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Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

Is this result really important, right?

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

There's been some issues before where AI companies have claimed we solved these important math problems and then other mathematicians came along and said, well, that's already been solved.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

You probably just saw in your training data or that problem is really minor.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

Is this the same or is this actually a really important problem?

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

And the answer is yes, it is important.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

It is important in the sense that it's a well-known problem.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

And everyone just assumed that Erdos' proposed answer was correct.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

So it really was surprising to mathematicians to learn, oh, he was wrong.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

No one had come up with that before.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

I don't know how many people are actually trying to prove the counterexample, but no one had come up with that before.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

All right.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

Also, it's a result that you could publish in a top venue.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

And they're going to, I assume.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

I mean, there's some complexities about how do you cite this and how do you do authorship, right?

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

But if a human had come up, if they had come up with this exact result without the help of an LLM, boom, annals mathematics, right?

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

It's a big deal to show that Erdos was wrong.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

So it is an important result, and it surprised a lot of people.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

All right, question number two that a lot of people are asking.

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

Does this mean LLMs are now smarter than human mathematicians?

Deep Questions with Cal Newport
Did AI Just “Solve” Math? (Let’s Take a Closer Look) | AI Reality Check

The short answer here is no, but I want to provide you a long answer as well.