A Century of Controversy over the Foundations of Mathematics
published: Oct. 17, 2008, recorded: September 2008, views: 14989
Report a problem or upload filesIf you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
I'll tell the dramatic story of the recent disputes over the foundations of mathematics. I'll start with the problems in Cantor's theory of infinite sets and then discuss the work of Bertrand Russell, David Hilbert, Kurt Godel and Alan Turing, and finally my own work using complexity. This complexity-based analysis of the foundations of mathematics suggests to me that perhaps mathematics is more similar to physics and to biology than is commonly believed, and should sometimes be carried out quasi-empirically, that is, more in the spirit of an experimental science.
Link this pageWould you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !