nostr:npub1pt6l3a97fvywrxdlr7j0q8j2klwntng35c40cuhj2xmsxmz696uqfr6mf6 nostr:npub1g0uss0sjsgxwmhqxgnvlj0zv9ru89xwfyktkcjc0kgy8syxj79ss383vfw nostr:npub1u5tpktgc8gv8jw22cyjyh5gy5nr07v88hmrvtut7zkr06q0py6fs30xmf3 >These “greats” were romanticized but the discoveries would have happened without them, give or take a few years. Ideas seem to arise from their own mechanics and then animate the people who later claim credit for them.
I'm not fully convinced of this for all discoveries. (I agree with it for nuclear weapons, but not for *all* discoveries).
I see no reason to believe that an alien civilization would have developed the same mathematics we have. The axioms we have - including "the natural numbers exist" - are very much consequences of human beliefs. One can imagine very easily an alien civilization which firmly believes there are no infinite sets.