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Algebraic Semantics In Language And Philosophy
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Book Synopsis Algebraic Semantics in Language and Philosophy by : Godehard Link
Download or read book Algebraic Semantics in Language and Philosophy written by Godehard Link and published by Stanford Univ Center for the Study. This book was released on 1998-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of the structural properties of collections or pluralities, homogeneous objects like water, and the semantics and philosophy of events.
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
Book Synopsis Algebraic Methods in Philosophical Logic by : J. Michael Dunn
Download or read book Algebraic Methods in Philosophical Logic written by J. Michael Dunn and published by OUP Oxford. This book was released on 2001-06-28 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily for logisticians in mathematics, philosophy, computer science and linguistics with an interest in algebraic logic, but is also accessible to those from a non-logistics background. It is suitable for researchers, graduates and advanced undergraduates who have an introductory knowledge of algebraic logic providing more advanced concepts, as well as more theoretical aspects. The main theme is that standard algebraic results (representations) translate into standard logical results (completeness). Other themes involve identification of a class of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and tonoids. An imporatant sub title is that logic is fundamentally information based, with its main elements being propositions, that can be understood as sets of information states. Logics are considered in various senses e.g. systems of theorems, consequence relations and, symmetric consequence relations.
Book Synopsis Logic and Implication by : Petr Cintula
Download or read book Logic and Implication written by Petr Cintula and published by Springer Nature. This book was released on 2022-01-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.
Book Synopsis Parts of a Whole by : Lucas Champollion
Download or read book Parts of a Whole written by Lucas Champollion and published by Oxford University Press. This book was released on 2017-03-09 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses mathematical models of language to explain why there are certain gaps in language: things that we might expect to be able to say but can't. For instance, why can we say I ran for five minutes but not *I ran all the way to the store for five minutes? Why is five pounds of books acceptable, but *five pounds of book not acceptable? What prevents us from saying *sixty degrees of water to express the temperature of the water in a swimming pool when sixty inches of water can express its depth? And why can we not say *all the ants in my kitchen are numerous? The constraints on these constructions involve concepts that are generally studied separately: aspect, plural and mass reference, measurement, and distributivity. In this book, Lucas Champollion provides a unified perspective on these domains, connects them formally within the framework of algebraic semantics and mereology, and uses this connection to transfer insights across unrelated bodies of literature and formulate a single constraint that explains each of the judgments above.
Book Synopsis Philosophy of Logic and Mathematics by : Gabriele M. Mras
Download or read book Philosophy of Logic and Mathematics written by Gabriele M. Mras and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.
Book Synopsis Algebraic Methods in Semantics by : M. Nivat
Download or read book Algebraic Methods in Semantics written by M. Nivat and published by CUP Archive. This book was released on 1985 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which contains contributions from leading researchers in France, USA and Great Britain, gives detailed accounts of a variety of methods for describing the semantics of programming languages, i.e. for attaching to programs mathematical objects that encompass their meaning. Consideration is given to both denotational semantics, where the meaning of a program is regarded as a function from inputs to outputs, and operational semantics, where the meaning includes the sequence of states or terms generated internally during the computation. The major problems considered include equivalence relations between operational and denotational semantics, rules for obtaining optimal computations (especially for nondeterministic programs), equivalence of programs, meaning-preserving transformations of programs and program proving by assertions. Such problems are discussed for a variety of programming languages and formalisms, and a wealth of mathematical tools is described.
Book Synopsis Formal Semantics by : Paul H. Portner
Download or read book Formal Semantics written by Paul H. Portner and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Semantics: The Essential Readings is a collection of seminal papers that have shaped the field of formal semantics in linguistics.
Book Synopsis Inquisitive Semantics by : Ivano Ciardelli
Download or read book Inquisitive Semantics written by Ivano Ciardelli and published by Oxford University Press. This book was released on 2018-12-22 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations. This book presents a new logical framework to capture the meaning of sentences in conversation. The traditional approach equates meaning with truth-conditions: to know the meaning of a sentence is to know under which circumstances it is true. The reason for this is that linguistic and philosophical investigations are usually carried out in a logical framework that was originally designed to characterize valid argumentation. However, argumentation is neither the sole, nor the primary function of language. One task that language more widely and ordinarily fulfils is to enable the exchange of information between conversational participants. In the framework outlined in this volume, inquisitive semantics, information exchange is seen as a process of raising and resolving issues. Inquisitive semantics provides a new formal notion of meaning, which makes it possible to model various concepts that are crucial for the analysis of linguistic information exchange in a more refined and more principled way than has been possible in previous frameworks. Importantly, it also allows an integrated treatment of statements and questions. The first part of the book presents the framework in detail, while the second demonstrates its benefits in the semantic analysis of questions, coordination, modals, conditionals, and intonation. The book will be of interest to researchers and students from advanced undergraduate level upwards in the fields of semantics, pragmatics, philosophy of language, and logic.
Book Synopsis Philosophy of Language and Linguistics by : Piotr Stalmaszczyk
Download or read book Philosophy of Language and Linguistics written by Piotr Stalmaszczyk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-06-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume investigates the legacy of Gottlob Frege, Bertrand Russell and Ludwig Wittgenstein in contemporary philosophy of language and linguistics. These philosophers inspired both the development of analytic philosophy and various philosophical approaches to the study of language. They have influenced technical discussions on truth, proper names, definite descriptions, propositions and predication, sense and reference, truth, and philosophical and linguistic inquiries into the relations between language, mind and the world. The studies gathered in this volume discuss most of these issues and aim to show that the results of this research are still of utmost importance, and that the three philosophers have significantly contributed to the linguistic turn in philosophy and the philosophical turn in the study of language. The volume includes contributions by: Joachim Adler (Zurich), Maria Cerezo (Murcia), Pawel Grabarczyk (Lodz), Arkadiusz Gutt (Lublin), Tom Hughes (Durham), Gabriele Mras (Vienna), Carl Humphries (Cracow), Gary Kemp (Glasgow), Siu-Fan Lee (Hong Kong), Jaroslav Peregrin (Prague), Ulrich Reichard (Durham), Piotr Stalmaszczyk (Lodz), Piotr Szalek (Lublin), Mieszko Talasiewicz (Warsaw).
Book Synopsis The Handbook of Contemporary Semantic Theory by : Shalom Lappin
Download or read book The Handbook of Contemporary Semantic Theory written by Shalom Lappin and published by John Wiley & Sons. This book was released on 2019-02-12 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of The Handbook of Contemporary Semantic Theory presents a comprehensive introduction to cutting-edge research in contemporary theoretical and computational semantics. Features completely new content from the first edition of The Handbook of Contemporary Semantic Theory Features contributions by leading semanticists, who introduce core areas of contemporary semantic research, while discussing current research Suitable for graduate students for courses in semantic theory and for advanced researchers as an introduction to current theoretical work
Book Synopsis Ways of Scope Taking by : A. Szabolcsi
Download or read book Ways of Scope Taking written by A. Szabolcsi and published by Springer Science & Business Media. This book was released on 1997-03-31 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ways of Scope Taking is concerned with syntactic, semantic and computational aspects of scope. Its starting point is the well-known but often neglected fact that different types of quantifiers interact differently with each other and other operators. The theoretical examination of significant bodies of data, both old and novel, leads to two central claims. (1) Scope is a by-product of a set of distinct Logical Form processes; each quantifier participates in those that suit its particular features. (2) Scope interaction is further constrained by the semantics of the interacting operators. The arguments are developed using Minimalist syntax, Generalized Quantify theory, Discourse Representation Theory, and algebraic semantics. The contributors (Beghelli, Ben-Shalom, Doetjes, Farkas, Gutiérrez Rexach, Honcoop, Stabler, Stowell, Szabolcsi and Zwarts) make tightly related theoretical assumptions and focus on related empirical phenomena, which include the direct and inverse scope of quantifiers, distributivity, negation, modal and intensional contexts, weak islands, event-related readings, interrogatives, wh/quantifier interactions, and Hungarian syntax. An introduction to the formal semantics background is provided. Audience: Linguists, philosophers, computational and psycholinguists; advanced undergraduates, graduate students and researchers in these fields.
Book Synopsis The Cambridge Handbook of Formal Semantics by : Maria Aloni
Download or read book The Cambridge Handbook of Formal Semantics written by Maria Aloni and published by Cambridge University Press. This book was released on 2016-07-07 with total page 1239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal semantics - the scientific study of meaning in natural language - is one of the most fundamental and long-established areas of linguistics. This Handbook offers a comprehensive, yet compact guide to the field, bringing together research from a wide range of world-leading experts. Chapters include coverage of the historical context and foundation of contemporary formal semantics, a survey of the variety of formal/logical approaches to linguistic meaning and an overview of the major areas of research within current semantic theory, broadly conceived. The Handbook also explores the interfaces between semantics and neighbouring disciplines, including research in cognition and computation. This work will be essential reading for students and researchers working in linguistics, philosophy, psychology and computer science.
Book Synopsis Boolean Semantics for Natural Language by : Edward L. Keenan
Download or read book Boolean Semantics for Natural Language written by Edward L. Keenan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the spring of 1978, one of the authors of this book was sitting in on a course in logic for linguists given by the other author. In attempting to present some of Montague's insights in an elementary way (hopefully avoid ing the notation which many find difficult at first), the authors began dis cussions aimed towards the construction of a simple model-theoretical semantic apparatus which could be applied directly to a small English-like language and used to illustrate the methods of formal logical interpretation. In these discussions two points impressed themselves on us. First, our task could be simplified by using boolean algebras and boolean homomorphisms in the models; and second, the boolean approach we were developing had much more widespread relevance to the logical structure of English than we first thought. During the summer and fall of 1978 we continued work on the system, proving the more fundamental theorems (including what we have come to call the Justification Theorem) and outlining the way in which an intensional interpretation scheme could be developed which made use of the boolean approach (which was originally strictly extensional). We presented our findings in a monograph (Keenan and Faltz, 1978) which the UCLA Linguistics Department kindly published as part of their series called Occa sional Papers in Linguistics; one of the authors also presented the system at a colloquium held at the Winter Meeting of the Linguistic Society of America in December 1978.
Book Synopsis Plurality and Quantification by : F. Hamm
Download or read book Plurality and Quantification written by F. Hamm and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume address central issues in the study of Plurality and Quantification from three different perspectives: • Algebraic approaches to Plurals and Quantification • Distributivity and Collectivity: Theoretical Foundations • Distributivity and Collectivity: Empirical Investigations Algebraic approaches to the semantics of natural languages were in dependently introduced for the study of generalized quantification, pred ication, intensionality, mass terms and plurality. The most prominent modern advocate for an algebraic theory of plurality (and mass terms) is certainly Godehard Link. It is indicative of the Wirkungsgeschichte of Link's work that most of the contributions in this volume take the logic of plurals proposed by Godehard Link (Link 1983, 1987) as their foundation or, at the very least, as their point of reference. Link's own paper in this volume provides a concise summary of many of the central research issues that have engaged semanticists during the last decade. Link's paper also contains an extensive bibliography that provides an excellent resource for scholars interested in the semantics of plurals. Since we can refer readers to Link's paper for an excellent survey of the subject matter of this book, we will limit our attention in this in troduction to summarizing the individual contributions in this volume. The book is organized into three main sections; within each section the papers are ordered alphabetically. However, as in much of linguistic the orizing, there is an exception: for reasons pointed out above, Godehard Link's article appears as Chapter 1.
Book Synopsis Speaking of Events by : James Higginbotham
Download or read book Speaking of Events written by James Higginbotham and published by Oxford University Press. This book was released on 2000-04-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the idea that an adequate semantics of ordinary language calls for some theory of events has sparked considerable debate among linguists and philosophers. Speaking of Events offers a vivid and up-to-date indication of this debate, with emphasis precisely on the interplay between linguistic applications and philosophical implications. Each chapter has been written expressly for this volume by leading authors in the field, including Nicholas Asher, Pier Marco Bertinetto, Johannes Brandl, Denis Delfitto, Regine Eckardt, James Higginbotham, Alessandro Lenci, Terence Parsons, Alice ter Meulen, and Henk Verkuyl.
Book Synopsis Intermediate Quantities by : Philip Peterson
Download or read book Intermediate Quantities written by Philip Peterson and published by Routledge. This book was released on 2020-07-24 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.
