Reconciling Nominalism and Platonism in the Philosophy of Mathematics

April 22, 2016 - April 23, 2016
Department of Philosophy, Columbia University

716 Philosophy Hall
1150 Amsterdam Avenue
New York 10027
United States

Organisers:

Marco Panza
Université Paris 1 Panthéon-Sorbonne
Achille Varzi
Columbia University

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FRIDAY APRIL 22 (Philosophy Hall, Room 716)

14:00–14:15
Achille Varzi (Columbia University), Marco Panza (IHPST)
Welcome and Introduction

14:15-15:45
John Burgess (Princeton University)
Reconciling Anti-Nominalism and Anti-Platonism in the Philosophy of Mathematics

15:45–16:00 Break

16:00-17:30
Haim Gaifman (Columbia University)
Reconfiguring the Problem: "Platonism" as Objective, Evidence-transcendent Truth

17:30-19:00
Sébastien Gandon (Université Blaise Pascal)
Describing What One is Doing. A Philosophy of Action Based View of Mathematical Objectivity


SATURDAY, APRIL 23 (Philosophy Hall, Room 716)
9:30–11:00
Mirna Džamonja (University of East Anglia and IHPST)
An Unreasonable Effectiveness of ZFC Set Theory at the Singular Cardinals

11:00–11:30 Break

11:30–13:00
Hartry Field (New York University)
Platonism, Indispensability, Conventionalism

13:00–15:00 Lunch

15:00-16:30
Justin Clarke-Doane (Columbia University)
The Benacerraf Problem in Broader Perspective

16:30–17:00 Break

17:00-18:30
Michele Friend (George Washington University)
Is the Pluralist Reconciliation between Nominalism and Platonism too Easy?

18:30 Conclusions

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