FOM: Iterative conception of set: comment on Silver

Moshe' Machover moshe.machover at kcl.ac.uk
Wed Jan 21 20:12:42 EST 1998


Silver mentions attempts by Boolos and Shoenfield (to which must be added
Kreisel and others--all foreshadowed by Zermelo's 1930 paper) to justify
the axioms of ZF by the iterative conception of sets.

This justifiaction is not very convincing for the replacement axiom. At
least, I for one have never been convinced by it. If I am not mistaken,
Boolos also admits as much in a paper published 1989(?).

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