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Jimmy | 6 years ago

>Instead, we're only interested in finding the logically valid theorems which serve the above purpose of explaining the patterns in the world concisely.

That's just empirically false though. Take the "perfectoid spaces" mentioned in the article. Do you think mathematicians are interested in them because they "explain the patterns in the world concisely"? No, they're interested in them because of their mathematical significance, and their applications to problems within mathematics. Mathematicians are not physicists.

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solinent|6 years ago

> mathematical significance, and their applications to problems within mathematics

These external problems ultimately are about explaining patterns in the world.

I'm just saying you'll never replace the relationship between the mathematician and the physicist by simply replacing the mathematician. Instead, you'd have to replace the whole academic process, making fully autonomous universities. In which case they're still not interested in exactly same problems unless they are constructed in the same way (which they are not, since they are not human).

I'm not saying that computers won't be able to aid us with these meta-theories which help push our main theories forward. So I do agree that they can come up with some theory, but not all of it, and not most of it.