Re: Cantor's definition of set

On Oct 29, 5:46?pm, MoeBlee <jazzm...@xxxxxxxxxxx> wrote:
On Oct 27, 4:26 pm, John Jones <jonescard...@xxxxxxx> wrote:

You said,

Every thing is unique by virtue of being, by virtue of being a thing.

Good stuff. Of course, all things exist by their own efforts. We only
have to mention them and they can be in a set. But is this true? Can
you give me a list of things that cannot be in a set.

In an ordinary set theory in which we prove that every object is a
set, there is no object that is not a member of a set. In an ordinary
theory in which there are objects that are not sets, there are objects
that are not members of any set. For example, in Bernays class theory,
V = {x | x is a set} is not a member of any set.

MoeBlee

Your last paragraph was not clear. You imply that set membership is
optional but that everything is a member of a set.You will have to say
what V is, because a formal interpretation only suggests objects, even
when it uses {x | x is a set} .

And should it rather be said that 'there is no object that could not
be a member of a set'?

.

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