Re: A consideration concerning the diagonal argument of G. Cantor
Frege wrote:
A "potentially infinite set" is a contradiction in
terms in any decent
set theory.
And even from the viewpoint of common sense. Either a
certain set is
(actually) infinite or not, hence finite. Tertium non
datur.
Infinite, finite, empty.
Actually not in that order.
Julio
.
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... but logic and set theory do not clash. ... Set theory and intuition about infinite sets ... We are left with intuition. ... It's common sense that you can't put more ...
(sci.math) - Re: Cantor Confusion
... but logic and set theory do not clash. ... Set theory and intuition about infinite sets ... We are left with intuition. ... It's common sense that you can't put more ...
(sci.math) |
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