Re: Relation between sets and their elements
- From: "Paul Holbach" <paulholbachSPAMBAN@xxxxxxxxxx>
- Date: 24 Apr 2005 20:43:57 -0700
> G. Frege wrote:
> One certainly might claim that a set is "determined" by it's
> members. (Principle of extensionality.)
"A set is a unity of which its elements are the constituents." (Gödel)
In this sense the Fs constitute the set of Fs.
In other words, the set of Fs as a whole is composed of the Fs, which
are its parts.
But how can concrete material things such as dogs constitute an
abstract immaterial thing such as a set?
What is more, if all parts of a whole cease to exist, the whole ceases
to exist too.
So how could the set of dinosaurs as a whole "survive" the total
extinction of its parts, the dinosaurs?
#PH
.
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