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 ...

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 ...

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 ...

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 ...

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 ...

1.Sets: Sets and their representations. Empty set, Finite & Infinite sets, Equal sets, Subsets, Subsets of the set of real numbers especially intervals (with notations). Universal set. Venn diagrams.

1. Sets:Sets and their representations. Empty set, Finite & Infinite sets, Equal sets, Subsets, Subsets of the set of real numbers especially intervals (with notations). Universal set. Venn diagrams.

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 ...