Samuel Alfaro Tanuwijaya: Introduction to surreal numbers

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


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.

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