Sujet : Re: how
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 13. Apr 2024, 13:59:59
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <uvdvkf$vnmq$1@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 4/13/24 8:23 AM, WM wrote:
Le 12/04/2024 à 18:58, Richard Damon a écrit :
No, "Set Theory" doesn't talk about "differences" based on the values of the elements, because that is outside of the domain of Set Theory.
Learn about ordered sets and well-ordered sets. For a start look here https://en.wikipedia.org/wiki/Partially_ordered_set.
Regrads, WM
Which is MATH THEORY, not SET THEORY (which is a SPECIFIC subset of math, DIFFERENT than Order theory).
Read the first words of that reference: In mathematics, especially order theory.
The "Set Theory" part of Mathematics doesn't deal with the values, other than "equality". Sets themselves are UNORDERED. Other parts of Mathematics (like Order Theory) adds concept of "order" to the ELEMENTS of the Sets.
And again, it compares SET to SET, not SET to Number.
And "Order Theory" doesn't define "Distance" either, only ordering.
Do the elements of the set have an ordering relationship? And is it strict.
Re: Contradiction of bijections as a measure for infinite sets
Re: how