[FOM] Why would one prefer ZFC to ZC?

rgheck rgheck at brown.edu
Wed Jan 27 14:42:18 EST 2010

On 01/27/2010 03:19 AM, T.Forster at dpmms.cam.ac.uk wrote:
>> On Jan 27 2010, Jeremy Bem wrote:
>> Why would someone prefer ZFC [over ZC]?
> Because there is so much mathematics that can be done in ZFC but not
> Zermelo.
There is nice a series of papers by Gabriel Uzquiano, deriving from his 
dissertation, that show that what one might have thought were equivalent 
forms of the axiom of infinity come sharply apart in ZC. That has always 
struck me as more of an "internal" reason to be dissatisfied with ZC.

Richard Heck

Richard G Heck Jr
Romeo Elton Professor of Natural Theology
Brown University

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