True and False? There is no one-to-one correspondence between the set of all positive integers and the set of all odd positive integers because the second set is a proper subset of the first.

Raynor2i

Raynor2i

Answered question

2022-07-18

True and False?
There is no one-to-one correspondence between the set of all positive integers and the set of all odd positive integers because the second set is a proper subset of the first.

Answer & Explanation

phravincegrln2

phravincegrln2

Beginner2022-07-19Added 19 answers

False. Take A the natural numbers, B = A { 0 } the positive ones, and f subtraction of   1. (Is true for any finite set A however.)

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