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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 ,