Re: abundance of irrationals!)

W. Mueckenheim wrote:
> Matt Gutting <tchrmatt@xxxxxxxxx> wrote in message
news:<1113407805.35ff7c5732969e553e78fdf11ff07f5b@teranews>...
>
> Correct. But could you explain the difference between "all n are
> included in at least one of the sums" and "at least one of the sums
> includes ALL n". I can't see any.

Nice of you to encapsulate your error like this - I suspect that at
least 98% of the Cantor-was-wrong nonsense that permeates sci.math
comes down to the same simple error: an inability to understand why
swapping quantifiers matters.

Can you see any difference between the following statements:

a. Everyone has at least one mother
b. There is a mother somewhere whose children include everyone
(including herself, I suppose)

Brian Chandler
http://imaginatorium.org

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