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01-21-2006, 05:09 PM
Quote:
Originally Posted by harmonygirl
Sub,
I don't agree that a set would contain a zeroth element which is itself. When you define a set in this way, it defeats the question about whether a set can contain itself. I don't think that the set of all apples contains as a zeroth element the notion of the set of all apples. In my definition of the set of all apples, it ONLY contains all apples.
and all apples is itself, therefore it contains itself. Oh, and BTW defeating the question about whether a set can contain itself is the whole point. That's what you call the absolution of the paradox.
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