-name=\"Twitter2ToDOM\" class=\"pencraft pc-display-contents pc-reset\"><\/p>\n<div data-attrs=\"{&quot;url&quot;:&quot;https:\/\/x.com\/littmath\/status\/2083733224027500584&quot;,&quot;full_text&quot;:&quot;Incidentally I am conceding this bet. Strictly speaking it hasn\u2019t resolved (I think we\u2019ve yet to see an Annals-quality number theory paper) but it\u2019s clear I was wrong about what capabilities were necessary to produce one, and it\u2019s just a matter of time.&quot;,&quot;username&quot;:&quot;littmath&quot;,&quot;name&quot;:&quot;Daniel Litt&quot;,&quot;profile_image_url&quot;:&quot;https:\/\/pbs.substack.com\/profile_images\/1588888923081687045\/KGL3lgvC_normal.jpg&quot;,&quot;date&quot;:&quot;2026-08-02T01:54:49.000Z&quot;,&quot;photos&quot;:[],&quot;quoted_tweet&quot;:{&quot;full_text&quot;:&quot;I bet @littmath that in 5 years AI will be able to produce Annals-quality Number Theory papers at an inference budget at or below $100k\/paper, at 3:1 odds in my favor.&quot;,&quot;username&quot;:&quot;tamaybes&quot;,&quot;name&quot;:&quot;Tamay Besiroglu&quot;,&quot;profile_image_url&quot;:&quot;https:\/\/pbs.substack.com\/profile_images\/1919244153449553920\/ABOfcb-s_normal.jpg&quot;},&quot;reply_count&quot;:59,&quot;retweet_count&quot;:194,&quot;like_count&quot;:3172,&quot;impression_count&quot;:402905,&quot;expanded_url&quot;:null,&quot;video_url&quot;:null,&quot;video_preview_media_key&quot;:null,&quot;belowTheFold&quot;:false}\" class=\"pencraft pc-display-flex pc-flexDirection-column pc-gap-12 pc-padding-16 pc-reset bg-primary-zk6FDl outline-detail-vcQLyr pc-borderRadius-md sizing-border-box-DggLA4 pressable-lg-kV7yq8 font-text-qe4AeH tweet-fWkQfo twitter-embed\">\n<div class=\"pencraft pc-display-flex pc-flexDirection-row pc-gap-12 pc-alignItems-center pc-reset\">\n<div style=\"--scale:40px;\" class=\"pencraft pc-display-flex pc-width-40 pc-height-40 pc-justifyContent-center pc-alignItems-center pc-position-relative pc-reset bg-secondary-UUD3_J flex-auto-j3S2WA outline-detail-vcQLyr pc-borderRadius-full overflow-hidden-WdpwT6 sizing-border-box-DggLA4 container-TAtrWj\">\n<div style=\"--scale:40px;\" title=\"User\" class=\"pencraft pc-display-flex pc-width-40 pc-height-40 pc-justifyContent-center pc-alignItems-center pc-position-relative pc-reset bg-secondary-UUD3_J flex-auto-j3S2WA outline-detail-vcQLyr pc-borderRadius-full overflow-hidden-WdpwT6 sizing-border-box-DggLA4 container-TAtrWj\"><picture><source type=\"image\/webp\" srcset=\"https:\/\/substackcdn.com\/image\/fetch\/$s_!w4Qy!,w_40,h_40,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1588888923081687045%2FKGL3lgvC.jpg 1x, https:\/\/substackcdn.com\/image\/fetch\/$s_!w4Qy!,w_80,h_80,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1588888923081687045%2FKGL3lgvC.jpg 2x, https:\/\/substackcdn.com\/image\/fetch\/$s_!w4Qy!,w_120,h_120,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1588888923081687045%2FKGL3lgvC.jpg 3x\"\/><\/picture><\/div>\n<\/div>\n<p><span class=\"pencraft pc-reset weight-semibold-uqA4FV reset-IxiVJZ\">Daniel Litt<\/span><span class=\"pencraft pc-reset color-secondary-ls1g8s reset-IxiVJZ\">@littmath<\/span><\/p>\n<p><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" aria-hidden=\"true\" style=\"height:20px;width:20px;\" width=\"20\" height=\"20\" viewbox=\"0 0 20 20\" fill=\"var(--color-fg-primary)\" stroke-width=\"1.8\" stroke=\"#000\"><g><path stroke=\"none\" fill-rule=\"evenodd\" clip-rule=\"evenodd\" d=\"M13.2879 19.1666L8.66337 12.575L2.87405 19.1666H0.424805L7.57674 11.0258L0.424805 0.833252H6.71309L11.0717 7.04577L16.5327 0.833252H18.982L12.1619 8.59699L19.5762 19.1666H13.2879ZM16.0154 17.3083H14.3665L3.93176 2.69159H5.58092L9.7601 8.54422L10.4828 9.55981L16.0154 17.3083Z\"\/><\/g><\/svg><\/div>\n<p>Incidentally I am conceding this bet. Strictly speaking it hasn\u2019t resolved (I think we\u2019ve yet to see an Annals-quality number theory paper) but it\u2019s clear I was wrong about what capabilities were necessary to produce one, and it\u2019s just a matter of time.<\/p>\n<div class=\"pencraft pc-display-contents pc-reset elevatedTheme-fBklGV\">\n<div class=\"pencraft pc-display-flex pc-flexDirection-column pc-gap-8 pc-padding-12 pc-boxShadow-none pc-reset bg-primary-zk6FDl outline-detail-vcQLyr pc-borderRadius-sm sizing-border-box-DggLA4\">\n<div class=\"pencraft pc-display-flex pc-flexDirection-row pc-gap-8 pc-alignItems-center pc-reset\">\n<div style=\"--scale:20px;\" class=\"pencraft pc-display-flex pc-width-20 pc-height-20 pc-justifyContent-center pc-alignItems-center pc-position-relative pc-reset bg-secondary-UUD3_J flex-auto-j3S2WA outline-detail-vcQLyr pc-borderRadius-full overflow-hidden-WdpwT6 sizing-border-box-DggLA4 container-TAtrWj\">\n<div style=\"--scale:20px;\" title=\"User\" class=\"pencraft pc-display-flex pc-width-20 pc-height-20 pc-justifyContent-center pc-alignItems-center pc-position-relative pc-reset bg-secondary-UUD3_J flex-auto-j3S2WA outline-detail-vcQLyr pc-borderRadius-full overflow-hidden-WdpwT6 sizing-border-box-DggLA4 container-TAtrWj\"><picture><source type=\"image\/webp\" srcset=\"https:\/\/substackcdn.com\/image\/fetch\/$s_!Buwy!,w_20,h_20,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1919244153449553920%2FABOfcb-s.jpg 1x, https:\/\/substackcdn.com\/image\/fetch\/$s_!Buwy!,w_40,h_40,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1919244153449553920%2FABOfcb-s.jpg 2x, https:\/\/substackcdn.com\/image\/fetch\/$s_!Buwy!,w_60,h_60,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1919244153449553920%2FABOfcb-s.jpg 3x\"\/><img decoding=\"async\" src=\"https:\/\/substackcdn.com\/image\/fetch\/$s_!Buwy!,w_20,h_20,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1919244153449553920%2FABOfcb-s.jpg\" alt=\"X avatar for @tamaybes\" srcset=\"https:\/\/substackcdn.com\/image\/fetch\/$s_!Buwy!,w_20,h_20,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1919244153449553920%2FABOfcb-s.jpg 1x, https:\/\/substackcdn.com\/image\/fetch\/$s_!Buwy!,w_40,h_40,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1919244153449553920%2FABOfcb-s.jpg 2x, https:\/\/substackcdn.com\/image\/fetch\/$s_!Buwy!,w_60,h_60,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F1919244153449553920%2FABOfcb-s.jpg 3x\" width=\"20\" height=\"20\" draggable=\"false\" class=\"img-OACg1c object-fit-cover-u4ReeV pencraft pc-reset\"\/><\/picture><\/div>\n<\/div>\n<p><span class=\"pencraft pc-reset weight-semibold-uqA4FV reset-IxiVJZ\">Tamay Besiroglu<\/span> <span class=\"pencraft pc-reset color-secondary-ls1g8s reset-IxiVJZ\">@tamaybes<\/span><\/p>\n<\/div>\n<p>I bet @littmath that in 5 years AI will be able to produce Annals-quality Number Theory papers at an inference budget at or below $100k\/paper, at 3:1 odds in my favor.<\/p>\n<\/div>\n<\/div>\n<div class=\"pencraft pc-display-flex pc-flexDirection-column pc-gap-8 pc-reset\">\n<p><span class=\"pencraft pc-reset reset-IxiVJZ\">1:54 AM \u00b7 Aug 2, 2026<\/span><span class=\"pencraft pc-reset reset-IxiVJZ\"> \u00b7 <\/span><span class=\"pencraft pc-reset reset-IxiVJZ\">403K Views<\/span><\/p>\n<p><span class=\"pencraft pc-reset reset-IxiVJZ\">59 Replies<\/span><span class=\"pencraft pc-reset reset-IxiVJZ\"> \u00b7 <\/span><span class=\"pencraft pc-reset reset-IxiVJZ\">194 Reposts<\/span><span class=\"pencraft pc-reset reset-IxiVJZ\"> \u00b7 <\/span><span class=\"pencraft pc-reset reset-IxiVJZ\">3.17K Likes<\/span><\/p>\n<\/div>\n<\/div>\n<p><\/a><\/p>\n<p><span>Litt appears to no longer believe that there is any important type of math that AI won\u2019t soon be able to do, <\/span><a href=\"https:\/\/x.com\/littmath\/status\/2083733230168002676\">writing<\/a><span>: \u201cThe models don\u2019t yet seem able to do certain kinds of high quality research, but I also expect this is a matter of (not too much) time.\u201d <\/span><\/p>\n<p>Some mathematicians have reacted to this development with despair. Kirwin Hampshire\u2019s post is probably the most evocative and the most well-read:<\/p>\n<div data-attrs=\"{&quot;id&quot;:208406391,&quot;url&quot;:&quot;https:\/\/kirwinhampshire.substack.com\/p\/the-dark-night-of-mathematics&quot;,&quot;publication_id&quot;:6169237,&quot;embedding_publication_id&quot;:35345,&quot;publication_name&quot;:&quot;Ossuary Lost at Sea&quot;,&quot;publication_logo_url&quot;:&quot;https:\/\/substackcdn.com\/image\/fetch\/$s_!Qknu!,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fsubstack-post-media.s3.amazonaws.com%2Fpublic%2Fimages%2F2dc82231-91db-4759-b1a0-4152763e2d12_622x622.png&quot;,&quot;title&quot;:&quot;The Dark Night of Mathematics&quot;,&quot;truncated_body_text&quot;:&quot;I am going insane. During the last week or so LLMs have produced a number of counterexamples to significant long-standing conjectures. I will not recount these happenings here, there are many places where you can find the details.&quot;,&quot;date&quot;:&quot;2026-07-25T06:12:42.136Z&quot;,&quot;like_count&quot;:1148,&quot;comment_count&quot;:361,&quot;bylines&quot;:[{&quot;id&quot;:334711449,&quot;name&quot;:&quot;Kirwin Hampshire&quot;,&quot;handle&quot;:&quot;kirwinhampshire&quot;,&quot;previous_name&quot;:null,&quot;photo_url&quot;:&quot;https:\/\/substack-post-media.s3.amazonaws.com\/public\/images\/e9880abe-3218-4067-b9a9-add865a456b5_641x641.webp&quot;,&quot;bio&quot;:&quot;Writing&quot;,&quot;profile_set_up_at&quot;:&quot;2025-09-02T01:56:02.529Z&quot;,&quot;reader_installed_at&quot;:&quot;2025-11-17T03:51:04.707Z&quot;,&quot;publicationUsers&quot;:[{&quot;id&quot;:6293608,&quot;user_id&quot;:334711449,&quot;publication_id&quot;:6169237,&quot;role&quot;:&quot;admin&quot;,&quot;public&quot;:true,&quot;is_primary&quot;:true,&quot;publication&quot;:{&quot;id&quot;:6169237,&quot;name&quot;:&quot;Ossuary Lost at Sea&quot;,&quot;subdomain&quot;:&quot;kirwinhampshire&quot;,&quot;custom_domain&quot;:null,&quot;custom_domain_optional&quot;:false,&quot;hero_text&quot;:&quot;Essays and updates&quot;,&quot;logo_url&quot;:&quot;https:\/\/substack-post-media.s3.amazonaws.com\/public\/images\/2dc82231-91db-4759-b1a0-4152763e2d12_622x622.png&quot;,&quot;author_id&quot;:334711449,&quot;primary_user_id&quot;:334711449,&quot;theme_var_background_pop&quot;:&quot;#FF6719&quot;,&quot;created_at&quot;:&quot;2025-09-02T01:56:07.383Z&quot;,&quot;email_from_name&quot;:null,&quot;copyright&quot;:&quot;Kirwin Hampshire&quot;,&quot;founding_plan_name&quot;:null,&quot;community_enabled&quot;:true,&quot;invite_only&quot;:false,&quot;payments_state&quot;:&quot;disabled&quot;,&quot;language&quot;:null,&quot;explicit&quot;:false,&quot;homepage_type&quot;:&quot;newspaper&quot;,&quot;is_personal_mode&quot;:false,&quot;logo_url_wide&quot;:null}}],&quot;is_guest&quot;:false,&quot;bestseller_tier&quot;:null,&quot;status&quot;:{&quot;bestsellerTier&quot;:null,&quot;subscriberTier&quot;:null,&quot;leaderboard&quot;:null,&quot;vip&quot;:false,&quot;badge&quot;:null,&quot;subscriber&quot;:null}}],&quot;utm_campaign&quot;:null,&quot;belowTheFold&quot;:true,&quot;type&quot;:&quot;newsletter&quot;,&quot;language&quot;:&quot;en&quot;,&quot;source&quot;:null}\" data-component-name=\"EmbeddedPostToDOM\" class=\"embedded-post-wrap\"><a native=\"true\" href=\"https:\/\/kirwinhampshire.substack.com\/p\/the-dark-night-of-mathematics?utm_source=substack&amp;utm_campaign=post_embed&amp;utm_medium=web&amp;embedding_publication_id=35345\" class=\"embedded-post\"><\/p>\n<div class=\"embedded-post-title-wrapper\">\n<p>The Dark Night of Mathematics<\/p>\n<\/div>\n<p>I am going insane. During the last week or so LLMs have produced a number of counterexamples to significant long-standing conjectures. I will not recount these happenings here, there are many places where you can find the details\u2026<\/p>\n<p><span class=\"embedded-post-cta\">Read more<\/span><\/p>\n<p>12 days ago \u00b7 1148 likes \u00b7 361 comments \u00b7 Kirwin Hampshire<\/p>\n<p><\/a><\/div>\n<p>He writes:<\/p>\n<blockquote>\n<p>I am suffering a profound spiritual crisis due to these developments. I have been screaming internally for days. It feels as though I am living inside of a nightmare\u2026For me, the affective quality of learning mathematics is empathetically tethered to an act of discovery and creation\u2026If The Library of Babel existed, would authors continue to write books?\u2026<\/p>\n<p>Perhaps I shouldn\u2019t tell you this, but my aim is to be open: These developments have triggered some deranged thoughts in me. I have wondered if it is the express goal of these companies to make me kill myself\u2026The story of human discovery and the triumph of the human spirit will soon be excised from this discipline\u2026[T]he process of prompting novel proofs will be as auraless as ordering doordash. Watch as magic and mystery evaporate. Watch as the sun sets on our heroic age\u2026<\/p>\n<p>There is nothing I can do. There may be nothing you can do. I have no prescriptions, policy recommendations, or coherent call to action. I just want to be honest and open about my emotional and spiritual response. I want to feel seen\u2026.I need the architects of our new mathematical paradigm to look me in the eye and acknowledge our shared humanity and soul before they deliver the coup de gr\u00e2ce.<\/p>\n<\/blockquote>\n<p><span>Math PhD student Tasmin Chu, meanwhile, <\/span><a href=\"https:\/\/tasmin.substack.com\/p\/mathematicians-need-to-act\">urges a more confrontational path<\/a><span>, calling on mathematicians to avoid working with AI companies and to aggressively preserve the way that math research is currently done. This seems extremely unlikely (and would fail if it were attempted), but it demonstrates the depth of emotion out there. <\/span><\/p>\n<p><span>Even the mathematicians who don\u2019t share Hampshire\u2019s despair have <\/span><a href=\"https:\/\/x.com\/wtgowers\/status\/2052830957879599513\">expressed alarm<\/a><span> at the sudden disruption of their profession. The entire way that mathematical research works \u2014 training grad students, working on problems, collaborating with colleagues, building theories \u2014 is going to have to be overhauled. <\/span><\/p>\n<p>I\u2019m not a mathematician; I never have been. I can\u2019t fully understand what mathematicians are going through right now. But I do have a few thoughts on what AI\u2019s supersession of human mathematics research means for our species, so I thought I might as well share those. Some of these ideas are a little vague and half-formed, and for that I apologize in advance. <\/p>\n<p><span>Humans have always valued standout individual achievement \u2014 <\/span><em>heroism<\/em><span>. We pride ourselves on being able to do what no one else could have done, and we heap status and respect on people who make standout achievements. But this was always a little bit of an illusion; most of what we did was always a <\/span><em>collective<\/em><span> enterprise. Workers work in teams, and those teams rely not just on the resources of their organizations, but on the smooth operation of a whole network of other teams and organizations all over the world. Even the most heroic entrepreneur stands on the shoulders of a vast number of workers; Elon Musk could not build a rocket, nor could Jeff Bezos create Amazon Web Services. And neither SpaceX nor Amazon could have been built in Somalia. <\/span><\/p>\n<p><span>We always bridled at being reminded of this; when Obama told entrepreneurs \u201c<\/span><a href=\"https:\/\/en.wikipedia.org\/wiki\/You_didn%27t_build_that\">You didn\u2019t build that<\/a><span>\u201d, he was making the anodyne point that organizations and institutions matter, but people still got very mad. We motivate ourselves with our own sense of heroism, and to be reminded that we\u2019re cogs in a machine greater than ourselves makes life seem a little less meaningful. <\/span><\/p>\n<p><span>The scientific enterprise was also always mostly a collective one. If you look at what almost any scientist does, they\u2019re simply adding a little bit of data to our pool of collective knowledge. Almost all research is incremental stuff \u2014 a slightly novel experiment, a little wrinkle in an existing theory \u2014 and <\/span><a href=\"https:\/\/pmc.ncbi.nlm.nih.gov\/articles\/PMC1182327\/\">many published research findings are false<\/a><span>, and yet the scientific enterprise collectively gropes its way toward the truth. Even Nobel prize winners are often just managers of huge teams of researchers who never get gold medals or get to give speeches in Stockholm. <\/span><\/p>\n<p><span>In essence, humans were always what we now call <\/span><em><a href=\"https:\/\/en.wikipedia.org\/wiki\/Edge_computing\">edge compute<\/a><\/em><span> \u2014 little devices that reported data back to a central world-mind. Except the world-mind we reported to wasn\u2019t a computer; it was <\/span><em>society itself<\/em><span> \u2014 the network of corporations, governments, universities, and human networks that disseminated human knowledge and coordinated our actions. We started off by learning pieces of what the world-mind already knew (i.e. education). Then we walked around and saw slightly different things, had different experiences, chewed on tiny bits of bigger problems, gathered a little new data, and so on. <\/span><\/p>\n<p>We mixed our tiny bits of unique experience with what we learned from the world-mind, and the resulting product was slightly novel because our individual experiences were unique. Then we reported this slightly-novel mix back to the world-mind \u2014 with scientific papers, PowerPoint presentations, office conversations, memos, and so on. The world-mind reassimilated our contribution, and learned, and grew a little bit wiser. <\/p>\n<p><span>But there were a few of us who really did get to be heroes \u2014 or at least, a bit more heroic than the rest. Whether because of greater raw ability, or a luckily unique perspective, there were some people who could do things that <\/span><em>the entire rest of the world couldn\u2019t do<\/em><span>. There are examples from politics and business and art, but there was always something special about the heroes of mathematical theory. Isaac Newton invented calculus and classical mechanics all by himself. Grigori Perelman, sitting in his little room in Russia, <\/span><a href=\"https:\/\/medium.com\/@phacks\/how-grigori-perelman-solved-one-of-maths-greatest-mystery-89426275cb7\">solved a famous math problem<\/a><span> that had bedeviled the entire profession for decades. Andrew Wiles did something similar a generation earlier.<\/span><\/p>\n<p><span>These advances weren\u2019t done <\/span><em>ex nihilo<\/em><span>, of course \u2014 every great discoverer and inventor stood on the shoulders of proverbial giants. But in mathematical theory there was almost always some nub of hard work, some brilliant leap of genius, that belonged to one person alone. Some part of the excitement of becoming a mathematician surely had to do with the dream of becoming one of those heroes, without whom a great discovery simply couldn\u2019t have been made.  <\/span><\/p>\n<p><span>But that heroism was necessary because of an inherent limitation in the way the old world-mind was built. Society is far more complex than any single human, but it requires <\/span><em>individual communication<\/em><span> in order to transmit ideas. A mathematical theorem has to be expressed in terms that one grad student can learn, or one professor can teach to another. This meant that every idea that got added to the collective ultimately had to be comprehensible by a single human being.<\/span><span style=\"min-width:0;\" data-state=\"closed\"\/><span> Which meant that it had to be initially <\/span><em>conceived of<\/em><span> by a single human being as well. The people who conceived of those almost-impossible-to-conceive ideas were our heroes, and mathematicians were perhaps the most heroic among them. <\/span><\/p>\n<p><span>We normally think of AI as something that replaces a single human worker, but I think that\u2019s the wrong way to think of it. AI is really a new <\/span><em>world-mind<\/em><span> \u2014 a technology that takes the accumulated findings of individual humans (or robots, or other sensors) and integrates them into a general picture of the world. AI uses all of human knowledge as its training data; each time one of us reports a new scientific finding or expresses a new perspective, that adds to AI\u2019s knowledge and understanding of the world. This is what people mean when they say to \u201c<\/span><a href=\"https:\/\/www.astralcodexten.com\/p\/writing-for-the-ais\">write for the AIs<\/a><span>\u201d, but in fact every scientist and every businessperson is just writing for the AIs now, whether they intend to or not. <\/span><\/p>\n<p>(I actually think of a financial analogy here. Before the crash of 2008, most financial derivatives \u2014 the complex CDOs and such that ended up being involved in the crisis \u2014 were traded over-the-counter, by people calling up other people and selling them products. After the Dodd-Frank legislation, trading of most derivatives shifted to central clearinghouses. The shift from human organizations to AI as our coordinating superintelligence feels a little like the shift from OTC information exchange to a central clearinghouse.)<\/p>\n<p>But unlike human society, AI doesn\u2019t need heroic human geniuses. Its ability to understand complex ideas is not limited by the ability of a single human brain to apprehend, intuit, or communicate those ideas. The information bottlenecks that our greatest mathematicians were able to slightly widen have now been done away with completely \u2014 or will be soon. <\/p>\n<p><span>That doesn\u2019t mean human scientists and thinkers have become irrelevant. At least for now, AI still requires us to provide the role of <\/span><em>edge compute<\/em><span>. We go out into the world, discover new facts, mix them with our unique individual experiences to form new perspectives, and communicate all this back to the AI world-mind. For most people \u2014 even most scientists \u2014 this is basically the same thing they were doing before, except instead of a group of their colleagues at a seminar, they\u2019ll be reporting their findings to AI. <\/span><\/p>\n<p><span>And for lots of scientists, AI\u2019s mathematical prowess is going to open up a new golden age. Math was always one of the hardest parts of science; it\u2019s something our brains aren\u2019t naturally adapted to. Now that constraint is alleviated. Economists don\u2019t have to worry about wracking their brains writing theory sections; they can focus on getting data and understanding empirical results. Przemek Chojecki <\/span><a href=\"https:\/\/www.linkedin.com\/posts\/przchojecki_ai-disrupts-the-job-of-a-mathematician-share-7489972992777728000-chBf\/\">writes<\/a><span>: <\/span><\/p>\n<blockquote>\n<p>From a perspective of science or mathematics (not mathematicians), this is the best time ever. AI will lead us to the new age of mathematical discoveries and boost science progress 100x.<\/p>\n<\/blockquote>\n<p><span>Whether it\u2019s 100x or 1.5x remains to be seen, of course. But the point is that people for whom mathematics is an <\/span><em>input<\/em><span> to understanding the world, rather than an<\/span><em> output<\/em><span>, just gained access to an incredibly powerful tool that makes their lives much easier. For most people, math was always a <\/span><em>burden<\/em><span>, like stamping metal or drilling holes. Now that burden has been alleviated by machines. <\/span><\/p>\n<p><span>At least until systems of robots and sensors eliminate the need for human research labor, most scientists will get to be a little <\/span><em>more<\/em><span> heroic than before. They\u2019ll be like the characters in Star Trek \u2014 exploring the unknown with the aid of unfathomably powerful machines. <\/span><\/p>\n<p><span>But mathematicians, and anyone else whose sense of accomplishment came from being the indispensable solvers of hard theoretical problems, will have to learn to get their sense of self-worth and accomplishment from other sources. Jacob Tsimerman, who just won the Fields Medal and promptly took a job at OpenAI, <\/span><a href=\"https:\/\/x.com\/Jacob_Tsimerman\/status\/2051116022585770170\">sums it up<\/a><span>:<\/span><\/p>\n<blockquote>\n<p><span>I do not do mathematics only to find truth. I do it largely because I enjoy it and I am good at it. I also find it beautiful and am grateful I get to spend my days understanding beautiful things. But I enjoy the challenge, the process, resolving confusions, finding strategies, grappling with problems\u2026There are many people whose primary enjoyment of math comes through problem solving in one of its incarnations. If that disappears, that is not a trivial issue and many of them might not want to do it anymore.<\/span><\/p>\n<\/blockquote>\n<p><span>So what<\/span><em> will<\/em><span> mathematicians do in the new AI age?<\/span><\/p>\n<p><span>First of all, let me say that I do<\/span><em> not<\/em><span> think AI will take mathematicians\u2019 jobs. I sometimes say that it will, but this is a joke. Even if AI is able to do 100% of what mathematicians do today, I believe that mathematicians will continue to be employed, <\/span><em>as mathematicians<\/em><span>, if they want. <\/span><\/p>\n<p>The reason is that mathematicians, as a class of people, are actually incredibly cheap. The sum total of all of the salaries of academic mathematicians in the U.S. is maybe $4-5 billion dollars at most. That\u2019s a rounding error on our GDP \u2014 it\u2019s about what we spend on bowling alleys, or Halloween candy. And to be brutally honest, only a few of those are actually doing frontier research \u2014 most are employed mainly as teachers. On top of that, it\u2019s an open question whether most of the frontier mathematical research being done by the very best mathematicians is actually producing value for money in economic terms \u2014 other than some cryptography and the occasional physics application, there isn\u2019t much use for most frontier math. <\/p>\n<p><span>In other words, we already employ most mathematicians because we think human understanding of math, even without industrial applications, is inherently worthwhile. That isn\u2019t likely to change in the age of AI. Even if AI \u201cdiscovers\u201d a vast number of new mathematical results, most people won\u2019t care; what will be important is that <\/span><em>some human<\/em><span> understands what AI has discovered. And yes, our society \u2014 which AI will make even richer than it is now \u2014 will be willing to pay the pittance it costs to keep human mathematicians employed as professional math-understanders. For the overwhelming majority of people, that situation will feel no different than what prevails today. <\/span><\/p>\n<p>This is actually a point a lot of people have been making:<\/p>\n<p><a href=\"https:\/\/x.com\/alexframegreen\/status\/2083989801871786078\" target=\"_blank\" rel=\"noopener noreferrer\" data-component-name=\"Twitter2ToDOM\" class=\"pencraft pc-display-contents pc-reset\"><\/p>\n<div data-attrs=\"{&quot;url&quot;:&quot;https:\/\/x.com\/alexframegreen\/status\/2083989801871786078&quot;,&quot;full_text&quot;:&quot;it's actually kind of beautiful that we'll be rate limited on our ability to understand plausibly true \\&quot;solutions\\&quot; generated by AI.  Science has always been about understanding what is true and what is not. Our job has not changed.&quot;,&quot;username&quot;:&quot;alexframegreen&quot;,&quot;name&quot;:&quot;Alexander Green&quot;,&quot;profile_image_url&quot;:&quot;https:\/\/pbs.substack.com\/profile_images\/2036275148681256964\/RvqH4MFV_normal.jpg&quot;,&quot;date&quot;:&quot;2026-08-02T18:54:22.000Z&quot;,&quot;photos&quot;:[],&quot;quoted_tweet&quot;:{},&quot;reply_count&quot;:4,&quot;retweet_count&quot;:3,&quot;like_count&quot;:40,&quot;impression_count&quot;:31573,&quot;expanded_url&quot;:null,&quot;video_url&quot;:null,&quot;video_preview_media_key&quot;:null,&quot;belowTheFold&quot;:true}\" class=\"pencraft pc-display-flex pc-flexDirection-column pc-gap-12 pc-padding-16 pc-reset bg-primary-zk6FDl outline-detail-vcQLyr pc-borderRadius-md sizing-border-box-DggLA4 pressable-lg-kV7yq8 font-text-qe4AeH tweet-fWkQfo twitter-embed\">\n<div class=\"pencraft pc-display-flex pc-flexDirection-row pc-gap-12 pc-alignItems-center pc-reset\">\n<div style=\"--scale:40px;\" class=\"pencraft pc-display-flex pc-width-40 pc-height-40 pc-justifyContent-center pc-alignItems-center pc-position-relative pc-reset bg-secondary-UUD3_J flex-auto-j3S2WA outline-detail-vcQLyr pc-borderRadius-full overflow-hidden-WdpwT6 sizing-border-box-DggLA4 container-TAtrWj\">\n<div style=\"--scale:40px;\" title=\"User\" class=\"pencraft pc-display-flex pc-width-40 pc-height-40 pc-justifyContent-center pc-alignItems-center pc-position-relative pc-reset bg-secondary-UUD3_J flex-auto-j3S2WA outline-detail-vcQLyr pc-borderRadius-full overflow-hidden-WdpwT6 sizing-border-box-DggLA4 container-TAtrWj\"><picture><source type=\"image\/webp\" srcset=\"https:\/\/substackcdn.com\/image\/fetch\/$s_!kYKK!,w_40,h_40,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F2036275148681256964%2FRvqH4MFV.jpg 1x, https:\/\/substackcdn.com\/image\/fetch\/$s_!kYKK!,w_80,h_80,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F2036275148681256964%2FRvqH4MFV.jpg 2x, https:\/\/substackcdn.com\/image\/fetch\/$s_!kYKK!,w_120,h_120,c_fill,f_webp,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F2036275148681256964%2FRvqH4MFV.jpg 3x\"\/><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/substackcdn.com\/image\/fetch\/$s_!kYKK!,w_40,h_40,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F2036275148681256964%2FRvqH4MFV.jpg\" alt=\"X avatar for @alexframegreen\" srcset=\"https:\/\/substackcdn.com\/image\/fetch\/$s_!kYKK!,w_40,h_40,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F2036275148681256964%2FRvqH4MFV.jpg 1x, https:\/\/substackcdn.com\/image\/fetch\/$s_!kYKK!,w_80,h_80,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F2036275148681256964%2FRvqH4MFV.jpg 2x, https:\/\/substackcdn.com\/image\/fetch\/$s_!kYKK!,w_120,h_120,c_fill,f_auto,q_auto:good,fl_progressive:steep\/https%3A%2F%2Fpbs.substack.com%2Fprofile_images%2F2036275148681256964%2FRvqH4MFV.jpg 3x\" width=\"40\" height=\"40\" draggable=\"false\" loading=\"lazy\" class=\"img-OACg1c object-fit-cover-u4ReeV pencraft pc-reset\"\/><\/picture><\/div>\n<\/div>\n<p><span class=\"pencraft pc-reset weight-semibold-uqA4FV reset-IxiVJZ\">Alexander Green<\/span><span class=\"pencraft pc-reset color-secondary-ls1g8s reset-IxiVJZ\">@alexframegreen<\/span><\/p>\n<p><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" aria-hidden=\"true\" style=\"height:20px;width:20px;\" width=\"20\" height=\"20\" viewbox=\"0 0 20 20\" fill=\"var(--color-fg-primary)\" stroke-width=\"1.8\" stroke=\"#000\"><g><path stroke=\"none\" fill-rule=\"evenodd\" clip-rule=\"evenodd\" d=\"M13.2879 19.1666L8.66337 12.575L2.87405 19.1666H0.424805L7.57674 11.0258L0.424805 0.833252H6.71309L11.0717 7.04577L16.5327 0.833252H18.982L12.1619 8.59699L19.5762 19.1666H13.2879ZM16.0154 17.3083H14.3665L3.93176 2.69159H5.58092L9.7601 8.54422L10.4828 9.55981L16.0154 17.3083Z\"\/><\/g><\/svg><\/div>\n<p>it&#8217;s actually kind of beautiful that we&#8217;ll be rate limited on our ability to understand plausibly true &#8220;solutions&#8221; generated by AI.  Science has always been about understanding what is true and what is not. Our job has not changed.<\/p>\n<div class=\"pencraft pc-display-flex pc-flexDirection-column pc-gap-8 pc-reset\">\n<p><span class=\"pencraft pc-reset reset-IxiVJZ\">6:54 PM \u00b7 Aug 2, 2026<\/span><span class=\"pencraft pc-reset reset-IxiVJZ\"> \u00b7 <\/span><span class=\"pencraft pc-reset reset-IxiVJZ\">31.6K Views<\/span><\/p>\n<p><span class=\"pencraft pc-reset reset-IxiVJZ\">4 Replies<\/span><span class=\"pencraft pc-reset reset-IxiVJZ\"> \u00b7 <\/span><span class=\"pencraft pc-reset reset-IxiVJZ\">3 Reposts<\/span><span class=\"pencraft pc-reset reset-IxiVJZ\"> \u00b7 <\/span><span class=\"pencraft pc-reset reset-IxiVJZ\">40 Likes<\/span><\/p>\n<\/div>\n<\/div>\n<p><\/a><\/p>\n<p>Just because you press a button and make AI solve a problem doesn\u2019t mean you understand the solution, and it doesn\u2019t mean you immediately have an idea of what other problems you\u2019d like solved. Mathematicians have been given an incredible new tool to understand the world \u2014 like miners getting hydraulic excavators or powered drills \u2014 and since the amount of math out there to be discovered is probably infinite, using that tool will take a lot of work. <\/p>\n<p><span>For those mathematicians whose sense of wonder and meaning comes primarily from <\/span><em>learning new things<\/em><span> \u2014 who do math to \u201cfind truth\u201d, in Jacob Tsimerman\u2019s words \u2014 life will only improve. And while that won\u2019t be as <\/span><em>heroic<\/em><span> of a job as what math research used to be, it\u2019ll still be a <\/span><em>prestigious<\/em><span> one, because most humans will still be unable to do it. Even if any high school kid can press a button and solve the Riemann Hypothesis, the output will just be gobbeldygook to them. <\/span><\/p>\n<p><span>And mathematicians who enjoy the extreme <\/span><em>mental difficulty<\/em><span> of math will still get to enjoy it. AI will make any given math problem a lot easier to solve, and it\u2019s generally a lot easier to understand a solution than to find one. But AI will also come up with \u2014 and will allow humans to come up with \u2014 <\/span><em>much harder problems<\/em><span> than have been created so far. There will be problems so difficult that even understanding AI\u2019s solutions will be as hard for a human as solving the <\/span><a href=\"https:\/\/mashable.com\/tech\/anthropic-fable-5-disproves-jacobian-conjecture\">Jacobian Conjecture<\/a><span> without the aid of a machine. <\/span><\/p>\n<p>As for people who just intrinsically enjoy the old way of discovering math, this will turn into a hobby, or a sport. Just as there are still sprinters even though humans can\u2019t outrun cars, there will still be mathletes. And just as there are still woodworkers even though machines can probably do a better job, there will still be smart people who try to solve math problems without the aid of AI. <\/p>\n<p><span>So mathematicians will still be able to get paid to do math. They\u2019ll still be able to learn new things, have fun, and get respect from society. The only thing they\u2019ll really lack is <\/span><em>heroism<\/em><span> \u2014 the knowledge that their own special, rare natural abilities alleviate a key bottleneck to human flourishing. <\/span><\/p>\n<p>But that\u2019s not so bad, really. Most people never get the chance to be heroes. Truck drivers don\u2019t. Financial advisers don\u2019t. Executive assistants don\u2019t. They have to find meaning just from being regular people \u2014 from taking care of their kids, having friends, having hobbies, joining civic organizations, getting involved in politics, and so on. It\u2019s not such a terrible fate.<\/p>\n<p data-attrs=\"{&quot;url&quot;:&quot;https:\/\/www.noahpinion.blog\/p\/the-end-of-the-age-of-heroes?utm_source=substack&amp;utm_medium=email&amp;utm_content=share&amp;action=share&quot;,&quot;text&quot;:&quot;Share&quot;,&quot;action&quot;:null,&quot;class&quot;:null}\" data-component-name=\"ButtonCreateButton\" class=\"button-wrapper\"><a href=\"https:\/\/www.noahpinion.blog\/p\/the-end-of-the-age-of-heroes?utm_source=substack&amp;utm_medium=email&amp;utm_content=share&amp;action=share\" class=\"button primary\"><span>Share<\/span><\/a><\/p>\n<\/div>\n<p><a href=\"https:\/\/www.noahpinion.blog\/p\/the-end-of-the-age-of-heroes?utm_source=tldrnewsletter\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I had a great-uncle who was a \u201chuman calculator\u201d. It\u2019s an odd, rare ability that allows people to multiply large numbers quickly in their heads. I remember using a hand calculator and seeing if my uncle could get it right without a tool faster than I could; more often than not, he could. Human calculators [&hellip;]<\/p>\n","protected":false},"author":16,"featured_media":23060,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[143],"tags":[],"class_list":["post-23059","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai"],"_links":{"self":[{"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/posts\/23059","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/comments?post=23059"}],"version-history":[{"count":0,"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/posts\/23059\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/media\/23060"}],"wp:attachment":[{"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/media?parent=23059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/categories?post=23059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/scannn.com\/lv\/wp-json\/wp\/v2\/tags?post=23059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}