Sean Walsh – The aims of arithmetization and the analysis of number in Kronecker, Weierstrass, and Frege
The Montreal Inter-University Workshop on the History and Philosophy
of Mathematics presents:
Sean Walsh (UC Irvine):
The aims of arithmetization and the analysis of number
in Kronecker, Weierstrass, and Frege
Friday, November 1, 2013
McGill University, Leacock Building, Room 927. 4:00-5:30pm
Abstract: Late 19th Century philosophy of mathematics is renown for
both the program of arithmetization and various attempts to define or
characterize the natural number concept. What were the goals of
arithmetization in the eyes of practioners such as Kronecker,
Weierstrass, and Frege, and in what ways did these goals constrain or
motivate the attempt to define or characterize the number concept?
Focusing even on this small subset of thinkers (and some related
figures), the variety of answers that one finds to these most basic
questions is surprisingly large. While the chief goal of this talk is
conceptual clarification, a subsidiary aim is to better chart the
various lines of historical influence.
For more information, please contact:Gregory Lavers (Concordia),
Mathieu Marion (UQÀM), Jean-Pierre Marquis (UdM), Dirk Schlimm (McGill).