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## Main Question or Discussion Point

1) Peano axioms for the natural numbers

2) Well-ordering principle

3) Principle of mathematical induction

4) Principle of complete induction

Are they all equivalent? I'm going to attempt to prove them if they are, but I'd like someone to point out whether they are or not. I've heard that they are but I may be wrong. Thanks!

BiP

2) Well-ordering principle

3) Principle of mathematical induction

4) Principle of complete induction

Are they all equivalent? I'm going to attempt to prove them if they are, but I'd like someone to point out whether they are or not. I've heard that they are but I may be wrong. Thanks!

BiP