Invitation to the Logic Seminar at the National University of Singapore

Date: Wednesday, 18 April 2018, 17:00 hrs

Room: S17#04-06, Department of Mathematics, NUS

Speaker: Samuel Alfaro Tanuwijaya

Title: Introduction to surreal numbers

URL: http://www.comp.nus.edu.sg/~fstephan/logicseminar.html

In this talk, I will introduce the basic definitions of the surreal

numbers and their ordering given in the book by Harry Gonshor, and

their relations to the definitions given by Conway and Knuth. I will

then continue with the definitions operations on the numbers, such as

addition, multiplication, and division, and then prove that the

surreal numbers form a field. I will then establish that the surreal

numbers contain the real numbers and the ordinals.