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 ...

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 ...

NOVA: How do mathematicians define infinity? Netz: Something which is equal to some of its parts. That's really the technical definition. NOVA: Is there a difference between the mathematical concept ...