Re: Cantorian pseudomathematics
- From: Han.deBruijn@xxxxxxxxxxxxxx
- Date: 15 Jan 2006 06:16:12 -0800
Virgil wrote:
>
> if you meaqn that the probability of a randomly selected member of
> {1,2,3,...,n} will match some fixed member of that set, then the
> probability should be 1/n, but that does not apply to countably infinite
> sets.
Yes, that's what I mean. And it _does_ apply to countably infinite
sets,
provided that these sets are potential infinite and not actual
infinite. For
the simple reason that, in constructive mathematics, an infinite set
can
only be reached through (a sequence of) finite sets.
> Those who confuse computer science with mathematics are no more right
> than those who confuse physics with mathematics.
My purpose is not to "confuse" things, rather than to see things from a
viewpoint that _unifies_ mathematics with the other sciences, like i.e.
computer science and physics, indeed, as you say.
Han de Bruijn
.
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