Re: Well Ordering the Reals

In article <MPG.1df655693cbb062698a78a@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow <aeo6@xxxxxxxxxxx> wrote:

> > That's precisely what's being requested of you, as I understand it.
> Yes, and that's why I coined Bigulosity, and the T-riffic numbers (as
> infinite
> naturals and reals). But, "infinite" is a common word, and not owned by set
> theory.

Within set theory, the meaning of 'infinite' is whatever set theorists
as a whole agree that it is. In that context, they DO own it.

TO may not have noticed that mathematicians often use common words in
uncommon ways, rather than inventing entirely new words. This is
possible because these meanings are thos appropriate to the contexts in
which the words appear. This is quite common outside of mathematics,
too, that the meaning of words depends on the context in which they
appear.
.

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