Ok, I'm really confused with the reasoning behind inductive proofs.(adsbygoogle = window.adsbygoogle || []).push({});

To prove some statement is true for all natural numbers, you need to assume the statement is true for some number k. But aren't you really assuming the statement is true for all natural numbers in the first place? If you can find some number k for which the statement isn't true, it is not true for k+1. So the statement HAS to be true for k, for it to be true for k+1. So aren't you just assuming a statement is true to prove it is true? Sounds like a circular argument to me.

Note: I've only just started learning inductive proofs so sorry if I've misunderstood something :)

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# What's the point of inductive proofs?

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