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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Re: Proof of Chebyshev's inequality by induction''
by drini on 2004-05-18 19:04:01 |
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although the clearer bit depends on the reader, I feel the "proper" bit is a little overstatement, since there's no way to decide which proof is "proper".
Besides, the statement that the proper proof of any statement claimed to be valid for all natural numbers must be an induction proof, I find it groundless (besides the point than many theorems depending on a single positive integer parameters can't be easily or elegantly proved by induction (and often they cannot be at all))
f
G -----> H G
p \ /_ ----- ~ f(G)
\ / f ker f
G/ker f |
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