4. Any non-empty set A and its power set P(A) do not have the same cardinality (i.e. there exists no bijection between the two sets). Use this to show that P(Z+) is uncountable.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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4. Any non-empty set A and its power set P(A) do not have the same cardinality (i.e. there
exists no bijection between the two sets). Use this to show that P(Z+) is uncountable.
Transcribed Image Text:4. Any non-empty set A and its power set P(A) do not have the same cardinality (i.e. there exists no bijection between the two sets). Use this to show that P(Z+) is uncountable.
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