The Residual Access Problem

Abstract

A range of current truth-value realist philosophies of mathematics allow one to reduce the Benacerraf Problem to a problem concerning mathematicians' ability to recognize which conceptions of pure mathematical structures are coherent – in a sense which can be cashed out in terms of logical possibility. In this paper I will clarify what it takes to solve this `residual' access problem and then present a framework for solving it.

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Sharon Berry
Indiana University, Bloomington

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References found in this work

The concept of logical consequence.John Etchemendy - 1990 - Cambridge, Mass.: Harvard University Press.
What is the Benacerraf Problem?Justin Clarke-Doane - 2017 - In Fabrice Pataut Jody Azzouni, Paul Benacerraf Justin Clarke-Doane, Jacques Dubucs Sébastien Gandon, Brice Halimi Jon Perez Laraudogoitia, Mary Leng Ana Leon-Mejia, Antonio Leon-Sanchez Marco Panza, Fabrice Pataut Philippe de Rouilhan & Andrea Sereni Stuart Shapiro (eds.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity (Fabrice Pataut, Editor). Springer.
The possibility of knowledge.Quassim Cassam - 2007 - Grazer Philosophische Studien 74 (1):125-141.
The Possibility of Knowledge.Quassim Cassam (ed.) - 2007 - Oxford, GB: Oxford University Press.

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