Re: Questioning the defintions of set and element.
- From: amy666 <tommy1729@xxxxxxxxxxx>
- Date: Thu, 01 May 2008 18:23:47 EDT
Hi, most definitions of element and set I have come
across, say something
like,
An element is any object of our perception or of our
thought.
A set is a collection of unique elements.
So whats a collection?
Wolfram says it's a multiset.
Wiki says it's a multiset.
So whats a multiset?
Wolfram says it's a set-like object.
Wiki says it's a generalization of a set.
This basically gives the following definitions.
A multiset is a collection of elements
A set is a multiset of unique elements.
So whats a collection?
Would this be a good definition of colletion,
A collection is any elements which have something in
common.
Or could someone give a better definition?
in TST (tommy1729 set theory)
x = [x]
this avoids such problems.
regards
.
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