https://www.conservapedia.com/api.php?action=feedcontributions&feedformat=atom&user=Mana 2026-10-20T21:32:38Z User contributions MediaWiki 1.35.14 https://www.conservapedia.com/index.php?title=Talk:Set&diff=774488 2010-05-02T05:20:48Z

<p>Mana: /* Removal */ new section</p> <hr /> <div>Ed, there's no mistake in the article. {1,2,2} represents the same set as {1,2} because in sets repetitions are ignored. However, if these were multisets instead, then they would be different multisets because for multisets repetitions ''do'' matter. I'll use MathWorld as a [http://mathworld.wolfram.com/Set.html source]: &quot;A set is a finite or infinite collection of objects in which order has no significance, and multiplicity is generally also ignored (unlike a list or multiset)&quot;. I think what might be causing confusion is the idea of enumerating a set, which is when you write out all the elements of a set with no repetitions. But generally you're free to write as many repetitions as you want, they don't change the actual set you're dealing with.<br /> <br /> This edit should be reverted, but I agree it's useful to mention multisets at some point - preferably before the Russell's Paradox paragraph. -[[User:Foxtrot|Foxtrot]] 14:07, 31 August 2008 (EDT)<br /> <br /> == Removal ==<br /> <br /> I removed the application that was placed in there. It was a tangent and did not belong in that section of the wiki. It should be placed in a far more appropriate place.</div>

Mana https://www.conservapedia.com/index.php?title=Set&diff=774487 2010-05-02T05:19:12Z

<p>Mana: </p> <hr /> <div>A '''set''' is a collection of objects. Sets are the subject of [[set theory]]. Two sets are the same if they contain the same elements, regardless of the order they are in. Sets are written in set notation, such as {1,2} indicating the set containing the elements 1 and 2. This is the same as the set {2, 1} because order does not matter when comparing sets.<br /> <br /> Also, repetition of elements is irrelevant, so the set {1, 2, 2} is the same as the set {1, 2}.<br /> <br /> An important concept in set theory is [[cardinality]]. In the case of finite sets, this is simply the number of elements of the set. So {1, 2} has a cardinality of 2. However, the theory is more complicated in the case of infinite sets. <br /> <br /> It was thought that an informal concept of sets ([[Naive set theory]]) was sufficient, however [[Russell's Paradox]] shows that this can lead to a contradiction if sets are allowed to contain themselves. Modern set theory is more formal, and disallows such paradoxical sets.<br /> <br /> ==See also==<br /> *[[union (set theory)]]<br /> *[[intersection]]<br /> *[[multiset]]<br /> <br /> [[Category:Mathematics]]</div>

Mana