Relating first-order set theories, toposes and categories of classes
نویسندگان
چکیده
Article history: Received 22 December 2010 Received in revised form 12 December 2012 Accepted 12 May 2013 Available online 8 July 2013 MSC: 03E70 03F50 03G30 18B05
منابع مشابه
Relating First-order Set Theories and Elementary Toposes
We show how to interpret the language of first-order set theory in an elementary topos endowed with, as extra structure, a directed structural system of inclusions (dssi). As our main result, we obtain a complete axiomatization of the intuitionistic set theory validated by all such interpretations. Since every elementary topos is equivalent to one carrying a dssi, we thus obtain a first-order s...
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عنوان ژورنال:
- Ann. Pure Appl. Logic
دوره 165 شماره
صفحات -
تاریخ انتشار 2014