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Lex Fridman

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96176 total appearances
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Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

I have to ask about P versus NP.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

This is one of the big open problems in complexity theory.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

So for people who don't know, it's about the relationship between computation time and problem complexity.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Do you think it will ever be solved?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

And is there any chance the weird counterintuitive thing might be true that P equals NP?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

And on the third hand, like you said, we already have approximation algorithms that, from a pragmatic perspective, solve all the actual real engineering problems of human civilization.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Sorry to ask the ridiculous question, but who is the greatest mathematician of all time?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Who are the possible candidates?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Euler, Gauss, Newton, Ramanujan, Hilbert.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

We mentioned girdle touring, if you throw them into the bucket.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

So you don't have like, you know, some people have like a Taylor Swift poster.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

What do you make of that?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Because I see that sometimes when...

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

mathematicians, this also applies in physics and science, where completely separately discoveries are made, maybe at a very similar time.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

What does that mean?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Do you understand where ideas come from?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

I mean, what's your own process when you're thinking through a problem?

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

And sometimes it actually involves now more and more something like the Lean programming language where some parts are automated.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Yeah, I see.

Lex Fridman Podcast
#488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins

Your curiosity draws you towards simplicity.

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