January 2011
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Russell's Paradox
What we mean by a set is a collection of things satisfying some criterion. In this regard, consider the set of all animals. Obviously this set is not an animal and therefore is not contained within itself. On the other hand, consider the complementary set consisting of all things that are not animals. In this case this set does contain itself since a set is not an animal. Define another set,...
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The sentence below is false. The sentence above is true.