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The Logic of Entailment and Its History

The Logic of Entailment and Its History
Author: Edwin David Mares
Publisher:
Total Pages: 0
Release: 2024
Genre: Entailment (Logic)
ISBN: 9781009375276

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"This book provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. Its fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic"--


The Logic of Entailment and its History

The Logic of Entailment and its History
Author: Edwin Mares
Publisher: Cambridge University Press
Total Pages: 282
Release: 2024-01-31
Genre: Mathematics
ISBN: 1009375296

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What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.


Entailment

Entailment
Author: Alan Ross Anderson
Publisher:
Total Pages: 749
Release: 1992
Genre: Entailment (Logic)
ISBN: 9780691071923

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Relevant Logic

Relevant Logic
Author: Edwin D. Mares
Publisher: Cambridge University Press
Total Pages: 241
Release: 2004-02-26
Genre: Philosophy
ISBN: 0521829232

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This book introduces the reader to relevant logic and provides it with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used ('relevant') in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles (especially implication and negation) and natural language conditionals. The book ends by examining various applications of relevant logic and presenting some interesting open problems.


Logical Relevance in English Evidence Law

Logical Relevance in English Evidence Law
Author: Jan Dejnožka
Publisher: Createspace Independent Publishing Platform
Total Pages: 272
Release: 2019-01-02
Genre: Logic, Modern
ISBN: 9781729844175

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BOOK DESCRIPTION: Logical relevance is an essential feature of evidence for both John Maynard Keynes and Bertrand Russell - and also for the last five centuries of English evidence law. If it is not relevant, it is not evidence. If it is not evidence, it is not relevant. It has been widely held that Keynes himself invented the theory that probability is degree of logical relevance. This book is the first study of the legal origins of Keynes' and Russell's logicist theories of probability. Like Dejnozka's other books, this book upends received thought. Following J. L. Montrose, whom he anthologizes, the legal scholar William Twining denies that some of the great evidence law writers had relevance rules. Dejnozka quotes and discusses the relevance rules of those writers. The Keynes scholar Robert Skidelsky holds that Keynes himself discovered the relation between probability and logical relevance. Dejnozka quotes and discusses that relation as affirmed throughout the last five centuries of English evidence law. Most relevantists were members of the Inner Temple law bar, and Keynes was too. // PRAISE FOR THE BOOK 1: "Jan Dejnozka's Logical Relevance in English Evidence Law innovatively explores the links between the evolution of the Anglo-American law of evidence and the philosophical investigations of Keynes and Russell. He provides a fascinating interdisciplinary examination between two disciplines not ordinarily studied together. Dejnozka's study should be of interest to scholars interested in evidence, regardless of discipline." - Barbara J. Shapiro. // Barbara J. Shapiro is professor emerita of rhetoric at the University of California at Berkeley. Her books include _Beyond Reasonable Doubt and Probable Cause: Historical Perspectives on the Anglo-American Law of Evidence_ (University of California Press) and _Probability and Certainty in Seventeenth-Century England: A Study of the Relationships Between Science, Religion, History, Law, and Literature_ (Princeton University Press). // PRAISE FOR THE BOOK 2: "Dejnozka challenges the reader to open his mind for a new interpretation of Russell's work, in particular that relevance notions have a greater place in his philosophy of logic than has been stressed before. Dejnozka's work is full of material which stimulates one to rethink Russell's philosophy of logic, and it is greatly to the author's credit that he brings to light such a wealth of crucial issues in the history and philosophy of logic." - Shahid Rahman. // Shahid Rahman is exceptional professor of logic and epistemology at the Université de Lille 3 (Charles de Gaulle). He was Director (for the French side) of the du ANR-DFG Franco-German project 2012-2015 (Lille (MESHS)/Konstanz, Prof M. Armgardt): Théorie du Droit et Logique / Jurisprudenz und Logik. His recent papers include "Conditionals and Legal Reasoning: Elements of a Logic of Law," HAL 2017 (with Bernadette Dango), and "Unfolding Parallel Reasoning in Islamic Jurisprudence: Epistemic and Dialectical Meaning in Abū Ishāq al-Shīrāzī's System of Co-Relational Inferences of the Occasioning Factor," Cambridge Journal of Arabic Sciences and Philosophy 2018 (with Muhammad Iqbal). // PRAISE FOR THE BOOK 3: "I have spent my career researching the role of relevance in logic, and I found this book highly "relevant." It points out the profound role that English evidence law had in influencing two of the founders of probability theory and logic, Keynes and Russell. It is well written and very interesting. -J. Michael Dunn. // J. Michael Dunn is professor emeritus of computer science and informatics, Oscar Ewing professor emeritus of philosophy, and founding dean emeritus of the School of Informatics at Indiana University. He was a co-editor of _Entailment: The Logic of Relevance and Necessity_, volume 2 (Princeton University Press).


The Logical Legacy of Nikolai Vasiliev and Modern Logic

The Logical Legacy of Nikolai Vasiliev and Modern Logic
Author: Vladimir Markin
Publisher: Springer
Total Pages: 221
Release: 2017-11-21
Genre: Philosophy
ISBN: 3319661620

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This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ontology. Chapters range from a look at the Heuristic and Conceptual Background of Vasiliev's Imaginary Logic to Generalized Vasiliev-style Propositions. It includes works which cover Imaginary and Non-Aristotelian Logics, Inconsistent Set Theory and the Expansion of Mathematical Thinking, Plurivalent Logic, and the Impact of Vasiliev's Imaginary Logic on Epistemic Logic. The Russian logician, Vasiliev, was widely recognized as one of the forerunners of modern non-classical logic. His "imaginary logic" developed in some of his work at the beginning of 20th century is often considered to be one of the first systems of paraconsistent and multi-valued logic. The novelty of his logical project has opened up prospects for modern logic as well as for non-classical science in general. This volume contains a selection of papers written by modern specialists in the field and deals with various aspects of Vasiliev's logical ideas. The logical legacy of Nikolai Vasiliev can serve as a promising source for developing an impressive range of philosophical interpretations, as it marries promising technical innovations with challenging philosophical insights.


The Formalization of Dialectics

The Formalization of Dialectics
Author: Elena Ficara
Publisher: Taylor & Francis
Total Pages: 137
Release: 2023-12-01
Genre: Philosophy
ISBN: 1003813720

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This book explores the relationship between Hegel’s dialectics and formal logic. It examines the concept of dialectics, its meaning, and its use in contemporary thought. The volume opens the “old” debate about the formalization of Hegel’s dialectics and is motivated by the idea that asking about the connection between Hegel’s dialectics and formal logic is still relevant, for various reasons: Firstly, a new Hegel is circulating nowadays in the philosophical literature, with specific reference to Hegel’s dialectical logic and its relation to the history and philosophy of logic. Secondly, new research about the connection between contradictory logical systems and Hegel's dialectics is also being developed. Finally, there have been recent confirmations that the concept of dialectics is of general interest, and that the usual perplexities about the Hegelian triadic and fairly mechanic device of ‘yes, not, and not not’ are in remission. The chapters feature philosophically and historically motivated presentations of formal features of Hegel’s dialectics, critical considerations about the very idea of ‘formalizing dialectics’ and presentations of past attempts to formalize Hegel’s dialectics. The Formalization of Dialectics will be a key resource for scholars and researchers of the history and philosophy of logic and Hegel’s dialectics. It will also be of interest to anyone who wants to know more about the concept of dialectics, its meaning and its use in contemporary thought. This book was originally published as a special issue of History and Philosophy of Logic.


Topics in the logic of relevance

Topics in the logic of relevance
Author: Manuel Richard Diaz
Publisher:
Total Pages: 257
Release: 1979
Genre: Relevance (Philosophy)
ISBN:

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Logic of Historical Explanation

Logic of Historical Explanation
Author: Clayton Roberts
Publisher: Penn State Press
Total Pages: 342
Release: 2010-11-01
Genre: History
ISBN: 9780271042992

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In this book the author provides a key to understanding the role of covering laws in historical explanation. He does so by distinguishing between their use at the macro - and micro- levels, a distinction that no other scholar has made. He then sets forth the logic of an explanatory narrative, explores the nature of rational explanation, and distinguishes the logic of historical interpretation from the logic of historical explanation.


Entailment, Vol. II

Entailment, Vol. II
Author: Alan Ross Anderson
Publisher: Princeton University Press
Total Pages: 778
Release: 2017-03-14
Genre: Philosophy
ISBN: 1400887070

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In spite of a powerful tradition, more than two thousand years old, that in a valid argument the premises must be relevant to the conclusion, twentieth-century logicians neglected the concept of relevance until the publication of Volume I of this monumental work. Since that time relevance logic has achieved an important place in the field of philosophy: Volume II of Entailment brings to a conclusion a powerful and authoritative presentation of the subject by most of the top people working in the area. Originally the aim of Volume II was simply to cover certain topics not treated in the first volume--quantification, for example--or to extend the coverage of certain topics, such as semantics. However, because of the technical progress that has occurred since the publication of the first volume, Volume II now includes other material. The book contains the work of Alasdair Urquhart, who has shown that the principal sentential systems of relevance logic are undecidable, and of Kit Fine, who has demonstrated that, although the first-order systems are incomplete with respect to the conjectured constant domain semantics, they are still complete with respect to a semantics based on "arbitrary objects." Also presented is important work by the other contributing authors, who are Daniel Cohen, Steven Giambrone, Dorothy L. Grover, Anil Gupta, Glen Helman, Errol P. Martin, Michael A. McRobbie, and Stuart Shapiro. Robert G. Wolf's bibliography of 3000 items is a valuable addition to the volume. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.