Virgil
Posts:
4,482
Registered:
1/6/11
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Re: Matheology � 201
Posted:
Jan 27, 2013 2:59 PM
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In article
<a21d19d8-9c45-4fa4-a278-32563df8ede1@4g2000yqv.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> Matheology § 201
>
> Two Commandments of Matheology with Explanations
They become statements of mathematics when properly interpreted.
>
> First Commandment: |N contains not more than all (finite initial
> segments {0, 1, 2, ..., n} of the sequence of) natural numbers.
>
Membership claim: Every member of |N is a member of some finite initial
subset of }N.
>
> Second Commandment: |N contains more than all (finite initial segments
> {0, 1, 2, ..., n} of the sequence of) natural numbers.
Subset claim: |N contains all sorts of non-initial finite segments and
all sorts of subsets that are not segments as all and are not finite at
all.
As usual, WM tries to use ambiguity, in this case the ambiguity of
"contain", which with sets can mean either as a member or as a subset,
to try to make regular mathematics look bad.
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