MathFoundations191: Numbers, polynumbers, and arithmetic wit

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MathFoundations191: Numbers, polynumbers, and arithmetic with vexels II

https://www.youtube.com/watch?v=gl-9c-Fy6Ao

Why do you not learn Vexel theory?

why do you still care about carrying like a brianlet?

Why do you limit yourself to count to 10^200?

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>>8208395

look at this brainlets and their carrying

hhahahahahahahahahahha

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>>8208399

>Vexels in base 2

HE HAS DONE IT

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I'm a chemist, why should I care?

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>>8208395

Damn vexels are neat

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So it's turning into a lecture marriage of arithmetic & data structures?

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bimp

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Really makes me think.

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>count to 10^200

What?

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>>8209520

>What?

10^200 longer than our universe is dense (in planck units)

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>>8208811

Mathematical foundations in general really just boils down to defining formal data structures (eg. set theory, category theory, type theory, lambda calculus, etc..).

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>>8209520

his number system permit to go beyon 10^200

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Non-mathematician here.

What is the point of this?

Most of these things are completely obvious and intuitive, why does it take someone with a PhD to explain them?

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>>8211046

Because there are weird formal problems that arise depending on how you implement these data structures. If you're not careful it is possible to introduce paradoxes.

That said you don't need a PhD to do this sort of thing and there are many different approaches towards the problem of foundations. Wildbergers approach is of interest because he is often critical of other approaches and because his goal doesn't include real numbers so it may not have the weirdness associated with such systems.

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