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Unformatted text preview: ( A ) + 1. Problem 3: (2 points) If B is a Fnite set and A B then A is Fnite and Card ( A ) Card ( B ). Hint: Use induction and problem 2. Problem 4: (2 points) If A is a subset of a countable set B , then A is countable. Hint: Use problem 5 . Problem 5: (2 points) So that if D is a denumerable set and f : D A is onto, then there is a g : A D such that g is 1-1. Problem 6: (1 point) (a) (0.5 points) Restate, in your own words, the Axiom of Choice. (b) (0.5 points) Describe, in your own words, Cantors Continuum Hypothesis. 2...
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- Fall '07