Philosophy of Logical Systems

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A01=Jaroslav Peregrin
arguments
Artificial Language
artificial language philosophy
Author_Jaroslav Peregrin
Bare Language
basic sentential operators
Category=CFA
Category=CFG
Category=QDTL
Classical Propositional Calculus
Correct Arguments
disjunction
Elimination Rules
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eq_dictionaries-language-reference
eq_isMigrated=1
eq_isMigrated=2
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expressive power
extensional denotational semantics
extensions
following-from
formal language
formal semantics
formal systems philosophical analysis
Gentzenian logical calculi
Higher Order Logic
Hilbertian logical calculi
Inferential Role
Intuitionistic Logic
Intuitionistic Propositional Logic
Jaroslav Peregrin
Logical Calculi
Logical Constants
logical laws
logical symbols
logical systems
material soundness
Modal Propositional Logic
modern logic
natural language
Natural Language Arguments
Natural Language Expressions
Natural Language Sentence
negation
PA
philosophy of logic
predicate calculus
Predicate Logic
proof theory
propositional calculus
Propositional Logic
quantification
sentential operators
soundness
Standard Predicate Logic
syntax
Truth Functional Semantics
Unary Predicate
Valid Logical Forms
Vice Versa

Product details

  • ISBN 9780367405632
  • Weight: 226g
  • Dimensions: 152 x 229mm
  • Publication Date: 14 Nov 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

Jaroslav Peregrin is the research professor at the Department of Logic of the Institute of Philosophy of the Czech Academy of Sciences and a professor at the Faculty of Philosophy of the University of Hradec Králové, Czechia. He is the author of Doing Worlds with Words (1995), Meaning and Structure (Ashgate, 2001), Inferentialism (2014) and Reflective Equilibrium and the Principles of Logical Analysis (together with V. Svoboda; Routledge, 2017). His current research focuses on logical and philosophical aspects of inferentialism and on more general questions of normativity.

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