Download mp3 here: http://downloads.bbc.co.uk/podcasts/radio4/iots/iots_20010111-0900a.mp3
Is mathematics the script in which the universe was written, or is it really just one of many possible systems that humankind has invented to interpret our world? Is mathematics is a process of invention or a voyage of discovery?
11:44 - is mathematics just a catalogue of all possible patterns in nature?
14:48 - is mathematics discovered or invented?
16:03 - are numbers part of the fabric of the universe or are they simply a reflection of the way our minds work?
Download mp3 here: http://downloads.bbc.co.uk/podcasts/radio4/iots/iots_20081009-0900a.mp3
In his "Incompleteness Theorems", Kurt Gödel proved that there are some problems in mathematics that are impossible to solve. In doing so Gödel changed the way we understand what mathematics is and the implications of his work in physics and philosophy take us to the very edge of what we can know.