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F gggggggggggggggggggggggggg

   09.12.2018  1 Comments

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On the one hand, there is Voevodsky's subtle and beautiful univalence axiom. Fuccillo charters cruise ship for customers' 5-day Bahamas trip and other sales gimmicks see story Posted by.

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On the other hand, we have higher inductive types, which provide direct, logical descriptions of some of the basic spaces and constructions of homotopy theory: The univalence axiom implies, in particular, that isomorphic structures can be identified, a principle that mathematicians have been happily using on workdays, despite its incompatibility with the "official" doctrines of conventional foundations. 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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