Arithmetic and ontology : : a non-realist philosophy of arithmetic /

Arithmetic and ontology : : a non-realist philosophy of arithmetic / / Philip Hugly and Charles Sayward ; edited by Pieranna Garavaso.

This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, id est, the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely k...

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Bibliographic Details
Superior document:Poznań studies in the philosophy of the sciences and the humanities, Monographs-in-debate v. 90.
:
Hugly, Philip.
TeilnehmendeR:
Sayward, Charles.
Garavaso, Pieranna.
Place / Publishing House:Amsterdam : : Rodopi,, 2006.
Year of Publication:2006
Language:English
Series:Poznań Studies in the Philosophy of the Sciences and the Humanities 90.
Physical Description:1 online resource (393 pages).
Notes:
  • Includes commentaries by Colin Cheyne, Sanford Shieh, and Jean Paul Van Bendegen and replies by the authors to the commentaries.
  • Includes index.
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Table of Contents:
  • Preliminary Material / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • ACKNOWLEDGMENTS / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • EDITOR’S INTRODUCTION / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • ARITHMETIC AND ONTOLOGY: A NON-REALIST PHILOSOPHY OF ARITHMETIC
  • ANALYTICAL TABLE OF CONTENTS / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • INTRODUCTION / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • NOTES TO GRUNDLAGEN / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • OBJECTIVISM AND REALISM IN FREGE’S PHILOSOPHY OF ARITHMETIC / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • THE PEANO AXIOMS / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • EXISTENCE, NUMBER, AND REALISM / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • ARITHMETIC AND NECESSITY / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • ARITHMETIC AND RULES / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • THESIS ONE / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • THESIS TWO / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • THESIS THREE / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • REFERENCES / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • NUMBERS, REFERENCE, AND ABSTRACTION / Colin Cheyne
  • WHAT IS NON-REALISM ABOUT ARITHMETIC? / Sanford Shieh
  • NON-REALISM, NOMINALISM AND STRICT FINITISM THE SHEER COMPLEXITY OF IT ALL / Jean Paul Van Bendegem
  • REPLIES TO COMMENTARIES
  • ABOUT THE CONTRIBUTORS / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • INDEX / Philip Hugly , Charles Sayward and Pieranna Garavaso
  • POZNAŃ STUDIES / Philip Hugly , Charles Sayward and Pieranna Garavaso.

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