With a surprising new proof, two young mathematicians have found a bridge across the finite-infinite divide, helping at the same time to map this strange boundary. The boundary does not pass between ...

Scientists have many big questions to tackle about the universe, including how big it actually is. But even the proposed answers aren't straightforward.

The universe's spatial geometry, which can be flat, negatively curved (open), or positively curved (closed), dictates whether its size is finite or infinite. A positively curved universe is finite; a ...

In the past, it was generally agreed upon that the Universe was either infinite in size and age, or that it was of finite size – with the dimension of time not coming about until the birth of the ...

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 ...

13.8 billion years ago, what we know as our Universe began with the hot Big Bang. It's been expanding and cooling ever since, up through and including the present day. From our point-of-view, we can ...

It was Jan. 30, 1968, the eve of the Lunar New Year. In Vietnam, this holiday is known as Tet, and tradition on Tet calls for a ceasefire in time of war. However, that tradition served as the cover ...

Finite, or Fermat arithmetic, as we call it, differs from Peano arithmetic in that it does not involve the existence of an infinite set (of natural numbers) or Peano's induction postulate. Fermat's ...

And just like that, it’s December once again. It’s time to look back at the year 2019, and check if there are goals that can still be achieved before the year ends. It’s time to “close some books” – ...