Reasoning With Limited Resources And Assigning Probabilities to Arithmetical Statements
https://www.amazon.com/World-Mathematics-Four--Set/dp/0486432688/
https://www.lesswrong.com/posts/q79vYjHAE9KHcAjSs/rationalist-fiction#pqHEg8gKZ5B8mLdQL
Probing the Improbable: Methodological Challenges for Risks with Low Probabilities and High Stakes
Too good to be true: when overwhelming evidence fails to convince
https://www.amazon.com/Organic-Psychiatry-Psychological-Consequences-Cerebral/dp/0865428204/
Widely Accepted Mathematical Results That Were Later Shown to Be Wrong
https://rjlipton.com/2009/09/27/surprises-in-mathematics-and-theory/
Widely Accepted Mathematical Results That Were Later Shown to Be Wrong?
https://www.amazon.com/Honors-Class-Hilberts-Problems-Solvers/dp/1568812167/
Computational Knowledge and the Future of Pure Mathematics
https://maa.org/sites/default/files/pdf/upload_library/22/Chauvenet/Saari.pdf
Homotopy groups of suspended classifying spaces: An experimental approach
https://web.archive.org/web/20170419194138/https://www.princeton.edu/mudd/finding_aids/mathoral/pmcxrota.htm
1996-04-20-rota-tenlessonsiwishihadbeentaught.html#mistakes
This Page Collects Links around Papers That Try to Settle the ‘P versus NP’ Question (in Either Way).
Widely Accepted Mathematical Results That Were Later Shown to Be Wrong?
Comment on a Paper by Yucai Su On the Jacobian Conjecture (2005-12-30)
https://digital.lib.washington.edu/server/api/core/bitstreams/995f5bb9-3b6a-472f-9cc7-8252ad7992be/content
https://www.amazon.com/Best-Writing-Mathematics-2010/dp/0691148414/
https://www.amazon.com/Mathematicians-Enquirers-Learning-Mathematics-Education/dp/1402078595/
Mastering Chess and Shogi by Self-Play with a General Reinforcement Learning Algorithm
https://rjlipton.com/2010/06/19/guessing-the-truth/#comment-3711
On the distribution of time-to-proof of mathematical conjectures
Does incubation enhance problem solving? A meta-analytic review
https://www.amazon.com/Fascinating-Mathematical-People-Interviews-Memoirs/dp/0691148295
https://www.amazon.com/Turings-Cathedral-Origins-Digital-Universe/dp/1400075998/
An Essay On The Psychology Of Invention In The Mathematical Field
The Misfortunes of a Trio of Mathematicians Using Computer Algebra Systems—Can We Trust in Them?
An Empirical Study on the Correctness of Formally Verified Distributed Systems
Mathematicians Solve 45-Year-Old Kervaire Invariant Puzzle
https://www2.math.upenn.edu/~kazdan/proof/notes/parallel-postulateGrabiner2009.pdf
https://math.dartmouth.edu/~matc/MathDrama/reading/Hamming.html
https://www.sciencemadness.org/lanl1_a/lib-www/la-pubs/00329010.pdf
https://terrytao.wordpress.com/career-advice/theres-more-to-mathematics-than-rigour-and-proofs/
Mathematical Proofs Improve But Don't Guarantee Security, Safety, and Friendliness
The Probabilistic Heuristic Justification of the ABC Conjecture
https://rjlipton.com/2014/03/15/could-we-have-felt-evidence-for-sdp-p/
Have Any Long-Suspected Irrational Numbers Turned out to Be Rational?
Soft Question - Examples of Falsified (or Currently Open) Long-Standing Conjectures Leading to Large Bodies of Incorrect Results
What Mistakes Did the Italian Algebraic Geometers Actually Make?
Soft Question - Why Doesn't Mathematics Collapse Even Though Humans Quite Often Make Mistakes in Their Proofs?
Cosmic Rays: What Is the Probability They Will Affect a Program?
When You Start Talking about Numbers As Small As 2−122, You Have to Start Looking More Closely at the Things You Thought Were Zero
Best Practices: Formal Proofs, the Fine Print and Side Effects
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.300.2572&rep=rep1&type=pdf
2017.07.23: Fast-Key-Erasure Random-Number Generators An Effort to Clean up Several Messes Simultaneously. #rng #forwardsecrecy #urandom #cascade #hmac #rekeying #proofs
Soft Question - Proofs Shown to Be Wrong After Formalization With Proof Assistant
Bloom Filters Debunked: Dispelling 30 Years of Bad Math With Coq!
https://www.quantamagazine.org/how-close-are-computers-to-automating-mathematical-reasoning-20200827/
When Extrapolation Fails Us: Incorrect Mathematical Conjectures
https://www.quantamagazine.org/new-math-book-rescues-landmark-topology-proof-20210909/
https://www.quantamagazine.org/the-quest-to-decode-the-mandelbrot-set-maths-famed-fractal-20240126/
The 3-Page Paper That Shook Philosophy: Gettiers in Software Engineering