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Due Thursday, September 3
- Consider the set where we define
1'=2, 2'=3, 3'=4,..., and also define A'=B and B'=A.
We showed in class that N satisfies the first four Peano axioms.
Prove that N does not satisfy the fifth axiom by finding a
subset M of N that satisfies I and II but yet M does not
- Induction problems 1 and 7 in section 2.7 of the notes.
Wed Sep 2 14:35:14 EDT 1998