Positive curvature, like that on a sphere, implies a finite universe, while zero curvature, as on a flat plane or negative ...

While the concept of infinity may seem mysterious, mathematicians have developed processes to reason the strange properties of infinity. Mathematician Emily Riehl has been challenged to explain ...

This summer, sprinters from around the world will gather in Rio to compete in the 100-meter dash. Should you choose to tune in, you'll be treated to electrifying race after electrifying race. With ...

The surface of Earth is finite. We can measure it. If it was expanding, then its size would grow with time. And once again, good ol' Earth helps us understand what the universe might be doing beyond ...

One question has preoccupied humankind for thousands of years: Do infinities exist? More than 2,300 years ago Aristotle distinguished between two types of infinity: potential and actual. The former ...

Of all the endless questions children and mathematicians have asked about infinity, one of the biggest has to do with its size. Whether it’s on the playground or at bedtime, children encounter the ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Infinite computation represents an emerging paradigm that extends classical numerical methods through the incorporation of infinite and infinitesimal quantities. By embracing non‐standard analysis, ...