Re: Cantor Confusion

Lester Zick wrote:

On Thu, 7 Dec 2006 03:00:21 -0500, David Marcus
<DavidMarcus@xxxxxxxxxxxxxx> wrote:

If you use ZFC (or something similar) as your foundation for mathematics, then everything is a set. Of course, while solid foundations are good to have, if you are living on an upper floor, you may prefer to ignore what is going on in the basement.

So you're saying that set "theory" is all of mathematics? Of course
since what you say isn't necessarily true that's not exactly a ringing
endorsement of set "theory".

It's quite simple. Set Theory can not be the foundation for mathematics,
because NOT EVERYTHING IS A SET. E.g. a calculation is mathematics, but
it's not a set. Set theory may be of limited use, but it's supremacy is
complete nonsense, and will be overruled in time.

Han de Bruijn

.

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