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Which one is the hardest? Which one has the most potential for progress?

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>>45 I'd say topology is the hardest. and quantum physics has the most potential

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>>45 AI and machine learning have been accelerating in recent years.. and it still has the most potential for progress. >>47 I'd say topology is the hardest as well.

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idk about hardest I'd say most potential is computational complexity theory, since it's one of the newest fields (and thus there's more 'low-hanging fruit' as it were) and results are already having implications in other unrelated fields (see the MIP* = RE proof for an example).

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Fortune Sage Nonoko

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