History Of Logic And Semantics

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History of Logic and Semantics

Author :
Publisher : BRILL
ISBN 13 : 9004324275
Total Pages : 322 pages
Book Rating : 4.0/5 (43 download)

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Book Synopsis History of Logic and Semantics by :

Download or read book History of Logic and Semantics written by and published by BRILL. This book was released on 2017-01-09 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: History of Logic and Semantics offers a collection of studies on the development of the Aristotelian and terminist approaches to language, from the Boethian reception of Aristotle to the post-medieval terminism. These articles were also published in Vivarium, Volume 53, Nos. 2-4 (2015).

Logic, Semantics, Metamathematics

Author : Alfred Tarski
Publisher : Hackett Publishing
ISBN 13 : 9780915144761
Total Pages : 542 pages
Book Rating : 4.1/5 (447 download)

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Book Synopsis Logic, Semantics, Metamathematics by : Alfred Tarski

Download or read book Logic, Semantics, Metamathematics written by Alfred Tarski and published by Hackett Publishing. This book was released on 1983-01-01 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Semantic Conception of Logic

Author : Gil Sagi
Publisher : Cambridge University Press
ISBN 13 : 1108529828
Total Pages : 316 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis The Semantic Conception of Logic by : Gil Sagi

Download or read book The Semantic Conception of Logic written by Gil Sagi and published by Cambridge University Press. This book was released on 2021-09-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.

Logic & Natural Language

Author : Hanoch Ben-Yami
Publisher : Routledge
ISBN 13 : 1351921525
Total Pages : 160 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Logic & Natural Language by : Hanoch Ben-Yami

Download or read book Logic & Natural Language written by Hanoch Ben-Yami and published by Routledge. This book was released on 2019-09-16 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frege's invention of the predicate calculus has been the most influential event in the history of modern logic. The calculus’ place in logic is so central that many philosophers think, in fact, of it when they think of logic. This book challenges the position in contemporary logic and philosophy of language of the predicate calculus claiming that it is based on mistaken assumptions. Ben-Yami shows that the predicate calculus is different from natural language in its fundamental semantic characteristics, primarily in its treatment of reference and quantification, and that as a result the calculus is inadequate for the analysis of the semantics and logic of natural language. Ben-Yami develops both an alternative analysis of the semantics of natural language and an alternative deductive system comparable in its deductive power to first order predicate calculus but more adequate than it for the representation of the logic of natural language. Ben-Yami's book is a revolutionary challenge to classical first order predicate calculus, casting doubt on many of the central claims of modern logic.

Semantics - Foundations, History and Methods

Author : Klaus Heusinger
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110393344
Total Pages : 533 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Semantics - Foundations, History and Methods by : Klaus Heusinger

Download or read book Semantics - Foundations, History and Methods written by Klaus Heusinger and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Get to grips with the fundamentals of semantics research. Written by a team of world-class experts, this book introduces the subject for a broad audience of linguists, cognitive scientists, philosophers, and computer scientists. It explores the core concepts of sentential semantics and includes sections on questions, imperatives, copular clauses, and existential sentences. It also features essential research on sentence types, and explains central concepts in the theory of information structure and discourse structure. Now in paperback for the first time since its original publication, the material in this modern classic is an ideal resource for anyone involved in semantics research.

Formal Semantics and Logic

Author : Bas C. Van Fraassen
Publisher : New York : Macmillan Company
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Formal Semantics and Logic by : Bas C. Van Fraassen

Download or read book Formal Semantics and Logic written by Bas C. Van Fraassen and published by New York : Macmillan Company. This book was released on 1971 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Studies on the History of Logic and Semantics, 12th-17th Centuries

Author : Gabriël Nuchelmans
Publisher : Variorum Publishing
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Studies on the History of Logic and Semantics, 12th-17th Centuries by : Gabriël Nuchelmans

Download or read book Studies on the History of Logic and Semantics, 12th-17th Centuries written by Gabriël Nuchelmans and published by Variorum Publishing. This book was released on 1996 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together the studies by the late Gabriel Nuchelmans (1922-96) on the history of logic and semantics from the 12th to the 17th century. They exemplify his conviction that the study of problems of modern analytical philosophy can help in understanding the authors of earlier centuries - and that the study of earlier solutions can stimulate modern discussions. The first articles deal with medieval theories of the proposition and predication; the final section is concerned with Renaissance philosophy, from Lorenzo Valla to Locke.

Semantics and Truth

Author : Jan Woleński
Publisher : Springer Nature
ISBN 13 : 3030245365
Total Pages : 392 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Semantics and Truth by : Jan Woleński

Download or read book Semantics and Truth written by Jan Woleński and published by Springer Nature. This book was released on 2020-01-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).

Logic: A History of its Central Concepts

Author : Dov M. Gabbay
Publisher : Newnes
ISBN 13 : 0080931707
Total Pages : 708 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Logic: A History of its Central Concepts by : Dov M. Gabbay

Download or read book Logic: A History of its Central Concepts written by Dov M. Gabbay and published by Newnes. This book was released on 2012-12-31 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning

Logical Form

Author : Andrea Iacona
Publisher : Springer
ISBN 13 : 3319741543
Total Pages : 139 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Logical Form by : Andrea Iacona

Download or read book Logical Form written by Andrea Iacona and published by Springer. This book was released on 2018-01-28 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.

Handbook of Logic and Language

Author : J. van Benthem
Publisher : Elsevier
ISBN 13 : 0080533086
Total Pages : 1273 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Logic and Language by : J. van Benthem

Download or read book Handbook of Logic and Language written by J. van Benthem and published by Elsevier. This book was released on 1996-12-11 with total page 1273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality.

Historical Dictionary of Logic

Author : Harry J. Gensler
Publisher : Scarecrow Press
ISBN 13 : 9780810855311
Total Pages : 360 pages
Book Rating : 4.8/5 (553 download)

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Book Synopsis Historical Dictionary of Logic by : Harry J. Gensler

Download or read book Historical Dictionary of Logic written by Harry J. Gensler and published by Scarecrow Press. This book was released on 2006 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Historical Dictionary of Logic contains a dictionary section of more than 300 entries on persons, concepts, theories, forms of logic, fields in which logic is used, and the many fallacies that can trap the unwary. It includes entries on historical periods and figures, including ancient logic, medieval logic, Buddhist logic, Aristotle, Ockham, Boole, Frege, Russell, Godel, and Quine. It also includes information on propositional logic, modal logic, deontic logic, temporal logic, set theory, many-valued logic, mereology, and para-consistent logic. A substantial chronology lists the main events in the history of logic, and an introduction sketches the central ideas and their evolution. The bibliography provides a broad range of additional reading."--BOOK JACKET.

Propositional Logics

Author : Richard L. Epstein
Publisher :
ISBN 13 : 9780983452164
Total Pages : 510 pages
Book Rating : 4.4/5 (521 download)

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Book Synopsis Propositional Logics by : Richard L. Epstein

Download or read book Propositional Logics written by Richard L. Epstein and published by . This book was released on 2012-06-01 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Propositional Logics presents the history, philosophy, and mathematics of the major systems of propositional logic. Classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and dependent implication are examined in separate chapters. Each begins with a motivation in the originators' own terms, followed by the standard formal semantics, syntax, and completeness theorem. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations of the logics. The view that unifies the exposition is that propositional logics comprise a spectrum. As the aspect of propositions under consideration varies, the logic varies. Each logic is shown to fall naturally within a general framework for semantics. A theory of translations between logics is presented that allows for further comparisons, and necessary conditions are given for a translation to preserve meaning. For this third edition the material has been re-organized to make the text easier to study, and a new section on paraconsistent logics with simple semantics has been added which challenges standard views on the nature of consequence relations. The text includes worked examples and hundreds of exercises, from routine to open problems, making the book with its clear and careful exposition ideal for courses or individual study.

Introduction To Mathematical Logic (Extended Edition)

Author : Michal Walicki
Publisher : World Scientific Publishing Company
ISBN 13 : 9814719986
Total Pages : 304 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Introduction To Mathematical Logic (Extended Edition) by : Michal Walicki

Download or read book Introduction To Mathematical Logic (Extended Edition) written by Michal Walicki and published by World Scientific Publishing Company. This book was released on 2016-08-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.

The Cartesian Semantics of the Port Royal Logic

Author : John N. Martin
Publisher : Routledge
ISBN 13 : 1351249177
Total Pages : 216 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis The Cartesian Semantics of the Port Royal Logic by : John N. Martin

Download or read book The Cartesian Semantics of the Port Royal Logic written by John N. Martin and published by Routledge. This book was released on 2019-11-04 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out for the first time in English and in the terms of modern logic the semantics of the Port Royal Logic (La Logique ou l’Art de penser, 1662-1685) of Antoine Arnauld and Pierre Nicole, perhaps the most influential logic book in the 17th and 18th centuries. Its goal is to explain how the Logic reworks the foundation of pre-Cartesian logic so as to make it compatible with Descartes’ metaphysics. The Logic’s authors forged a new theory of reference based on the medieval notion of objective being, which is essentially the modern notion of intentional content. Indeed, the book’s central aim is to detail how the Logic reoriented semantics so that it centered on the notion of intentional content. This content, which the Logic calls comprehension, consists of an idea’s defining modes. Mechanisms are defined in terms of comprehension that rework earlier explanations of central notions like conceptual inclusion, signification, abstraction, idea restriction, sensation, and most importantly within the Logic’s metatheory, the concept of idea-extension, which is a new technical concept coined by the Logic. Although Descartes is famous for rejecting "Aristotelianism," he says virtually nothing about technical concepts in logic. His followers fill the gap. By putting to use the doctrine of objective being, which had been a relatively minor part of medieval logic, they preserve more central semantic doctrines, especially a correspondence theory of truth. A recurring theme of the book is the degree to which the Logic hews to medieval theory. This interpretation is at odds with what has become a standard reading among French scholars according to which this 16th-century work should be understood as rejecting earlier logic along with Aristotelian metaphysics, and as putting in its place structures more like those of 19th-century class theory.

Words of Power

Author : Andrea Nye
Publisher : Other
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Words of Power by : Andrea Nye

Download or read book Words of Power written by Andrea Nye and published by Other. This book was released on 1990 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is logic masculine? Is women's lack of interest in the "hard core" philosophical disciplines of formal logic and semantics symptomatic of an inadequacy linked to sex? Is the failure of women to excel in pure mathematics and mathematical science a function of their inability to think rationally?

Symbolic Logic

Author : David W. Agler
Publisher : Rowman & Littlefield
ISBN 13 : 1442217421
Total Pages : 397 pages
Book Rating : 4.4/5 (422 download)

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Book Synopsis Symbolic Logic by : David W. Agler

Download or read book Symbolic Logic written by David W. Agler and published by Rowman & Littlefield. This book was released on 2013 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.