According to Eclipse, the intersection of artificial intelligence and formal mathematics may fundamentally reshape how ...
A few weeks ago I was listening to one of my favorite radio shows, BBC Radio 4's In Our Time. It's about as adult-contemporary as a podcast gets: a roundtable of British academics talking about one ...
Two breakthroughs in mathematics could reshape how researchers understand symmetries in nature and the behavior of complex ...
Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...
Explore how core mathematical concepts like linear algebra, probability, and optimization drive AI, revealing its ...
How many atoms are there in the observable universe? Current estimates point to a number we would write as 1 followed by 80 zeroes, or 10 80. If you peered inside each of these atoms and counted their ...
The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...