In future, our society will recognize greater scientific, social, and economic value in abstract mathematical concepts, logical structures, and the indefinite perception and experience of human beings ...

It's a truly remarkable fact that our deepest understanding of the material world is embodied in mathematics, often in concepts that were originated with some very different motivation. A good example ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

If all you had at your mathematical disposal was the idea of real numbers, you could still get very far. From Galileo to Newton to Coulomb to Maxwell, the entirety of classical physics is built on the ...

Researchers found mathematical structure that was thought not to exist. The best possible q-analogs of codes may be useful in more efficient data transmission. Researchers found mathematical structure ...

A newly-developed mathematical method can detect geometric structure in neural activity in the brain. "Previously, in order to understand this structure, scientists needed to relate neural activity to ...