Philosophy Undergraduate Welcome Lecture

You are warmly invited to attend the Philosophy and Joint Schools Undergraduate Welcome Lecture

Wednesday 11th October 2017 (week 1) at 5pm in lecture room 3, Mathematical Institute.

Talk: Dr Richard Earl, Mathematical Institute

The Banach-Tarski Paradox and much more – twice as much in fact!

Through the 19th century and into the 20th, mathematicians began increasingly to uncover surprises (some nice, some nasty) amongst their notions of geometry and space. Seemingly axiomatic ideas like the parallel postulate, crucial notions such dimension and volume were, all of a sudden, much less certain than had been previously been the case. This talk covers some of those seminal discoveries with a focus mainly on the Banach-Tarski paradox which states that, by means of breaking an object into finitely many pieces, its volume can be doubled; reassuringly (or perhaps not!) this is not the case with area.

The evening will conclude with a drinks reception in the Mezzanine.

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