Lex Fridman
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Appearances Over Time
Podcast Appearances
And therefore, it's easy to forget and feel like this is real and...
mathematical objects or not, but you're making the opposite argument.
When you draw a distinction between numerals and numbers, which numerals are the representation of the number on the page and so on, but could you say that a number is real?
Do numbers exist?
So you would describe it as a size of a set?
What is structuralism?
So is it fair to think of numbers as a kind of pointer to a deep underlying structure?
You've kind of made the case that you can say more concrete things about the existence of objects in mathematics than you can in our physical reality about which to us human brains things are obvious or not.
So what's more real?
The reality we see with our eyes or the reality we can express in mathematical theorems?
Let's talk about the platonic realm.
Is it, like, because you live there, is it real?
How should we think about that?
How should we try to visualize that?
What does it mean to live amongst abstract objects?
Because life is finite.
We're all afraid of death.
We fall in love with other physical manifestations of objects.
And you're telling me that maybe reality actually exists elsewhere, and this is all just a projection.
Well, I mean... From the abstract realm.