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Implement editing collection settings and deleting collections (#37658) · mastodon/mastodon@6f53b0b

Your self-hosted, globally interconnected microblogging community - Implement editing collection settings and deleting collections (#37658) · mastodon/mastodon@6f53b0b

github.com · GitHub

Thinking Machines: Mathematical Reasoning in the Age of LLMs

Large Language Models (LLMs) have shown remarkable abilities in structured reasoning and symbolic tasks, with coding emerging as a particular area of strength. This success has sparked growing interest in applying LLMs to mathematics, both in informal problem-solving and formal theorem proving. However, progress in formal mathematics has proven to be significantly more difficult, despite surface-level similarities between programming and proof construction. This discrepancy raises important questions about how LLMs ``reason'', how they are supervised, and whether they internally track a notion of computational or deductive state. In this article, we address the state-of-the-art of the discipline, focusing on recent models and benchmarks, and explore three central issues at the intersection of machine learning and mathematical cognition: (i) the trade-offs between formal and informal mathematics as training domains; (ii) the deeper reasons why proof generation remains more brittle than code synthesis; (iii) and the question of whether LLMs represent, or merely mimic, a notion of evolving logical state. Our goal is not to draw hard boundaries, but to identify where the current limits lie, and how they might be extended.

arxiv.org · arXiv.org

Vitamin D & Omega-3 have a larger effect on depression than antidepressants

An accessible deep dive into the science (⏱️ 28 min read)

blog.ncase.me

내일 로저스 쿠팡 대표 소환…증거인멸 집중 조사

[앵커]지난 21일 국내에 입국한 해롤드 로저스 쿠팡 임시대표가 내일(30일) 오후 2시 경찰에 출석할 걸로 보입니다.경찰은 개인정보 유출 관련 쿠팡의 자체조사 과정에서 증거인멸

www.yonhapnewstv.co.kr · 연합뉴스TV

Swap Distance

Swap Distance in the Archive of Formal Proofs

isa-afp.org

LeanTutor: Towards a Verified AI Mathematical Proof Tutor

This paper considers the development of an AI-based provably-correct mathematical proof tutor. While Large Language Models (LLMs) allow seamless communication in natural language, they are error prone. Theorem provers such as Lean allow for provable-correctness, but these are hard for students to learn. We present a proof-of-concept system (LeanTutor) by combining the complementary strengths of LLMs and theorem provers. LeanTutor is composed of three modules: (i) an autoformalizer/proof-checker, (ii) a next-step generator, and (iii) a natural language feedback generator. To evaluate the system, we introduce PeanoBench, a dataset of 371 Peano Arithmetic proofs in human-written natural language and formal language, derived from the Natural Numbers Game.

arxiv.org · arXiv.org

Formalising the Bruhat-Tits Tree

In this article we describe the formalisation of the Bruhat-Tits tree - an important tool in modern number theory - in the Lean Theorem Prover. Motivated by the goal of connecting to ongoing research, we apply our formalisation to verify a result about harmonic cochains on the tree.

arxiv.org · arXiv.org

Pocket Mars! Terraformation de poche!

Coucou mes p’tites patates martiennes! Aaah oui, des jeux sur Mars, il y en a en effet deux ou trois de disponibles, avec les cadors du genre, comme Terraforming Mars, un excellent jeu il est…

patatedestenebres.wordpress.com · Patate des Ténèbres

Pocket Mars! Terraformation de poche!

Coucou mes p’tites patates martiennes! Aaah oui, des jeux sur Mars, il y en a en effet deux ou trois de disponibles, avec les cadors du genre, comme Terraforming Mars, un excellent jeu il est…

patatedestenebres.wordpress.com · Patate des Ténèbres

계약 빙자한 성인방송 성착취, 가해자 처벌 조항 없어 사각지대

( ☞한겨레 뉴스레터 H:730 구독하기. 검색창에 ‘한겨레 h730’을 쳐보세요.) 김리원(36)씨는 2016년 아르바이트 구직 누리집에서 ‘비제이(BJ·인터넷방송 진행자)’ 모집 공고를 보게 됐다. 입담이 좋다는 소리를 들었던 김씨에겐 대학 학비와 생활비를 벌 기회

www.hani.co.kr · 한겨레

1살 미만 아기는 두 엄지로 심폐소생…5년 만에 지침 변경

1살 미만 아기는 양 손으로 감싸안고 두 엄지로 압박하는 방식으로 심폐소생술을 시행해야 하는 등 5년 만에 국내 심폐소생술 지침이 바뀌었다. 질병관리청과 대한심폐소생협회는 29일 ‘2025년 한국 심폐소생술 가이드라인’을 발표했다. 국내 심폐소생술 지침은 2006년 처

www.hani.co.kr · 한겨레