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JonahSinick comments on Progress on automated mathematical theorem proving? - Less Wrong
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"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is." --- John von Neumann.
See also the quotation in this comment.
Ha, I've seen that quote before, good point! (and likewise in the linked comment) I suppose one reason to think that mathematical reasoning is close to AGI is that it seems similar to programming. And if an AI can program, that seems significant.
Maybe a case could be made that the key difficulty in programming will turn out to be in formulating what program to write. I'm not sure what the analogue is in mathematics. Generally it's pretty easy to formally state a theorem to prove, even if you have no idea how to prove it, right?
If so, that might lend support for the argument that automated general mathematical reasoning is still a ways off from AGI.
The mathematical counterpart may of the "recognizing important concepts and asking good questions" variety. A friend of my has an idea of how to formalize the notion of an "important concept" in a mathematical field, and possible relevance to AI, but at the moment it's all very vague speculation :-).
It's pretty easy for a human of significantly above average intelligence. That doesn't imply easy for an average human or an AI.