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Actually, now that I have explained the argument I realize it has nothing to do with induction. The logic of the argument is unrelated to induction, it's simply
by poetically 5y ago
Actually, now that I have explained the argument I realize it has nothing to do with induction. The logic of the argument is unrelated to induction, it's simply about functions that take constant values on some sets and what is required to extend a function to a larger set and conclude that it is constant on the larger set.
- auggierose 5y agoYour argument still explains the induction step. In the end, P[n] => P[n+1] is just a statement that has “nothing to do with induction” once it is formed. You have obviously the right intuition about induction, but I think you are confused about its exact nature.
- poetically 5y agoWe'll have to agree to disagree then.