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arXiv · 1210.1478

Axiomatic Method and Category Theory

Andrei Rodin
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Abstract

Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of heigher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hibert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in Categorical logic opens new possibilities for using this method in physics and other natural sciences.

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Andrei Rodin. 2012-09-25. Axiomatic Method and Category Theory. https://arxiv.org/abs/1210.1478

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