1 Milyon Dolarlık Soruyu Yapay Zeka Cevapladı

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8 Eylül'de OpenAI, 2000 yılında başına 1 milyon dolar ödül konan 7 Milenyum probleminden biri olan Navier-Stokes'u yapay zeka ajanlarıyla çözdüğünü duyurdu. 10 bin ajan aralarında 2,7 milyon mesaj göndererek 88 saat çalışarak sonuca ulaştı. Yaklaşık 90 yıldır açık duran bir soru nasıl oluyor da 88 saatte cevaplanıyor? Bu videoda bir bardak çayla sorunun ne olduğunu, cevabın nereden çıktığını ve o yolu kimin açtığını anlatıyorum.

Nasreddin Hoca'nın yüzük fıkrasından Madrid'de 7 yıldır kâğıt kalemle çalışan iki matematikçiye, Erdős'ün 80 yıllık taş dizme sorusundan Kolomb ile Amerigo Vespucci'ye uzanan bir hikaye bu. Ve hepsi aynı soruya çıkıyor: bir makine gerçekten bir şey keşfedebilir mi?

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BÖLÜMLER:
00:00 Yüzük nerede?
01:31 1 milyon dolarlık duyuru
04:12 Çay bardağındaki soru
07:17 Bir söylenti, bir yarış
09:43 Sorunun iki yarısı
10:50 Karanlık yarıya bakanlar
13:24 Çözdüler mi?
17:20 Erdős'ün taşları
22:02 Amerika'yı kim keşfetti?
23:46 Soruyu kim soruyor?
24:50 Kaşık kimin elinde?
26:37 Yüzük

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KAYNAKLAR:

Duyuru, ispat ve Clay Enstitüsü
OpenAI duyurusu: https://openai.com/index/navier-stokes-solution/
İspat metni: https://cdn.openai.com/pdf/32d9f210-8b73-45e0-91bc-82a30aef8a9a/navier-stokes.pdf
İspatın ilk sürümü (arşiv): https://web.archive.org/web/20260908172948/https://cdn.openai.com/pdf/32d9f210-8b73-45e0-91bc-82a30aef8a9a/navier-stokes.pdf
Lean denetimi: https://github.com/openai/NavierStokesAndEuler
Clay Enstitüsü, problemin resmi metni: https://www.claymath.org/wp-content/uploads/2022/06/navierstokes.pdf
Clay Enstitüsü açıklaması: https://www.claymath.org/news/navier-stokes-announcement/

Haberler ve yorumlar
Quanta Magazine: https://www.quantamagazine.org/ai-has-solved-one-of-maths-1-million-millennium-prize-problems-20260908/
Scientific American, alanın geleceği: https://www.scientificamerican.com/article/ai-may-have-just-solved-a-million-dollar-math-problem-the-field-will-never-be-the-same/
Scientific American, doğru problem mi: https://www.scientificamerican.com/article/did-openai-solve-the-wrong-navier-stokes-problem/
MIT Technology Review: https://www.technologyreview.com/2026/09/08/1143747/what-openais-latest-controversy-tells-us-about-the-future-of-math/
TechCrunch, Buckmaster: https://techcrunch.com/2026/09/08/openai-fought-dirty-on-career-making-math-problem-says-nyu-mathematician/
Tristan Buckmaster'ın açıklaması: https://cims.nyu.edu/~tristanb/statement.pdf
Buckmaster ve Alpöge'nin sonucu: https://mastodon.social/@tristanbuckmaster/117233413705701198
Terence Tao'nun notu: https://mathstodon.xyz/@tao/117233527638291447
Hesaplama maliyeti: https://www.implicator.ai/clay-institute-navier-stokes-openai-proof-claim/
Kaşık çekilince tekillik kalkıyor: https://arxiv.org/abs/2609.20803
Öncelik tartışması: https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_priority_controversy

Söyleşiler
Martin Hairer, Tom Rocks Maths: https://www.youtube.com/watch?v=G8HMa_tgM34
Luis Martínez-Zoroa, RTVE: https://www.youtube.com/watch?v=9rnLn98yC38
Javier Gómez-Serrano, Harvard CMSA: https://www.youtube.com/watch?v=TcEefrWrddA
Noam Brown, Dwarkesh Podcast: https://www.youtube.com/watch?v=6AgOfiZOWiY

Erdős'ün birim mesafe sorusu
Erdős problemi 90: https://www.erdosproblems.com/90
OpenAI duyurusu: https://openai.com/index/model-disproves-discrete-geometry-conjecture/
Karşı örnek: https://cdn.openai.com/pdf/74c24085-19b0-4534-9c90-465b8e29ad73/unit-distance-proof.pdf
Matematikçilerin yorumları: https://cdn.openai.com/pdf/74c24085-19b0-4534-9c90-465b8e29ad73/unit-distance-remarks.pdf
Timothy Gowers: https://arxiv.org/abs/2605.20695
Understanding AI: https://www.understandingai.org/p/openais-milestone-math-breakthrough
Melanie Matchett Wood, Academia on the Line: https://www.youtube.com/watch?v=T_K7F7PfRNo
Lijie Chen, Berkeley RDI: https://www.youtube.com/watch?v=APMWvZHDCgI
TechCrunch, 2025'teki 10 Erdős sorusu: https://techcrunch.com/2025/10/19/openais-embarrassing-math/

Fıkra, sokak lambası ve Amerika
Sokak lambası etkisi: https://en.wikipedia.org/wiki/Streetlight_effect
Library of Congress, Amerika'nın adı: https://www.loc.gov/collections/discovery-and-exploration/articles-and-essays/recognizing-and-naming-america/

Kanalda
Yaşayan en ilginç matematikçiye ne oldu? https://www.youtube.com/watch?v=d9xJc2Dc_1s
Matematiğin Mozart'ı aramızda yaşıyor: https://www.youtube.com/watch?v=lBZcUlD08B0
ChatGPT'ye Anlattıklarını Bir İnsan Okuyor: https://www.youtube.com/watch?v=zbUurdDEPqM

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MÜZİK ve SES EFEKTLERİ:
https://share.epidemicsound.com/h04xit

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TAM METİN VE TÜM KAYNAKLAR:
https://barisozcan.com Receive SMS online on sms24.me

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