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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. ....

Steve Awodey , Martin Hofmann , Robert Macpherson , Alexander Grothendieck , Alexander Beilinson , Thierry Coquand , Tom Hales , Jean Yves Girard , Vladimir Voevodsky , George Shabat , Christine Pauline , Spencer Bloch , Andrei Suslin , Eric Friedlander , Michael Kapranov , Mark Spivakovsky , Michael Warren , Vadim Schechtman , Thomas Streicher , Carlos Simpson , French National Centre For Scientific Research , School Of Mathematics , Programme Soon , Moscow University , French National Centre , Scientific Research ,

Quanta Magazine

The Fields medalist Vladimir Voevodsky has died at 51. This 2015 article describes his computer-aided quest to eliminate human error and rewrite the century-old… ....

Vastra Gotalands Lan , France General , Baden Wüberg , Michael Warren , Michael Makkai , Henry Towsner , Michael Shulman , Vladimir Voevodsky , Daniel Grayson , Peter Lumsdaine , Carnegie Mellon , Steve Awodey , Bertrand Russell , Michael Harris , Thierry Coquand , University Of Gothenburg , Moscow State University , Mcgill University , Carnegie Mellon University In Pittsburgh , University Of Illinois At Urbana Champaign , University Of San Diego , University Of Pennsylvania , Columbia University , Institute For Advanced Study , Oberwolfach Research Institute For Mathematics , Advanced Study ,

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. ....

Han I , Republic Of , Tim Gowers , Richard Assar , Maryanthe Malliaris , Elise Cawley , Mario Carneiro , Principia Mathematica , Jonathan Gorard , Mano Namuduri , Nik Murzin , Assaf Peretz , Vladimir Voevodsky , Brad Klee , Xerxes Arsiwalla , Michael Trott , Andrej Bauer , Tom Hales , Hatem Elshatlawy , Dana Scott , Lou Kauffman , James Boyd , Matthew Szudzik , Harvey Friedman , Wolfram Alpha , Kevin Buzzard ,

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.

France General , Muhammad Ibn Musa Al Khwarizmi , Nobuo Yoneda , Jamie Wilkinson , Eugenia Cheng , Matteo Farinella , Michael Atiyah , Samuel Eilenberg , Leonhard Euler , John Horton Conway , Vladimir Voevodsky , Pierre Laurent Wantzel , Isaac Newton , Carl Friedrich Gauss , University Of Chicago , Art Institute Of Chicago , New England , Gottfried Leibniz , Carl Friedrich , Illogical World , Horton Conway , Saunders Mac Lane , Mac Lane , Quick Guide , Modern Math , Art Institute ,

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.

France General , Muhammad Ibn Musa Al Khwarizmi , Nobuo Yoneda , Jamie Wilkinson , Eugenia Cheng , Matteo Farinella , Michael Atiyah , Samuel Eilenberg , Leonhard Euler , John Horton Conway , Vladimir Voevodsky , Pierre Laurent Wantzel , Isaac Newton , Carl Friedrich Gauss , University Of Chicago , Art Institute Of Chicago , New England , Gottfried Leibniz , Carl Friedrich , Illogical World , Horton Conway , Saunders Mac Lane , Mac Lane , Quick Guide , Modern Math , Art Institute ,