Meaning in Dialogue: An Interactive Approach to Logic and Reasoning

New York: Springer (2016)
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Abstract

This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning. This is both a continuation, and a substantial modification, of an inferentialist approach to logic. As such, the book not only provides a critical introduction to the inferentialist view, but it also provides an argument that this shift in perspective has deep and foundational consequences for how we understand the nature of logic and its relationship with meaning and reasoning. This has been upheld by several technical results, including, for example a novel approach to logical paradox and logical revision, and an account of the internal justification of logical rules. The book shows that inferentialism is greatly strengthened, such that it can answer the most stringent criticisms of the view. This leads to a view of logic that emphasizes the dynamics of reasoning, provides a novel account of the justification and normativity of logical rules, thus leading to a new, attractive approach to the foundations of logic. The book addresses readers interested in philosophy of language, philosophical and mathematical logic, theories of reasoning, and also those who actively engage in current debates involving, for example, logical revision, and the relationship between logic and reasoning, from advanced undergraduates, to professional philosophers, mathematicians, and linguists.

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Chapters

Inferentialism and Its Discontents

A perennial question in consideration of logic concerns where the rules of logic come from? This question is overflowing with sub-questions regarding, for example, what is meant by the rules of logic; whether or not we are concerned with the justification of rules, or the meaningfulness of certain r... see more

Paradox, Paraconsistency and Logical Revision

This chapter suggests that the approach suggested to this point provides a novel approach to understanding logical paradoxes. In particular, I argue that what is typically thought to be captured by paraconsistency and paracompleteness is best understood as a form of epistemological instability that ... see more

Introduction: Reasoning in Time and Space

How do we use language to represent the world? It hardly needs stating that there is an intimate relationship between meaning, logic, and reason. Yet, increasingly, the standard approach to semantics has come under fire in the same moment as the nature of logic itself has been questioned.

Rules in Dialogue

This chapter returns to some of the foundational issues discussed in the introduction and first chapter, particularly regarding the justification of logical rules. In Chaps. 1 and 2, I argued that standard inferentialist accounts do not suffice to provide justification of basic logical rules. In res... see more

Structuring Interactions

In this chapter, I first consider mode standard constructive semantic approaches to the formal propositional logics for proofs and refutations. Whilst these illuminate aspects of the structure of interactive logic, they also highlight the shortcomings of standard semantics, even in dualised form. No... see more

Naturalization, Normativity, and Ethics

In this, concluding, chapter, I suggest a number of ways in which the view of logic suggested here can be broadly considered in relation to other theories of reasoning.

Dialogue and Refutation

In this chapter, I provide an overview and argument to the effect that reasoning, including scientific and mathematical inquiry, is inherently both dialogical and dynamic. That is to say, reasoning is social and interactive, and requires an account of history that is not captured by an absolutist an... see more

Proof and Assertion

In this chapter, I shed light on the issues raised in the above chapter by providing an overview of the concepts of proof and assertion, both of which are central to inferentialist approaches to semantics. In so doing, I shall argue that, in contrast to the prescriptive and monological approach to l... see more

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James Trafford
University For The Creative Arts

Citations of this work

Dialogical logic.Laurent Keiff - 2010 - Stanford Encyclopedia of Philosophy.
Conditionals in Interaction.James Trafford - 2017 - Studia Humana 6 (1):39-49.

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