CPS Lunch Forum: Øystein Linnebo

Øystein Linnebo (CPS/IFIKK, UiO) presents at CPS Lunch Forum

The seminar is open. Send an e-mail to gry.oftedal(at)fikk.uio.no and receive the zoom-link.

 
Title: What is infinity? 
 
Abstract: The answer we now give is relatively recent. The dominant view in mathematics and philosophy used to be that infinity can only be understood as potential, not actual. For example, while it is always possible to produce one more object, it is not possible for there to simultaneously exist infinitely many objects. This view was finally eclipsed by Georg Cantor’s discovery of modern set theory in the late 19th century. I describe, in a fairly accessible way, how our conception of infinity has developed. I also show how the pre-Cantorian conception admits of a sharp mathematical analysis, which can inspire mathematics that remains interesting today. 


 

Published Oct. 1, 2020 6:01 PM - Last modified Oct. 18, 2020 10:09 PM