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(?).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Moshe' Machover | E-MAIL: moshe.machover at kcl.ac.uk %%
%% Department of Philosophy | FAX (office)*: +44 171 873 2270 %%
%% King's College, London | PHONE (home)*: +44 181 969 5356 %%
%% Strand | %%
%% London WC2R 2LS | * If calling from UK, replace %%
%% England | +44 by 0 %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
More information about the FOM
mailing list