Series: Penn State Logic Seminar
Date: Tuesday, November 14, 2000
Time: 2:30 - 3:20 PM
Place: 307 Boucke Building
Speaker: Emily Grosholz, Philosophy Department, Penn State
Title: The Irreducibility of Shape: Mathematical Intuition Reconsidered
Abstract:
Just as Dedekind could not reduce the line to a set of points without
assuming the availability of the line, so Descartes could not
construct curves from straight line segments without assuming the
availability of curves. I will argue for the irreducibility and
canonicity of certain kinds of geometrical shape, and critically
examine the motives of philosophers who have tried to reduce it to
other things.