2. Let D be an infinite set with cardinal number d. Prove that d is the number of finite subsets of D. (Hint: Observe th
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- 2 Let D Be An Infinite Set With Cardinal Number D Prove That D Is The Number Of Finite Subsets Of D Hint Observe Th 1 (109.61 KiB) Viewed 23 times
2. Let D be an infinite set with cardinal number d. Prove that d is the number of finite subsets of D. (Hint: Observe that there is a natural map of the Cartesian product of D with itself n times onto the subsets of D with n or fewer elements. Use the preceding exercise and then Exercise 1 in Section 2.5.) Exercise 1 Section 2.5 1. Let {i}, i = 1, 2, ..., be a countable infinity of infinite sets all having the sanie cardinal nuniber d. Prove that UA; has cardinal number d.