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.

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 ...

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

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

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.

6. The Mathematics of the Infinitely Big Episode 6 of 10 Adrian Moore explores the idea of infinity through history: brilliant but tortured German mathematician, Georg Cantor. From 2016. Show more ...