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We are still humans interacting with and representing science/mathematics. Sure, 2+2=4, unless you're working base 3 or something, in which case you just have t
by kaitai 6y ago
We are still humans interacting with and representing science/mathematics. Sure, 2+2=4, unless you're working base 3 or something, in which case you just have to be careful about your definitions. An easy caveat in hindsight but too often people take the truth they know and insist it's the only one. Just look at the debate over irrational numbers in the time of the Greeks -- they can't exists, claims one side, and as evidence they note that they can't represent them. Or imaginary numbers: they too can't exist. Or parallel lines that cross (what?). Or breaking the rules of calculus to get generalized functions.
Basically one thing I love about math is you can take any statement/idea/construction, consider some opposite of it, and see if you can get something coherent out -- and often enough you do! I'm not saying that 2+2=4 or "you can't differentiate discontinuous functions" is subjective, per se, but it is in some sense a decision, a choice.