The Most Unsatisfying Pi Is Transcendental Proof

Here's a simple proof Pi is transcendental!

This means pi is not algebraic (that it's not a solution to algebraic equations).

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

#math #brithemathguy #shorts

[sinecurve]

That "nice theorem" is doing a lot of work.

[Noname-]

I have a even quicker proof:
A nice theorem said that π is transcendental thus π is transcendental

[keyowah]

Clickbait, this is not the quickest proof. Here is mine:
There is a nice theorem, that says that pi is transcendental.

[CrittingOut]

Good argument. Unfortunately, Pi is in your walls.

[dqrksun]

Next video, quickest proof of that theorem

[minutestomammoth]

And where did that "nice theorem" come from? Does it have a name?

[paulbloemen]

“A” is something because “B” is something, where both “A” and “B” are about equally unclear. So now you have to make clear about “B”, the whole bunch of “A”, “B”, and probably the yet unknown “C” and “D” preferably in one video. And keep in mind what some famous man said: make everything as simple as possible, but not simpler.

[nightmare]

Kind of long, I like to use the theorem that if x is equal to the ration between the circumference and diameter of a circle then x is trancendental.

[Misteribel]

Now you’d have to show the proof of that theorem! 😅

[glebel]

But you could still plug in pi as x, in two scenarios.

One where the vertex's y = 0 and x = pi.

a(x - pi)² + 0
Let a = 1
x² - 2pi X x + pi² = 0, x = pi

Or where pi is one of the zeros.

a(x + pi)(x - pi) = y
Let a = 1
x² - pi² + 0 = y
If x = pi, x² - pi² + 0 = 0

Please tell me if I'm wrong. I just wanted to know. These parabolas seem to contradict the theorem.

[tomb]

Similar to those python tutorials where you can "learn" to do something in 2 lines but the guy really just imports a library and calls a function 🤦‍♂️

[retired]

Interesting video. I do suggest, probably as several other people have already, to at least mention the theorem you are using. For everyone interested, look up the Lindemann-Weierstrass theorem. A consequence of this theorem is that, if x is an algebraic number, then exp(x) (or e^x) is a transcendental number, except for x=0. Hopefully, the video makes a bit more sense and feels a tiny bit more rigorous. Evidently, jamming an entire proof of the theorem in a short may very well be troublesome, so it is understandable why it was left out. Good work, either way!

[smalin]

Does "x is true because x depends on the truth of y and there's a proof that y is true" constitute a proof?

[kensandale]

He didn't prove it. He didn't come close to proving it.

The proof would be to show that if e^x + 1 =0 then x is transendental, followed by trivial stuff. He never proved that if e^x + 1 = 0 then x is transendental.

[Dystopie]

Maybe i didnt get it, but the solutions to the polynom (x - pi)(x + pi) are pi and -pi right?
So how is pi transcendental?

[tifng]

Teacher: prove the formula
Student: the formula is true according to the nice theorem

[stephenwu]

People who are saying "oh where did that nice theorem come from" seem to be misunderstanding a lot of what math is. the process of creating new theorems is basically just using old theorems and mathematical reasoning to derive new ones. Using a different theorem that makes the problem entirely easy is valid. Sure, it's not really satisfying and boring, but the title literally says that.

[dino]

ln(-1)
log_e(-1)
log_e(e^i•pi)
Cancel log_e with e
answer is i•pi

[phnml]

I think that this is just moving the Problem to another place haha

[MrOligi]

I like that i is both algebraic and not real.