Re: Why? [was Re: Cantor`s powerset theorem is false?]
- From: Patricia Shanahan <pats@xxxxxxx>
- Date: Sun, 04 Jun 2006 00:31:13 GMT
david petry wrote:
William of Ockham wrote:david petry wrote:And I'd want to know what your motivation in thisIt's not a silly argument. You have made a very sweeping claim (namely
silly argument is.
that only verifiable statements are meaningful).
That's exactly wrong. I'm claiming that only falsifiable statements
are meaningful (from a scientific point of view). Evidently you have
understood almost nothing of what I have been saying.
But why should a scientific point of view apply to mathematics? They are
entirely different subjects, with different objectives.
Incidentally, even if your point of view were relevant to mathematics,
it would not cause the result you seem to want. Cantor's power set
theorem is clearly falsifiable. All it takes is a pair of sets S and P,
with a function f:S->P, such that P is the power set of S and f is a
bijection.
Patricia
.
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