Great Mathematicians, Great Mathematics

Cantor's Infinities by Professor Raymond Flood. Although many people contributed to the study of infinity over the centuries it was Georg Cantor in the nineteenth century who established its modern development. Cantor created modern set theory and established the importance of one-to-one correspondence between sets. For example he showed that the set of all integers can be put into one-to-one correspondence with the set of all fractions and so these two sets have the same infinity. But he also proved the remarkable result that there are infinitely many infinities, all of different sizes. (from

Cantor's Infinities

Go to the Series Home or watch other lectures:

01. Fermat's Theorems
02. Newton's Laws
03. Euler's Exponentials
04. Fourier's Series
05. Mobius and his Band
06. Cantor's Infinities
07. Einstein's Annus Mirabilis, 1905
08. Hamilton, Boole and their Algebras
09. Charles Babbage and Ada Lovelace
10. Gauss and Germain
11. Hardy, Littlewood, Cartwright and Ramanujan
12. Turing and von Neumann