Talk:Infinite set

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[edit] Definition

I am curious why "a set with infinitely many elements" was considered a non-definition. --Fell Collar 16:51, 9 April 2006 (UTC)

Because it is circular, i.e. you are defining "infinite" in terms of "infinite". An infinite number is simply the cardinality of an infinte set. We MUST define it for sets first, not for numbers first, because numbers are a derivative concept relative to sets. If you go to the article on finite sets, you will see that it contains real definitions of finite for sets. JRSpriggs 04:36, 10 April 2006 (UTC)
Okay, that makes sense. Thanks very much. --Fell Collar 20:01, 11 April 2006 (UTC)
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