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Every Mathematical Theory Is Held Inside a Physical Substrate
Every Mathematical Theory Is Held Inside a Physical Substrate

Every Mathematical Theory Is Held Inside a Physical Substrate

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Naval Ravikant, Brett Hall
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3 Clips
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Apr 12, 2021
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Episode Transcript
0:00
There goes my solution for Zeno's Paradox, which is before you can get all the way somewhere. You have to get halfway there in before you can get halfway there to get a quarter of the way there and therefore you'll never get there one way to get past that a say even a series of infinite things can have a finite sum this run the infinite series and Summit and we learned pretty early on that converges. But another thought I had was that you have to cover a minimum distance the Planck length. And therefore you will get there. It's a finite series of steps, but you're saying we just don't know.
0:25
Yes. So if the laws of physics say that we can cover one meter in a certain.
0:30
Time period then that's exactly what we'll do and our current understanding of the laws of physics say precisely that so Zeno's Paradox is resolved simply by saying that we can cover this space in this amount of time. It's silent on whether or not space is infinitely divisible when someone asks you is space infinitely divisible, then I would say yes it is and they might turn around and say how do you know and I would say general relativity. How do I know? That's true. Well, I don't know that it's true. However, it is the best explanation that we presently have.
1:00
Of space-time and then I might get into a discussion about well, if it's infinitely divisible, then you're presented with Zeno's Paradox all over again and I would say no you refute that by a simple experiment so we don't know how it is, but we can travel through all of these infinite points. If in fact there are infinite points Zeno's paradoxes about the domain of pure mathematics, but we don't live in a world of pure mathematics. We live in a world of physics and if the physics says that we can transverse an infinite number of points in a finite amount of time than that.
1:29
What will do regardless of what the mathematics is
1:32
every mathematical theory is held inside a physical substrate of a brain or a computer. You're always Bound by the laws of physics and these pure abstract domains may have no mappings to reality.
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