GeomStatsCS
@CompStatsGeom
Learning is one thing. Exploring is quite another. Let us foster both in ourselves and others for the good and happiness of everyone.
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What Twitter lost when academics left wasn’t authority figures. It was a community who loved learning for its own sake, who took pride in explaining things to others. They left, and the cool threads about modern art, military history, and quantum physics left with them.
En casas y centros educativos debemos centrar nuestro empeño en que niños, adolescentes y jóvenes puedan mantener intacto el ahínco por imaginar. Quien mantiene viva su imaginación mantiene viva su libertad. Mirar más allá de lo que se ve. Ver para imaginar nuevas posibilidades.
Andrew Wiles thought he had proved Fermat's Last Theorem. Then he realized that his proof was broken. A year later, he "fixed" it. Wait, wait, this makes no sense at all😱! Math was supposed to be about "true vs false"—what is this "broken vs fixed" thing?⤵️
This great book is a masterpiece at conveying notions and intuitions of geometry with many figures. Check it out!
A corollary of the No Free Lunch Theorem for cognitive development is that writing is hard, and it should be.⤵️
In case you never heard of Abstract Algebra before as a math subject, here it is in a nutshell: it's a subject that deals with different sets which are equipped with one or more binary operations and axioms that give rise to different types of algebraic structures called Groups,
Those who master higher mathematics master the art of limitless thinking that leads to ideas beyond imagination.
As a Math and Category Theory fan, I so much wish programming was the same: Formal. Pure. Unambiguous. But it’s not. It’s always nice when you can leverage some math properties and write elegant correct software. And it sure feels nice to ignore the real world and pretend you…
Programming Isn't Math, It's Linguistics. Compilers and Humans have the same problem. We're all terrible at understanding each other. Join me for some formal language theory, a lot of C++, and some "recreational" insults.
It’s a weird world in which you can’t even say computer programming is a mathematical endeavor, a completely trivial observation to anyone with even a passing familiarity with the work of Turing, Gödel, Church, Strachey, Scott, Knuth, Dijkstra… without people jumping down your…
"A First Course in Geometric Topology and Differential Geometry"
The bottleneck for deep skill isn't usually intelligence, but boredom tolerance. Learning has an activation energy: below a certain skill threshold, practice is tedious, but above it, it becomes a self-sustaining flow state. The entire battle is persisting until that transition.
AI is going to give us doom. AI is going to give us abundance. Erm both these statements are without mechanism. We need hardware interfaces to build / grow stuff. Then the abundance agenda starts to look good & with good ethics & regulation we can deal with the doom.
👀 "Proven Impossible: Elementary Proofs of Profound Impossibility from Arrow, Bell, Chaitin, Gödel, Turing and More" 1/2
El ejercicio no es una sugerencia de vida. Es una demanda biológica. #doctormauinforma
→ Physics, mathematics, our lives. Credit: I didn’t upload this video to 𝕏. I’m pointing to a video residing in the 𝕏 stream of “Enezator 1 Mn”, 𝕏 ID “Enezator” (Oct 2, 2025).
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