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Truth, Existence and Explanation

FilMat 2016 Studies in the Philosophy of Mathematics

  • Mario Piazza
  • Gabriele Pulcini

Part of the Boston Studies in the Philosophy and History of Science book series (BSPS, volume 334)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Truth and Expressiveness

    1. Front Matter
      Pages 1-1
    2. Enrico Moriconi
      Pages 3-15
    3. Johannes Stern
      Pages 17-38
    4. Carlo Nicolai
      Pages 39-55
    5. Jaroslav Peregrin
      Pages 57-70
    6. D. Bonnay, H. Galinon
      Pages 71-88
  3. Structures, Existence, and Explanation

About this book

Introduction

This book contains more than 15 essays that explore issues in truth, existence, and explanation. It features cutting-edge research in the philosophy of mathematics and logic.

Renowned philosophers, mathematicians, and younger scholars provide an insightful contribution to the lively debate in this interdisciplinary field of inquiry. The essays look at realism vs. anti-realism as well as inflationary vs. deflationary theories of truth. The contributors also consider mathematical fictionalism, structuralism, the nature and role of axioms, constructive existence, and generality. In addition, coverage also looks at the explanatory role of mathematics and the philosophical relevance of mathematical explanation.

The book will appeal to a broad mathematical and philosophical audience. It contains work from FilMat, the Italian Network for the Philosophy of Mathematics. These papers collected here were also presented at their second interna
tional conference, held at the University of Chieti-Pescara, May 2016. 

Keywords

Ontology and Structures in Mathematical Theories Explanation in Mathematics Mathematical Truth Indispensability Arguments Arithmetical Systems Mathematical explanation classical and non-classical logics Kreisel's Conception of Informal Rigour Church-Turing Thesis deflationary theories of truth

Editors and affiliations

  • Mario Piazza
    • 1
  • Gabriele Pulcini
    • 2
  1. 1.Classe di Lettere e FilosofiaScuola Normale SuperiorePisaItaly
  2. 2.Department of MathematicsUniversidade Nova de LisboaCaparicaPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-93342-9
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Religion and Philosophy
  • Print ISBN 978-3-319-93341-2
  • Online ISBN 978-3-319-93342-9
  • Series Print ISSN 0068-0346
  • Series Online ISSN 2214-7942
  • Buy this book on publisher's site