Re: Cantor Confusion

On Thu, 16 Nov 2006 01:35:12 -0500, David Marcus
<DavidMarcus@xxxxxxxxxxxxxx> wrote:

Virgil wrote:
In article <1163426009.651510.237050@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:
It is difficult to answer this question, because the expression "set"
is occupied in modern mathematics by collections of elements which are
actually there (you don't know what that means, imagine just a set as
you know it). Such infinite sets do not exist.

While infinite collections in any physical sense are not possible, why
are imaginary infinities, such as sets of numbers must be, unimaginable?

Why are square circles unimaginable?

For that matter, we can always switch from Platonism to formalism and
declare the question of whether sets really exist to be a philosophical
question.

So is the switch from platonism to formalism a philosophical question?

~v~~
.

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