∀ ε > 0, ∃ me

proof is left as an exercise to the reader

[cauchyfeelings]

[WARNING]

What you are about to come across are condensed thoughts, subjective perspectives, personal opinions (and mostly really bad jokes) from user @cauchyfeelings. When consuming any online content please be advised that it may subtly distort your thinking. Do not confuse confidence with certainty. Do not default to acceptance without doing your own research. Periodically check in with your own beliefs. Proceed with caution and remember to always question everything.

This is not objective truth. 

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Some things to keep in mind about this space:

Mathematics

Computation

Cognition

Systems

Books

Games

I'm insane

Last updated: 07/01/26

[computer-nerd-girl]

[computer-nerd-girl]

[computer-nerd-girl]

[cauchyfeelings]

Guess who finally got Piranesi!! I’m so excited to read it.

Of everything I sort of know about it without having read it yet it makes me think of the infinite and infinitesimal. Of our desire to understand the universe but also of the inherent unknownness of the universe that makes it fascinating. It’s of this paradox (at least for me) where I want to know everything and understand everything yet at the same time I don’t bc I still want the beauty of uncertainty to surprise me even though there is this sort of fear of the uncertainty. It’s this strange tension but that’s my current understanding of what may be in store. Will update as I read it hehe.

[overly-specific-warios]

[pukicho]

how you doing today boss?

I am on the cusp.

[algebraic-dumbass]

[spherespectrumsupporter]

oh no, do you have any idea how many blow ups it will take to resolve that

[fluentisonus]

no eclipse glasses we are experiencing things allegory of the cave style

[machine-unlearning]

Your honor I refute the characterization of the hidden white text in my court filing as "a means to deceive the court." Your honor can't you see I was just getting a little silly with it?

[noelements-setempty]

I almost picked Pierre de Fermat as my favourite mathematician, but he was beaten by a narrow margin.

[whenmoments]

this post just cant be on its own. it needs the accompanying pic “when you’re level 80” that is exactly the same image, but the stick has glowing runes on it and the crabs are purple

[thevideowall]

Ok, I had nothing better to do with my monday night

[thetenk]

[daclusia-deactivated20190718]

This gets better every time i see it.

[quendergeer]

has anyone got the version “when you’re level 1 but bought the cosmetic package” and he’s wearing a santa hat and hitting the crabs with a candy cane

[sword-and-nightingale]

[clearlightwired]

[you-are-another-me]

[yoneda-emma]

I will forever maintain that writing e^πi + 1 = 0 is the mathematical equivalent of putting ketchup on wagyu beef.

e^πi = -1 is beautiful and geometric and nice why would you obscure the actual meaning by rewriting it as e^πi + 1 = 0 just to forcefully cram some extra numbers you like in there!! you're hurting the equation please stop!!!

[yoneda-emma]

e^πi = -1 -> "hiiii! we're the complex numbers! we're an incredibly nice and simple way to encode rotations, and euclidean isometries in general! join us in our beautiful world of geometry! we love you!!! ^v^"

e^πi + 1 = 0 -> "hey so uhhh did you know that. if you take the unit circle and shift it one to the right then it will be centered at one. and go through zero. waow"

[m---a---x]

Better yet, show the whole underlying correspondence: e^αi = sin(α)+i*cos(α) = (1,α) (in radial coordinates)

[1boyfailure]

I yearn for attention I’ll never earn…. And cigarettes, I really want a cigarette right now

[cauchyfeelings]

Me casually womansplaining what I do to other people through lossy compression.

Suddenly all the mathematicians and computer scientists are crawling out of their graves to attack me over the reconstruction error :(

[foone]

COMPUTER! Show me... THE BIG ONE.

(based on these two posts, of course)