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Boston Studies in the Philosophy and History of Science

Truth, Existence and Explanation

FilMat 2016 Studies in the Philosophy of Mathematics

Editors: Piazza, Mario, Pulcini, Gabriele (Eds.)

  • Covers a host of intriguing issues concerning the three key notions of existence, truth, and explanation 
  • Features cutting-edge research from renowned philosophers, mathematicians, and younger scholars
  • Offers an insightful contribution to the lively debate in this interdisciplinary field of inquiry
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-93342-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-93341-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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 international conference, held at the University of Chieti-Pescara, May 2016. 

About the authors

Mario Piazza is Full Professor of Logic and Philosophy of Mathematics at the Scuola Normale Superiore of Pisa. Previously, he has been Full Professor at University of Chieti-Pescara. He studied philosophy at the University of Rome and received his Ph.D. in Philosophy of Science from the University of Genoa in 1995. He was a post doc researcher in the Department of Mathematics at the University of Warsaw (1995-96), in the Utrecht Institute of Linguistics (OTS) (1997-98), in the Département d'Informatique at École Normale Supérieure of Paris (2000). His main results and interests are in proof-theory and its applications, computation theory, philosophy of logic and mathematics, epistemology.

Gabriele Pulcini is a postdoctoral researcher at the Department of Mathematics of the New University of Lisbon. He worked as postdoctoral fellow in many academic institutions, including the Department of Computer Science at the École Normale Supérieure of Paris and the Centre for Logic, Epistemology and History of Science (State University of Campinas, Brazil). He obtained his PhD at the University of Rome 3 and the University of Aix-Marseille 2, jointly. His fields of research and interest range from the proof theory of classical and non-classical logics to the philosophy of logic, as well as the philosophy of mathematics. He is author of many research papers appeared in the most important journals in the field such as the Annals of Pure and Applied Logic and the Journal of Logic and Computation. Since 2012, he is member of the Italian Network for the Philosophy of Mathematics.


Table of contents (14 chapters)

  • Some Remarks on True Undecidable Sentences

    Moriconi, Enrico

    Pages 3-15

  • Penrose’s New Argument and Paradox

    Stern, Johannes

    Pages 17-38

  • On Expressive Power Over Arithmetic

    Nicolai, Carlo

    Pages 39-55

  • Intensionality in Mathematics

    Peregrin, Jaroslav

    Pages 57-70

  • Deflationary Truth Is a Logical Notion

    Bonnay, D. (et al.)

    Pages 71-88

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-93342-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-93341-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Truth, Existence and Explanation
Book Subtitle
FilMat 2016 Studies in the Philosophy of Mathematics
Editors
  • Mario Piazza
  • Gabriele Pulcini
Series Title
Boston Studies in the Philosophy and History of Science
Series Volume
334
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-93342-9
DOI
10.1007/978-3-319-93342-9
Hardcover ISBN
978-3-319-93341-2
Series ISSN
0068-0346
Edition Number
1
Number of Pages
XII, 272
Number of Illustrations
29 b/w illustrations
Topics