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 ...

Here is the core endeavor of spiritual practice: transcending finite mind. The finite mind of “I-Me-Me-My” is inherently dualistic — it operates by creating distinctions between subject and object, ...

If the universe has only existed for a finite time, then we couldn’t actually have an infinitely large universe emerging from a finite initial state. However, we don’t know if the initial state of the ...

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 ...