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 ...

Constructive mathematics reconsiders traditional foundational approaches by emphasising explicit constructions and algorithmic content rather than relying solely on non-constructive existence proofs.

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 ...

BROOKLYN, N.Y. — Scientists have long used mathematics to describe the physical properties of the universe. But what if the universe itself is math? That's what cosmologist Max Tegmark believes. In ...

What is and is not possible for natural evolution may be explained using models and calculations from theoretical physics, say researchers. To explain this the limits of evolution, researchers ...

"But neuroscience data doesn't necessarily play by the same rules as data from physics, so we need new tools. Our method is a first step toward developing a new mathematical toolkit to uncover the ...