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From Logic to Practice Italian Studies in the Philosophy of Mathematics

This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the phil...

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Bibliographic Details
Other Authors: Lolli, Gabriele (Editor), Panza, Marco (Editor), Venturi, Giorgio (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2015, 2015
Edition:1st ed. 2015
Series:Boston Studies in the Philosophy and History of Science
Subjects:
Mathematical Logic
Knowledge, Theory Of
Science / Philosophy
Epistemology
Mathematical Logic And Foundations
Philosophy Of Science
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • PART I: THE HISTORICAL DIMENSION OF MATHEMATICS
  • Chapter 1: A Geometrical Constructive Approach to Infinitesimal Analysis: Epistemological Potential and Boundaries of Tractional Motion; Pietro Milici
  • Chapter 2: Plane and Solid Geometry: A Note on Purity of Methods; Paolo Mancosu and Andrew Arana
  • Chapter 3: Formalization and Intuition in Husserl's Raumbuch; Edoardo Caracciolo
  • PART II: LOOKING AT MATHEMATICS THROUGH LOGIC
  • Chapter 4: Frege's Grundgesetze and a Reassessment of Predicativity; Francesca Boccuni
  • Chapter 5: A Deflationary Account of the Truth of the Gödel Sentence G; Mario Piazza and Gabriele Pulcini
  • Chapter 6: Rule-following and the Limits of Formalization: Wittgenstein's Considerations Through the Lens of Logic; Paolo Pistone
  • Chapter 7: Paradox and Inconsistency: Revising Tennant's Distinction Through Schroeder-Heister's Assumption Rules; Luca Tranchini
  • Chapter 8: Costructability and Geometry; Alberto Naibo
  • Chapter 9: A Cut-like Inference in a Framework of Explicit Composition for Various Calculi of Natural Deduction; Michael Arndt and Laura Tesconi
  • Chapter 10: On the Distinction Between Sets and Classes: A Categorical Perspective; Samuele Maschio
  • PART III: PHILOSOPHY AND MATHEMATICS
  • Chapter 11: Structure and Applicability; Michele Ginammi
  • Chapter 12: Defending Maddy's Mathematical Naturalism from Roland's Criticism: The Role of Mathematical Depth; Marina Imocrante
  • Chapter 13: On the Indispensable Premises of the Indispensability Argument; Marco Panza and Andrea Sereni
  • Chapter 14: Naturalness in Mathematics: On the Statical-dynamical Opposition; Luca San Mauro and Giorgio Venturi
  • Chapter 15: An Inquiry Into the Practice of Proving in Low-dimensional Topology; Silvia de Toffoli and Valeria Giardino

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