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Topic: Induction is Wrong
Replies: 8   Last Post: Nov 30, 2012 5:55 PM

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Brian Q. Hutchings

Posts: 6,427
Registered: 12/6/04
Re: Induction is Wrong
Posted: Nov 30, 2012 4:19 PM
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yes, left us to interpret "number" as "naturals."

I didn't know that the 4-tetragon [*] theorem did not apply
to negative integers, though, although I wouldn't
have supposed that!

what is the exceptional form of natural,
that is not the sum of three second-powers --
4^n + something, and is there any geometrical model
for those?

* hey; when you mean, second-powering,
then you might say, "second-powering" ...
an old shibb of Are Buckafka Fullofit.

> commutative ring (such as Z) which fails to satisfy the
> 4-squares theorem is a model of GA.

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