Re: Cantor Confusion
- From: "MoeBlee" <jazzmobe@xxxxxxxxxxx>
- Date: 7 Dec 2006 11:49:21 -0800
mueckenh@xxxxxxxxxxxxxxxxx wrote:
William Hughes schrieb:
mueckenh@xxxxxxxxxxxxxxxxx wrote:
Please clarify a point of nomenclature.
Do you consider a potentially infinite
set containing only finite elements
(e.g. the natural numbers) to be:
1. a set ?
2. a finite set?
It is neither an actually infinite set nor is it a set in the sense of
set theory.
I call it a set, because "set" is a handsome word. I call it an infinte
set, because it is not a finite set. But if I talk to you about that,
you cannot understand, because you can only think in the notions of set
theory.
No, you can't talk about it because you don't HAVE a theory. If you had
a theory that were not set theory, then that in itself would not
prohibit people who understand set theory from also understanding your
theory. But you dont' have a theory, so the whole matter is nugatory
anyway.
MoeBlee
.
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