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The Priority of Propositions. A Pragmatist Philosophy of Logic

  • Book
  • © 2023

Overview

Authors:
  1. María José Frápolli

    1. Department of Philosophy I, University of Granada, Campus Cartuja, Spain

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  • Introduces a powerful conceptual framework that integrates contemporary logics
  • Offers an unexplored explanation of how the Fregean priority of propositions stands
  • Presents a novel path for returning contemporary logic to the practical hands of human agents

Part of the book series: Synthese Library (SYLI, volume 475)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. The Pragmatist Basis

    1. Front Matter

      Pages 1-1
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    2. Pragmatism and Metaphysics: The General Background

      • María José Frápolli
      Pages 3-28

    3. Groundbreaking Principles

      • María José Frápolli
      Pages 29-51

    4. Semantic and Pragmatic Hints in Frege’s Logical Theory

      • María José Frápolli
      Pages 53-76

  3. Logical Constants

    1. Front Matter

      Pages 77-77
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    2. Implying, Precluding, and Quantifying Over: Frege’s Logical Expressivism

      • María José Frápolli
      Pages 79-101

    3. Lessons from Inferentialism and Invariantism

      • María José Frápolli
      Pages 103-123

    4. The Inference-Marker View of Logical Notions: What a Pragmatist Proposal Looks Like

      • María José Frápolli
      Pages 125-148

  4. Further Applications of Propositional Priority

    1. Front Matter

      Pages 149-149
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    2. Grue, Tonk, and Russell’s Paradox: What Follows from the Principle of Propositional Priority?

      • María José Frápolli
      Pages 151-174

    3. Visual Arguments: What Is at Issue in the Multimodality Debate?

      • María José Frápolli
      Pages 175-198

    4. Truth and Satisfaction: Frege Versus Tarski

      • María José Frápolli
      Pages 199-220

    5. Truth Ascriptions as Prosentences: Further Lessons of the Principle of Propositional Priority

      • María José Frápolli
      Pages 221-249

  5. Correction to: The Priority of Propositions. A Pragmatist Philosophy of Logic

    • María José Frápolli
    Pages C1-C1

  6. Back Matter

    Pages 251-255
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Keywords

About this book

This monograph is a defence of the Fregean take on logic. The author argues that Frege´s projects, in logic and philosophy of language, are essentially connected and that the formalist shift produced by the work of Peano, Boole and Schroeder and continued by Hilbert and Tarski is completely alien to Frege's approach in the Begriffsschrift. A central thesis of the book is that judgeable contents, i.e. propositions, are the primary bearers of logical properties, which makes logic embedded in our conceptual system. This approach allows coherent and correct definitions of logical constants, logical consequence, and truth and connects their use to the practices of rational agents in science and everyday life.

Authors and Affiliations

  • Department of Philosophy I, University of Granada, Campus Cartuja, Spain

    María José Frápolli

About the author

María J. Frápolli is a Professor of Logic and Philosophy of Science at the Department of Philosophy I, University of Granada (Spain). From 2006 to 2012, she held the presidency of the Society of Logic, Methodology and Philosophy of Science in Spain. Currently, she chairs the Spanish Society for Women in Philosophy (Analytic). From 2015 to 2017, Prof. Frápolli held a Marie-Skłodowska-Curie grant at the Department of Philosophy, University College London and, from 2017 to 2020, was Honorary Professor in the same department. She has worked on the philosophy of language, logic, and mathematics, always from a pragmatist and naturalist standpoint. Some of her books are the following. As author: The Nature of Truth. An Updated Approach to the Meaning of Truth Ascriptions, Springer (2013). As editor: Expressivisms, Knowledge and Truth, Cambridge University Press, (2019); Saying, Meaning, and Referring: Essays on François Recanati’s Philosophy of Language, Houndmills, Basingstoke, Hampshire (UK), Palgrave Studies in Pragmatics, Language and Cognition (2007); and F. P. Ramsey. Critical Reassessments. London (UK), Continuum Studies in British Philosophy, (2005).

Bibliographic Information

  • Book Title: The Priority of Propositions. A Pragmatist Philosophy of Logic

  • Authors: María José Frápolli

  • Series Title: Synthese Library

  • DOI: https://doi.org/10.1007/978-3-031-25229-7

  • Publisher: Springer Cham

  • eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-25228-0Published: 23 February 2023

  • Softcover ISBN: 978-3-031-25231-0Published: 24 February 2024

  • eBook ISBN: 978-3-031-25229-7Published: 22 February 2023

  • Series ISSN: 0166-6991

  • Series E-ISSN: 2542-8292

  • Edition Number: 1

  • Number of Pages: XXIV, 255

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Logic, Semantics, Mathematical Logic and Foundations

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