Colloquium Vladimir Kanovei (MIIT)

When:
November 21, 2014 @ 3:30 pm – 4:30 pm
2014-11-21T15:30:00-10:00
2014-11-21T16:30:00-10:00
Where:
Keller 401

Title: Surreal numbers and nonstandard analysis: foundations of
infinitesimal calculus.

Speaker: Vladimir Kanovei
Inst. for the Information Transmission Problems of RAS, and
Moscow State University of Railway Engineering (MIIT) (Moscow)

Abstract: A system of foundations of infinitesimal calculus will be proposed and
discussed.
The system is based on two class-size models, including
1) the surreal numbers, and
2) the Kanovei-Shelah set-size-saturated limit ultrapower model.
Some historical remarks will be made, and some related problems will be
discussed, too.