Date: Apr 4, 2013 3:37 PM
Subject: Re: Matheology § 224
On 4/4/2013 1:30 PM, WM wrote:
> If the collection is something else than all its elements, then you
> may be right. Show this "else". In fact, an actually infinite set must
> constitute such a thing that cannot be removed when every finite set
> of elements is removed.
Now we have a definition of infinity.
The only set that can satisfy that definition
is the empty set.
Actually what we have is an example of why set
theory is formalized. There are no verbs that
decide the existence of sets according to the
acts of language users.