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What is the diff between converging at infinity and trying hard? Doesn’t just trying hard forever converge at infinity? Or u mean it’s provable in a formal sense that if u keep doing X truth will be found.
I don't think trying hard converges at infinity. It is turning over stones, not even necessarily at random. The stones might increase, or shift, and you might end up turning the same few over repeatedly.
Technically the set of all comprehensible (finite) propositions is countable, so as long as humanity won’t weirdly get stuck in a loop (dystopian eschaton) we should surely but possibly extremely slowly find one of those one by one.
This makes me think that there might be a class of algorithms (Universal Philosopher) that provably can find a class of “interesting” truths within finite time, and preferably doing so optimally fast (averaging on different truths). Human thoughts essentially might belong here.
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