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The point is that it's not a hypothesis. Or, at least there are views about maths where it's not a hypothesis.
by jamesrcole 10y ago
The point is that it's not a hypothesis. Or, at least there are views about maths where it's not a hypothesis.
- icen 10y agoSo it's something that's not a scientific hypothesis, but is considered knowledge! (Or, if as in the other comment chain, 1+1=2 is too obvious, you can take any sufficiently non-trivial theorem of your choosing).
- jamesrcole 10y agoUnder the view I'm describing any statement like that is a kind of definition, not something that is true or false. You can investigate whether it is consistent with other definitions. I believe that doing so is empirical work, which I think is consistent with a broad notion of science