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Gresham College: Prof.Raymond Flood – Great Mathematicians, Great Mathematics – #6/12 – Cantor’s Infinities


An excellent series delivered by Professor Raymond Flood

About this lecture

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.

About the lecture series

 A series of lectures to look at the personality and some of the work of a number of famous mathematicians and then discuss more recent developments and applications..

Professor Raymond Flood

Raymond Flood has spent most of his academic life promoting mathematics and computing to adult audiences, mainly through his position as University Lecturer at Oxford University, in the Continuing Education Department and at Kellogg College. In parallel he has worked extensively on the history of mathematics, producing many books and writing diverse educational material.

He is Emeritus Fellow of Kellogg College, Oxford, having been Vice-President of the College and President of the British Society for the History of Mathematics before retiring in 2010. He is a graduate of Queen’s University, Belfast; Linacre College, Oxford; and University College, Dublin where he obtained his PhD.

He enjoys communicating mathematics and its history to non-specialist audiences, as he has done recently on BBC Radio 4’s In Our Time and on transatlantic voyages with the QM2. Two of the most recent books with which he has been involved are The Great Mathematicians, which celebrates the achievements of the great mathematicians in their historical context, and Mathematics in Victorian Britain,which assembles into a single resource research on the history of mathematicians that would otherwise be out of reach of the general reader.

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