Re: infinity

sci.math_20050118_f:
Now to go back to the previous post, about the discussion of the
well-ordering of the unit interval by its normal, total ordering in as
necessary a non-standard model of the real numbers: if the infinite
sequence (0, iota, ...) represents the least two elements of the
non-negative reals, and each successive real in its normal ordering,
then the non-negative reals are well-ordered by their normal ordering.


sci.math_20050119:
Math is non-secular. If we talk about the infinite, it is not the
domain of any one group, but everybody, in particular mathematicians.

sci.math_20050119_b:
An obvious problem with that is that in the normal ordering if you did
select any finite integer n then there would be infinitely many values
of the sequence preceeding it, where the sequence is not to be doubly
infinite, that being an opposite of semi-infinite.

.

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