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Topic: § 433 The reason for calling matheology matheology
Replies: 24   Last Post: Feb 22, 2014 5:23 PM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: § 433 The reason for calling matheology matheol
ogy

Posted: Feb 20, 2014 2:51 PM

On Thursday, 20 February 2014 20:30:03 UTC+1, John Gabriel wrote:
> On Thursday, February 20, 2014 9:09:31 PM UTC+2, muec...@rz.fh-augsburg.de wrote:
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> > On Thursday, 20 February 2014 18:39:28 UTC+1, fom wrote:
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> > > To the chagrin of many, including yourself,
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> > > Cantor argues successfully for a metaphyical
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> > > existence of limits as numbers and for a
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> > > transfinite arithmetic.
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> > Cantor's diagonal argument works exclusively in the domain of terminating sequences which he himself as proven to be countable. Therefore the notion of uncountability, as far as it is based on this argument (the others can be disproven too), is far from being successful (although he has dazzled many mathematicians) but is simply self-contradictory.
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> > Regards, WM
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> Endlichen Sequenzen? Ich habe noch nie gehört, dass vor. Können Sie mir sagen, wo dies geschrieben? Ich war immer unter dem Eindruck, das Gegenteil ist wahr, das heißt, ohne Abschneiden Sequenzen.

It is eyewash. The antidiagonal digit b_n is constructed by changing the n-th digit a_nn of the n-th number a_n. The remaining digits of the number a_n, namely a_nm for m > n, are completely irrelevant for the construction of the antidiagonal.

Regards, WM