Benacerraf and his Critics / Edition 1

Benacerraf and his Critics / Edition 1

by Adam Morton
     
 

Paul Benacerraf has dominated the philosophy of mathematics in the past 25 years. Arguments derived from Benacerraf's analyses of the concept of number and the tension between the epistemology and the semantics of matematics are widespread in the rest of philosophy, particulary the philosophy of langauge and metaphysics.

This volume contains ten original essays

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Overview

Paul Benacerraf has dominated the philosophy of mathematics in the past 25 years. Arguments derived from Benacerraf's analyses of the concept of number and the tension between the epistemology and the semantics of matematics are widespread in the rest of philosophy, particulary the philosophy of langauge and metaphysics.

This volume contains ten original essays discussing Benacerrafian themes within and outside the philosophy of mathematics, and a new essay, "What mathematical truth could not be" by Benaceraff. Within the philosophy of mathematics the essays discuss the perennial appeal of Platonism in the philosophy of mathematics, the indeterminacy of mathematical ontology, and the legacy of the logicism of Frege and Russell. More general topics discussed include the concept of truth, indeterminacy arguments in ontology, and the status of stipulation in human knowledge.

Contributors include Paul Benacerraf, George Boolos, John Earman and John Norton, Richard Grandy, Jerrold Katz, Penelope Maddy, Adam Morton, Richard Jeffrey, Robert Stalnaker, Mark Steiner and Steven Wagner.

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Product Details

ISBN-13:
9780631192688
Publisher:
Wiley
Publication date:
08/14/1996
Series:
Philosophers and their Critics Series
Pages:
288
Product dimensions:
6.42(w) x 9.47(h) x 1.02(d)

Table of Contents

Introduction.

Part I: Platonism and Mathematical Truth:.

What Mathematical Truth Could Not Be: Paul Benacerraf (Princeton University).

The Legacy of Mathematical Truth: Penelope Maddy (University of California at Irvine).

Prospects of Platonism: Steven J Wagner (University of Illinois at Urbana).

Part II: Interdeterminacy Arguments:.

On What Possible Words Could Not be: Robert Stalnaker ( Massachusetts Institute of Technology).

Skolemite Skepticism and Interdeterminacy Arguments: Jerrold J Katz (City University of New York).

On the Proof of Frege's Theorem: George Boolos (Massachusetts Institute of Technology).

Logicism 2000: Richard Jeffrey (Princeton University).

Part III: Mathematics and Language:.

Shadows of Remembered Ancestors: Mathematics and the Epitome of Story-Telling: Richard Grandy (Rice University).

Wittgenstein, Regularities, and Rules: Mark Steiner (Hebrew University).

Mathematics as Language: Adam Morton (University of Bristol).

Part IV: Infinity: .

Infinite Pains: the Trouble with Supertasks: John Earman & John D. Norton (University of Pittsburgh).

Bibliography of Paul Benacerraf to 1995.

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