Reflective Equilibrium and the Principles of Logical Analysis
Reflective Equilibrium and the Principles of Logical Analysis

Author: Jaroslav Peregrin

Publisher: Routledge

Published: 2017-02-10

Total Pages: 193

ISBN-13: 1315453916

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This book offers a comprehensive account of logic that addresses fundamental issues concerning the nature and foundations of the discipline. The authors claim that these foundations can not only be established without the need for strong metaphysical assumptions, but also without hypostasizing logical forms as specific entities. They present a systematic argument that the primary subject matter of logic is our linguistic interaction rather than our private reasoning and it is thus misleading to see logic as revealing "the laws of thought". In this sense, fundamental logical laws are implicit to our "language games" and are thus more similar to social norms than to the laws of nature. Peregrin and Svoboda also show that logical theories, despite the fact that they rely on rules implicit to our actual linguistic practice, firm up these rules and make them explicit. By carefully scrutinizing the project of logical analysis, the authors demonstrate that logical rules can be best seen as products of the so called reflective equilibrium. They suggest that we can profit from viewing languages as "inferential landscapes" and logicians as "geographers" who map them and try to pave safe routes through them. This book is an essential resource for scholars and researchers engaged with the foundations of logical theories and the philosophy of language.

Reflective Equilibrium and the Principles of Logical Analysis
Reflective Equilibrium and the Principles of Logical Analysis

Author: Jaroslav Peregrin

Publisher: Routledge

Published: 2017

Total Pages: 0

ISBN-13: 9781138210967

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10.3 Mapping Inferential Neighbourhoods -- 11 The Landscape of Natural Language -- 11.1 Is the Mapping Simile Viable? -- 11.2 Rules of Inference in Natural Language -- 11.3 Logical Languages as Maps -- 11.4 Compositionality -- References -- Name Index -- Subject Index

Philosophy of Logical Systems
Philosophy of Logical Systems

Author: Jaroslav Peregrin

Publisher: Routledge

Published: 2019-11-11

Total Pages: 188

ISBN-13: 1000727084

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This book addresses the hasty development of modern logic, especially its introducing and embracing various kinds of artificial languages and moving from the study of natural languages to that of artificial ones. This shift seemed extremely helpful and managed to elevate logic to a new level of rigor and clarity. However, the change that logic underwent in this way was in no way insignificant, and it is also far from an insignificant matter to determine to what extent the "new logic" only engaged new and more powerful instruments to answer the questions posed by the "old" one, and to what extent it replaced these questions with new ones. Hence, this movement has generated brand new kinds of philosophical problems that have still not been dealt with systematically. Philosophy of Logical Systems addresses these new kinds of philosophical problems that are intertwined with the development of modern logic. Jaroslav Peregrin analyzes the rationale behind the introduction of the artificial languages of logic; classifies the various tools which were adopted to build such languages; gives an overview of the various kinds of languages introduced in the course of modern logic and the motifs of their employment; discusses what can actually be achieved by relocating the problems of logic from natural language into them; and reaches certain conclusions with respect to the possibilities and limitations of this "formal turn" of logic. This book is both an important scholarly contribution to the philosophy of logic and a systematic survey of the standard (and not so standard) logical systems that were established during the short history of modern logic.

Dynamics, Uncertainty and Reasoning
Dynamics, Uncertainty and Reasoning

Author: Beishui Liao

Publisher: Springer

Published: 2019-07-23

Total Pages: 212

ISBN-13: 981137791X

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This volume collects selected papers presented at the Second Chinese Conference on Logic and Argumentation in 2018 held in Hangzhou, China. The papers presented reflect recent advances in logic and argumentation, as well as the connections between the two, and also include invited papers contributed by leading experts in these fields. The book covers a wide variety of topics related to dynamics, uncertainty and reasoning. It continues discussions on the interplay between logic and argumentation which has a long history from Aristotle’s ancient logic to very recent formal argumentation in AI.

Applying Reflective Equilibrium
Applying Reflective Equilibrium

Author: Tanja Rechnitzer

Publisher: Springer Nature

Published: 2022-07-01

Total Pages: 276

ISBN-13: 3031043332

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This open access book provides the first explicit case study for an application of the method of reflective equilibrium (RE), using it to develop and defend a precautionary principle. It thereby makes an important and original contribution to questions of philosophical method and methodology. The book shows step-by-step how RE is applied, and develops a methodological framework which will be useful for everyone who wishes to use reflective equilibrium. With respect to precautionary principles, the book demonstrates how a rights-based precautionary principle can be constructed and defended. The case study succeeds in demonstrating that RE can be successfully applied and puts real constraints on the justification process. This is all the more remarkable as the case study was designed as an open-ended process, without presupposing any specific results. This book will be highly relevant both to people interested in philosophical methodology and epistemology, as well as to researchers who are interested in using philosophical methods and tools and applying them to practical problems.

From Rules to Meanings
From Rules to Meanings

Author: Ondřej Beran

Publisher: Routledge

Published: 2018-01-31

Total Pages: 358

ISBN-13: 1351595512

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Inferentialism is a philosophical approach premised on the claim that an item of language (or thought) acquires meaning (or content) in virtue of being embedded in an intricate set of social practices normatively governed by inferential rules. Inferentialism found its paradigmatic formulation in Robert Brandom’s landmark book Making it Explicit, and over the last two decades it has established itself as one of the leading research programs in the philosophy of language and the philosophy of logic. While Brandom’s version of inferentialism has received wide attention in the philosophical literature, thinkers friendly to inferentialism have proposed and developed new lines of inquiry that merit wider recognition and critical appraisal. From Rules to Meaning brings together new essays that systematically develop, compare, assess and critically react to some of the most pertinent recent trends in inferentialism. The book’s four thematic sections seek to apply inferentialism to a number of core issues, including the nature of meaning and content, reconstructing semantics, rule-oriented models and explanations of social practices and inferentialism’s historical influence and dialogue with other philosophical traditions. With contributions from a number of distinguished philosophers—including Robert Brandom and Jaroslav Peregrin—this volume is a major contribution to the philosophical literature on the foundations of logic and language.

The Problem of Plurality of Logics
The Problem of Plurality of Logics

Author: Pavel Arazim

Publisher: Bloomsbury Publishing

Published: 2021-08-12

Total Pages: 208

ISBN-13: 1350146765

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As the foundation of our rationality, logic has traditionally been considered fixed, stable and constant. This conception of the discipline has been challenged recently by the plurality of logics and in this book, Pavel Arazim extends the debate to offer a new view of logic as dynamic and without a definite, specific shape. The Problem of Plurality of Logics examines the origins of our standard view of logic alongside Kant's theories, the holistic view, the issue of logic's pragmatic significance and Robert Brandom's logical expressivism. Arazim then draws on proof-theoretical approaches to present a convincing argument for a dynamic version of logical inferentialism, which opens space for a new freedom to modify our own logic. He explores the scope, possibilities and limits of this freedom in order to highlight the future paths logic could take, as a motivation for further research. Marking a departure from logical monism and also from the recent doctrine of logical pluralism in its various forms, this book addresses current debates concerning the expressive role of logic and contributes to a lively area of discussion in analytic philosophy.

Diagrammatic Representation and Inference
Diagrammatic Representation and Inference

Author: Peter Chapman

Publisher: Springer

Published: 2018-06-07

Total Pages: 835

ISBN-13: 331991376X

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This book constitutes the refereed proceedings of the 10th International Conference on the Theory and Application of Diagrams, Diagrams 2018, held in Edinburgh, UK, in June 2018. The 26 revised full papers and 28 short papers presented together with 32 posters were carefully reviewed and selected from 124 submissions. The papers are organized in the following topical sections: generating and drawing Euler diagrams; diagrams in mathematics; diagram design, principles and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; Peirce and existential graphs; and logic and diagrams.

Normative Species
Normative Species

Author: Jaroslav Peregrin

Publisher: Taylor & Francis

Published: 2023-10-20

Total Pages: 251

ISBN-13: 1000989097

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This book is about rules, and especially about human capability to create, maintain and follow rules, as a root of what makes us humans different from other animals. The leading idea is that scrutinizing this capability is able to tell us who we humans are and what kinds of lives we live. It elaborates Wilfrid Sellars' visionary observation that "to say that man is a rational animal, is to say that man is a creature not of habits, but of rules"; and it builds on the ideas of Sellars' and Brandom's inferentialism, in a novel naturalistic way. The main tenet of inferentialism is that our language games are essentially rule-governed and that meanings are inferential roles. Jaroslav Peregrin sees the task of reconciliation of inferentialism and naturalism as centered around the problem of naturalization of rules. He argues that the most primitive form of a rule is a cluster of normative attitudes. We humans are specific by our tendency assume peculiar attitudes to what we do, and to do so in a specific way, which turns the attitudes into "normative" ones. This self-reflective structure characterizes our ability to build systems of interconnected rules, which have come to constitute our natural niche. Furthermore, Peregrin shows how our most important system of rules—that constitutive of our language—helped to lead us to our current position of rule-following, ultra-social, rational, and discursive creatures. Normative Species will be of interest to scholars and advanced students working in philosophy of language, philosophy of mind, social ontology, cultural evolution, and cognitive science.