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Mathématiser le hasard : une histoire du calcul des probabilités
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ISBN: 9782711740369 2711740366 Year: 2008 Publisher: Paris: Vuibert,

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Homotopy type theory : univalent foundations of mathematics
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Year: 2013 Publisher: [Princeton (N. J.)] : The Univalent foundations program,

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"Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory. It touches on topics as seemingly distant as the homotopy groups of spheres, the algorithms for type checking, and the definition of weak ∞-groupoids. Homotopy type theory offers a new “univalent” foundation of mathematics, in which a central role is played by Voevodsky’s univalence axiom and higher inductive types. The present book is intended as a first systematic exposition of the basics of univalent foundations, and a collection of examples of this new style of reasoning — but without requiring the reader to know or learn any formal logic, or to use any computer proof assistant. We believe that univalent foundations will eventually become a viable alternative to set theory as the “implicit foundation” for the unformalized mathematics done by most mathematicians."


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An introduction to confirmation theory
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ISBN: 0416669700 9780416669701 Year: 1973 Publisher: London: Methuen,

Non-additive exact functors and tensor induction for Mackey functors
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ISSN: 00659266 ISBN: 0821819518 Year: 2000 Publisher: Providence, R.I.

Proceedings
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ISBN: 0720422760 9780080954899 0080954898 1283525739 9781283525732 9786613838186 6613838187 044410545X 9780444105455 0720422000 9780720422764 0444104925 0720422779 0444105379 0720422809 9786613838179 1283525720 0080954871 9780720422771 9780720422801 9780720422009 0720422795 0720422825 0720422817 0720422833 9780720422832 0444106790 9780444106797 9780720422818 Year: 1975 Volume: v. 81 Publisher: [Place of publication not identified] Elsevier

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Provability, Computability and Reflection

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