Re: Is continuum completely filled up?

In article <45a18eed@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:


Von Neumann's folly!

Those who are incapable of understanding their betters, try to malign
them.


I actually think the H-riffics may be a well ordering of the reals after
all...

What TO thinks and what mathematics shows rarely make contact.

First of all, you tell me whether there is at all an infinite set. And
if such one exists, are we elligible to talk about its properties?

No "pure" infinite set. There is always order where infinitude's implied.

False! One does not need an order relation to imply infiniteness of a
set.

The successor operation, which is enough to imply an infinite set, is
not actually an order relation, though it it commonly used to generate
one.
.