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Re: Matheology § 258
Posted:
May 3, 2013 3:09 PM


WM <mueckenh@rz.fhaugsburg.de> writes:
> No, that is a contradiction. First the set of natural numbers has > cardinality aleph_0. Therefore it is actually infinite. ...
> Second the naturals are used to index the digits of the decimals. For > that sake they are required to be actually infinite.
See your confusion revealed again: the claim is that there is an infinite set.
There is no separate claim that "they" are required to be actually infinite: you're revealing your underlying belief that classical maths involves some mystical infinite natural numbers.
If you want to show the classical position is selfcontradictory, you should do as Russell did, and start from principles accepted by current standard maths, and produce a proof from that.
> > Regards, WM
 Alan Smaill



