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>(for example just the other day I was thinking "hey, has anyone proved that mathematical induction is really intellectually honest? or was Hume actually right
by Jimmy 13y ago
>(for example just the other day I was thinking "hey, has anyone proved that mathematical induction is really intellectually honest? or was Hume actually right and it's all make-believe?")
Mathematical induction is different from the type of induction that Hume was concerned with, and it's just as sound as any other method of mathematical proof.
- mindcrime 13y agoI'm guessing the post you replied to really meant to talk about "inductive reasoning" and not mathematical induction. Regarding the former, it is a well known open question within the philosophy of science, regarding how valid inductive reasoning is.[1] [1]: http://en.wikipedia.org/wiki/Problem_of_induction http://en.wikipedia.org/wiki/Problem_of_induction