Re: Cantor's definition of set



On Oct 27, 10:27?am, G. Frege <nomail@invalid> wrote:
On Sat, 27 Oct 2007 00:15:14 +0200, G. Frege <nomail@invalid> wrote:

A typo.



A sequence and a collection are mutually exclusive I would have
thought - a collection is indifferent to order.

Yes, one might think so, agree. But this thought is _provable_ wrong.
~~

For a starter you might google for the term "ordered pair". (Yes, we can
define a so called /ordered pair/ in set theory.)

See:http://en.wikipedia.org/wiki/Ordered_pairhttp://planetmath.org/encyclopedia/OrderedPair.html

F.

--

E-mail: info<at>simple-line<dot>de

What dictates the 'order' in an ordered pair? The way it is written
down? An ordered pair is ordered by a function. It is not ordered by
the set.

.