Re: Cantor Confusion

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. Without explicitly or implicitly
providing a context (year) there is no definite answer in terms of
natural numbers. Mathematically the number of EC states can be modelled
as _function_ of time.

The set of prime numbers does not contain the number 1.

According to a widespread defintion of "prime number" the set of prime
numers _refers_ _to_ a set which does not contain the number 1.

But once upon a time it did contain it.

There may have been a time, when _a_ _different_ _set_ (one containing
the 1) was _referred_ _to_ _by_ the named "set of prime numbers".

This does not imply that the set of former times "has changed" in time.
Only the naming has changed due to a changed definition. You may
compare this with Gerhard Schröder who did not undergo a gender
transformation when Angela Merkel became chancellor in 2005.

F. N.
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xyz
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