Exploring Categorical Structuralism

نویسنده

  • COLIN MCLARTY
چکیده

Some issues for categorical foundations for mathematics are explored.Among them: how categorical foundations assert the existence of their objectsand arrows, and how categorical set theory motivates its own axiom scheme ofreplacement. Two interpretations of ZF into categorical set theory are explicitlycompared. One is homophonic but partial; the other is total and uses membershiptrees.

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تاریخ انتشار 2004