The size of certain infinite sets has been a mystery. Now, it turns out, each one is different than the next, and they can all be ordered by size ...

This result means that the infinite apparatus in RT 2 2 can be wielded to prove new facts in finitistic mathematics, forming a surprising bridge between the finite and the infinite.

Robert Cohen, Classes of Automorphisms of Free Groups of Infinite Rank, Transactions of the American Mathematical Society, Vol. 177 (Mar., 1973), pp. 99-120 ...

The set of real numbers, in turn, is smaller than even larger infinities, and so on. To measure the size of infinite sets, Cantor introduced so-called transfinite numbers.

Defining Infinity Season 2 Episode 17 | 10m 31s | CC Set theory is supposed to be a foundation of all of mathematics. How does it handle infinity? 08/29/2018 From ...

Haddley and Worsley found that they could cut an infinite number of curved slices with an odd number of sides and even keep the delicate balance when they sliced them each in two.