Re: Cantor

I don't think you understood. The difficulty here is that Cantor did
not say that for any list of Reals we can find one not on the list.
That property is also true of the integers.

Cantor postulated the *complete* list of reals. We have to imagine
that we have completely listed all reals. Now we use this complete
list to produce something not on the list.

It is absolutely necessary to postulate the reals in their entirety.
Have a look around at the arguments surrounding 'potential' and
'actual' infinities. This should clarify the argument.

.

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