Abstraction: Philosophy and Mathematics \;
Summer school and workshop
University of Oslo\, 22 - 24 May 2014
Organized by Salvatore Florio and Ø\;ystein Linnebo
THEME
According to Frege\, the notion of abstraction has a central role to play in a philosophical \;account of classical mathematics. For instance\, Frege regarded the direction of a line as \;somehow "abstracted from" the line in question\, governed by the principle that the \;direction of one line is identical with the direction of another just in case the former line is \;
parallel with the latter. Principles of this form are known as abstraction principles and \;play a central role in the neo-Fregean abstractionist programme initiated by Bob Hale and \;Crispin Wright. \;
\; \; \;This combined summer school and workshop aims to take stock of the abstractionist \;programme after three decades of intensive philosophical and technical study\, as well as \;to make progress on some questions that have recently received much attention\, such as \;the metaontology of abstraction and the variety of responses to the bad company \;problem\, including the possibility of a more "dynamic" approach to abstraction (recently \;advocated by Ø\;ystein Linnebo\, James Studd\, and others)\, which sees abstraction as a \;process whereby ever greater domains of abstracta are "generated".
SPEAKERS
\nFrancesca Boccuni\, Sean Ebels-Duggan\, Matti Eklund\, Bob Hale\, Graham Leach-Krouse\, Ø\;ystein Linnebo\, Jonathan Payne\, Agustí\;n Rayo\, \;Stewart Shapiro\, James Studd\, Sean Walsh\, Crispin Wright

\nFUNDING
\nThis event is made possible by the generous support of Kansas State University and the \;University of Oslo. \;
\nSCHEDULE
\n
THURSDAY\, MAY 22 \;
9:15 &ndash\; 9:30: Welcome
9:30 &ndash\; 11:00: Tutorial on the state of the art and metaontology of abstraction by Matti Eklund and Bob Hale
11:15 &ndash\; 12:30: Jonathan Payne\, "Neo-Fregeanism and Quantifier Variance"
Lunch
1:30 &ndash\; 2:45: Ø\;ystein Linnebo\, "Recarving of Content"
3:00 &ndash\; 4:15: Matti Eklund\, "Neo-Fregeanism and Obstacles to Existence"
4:30 &ndash\; 5:45: \;Graham Leach-Krouse\, "Structural Abstraction Principles"
7:00: Dinner
FRIDAY\, MAY 23 \;
10 - 11: Tutorial on abstraction beyond arithmetic by Stewart Shapiro
11:15 &ndash\; 12:30: Francesca Boccuni\, "A Theory for Fregean Concepts and Objects"
Lunch
1:30 &ndash\; 2:45: Bob Hale\, "Definition by Abstraction"
3:00 &ndash\; 4:15: \;Sean Ebels-Duggan and Sean Walsh\, "Relative Categoricity of Abstraction Principles"
4:30 &ndash\; 5:45: \;Crispin Wright\, "What Was Frege's Mistake?"
7:00: Dinner
SATURDAY\, MAY 24 \;
9.30 &ndash\; 11.00: Tutorial on bad company and dynamic abstraction by Ø\;ystein Linnebo and James Studd
11.15 &ndash\; 12.30: Stewart Shapiro\, "Intuitionistic Frege's Theorem"
Lunch
1.30 &ndash\; 2.45: James Studd\, "Abstraction Reconceived"
3.00 &ndash\; 4.15: Agustí\;n Rayo\, "Compositionalism"
For any questions\, please contact Salvatore Florio at \;florio@ksu.edu