History of Logic and Semantics

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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: This volume pays homage to the historian of logic Angel d’Ors (1951-2012), by bringing together a set of studies that together illuminate the complex historical development of logic and semantics. Two main traditions, Aristotelian and terminist, are showcased to demonstrate the changes and confrontations that constitute this history, and a number of different authors and texts, from the Boethian reception of Aristotle to the post-medieval terminism, are discussed. Special topics dealt with include the medieval reception of ancient logic; technical tools for the medieval analysis of language; the medieval theory of consequence; the medieval practice of disputation and sophisms; and the post-medieval refinement of the terminist tools. Contributors are E.J. Ashworth, Allan Bäck, María Cerezo, Sten Ebbesen, José Miguel Gambra, C.H. Kneepkens, Kalvin Normore, Angel d’Ors, Paloma Pérez-Ilzarbe, Stephen Read, Joke Spruyt, Luisa Valente, and Mikko Yrjönsuuri. These articles were also published in Vivarium, Volume 53, Nos. 2-4 (2015).

The Cartesian Semantics of the Port Royal Logic

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Publisher : Routledge
ISBN 13 : 1351249185
Total Pages : 253 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 253 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.

Logic, Semantics, Metamathematics

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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:

Logical Form

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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.

The Semantic Conception of Logic

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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.

Symbolic Logic

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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.

The Foundations of Philosophical Semantics

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Publisher : Princeton University Press
ISBN 13 : 1400886465
Total Pages : 253 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Foundations of Philosophical Semantics by : John L. Pollock

Download or read book The Foundations of Philosophical Semantics written by John L. Pollock and published by Princeton University Press. This book was released on 2017-03-14 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although philosophical semantics has become both a discipline in its own right and the source of the analytic techniques used in the rest of philosophy, its foundations have themselves been problematic. To provide a unified account of the field, John L. Pollock discusses issues including the nature of possible worlds, modalities, counterfactuals, and causation. Originally published in 1985. 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.

Semantics and Truth

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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).

Words of Power

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Publisher : Routledge
ISBN 13 : 1000737179
Total Pages : 297 pages
Book Rating : 4.0/5 (7 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 Routledge. This book was released on 2019-11-04 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1990. A common complaint of philosophers, and men in general, has been that women are illogical. On the other hand, rationality, defined as the ability to follow logical argument, is often claimed to be a defining characteristic of man. Andrea Nye undermines assumptions such as: logic is unitary, logic is independent of concrete human relations, logic transcends historical circumstances as well as gender. In a series of studies of the logics of historical figures Parmenides, Plato, Aristotle, Zeno, Abelard, Ockham, and Frege she traces the changing interrelationships between logical innovation and oppressive speech strategies, showing that logic is not transcendent truth but abstract forms of language spoken by men, whether Greek ruling citizens, imperial administrators, church officials, or scientists. She relates logical techniques, such as logical division, syllogisms, and truth functions, to ways in which those with power speak to and about those subject to them. She shows, in the specific historical settings of Ancient and Hellenistic Greece, medieval Europe, and Germany between the World Wars, how logicians reworked language so that dialogue and reciprocity are impossible and one speaker is forced to accept the words of another. In the personal, as well as confrontative style of her readings, Nye points the way to another power in the words of women that might break into and challenge rational discourses that have structured Western thought and practice.

Objects and Modalities

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Publisher : Springer
ISBN 13 : 3319531190
Total Pages : 217 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Objects and Modalities by : Tero Tulenheimo

Download or read book Objects and Modalities written by Tero Tulenheimo and published by Springer. This book was released on 2017-03-14 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a novel generalization of possible world semantics, called ‘world line semantics’, which recognizes worlds and links between world-bound objects (world lines) as mutually independent aspects of modal semantics. Addressing a wide range of questions vital for contemporary debates in logic and philosophy of language and offering new tools for theoretical linguistics and knowledge representation, the book proposes a radically new paradigm in modal semantics. This framework is motivated philosophically, viewing a structure of world lines as a precondition of modal talk. The author provides a uniform analysis of quantification over individuals (physical objects) and objects of thought (intentional objects). The semantic account of what it means to speak of intentional objects throws new light on accounts of intentionality and singular thought in the philosophy of mind and offers novel insights into the semantics of intensional transitive verbs.

Meaning and Necessity

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Publisher : University of Chicago Press
ISBN 13 : 0226093476
Total Pages : 266 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Meaning and Necessity by : Rudolf Carnap

Download or read book Meaning and Necessity written by Rudolf Carnap and published by University of Chicago Press. This book was released on 1988-02-15 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is valuable as expounding in full a theory of meaning that has its roots in the work of Frege and has been of the widest influence. . . . The chief virtue of the book is its systematic character. From Frege to Quine most philosophical logicians have restricted themselves by piecemeal and local assaults on the problems involved. The book is marked by a genial tolerance. Carnap sees himself as proposing conventions rather than asserting truths. However he provides plenty of matter for argument."—Anthony Quinton, Hibbert Journal

Philosophy of Logic

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Publisher : Elsevier
ISBN 13 : 008046663X
Total Pages : 1219 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Philosophy of Logic by :

Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter

Language, Logic, and Mathematics in Schopenhauer

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Publisher : Springer Nature
ISBN 13 : 3030330907
Total Pages : 318 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Language, Logic, and Mathematics in Schopenhauer by : Jens Lemanski

Download or read book Language, Logic, and Mathematics in Schopenhauer written by Jens Lemanski and published by Springer Nature. This book was released on 2020-06-08 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.

Introduction to Semantics and Formalization of Logic

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Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Introduction to Semantics and Formalization of Logic by : Rudolf Carnap

Download or read book Introduction to Semantics and Formalization of Logic written by Rudolf Carnap and published by . This book was released on 1961 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic from Russell to Church

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Publisher : Elsevier
ISBN 13 : 0080885470
Total Pages : 1069 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Logic from Russell to Church by : Dov M. Gabbay

Download or read book Logic from Russell to Church written by Dov M. Gabbay and published by Elsevier. This book was released on 2009-06-16 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.• The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights

Logic with a Probability Semantics

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Publisher : Rowman & Littlefield
ISBN 13 : 1611460107
Total Pages : 124 pages
Book Rating : 4.6/5 (114 download)

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Book Synopsis Logic with a Probability Semantics by : Theodore Hailperin

Download or read book Logic with a Probability Semantics written by Theodore Hailperin and published by Rowman & Littlefield. This book was released on 2011 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word "sentential" in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential connectives ("no," "and," "or," etc.) but not including quantifiers ("for all," "there is"). An initial introduction presents an overview of the book. In chapter one, Halperin presents a summary of results from his earlier book, some of which extends into this work. It also contains a novel treatment of the problem of combining evidence: how does one combine two items of interest for a conclusion-each of which separately impart a probability for the conclusion-so as to have a probability for the conclusion basedon taking both of the two items of interest as evidence? Chapter two enlarges the Probability Logic from the first chapter in two respects: the language now includes quantifiers ("for all," and "there is") whose variables range over atomic sentences, notentities as with standard quantifier logic. (Hence its designation: ontological neutral logic.) A set of axioms for this logic is presented. A new sentential notion-the suppositional-in essence due to Thomas Bayes, is adjoined to this logic that later becomes the basis for creating a conditional probability logic. Chapter three opens with a set of four postulates for probability on ontologically neutral quantifier language. Many properties are derived and a fundamental theorem is proved, namely, for anyprobability model (assignment of probability values to all atomic sentences of the language) there will be a unique extension of the probability values to all closed sentences of the language. The chapter concludes by showing the Borel's early denumerableprobability concept (1909) can be justified by its being, in essence, close to Hailperin's probability result applied to denumerable language. The final chapter introduces the notion of conditional-probability to a language having quantifiers of the kind

Alfred Tarski: Philosophy of Language and Logic

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Author :
Publisher : Springer
ISBN 13 : 0230367224
Total Pages : 273 pages
Book Rating : 4.2/5 (33 download)

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Book Synopsis Alfred Tarski: Philosophy of Language and Logic by : Douglas Patterson

Download or read book Alfred Tarski: Philosophy of Language and Logic written by Douglas Patterson and published by Springer. This book was released on 2012-02-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study looks to the work of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all of the major issues in Tarski scholarship in light of the conception of Intuitionistic Formalism developed: semantics, truth, paradox, logical consequence.