A drawn circle is at least something physical. You can see it, touch it, erase it. The skeptic can still say, "Circles are grounded in physical reality. Justice is different; it's just an idea in your head." So let's talk about the number two. Point to it. Not two apples, not two fingers, not a numeral on a page-that's just a symbol.
This, says Alexey Pajitnov, while holding a scrambled Rubik's Cube, is my favorite puzzle. But I also think it's simply one of the best things humanity has ever invented. If we could only send 10 things into space, this should be one of them. Standing beside Pajitnov who revolutionized the digital world when he created Tetris, the best-selling video game of all time is the cube's creator, Erno Rubik, smiling widely.
One thing I heard from some of the top researchers and mathematicians I've recruited to Axiom is that solving for mathematical superintelligence will be their legacy,
It's easy to take maps for granted. After all, most of us have a pretty good map in our pockets at all times, ready to show us how to get anywhere on the globe. But to make a map useful, you have to decide what to keep in and what to leave out-and, most importantly, which mathematical equations to use.
The transition from academic to public scholar involved significant challenges, including the need to unlearn academic habits and adapt writing style for broader audiences.
The DeepSeek research team has expanded their evaluation framework with a new benchmark collection designed specifically for formal theorem proving assessment. This includes ProverBench, a collection of 325 formalized problems.
Quantum computing stands to revolutionize various fields, but the path to practical, large-scale quantum systems remains filled with complex challenges. Researchers are addressing these with innovative approaches.
