Re: Cantor Confusion


Virgil schrieb:

In article <1165615065.285043.115990@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

Franziska Neugebauer schrieb:

mueckenh@xxxxxxxxxxxxxxxxx wrote:

Franziska Neugebauer schrieb:
mueckenh@xxxxxxxxxxxxxxxxx wrote:

*** T. Winter schrieb:
> Everybody knows what the number of ther EC states is.
[...]
The number of EC states is "the number of EC states".

This is hardly a definition.

It is simply a notion which can be equal to a natural number.

Which may _evaluate_ to a number.

No. It evaluates to a number as little as 6 evaluates to a number. It
*is* a number, though not a fixed number.

Mathematically one modells such "not-fixed numbers" as functions.
Conclusively this function has value 6 at 1968.

That is a matter of definition of the word "number".

Provide one. Don't forget to provide a definition of "not-fixed" number
and "not-fixed" set. And please show that one gains advantage over the
function concept.

A function is a set of ordered pairs and as such it is not variable.

So sets of ordered pairs cannot be 'variable' but other sets can?

Unfortunately you misunderstood (again):
IF a set cannot be variable, THEN also a function cannot be variable.
It is useless to distinguish between set and function.

Regards, WM

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