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Why Impressive-Mud5074 Doesn’t Believe in Pi

Wrath of Math

531,742 views

Please don't go out of your way to pester Impressive-Mud5074 about his ultrafinitism! Despite the jokes, I hope you will come to understand where he is coming from throughout today's discussion!

"Pi is uncomputable", so said Impressive-Mud5074 on r/learnmath. From there, he was thoroughly discoursed and today we look at the whole saga - digging into computability, the halting problem, and ultrafinitism. #maths #mathmemes

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SOURCES
https://human.libretexts.org/Bookshel...
Real Analysis is a Degenerate Case of Discrete Analysis by Doron Zielberger
https://plato.stanford.edu/entries/ph...
Hilbert, David (1926), "Über das Unendliche", Mathematische Annalen, 95 (1): 161–190
Computational Complexity: A Modern Approach by Sanjeev Arora and Boaz Barak
What is Mathematics and What Should it Be? By Doron Zeilberger
https://mathworld.wolfram.com/Axiomof...
Meta Math!: The Quest for Omega by Gregory Chaitin
Aristotelian Infinity by John Bowin
Understanding the Infinite by Shaughan Lavine
Computation Finite and Infinite Machines by Marvin L Minsky
Ultrafinitism by Joel David Hamkins
Alan Turing, On computable numbers by Joel David Hamkins
https://math.stackexchange.com/questi...
https://mathoverflow.net/questions/44...
Constructivism in Mathematics an Introduction Volume 1 by A.S. Troelstra and D. Vandalen
On Computable Numbers, with an Application to the Entscheidungsproblem by A. M. Turing

0:00 Intro
2:02 Computable Numbers
3:49 Impressive Mud's Definition
7:05 Opposing Pi
12:53 Zielberger
15:33 Uncomputable Conception
21:57 Conclusion

20 Comments

@WrathofMath Creator 3 months ago Pinned

I choose 100% as the arbitrary precision 😎 THANKS FOR 400K 🥳
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@Nukestarmaster 3 months ago

Ah, yes, the standard Reddit debating technique of redefining words to mean something new and then acting smug that you rendered your position unfalsifiable.

@muhammadryanelyeddari8631 3 months ago

I'm an ultra ultra finitist. I don't believe in numbers.

@Wolololo2837 3 months ago

I didn't realize Math has flat-earthers too.

@lukes9192 3 months ago

Ah, the Terrance Howard approach. "You say that multiplication is obvious, but if I suppose a completely different definition of multiplication, then you are now wrong"

@Toactwithoutthinking 3 months ago

In the engineering world Pi is 3, but lets call it 5 for safety reasons.

@TheKastellan 3 months ago

"Oh is this one of those things where people are just mean on Reddit"

"Nevermind, get him".

@OceanBagel 3 months ago

"Pi is the most famous non-integer"
Food is not an integer, and it's almost certainly more well-known than pi considering that every human needs it to survive

@monopoly5496 3 months ago

bro printed out 2 books worth of Mud5074 comments

@durianpeople 3 months ago

I listen to this video podcast-style. 11:35 . Every time he says “imagineAnEpicUsername” I imagined an epic username

@nikninjayt 3 months ago

9:46 "dont bleep I didnt say anything" LOL😭

@Mothuzad 3 months ago

Glad there's a name for "I don't understand what 'arbitrary' means, and I'm gonna make it everybody else's problem."

@SammTech_LLC 1 month ago

I didn't know Pythagoras's cult still had members.

@jzmc7562 3 months ago

I feel like the entire basis of ultrafinitism is "buuuut infinity doesn't make sense!!!"

@legitman-q8u 3 months ago

impressive mud when unimpressive diamond walks in

@DanLivings 3 months ago

The halting problem is trivially solvable if you allow "don't care" as a valid result and consider getting bored of waiting to be an oracle.

@Willingmess 1 month ago

I love how Mud’s answer blatantly ignores the “outside the halting problem” part of the question, just so he can try to make some weird statement.

@SuprousOxide 3 months ago

Pi = 3. If I need more precision I get a calculator.

@phantasm1234 3 months ago

Ironically, the Ultrafinitist definition involving +h sounds a heck of a lot like the SURREAL numbers, which would be the worst nightmare of an ultrafinitist...