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While unsatisfying from an "I solved this riddle" perspective I still think that's a great thing because it will open up a lot of stuck fields.


How so? You can just assume that some conjecture is true and proceed with your work. (For some conjectures that is acceptable, for others, not so much.)

An interesting proof would have to show something more than just the truth: maybe it's constructive and shows how to compute something, or it shows a connection between fields previously seen as barely related. Or it uses a new trick or language that could be applied elsewhere. But I think all that requires that the proof is a bit more than transparent than just having a formally verifiable representation.


I expect that we will move in a direction that all proof. Not just steps is done by computers. The human input remaining is just to ask it what to prove.




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