>>12479760>>12479743>>12479528>>12479414Science in the strict sense only care about whether your proof is correct and nothing else. It doesn't say anything about how you find that proof, it can be god-given, spout out by an alien machine or appear in your dreams, none of that technically matters. Sure, our monkey brain happen to use the subjective notion of "beauty" to help him find new proofs, but it's as relevant as to say "my poop was L-shaped this morning which gave me the idea for the proof of X".
I mean I know what you mean, when you do something and it all starts working when everything fits so nicely. But you should really keep it mind that this is not a logical statement in any sense, just you saying "wow I really like that thing for arbitrary reasons hardcoded in my brain". You'll never be able to justify a definition for "beautiful logical structure" and "important theorems" such that beautiful structures provably helps find important theorems, because in the end "important theorems" will always be another word for "theorems I like".