Re: Obections to Cantor's Theory (Wikipedia article)



Han de Bruijn,

My message here is hardly as monumental as that given in Russell's
letter to Frege, but at

http://huizen.dto.tudelft.nl/deBruijn/grondig/science.htm#cm

you stated that it is clear that the theory you propose is consistent
with what you call the "finitistic part of ZFC". Not only is that not
clear; it is incorrect. Your own axiom along with just basic Z set
theory allows the following two formulas as theorems:

Ex x e 0

~ Ex x e 0

where '0' stands for the empty set.

MoeBlee

.



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