Re: Cantor Confusion

mueckenh@xxxxxxxxxxxxxxxxx wrote:
William Hughes schrieb:

It is not true that a set cannot exist unless it has a maximum element.

It is true, at least if all of its elements do exist.

The set of natural numbers does not have a maximum element, so what you
just wrote is clearly false. Want to try again?

But in order to force you to understand that simple truth,

Calling something a "simple truth" does not make it more believable,
especially when it is so easy to give an example to show that it is
false.

consider the bijection between lines and columns.

So, you define a bijection that maps line n to column n. This is a
bijection of N to itself.

All lines do exist, all columns do not exist.

It is quite silly for you to say "all columns do not exist". Which
column do you say doesn't exist?

--
David Marcus
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