Set Theory and Logic

    

Set Theoretic Proof ~~X ≠ X

Authors: Salvatore Gerard Micheal

We prove that ~~X ≠ X where ~ = "not" in a logical/set-theoretic context (ALL mathematics and logic), X represents ANY logical statement equivalent to a set of associated facts (which many times is countably infinite or more), ~X, read "not X", represents the logical / set-theoretic complement of X, which is comprised of the complementary set of associated facts with respect to X. We give a proof by contradiction and the solitary exception to the rule regarding phi, the null/empty set.

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[v1] 2021-07-03 21:19:46

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