Consequence Relations
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Consequence Relations
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Author : Alex Citkin
language : en
Publisher: Oxford University Press
Release Date : 2022-06-30
Consequence Relations written by Alex Citkin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-30 with Young Adult Nonfiction categories.
The publication of Rasiowa and Sikorski's The Mathematics of Metamathematics (1970), Rasiowa's An Algebraic Approach to Non-Classical Logics (1974), and Wójcicki's Theory of Logical Calculi (1988) created a niche in the field of mathematical and philosophical logic. This in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, fills this niche. Citkin and Muravitsky consider the problem of obtaining confirmation that a statement is a consequence of a set of statements as prerequisites, on the one hand, and the problem of demonstrating that such confirmation does not exist in the structure under consideration, on the other hand. For the second part of this problem, the concept of the Lindenbaum-Tarski algebra plays a key role, which becomes even more important when the considered consequence relation is placed in the context of decidability. This role is traced in the book for various formal objective languages. The work also includes helpful exercises to aid the reader's assimilation of the book's material. Intended for advanced undergraduate and graduate students in mathematics and philosophy, this book can be used to teach special courses in logic with an emphasis on algebraic methods, for self-study, and also as a reference work.
Consequence Relations
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Author : Alex Citkin
language : en
Publisher: Oxford University Press
Release Date : 2022
Consequence Relations written by Alex Citkin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Young Adult Nonfiction categories.
An in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, intended for advanced undergraduate and graduate students in mathematics and philosophy, as well as researchers in the field of mathematical and philosophical logic.
Similarity Based Consequence Relations
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Author :
language : es
Publisher:
Release Date : 1995*
Similarity Based Consequence Relations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995* with categories.
A General Theory Of Structured Consequence Relations
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Author : Dov M. Gabbay
language : en
Publisher:
Release Date : 1991
A General Theory Of Structured Consequence Relations written by Dov M. Gabbay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Logical Pluralism And Logical Consequence
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Author : Erik Stei
language : en
Publisher: Cambridge University Press
Release Date : 2023-03-30
Logical Pluralism And Logical Consequence written by Erik Stei and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-30 with Philosophy categories.
Logical pluralism is the view that there is more than one correct logic. This is not necessarily a controversial claim but in its most exciting formulations, pluralism extends to logics that have typically been considered rival accounts of logical consequence – to logics, that is, which adopt seemingly contradictory views about basic logical laws or arguments. The logical pluralist challenges the philosophical orthodoxy that an argument is either deductively valid or invalid by claiming that there is more than one way for an argument to be valid. In this book, Erik Stei defends logical monism, provides a detailed analysis of different possible formulations of logical pluralism, and offers an original account of the plurality of correct logics that incorporates the benefits of both pluralist and monist approaches to logical consequence. His book will be valuable for a range of readers in the philosophy of logic.
Foundations Of Logical Consequence
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Author : Colin R. Caret
language : en
Publisher: OUP Oxford
Release Date : 2015-05-14
Foundations Of Logical Consequence written by Colin R. Caret and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-14 with Philosophy categories.
Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.
Simple Consequence Relations
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Author : Arnon Avron
language : en
Publisher:
Release Date : 1987
Simple Consequence Relations written by Arnon Avron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Logic categories.
Theory Of Graded Consequence
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Author : Mihir Kumar Chakraborty
language : en
Publisher: Springer
Release Date : 2019-07-22
Theory Of Graded Consequence written by Mihir Kumar Chakraborty and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-22 with Philosophy categories.
This book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.
Janusz Czelakowski On Logical Consequence
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Author : Jacek Malinowski
language : en
Publisher: Springer Nature
Release Date :
Janusz Czelakowski On Logical Consequence written by Jacek Malinowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Automated Reasoning
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Author : Jasmin Blanchette
language : en
Publisher: Springer Nature
Release Date : 2022
Automated Reasoning written by Jasmin Blanchette and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Automatic theorem proving categories.
This is an open access book. It is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.