Tuesday, 17 March 2015, 1:00PM
Museum of London

Cantor's Infinities

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.

Speaker_RaymondFlood_370x370.jpg

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.

His first year of lectures as Gresham Professor of Geometry was titled Shaping Modern Mathematics:

The 19th Century saw the development of a mathematics profession with people earning their living from teaching, examining and researching and with the mathematical centre of gravity moving from France to Germany. A lot of the mathematics taught at university today was initiated at that time. Whereas in the 18th Century one would use the term mathematician, by the end of the 19th Century one had specialists in analysis, algebra, geometry, number theory, probability and statistics, and applied mathematics. This series of free public lectures looks at the shaping of each of these mathematical areas and at the people who were involved.

Professor Flood continues his Geometry series in the 2015/16 academic year, entitled 'Great Mathematicians, Great Mathematics'.

Professor Flood's previous lecture series' are as follows:

2014/15 Great Mathematicians, Great Mathematics
2013/14 Applying Modern Mathematics
2012/13 Shaping Modern Mathematics

All of Professor Flood's past Gresham lectures can be accessed here.

Read More
Read Less

Transcript

17 March 2015

Cantor's Infinities
Professor Raymond Flood

View PDF
Print
Related Future Lectures
Related Past Lectures
WATCHED
Part of a series

Maths is Coded in Your Genes

Professor Chris Budd OBE
Tuesday, 9 January 2018 - 1:00PM
WATCHED
Part of a series

Is a Mathematician a Robot?

Professor Chris Budd OBE
Tuesday, 13 February 2018 - 1:00PM
WATCHED

Euler's Equation: 'The Most Beautiful Theorem in Mathematics'

Professor Robin Wilson
Thursday, 15 February 2018 - 6:00PM
WATCHED
Part of a series

The Quantum Mathematician

Professor Chris Budd OBE
Tuesday, 13 March 2018 - 1:00PM
WATCHED
Part of a series

Can You Do Mathematics In A Crowd?

Professor Chris Budd OBE
Tuesday, 24 April 2018 - 1:00PM
WATCHED

Mathematical Research from Toy Models

Professor Tadashi Tokieda
Tuesday, 22 May 2018 - 6:00PM
WATCHED
Part of a series

Maths Goes Into Space

Professor Chris Budd OBE
Tuesday, 14 November 2017 - 1:00PM
WATCHED
Part of a series
Part of a conference

Pi and e and the the most beautiful theorem in mathematics

Professor Robin Wilson
Wednesday, 25 October 2017 - 6:00PM
WATCHED
Part of a series
Part of a conference

Just Imagine! The Tale of i

Professor Raymond Flood
Wednesday, 25 October 2017 - 4:45PM
WATCHED
Part of a series
Part of a conference

Zero is a Hero

Professor John D Barrow FRS
Wednesday, 25 October 2017 - 4:00PM
WATCHED
Part of a series

How Maths Can Save Your Life

Professor Chris Budd OBE
Tuesday, 17 October 2017 - 1:00PM
WATCHED

Escher and Coxeter - a Mathematical Conversation

Professor Sarah Hart
Monday, 5 June 2017 - 1:00PM
WATCHED
Part of a series
Part of a conference

Just Imagine! The Tale of i

Professor Raymond Flood
Wednesday, 25 October 2017 - 4:45PM
WATCHED
Part of a series

Turing and von Neumann

Professor Raymond Flood
Tuesday, 19 April 2016 - 1:00PM
WATCHED
Part of a series

Hardy, Littlewood, Cartwright and Ramanujan

Professor Raymond Flood
Tuesday, 15 March 2016 - 1:00PM
WATCHED
Part of a series

Gauss and Germain

Professor Raymond Flood
Tuesday, 16 February 2016 - 1:00PM
WATCHED
Part of a series

Babbage and Lovelace

Professor Raymond Flood
Tuesday, 19 January 2016 - 1:00PM
WATCHED
Part of a series

Hamilton, Boole and their Algebras

Professor Raymond Flood
Tuesday, 17 November 2015 - 1:00PM
WATCHED
Part of a series

Turing and von Neumann

Professor Raymond Flood
Tuesday, 19 April 2016 - 1:00PM
WATCHED
Part of a series

Hardy, Littlewood, Cartwright and Ramanujan

Professor Raymond Flood
Tuesday, 15 March 2016 - 1:00PM
WATCHED
Part of a series

Gauss and Germain

Professor Raymond Flood
Tuesday, 16 February 2016 - 1:00PM
WATCHED
Part of a series

Babbage and Lovelace

Professor Raymond Flood
Tuesday, 19 January 2016 - 1:00PM
WATCHED
Part of a series

Hamilton, Boole and their Algebras

Professor Raymond Flood
Tuesday, 17 November 2015 - 1:00PM
WATCHED
Part of a series

Einstein's Annus Mirabilis, 1905

Professor Raymond Flood
Tuesday, 20 October 2015 - 1:00PM