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Mathematics, 11.12.2021 02:40 anastasiakonni1

Let A be some (non-empty) set, and let x be a member of A. Consider the following definitions of alleged sets B and C: - B is the set of members of A that are not members of C.
- C is the set of members of A that are members of B.
(a) Show that a contradiction arises if x is a member of B.
(b) Show that a contradiction arises if x is not a member of B.

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