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The Priority of Propositions. A Pragmatist Philosophy of Logic

Part of the Synthese Library Book Series (volume 475)

DOI: 10.1007/978-3-031-25229-7

ISBN: 978-3-031-25228-0

Publisher: Springer International Publishing - Springer Journals

Feb 23, 2023

1 - 10 of 11 Chapters

Available

Pragmatism and Metaphysics: The General Background

Frápolli, María José

Pages: 3 –28

[In this introductory chapter, I set out the background against which the theses and arguments of the rest of this book must be understood. I explain my (minimal) version of pragmatism, and how I use the central concepts that this book is about. My inspiration has been some claims defended or...
Available

Groundbreaking Principles

Frápolli, María José

Pages: 29 –51

[Several principles shape the pragmatist take on logic that I will defend in this book. The essential four are the Principle of Assertion (PA), the Principle of Propositional Priority (PPP), the Principle of Grammar Superseding (PGS), and the Principle of Inferential Individuation (PII). (PA)...
Available

Semantic and Pragmatic Hints in Frege’s Logical Theory

Frápolli, María José

Pages: 53 –76

[Frege is the acclaimed father of twentieth-century logic and at the same time the father of the discipline philosophy of language. Both of these paternities arise from a unique and general project grounded on a profound understanding of the many linguistic and conceptual subtleties that govern...
Available

Implying, Precluding, and Quantifying Over: Frege’s Logical Expressivism

Frápolli, María José

Pages: 79 –101

[There are 16 bivalent binary truth functions, but only two fundamental logical relations between propositions: implying and precluding. In addition, some higher-level concepts express the scope and nature of inferential relations. In this chapter, I will explain Frege’s treatment of these two...
Available

Lessons from Inferentialism and Invariantism

Frápolli, María José

Pages: 103 –123

[In this chapter, I explain what is at issue in the debate on the meaning of the logical constants, exposing some weaknesses of the standard way in which logicians approach this subject. I present and discuss the two families of proposals that have been most successful: invariantism, which...
Available

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

Frápolli, María José

Pages: 125 –148

[In this chapter, I discuss an informed pragmatist proposal for characterising the class of logical constants, which I call ‘the inference-marker view’. It includes syntactic, semantic, and pragmatic aspects, all of them essential to the task that ultimately defines logical terms as expressive...
Available

Grue, Tonk, and Russell’s Paradox: What Follows from the Principle of Propositional Priority?

Frápolli, María José

Pages: 151 –174

[In this chapter, the structural connections between three paradoxes—Goodman’s ‘grue’, Prior’s ‘tonk’, and Russell’s—are traced. It is argued that none of them arises in a context in which the Principle of Propositional Priority holds. To derive them, a strong hypothesis is needed: that all...
Available

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

Frápolli, María José

Pages: 175 –198

[Informal Logic and Argumentation Theory claim to accept a sense of ‘argument’ that is broader than the sense used in classical logic and mainstream philosophy of language. In this allegedly more general sense, pictures, sounds, gestures, maps, etc. can be premises of arguments, even if...
Available

Truth and Satisfaction: Frege Versus Tarski

Frápolli, María José

Pages: 199 –220

[In this chapter I discuss the philosophical presuppositions and consequences of Tarski’s and Frege’s approaches to truth. Tarski’s is the most successful theory of truth ever proposed. Nevertheless, there are serious doubts about the actual effect of its technical details and, above all, about...
Available

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

Frápolli, María José

Pages: 221 –249

[Truth is not one of a kind. Philosophers have widely assumed that truth is mysterious, intractable, troublesome, or else, trivial and redundant. I argue here that none of these alternatives is true. The only sense in which truth is unique is in the treatment that philosophers give to it. On the...

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