Re: Rational numbers, irrational numbers: each dense in real numbers

In article <1190143281.701445.175280@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Ross A. Finlayson" <raf@xxxxxxxxxxxxxxx> wrote:

In ZFC, with standard definitions of the real, rational, and
irrational numbers, let p_i be an irrational number between zero and
one for i from a suitably large well-ordered index set X.

I very much doubt that Ross can exhibit such an X explicitly.

With the
well-ordering of the index set, let the i'th element p_{i+1}

How is it that the ith element is not p_i??

[Remaining nonsense snipped]
.

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