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The Origins and Motivations of Univalent Foundations

In January 1984, Alexander Grothendieck submitted to the French National Centre for Scientific Research his proposal “Esquisse d’un Programme.” Soon copies of this text started circulating among mathematicians. A few months later, as a first-year undergraduate at Moscow University, I was given a copy of it by George Shabat, my first scientific adviser. After learning some French with the sole purpose of being able to read this text, I started to work on some of the ideas outlined there.

Quanta Magazine

The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics—Stephen Wolfram Writings

Results from samplings of the unique ruliad structure that corresponds to the entangled limit of all possible computations. General physicalized laws of mathematics are discussed, associated with concepts such as metamathematical motion, inevitable dualities, proof topology and metamathematical singularities.

Infinity Category Theory Offers a Bird s-Eye View of Mathematics

Infinity Category Theory Offers a Bird s-Eye View of Mathematics
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Infinity Category Theory Offers a Bird s-Eye View of Mathematics

Infinity Category Theory Offers a Bird s-Eye View of Mathematics
scientificamerican.com - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from scientificamerican.com Daily Mail and Mail on Sunday newspapers.

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