www.computerworld.com/article/4059...
With Isaac Ramos, we show that 2D billiard systems are Turing complete, implying the existence of undecidable trajectories in physically natural models from hard-sphere gases to celestial mechanics.
Determinism ≠ predictability. 🎱🧠 @upc.edu @ricardsole.bsky.social
With Isaac Ramos, we show that 2D billiard systems are Turing complete, implying the existence of undecidable trajectories in physically natural models from hard-sphere gases to celestial mechanics.
Determinism ≠ predictability. 🎱🧠 @upc.edu @ricardsole.bsky.social
He answered a MathOverflow question about undecidable problems by suggesting that "people in the area believe" that it's undecidable whether or not a given polyomino, you can use it to tile a rectangle, as in the below picture.
He answered a MathOverflow question about undecidable problems by suggesting that "people in the area believe" that it's undecidable whether or not a given polyomino, you can use it to tile a rectangle, as in the below picture.
On Formally Undecidable Propositions of Principia Mathematica and Related Buttholes
I’ll do my own book.
Butthole Taste Texture
The Butthole of the Dragon
On Formally Undecidable Propositions of Principia Mathematica and Related Buttholes
"there are no clear frontiers that are separating the "AI-feasible" problems from the "AI-hard" problems (which certainly still exist, given that the difficulty level of problems are unbounded, and can even be undecidable). "
"there are no clear frontiers that are separating the "AI-feasible" problems from the "AI-hard" problems (which certainly still exist, given that the difficulty level of problems are unbounded, and can even be undecidable). "