Talk:Set (mathematics): Difference between revisions
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imported>Howard C. Berkowitz (→Paradoxes, ordered sets: new section) |
imported>Jitse Niesen (→Paradoxes, ordered sets: reply) |
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[[User:Howard C. Berkowitz|Howard C. Berkowitz]] 11:06, 28 July 2008 (CDT) | [[User:Howard C. Berkowitz|Howard C. Berkowitz]] 11:06, 28 July 2008 (CDT) | ||
:I wouldn't say it's described in an axiomatic way, because no axioms are mentioned. The text only hints that sets in mathematics are described axiomatically. The axioms that are used nowadays (usually ZFC) avoid Russell's paradox, but these axioms are rather complicated to explain; see http://eom.springer.de/Z/z130100.htm . | |||
:I'm not quite sure what you mean by "ordered set", but I guess it would be usually be called "[[sequence]]" or "tuple" by mathematicians. The concept of an ordering is not mentioned in the article, but it should be. At least there should be a link to sequence or tuple. -- [[User:Jitse Niesen|Jitse Niesen]] 11:04, 29 July 2008 (CDT) | |||
Revision as of 10:04, 29 July 2008
Paradoxes, ordered sets
In the beginning, a set is described in an axiomatic way, without a rigorous definition. Have you thought about text that avoids Russell's Paradox? http://plato.stanford.edu/entries/russell-paradox/
I came to the article because I wanted to link to "ordered set". Is that one of the special sets here, should there be a section for it, or should there be a new article? For that matter, should this refer to or define tuples?
Howard C. Berkowitz 11:06, 28 July 2008 (CDT)
- I wouldn't say it's described in an axiomatic way, because no axioms are mentioned. The text only hints that sets in mathematics are described axiomatically. The axioms that are used nowadays (usually ZFC) avoid Russell's paradox, but these axioms are rather complicated to explain; see http://eom.springer.de/Z/z130100.htm .
- I'm not quite sure what you mean by "ordered set", but I guess it would be usually be called "sequence" or "tuple" by mathematicians. The concept of an ordering is not mentioned in the article, but it should be. At least there should be a link to sequence or tuple. -- Jitse Niesen 11:04, 29 July 2008 (CDT)