Language Form And Logic

Author : Christian Martin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 342 pages
File Size : 42,8 Mb
Release : 2018-09-10
Category : Philosophy
ISBN : 9783110518283

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Language, Form(s) of Life, and Logic by Christian Martin Pdf

This volume deals with the connection between thinking-and-speaking and our form(s) of life. All contributions engage with Wittgenstein’s approach to this topic. As a whole, the volume takes a stance against both biological and ethnological interpretations of the notion "form of life" and seeks to promote a broadly logico-linguistic understanding instead. The structure of this book is threefold. Part one focuses on lines of thinking that lead from Wittgenstein’s earlier thought to the concept of form of life in his later work. Contributions to part two examine the concrete philosophical function of this notion as well as the ways in which it differs from cognate concepts. Contributions to part three put Wittgenstein’s notion of form of life in perspective by relating it to phenomenology, ordinary language philosophy and problems in contemporary analytic philosophy.

Author : Peter Ludlow,Saso Živanović
Publisher : Oxford University Press
Page : 444 pages
File Size : 46,7 Mb
Release : 2022-02-24
Category : Language Arts & Disciplines
ISBN : 9780199591534

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Language, Form, and Logic by Peter Ludlow,Saso Živanović Pdf

This book takes an idea first explored by medieval logicians 800 years ago and revisits it armed with the tools of contemporary linguistics, logic, and computer science. The idea - the Holy Grail of the medieval logicians - was the thought that all of logic could be reduced to two very simple rules that are sensitive to logical polarity (for example, the presence and absence of negations). Ludlow and Živanović pursue this idea and show how it has profound consequences for our understanding of the nature of human inferential capacities. They also show its consequences for some of the deepest issues in contemporary linguistics, including the nature of quantification, puzzles about discourse anaphora and pragmatics, and even insights into the source of aboutness in natural language. The key to their enterprise is a formal relation they call "p-scope" - a polarity-sensitive relation that controls the operations that can be carried out in their Dynamic Deductive System. They show that with p-scope in play, deductions can be carried out using sublogical operations like those they call COPY and PRUNE - operations that are simple syntactic operations on sentences. They prove that the resulting deductive system is complete and sound. The result is a beautiful formal tapestry in which p-scope unlocks important properties of natural language, including the property of "restrictedness," which they prove to be equivalent to the semantic notion of conservativity. More than that, they show that restrictedness is also a key to understanding quantification and discourse anaphora, and many other linguistic phenomena.

Author : Andrea Iacona
Publisher : Springer
Page : 139 pages
File Size : 43,6 Mb
Release : 2018-01-28
Category : Philosophy
ISBN : 9783319741543

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Logical Form by Andrea Iacona Pdf

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.

Author : Gerhard Preyer,Georg Peter
Publisher : Oxford University Press
Page : 534 pages
File Size : 47,6 Mb
Release : 2002
Category : Language Arts & Disciplines
ISBN : 019924555X

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Logical Form and Language by Gerhard Preyer,Georg Peter Pdf

Seventeen specially written essays by eminent philosophers and linguists appear for the first time in this anthology, all with the central theme of logical form - a fundamental issue in analytical philosophy and linguistic theory.

Author : Peter Ludlow,Sašo Živanović
Publisher : Oxford University Press
Page : 352 pages
File Size : 51,8 Mb
Release : 2022-02-24
Category : Philosophy
ISBN : 9780192677631

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Language, Form, and Logic by Peter Ludlow,Sašo Živanović Pdf

This book takes an idea first explored by medieval logicians 800 years ago and revisits it armed with the tools of contemporary linguistics, logic, and computer science. The idea - the Holy Grail of the medieval logicians - was the thought that all of logic could be reduced to two very simple rules that are sensitive to logical polarity (for example, the presence and absence of negations). Ludlow and Živanović pursue this idea and show how it has profound consequences for our understanding of the nature of human inferential capacities. They also show its consequences for some of the deepest issues in contemporary linguistics, including the nature of quantification, puzzles about discourse anaphora and pragmatics, and even insights into the source of aboutness in natural language. The key to their enterprise is a formal relation they call "p-scope" - a polarity-sensitive relation that controls the operations that can be carried out in their Dynamic Deductive System. They show that with p-scope in play, deductions can be carried out using sublogical operations like those they call COPY and PRUNE - operations that are simple syntactic operations on sentences. They prove that the resulting deductive system is complete and sound. The result is a beautiful formal tapestry in which p-scope unlocks important properties of natural language, including the property of "restrictedness," which they prove to be equivalent to the semantic notion of conservativity. More than that, they show that restrictedness is also a key to understanding quantification and discourse anaphora, and many other linguistic phenomena.

Author : L. T. F. Gamut
Publisher : University of Chicago Press
Page : 376 pages
File Size : 45,8 Mb
Release : 1991
Category : Language Arts & Disciplines
ISBN : 0226280845

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Logic, Language, and Meaning, Volume 1 by L. T. F. Gamut Pdf

Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.

Author : Norbert Hornstein
Publisher : MIT Press
Page : 196 pages
File Size : 42,9 Mb
Release : 1984
Category : Language Arts & Disciplines
ISBN : 0262081377

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Logic as Grammar by Norbert Hornstein Pdf

How is the meaning of natural language interpreted? Taking as its point of departure the logical problem of natural language acquisition, this book elaborates a theory of meaning based on syntactical rather than semantical processes. Copyright © Libri GmbH. All rights reserved.

Author : Jens Allwood,Lars-Gunnar Andersson,Osten Dahl
Publisher : Cambridge University Press
Page : 200 pages
File Size : 54,9 Mb
Release : 1977-09-15
Category : Language Arts & Disciplines
ISBN : 0521291747

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Logic in Linguistics by Jens Allwood,Lars-Gunnar Andersson,Osten Dahl Pdf

The authors offer a clear, succinct and basic introduction to set theory and formal logic for linguists.

Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Page : 128 pages
File Size : 49,6 Mb
Release : 2017-02-06
Category : Electronic
ISBN : 1942341431

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A Concise Introduction to Logic by Craig DeLancey Pdf

Author : Pranab Kumar Sen
Publisher : Allied Publishers
Page : 310 pages
File Size : 54,7 Mb
Release : 1990
Category : Language and logic
ISBN : 8170232945

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Foundations of Logic and Language by Pranab Kumar Sen Pdf

Author : L. T. F. Gamut
Publisher : University of Chicago Press
Page : 300 pages
File Size : 46,8 Mb
Release : 1991
Category : Philosophy
ISBN : 0226280853

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Logic, Language, and Meaning, Volume 1 by L. T. F. Gamut Pdf

Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.

Author : Laurent Cesalli,Frédéric Goubier,Alain de Libera,Manuel Gustavo Isaac
Publisher : Brepols
Page : 0 pages
File Size : 45,7 Mb
Release : 2016
Category : Logic, Medieval
ISBN : 2503567355

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Formal Approaches and Natural Language in Medieval Logic by Laurent Cesalli,Frédéric Goubier,Alain de Libera,Manuel Gustavo Isaac Pdf

Is medieval logic formal? And if yes, in what sense? There are striking affinities between medieval and contemporary theories of language. Authors from the two periods share formal ambitions and maintain complex, and at time uneasy, relations with natural language. However, modern scholars became careful not to overlook the specificities of theories developed more than five hundred years apart, in particular with respect to their 'formal' character. In 1972, Alfonso Maieru noted that the efforts of medieval logicians to identify logical structures in language formal enough to become objects of scientific consideration. He also stressed that the language investigated is a historical one, Latin, so that one can legitimately wonder to which extent ... one is allowed to speak of 'formal logic' in the middle ages. In other words, medieval logic is characterized by a tension between 'formalist ambitions' and constraints proper to natural language. Today, our knowledge of the field has considerably expanded, calling for a new assessment of the question.

Author : Fred Sommers
Publisher : Oxford University Press, USA
Page : 496 pages
File Size : 54,8 Mb
Release : 1982
Category : Language Arts & Disciplines
ISBN : UOM:39015000560006

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The Logic of Natural Language by Fred Sommers Pdf

A sustained argument for the virtues of a traditional, as opposed to a quantification-theoretical, analysis of the logic of natural language.

Author : Arthur Sullivan
Publisher : Broadview Press
Page : 299 pages
File Size : 55,7 Mb
Release : 2003-03-04
Category : Philosophy
ISBN : 9781770483293

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Logicism and the Philosophy of Language by Arthur Sullivan Pdf

Logicism and the Philosophy of Language brings together the core works by Gottlob Frege and Bertrand Russell on logic and language. In their separate efforts to clarify mathematics through the use of logic in the late nineteenth and early twentieth century, Frege and Russell both recognized the need for rigorous and systematic semantic analysis of language. It was their turn to this style of analysis that would establish the philosophy of language as an autonomous area of inquiry. This anthology gathers together these foundational writings, and frames them with an extensive historical introduction. This is a collection for anyone interested in questions about truth, meaning, reference, and logic, and in the application of formal analysis to these concepts.

Author : Robert May
Publisher : MIT Press
Page : 204 pages
File Size : 46,8 Mb
Release : 1985
Category : Language Arts & Disciplines
ISBN : 0262631024

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Logical Form by Robert May Pdf

This study focuses on the relation of syntactic and semantic structure. It investigates the notion that within generative grammar there is a level of linguistic representation Logical Form. Its main assumption is that this is a level of phrase structure representation, derived by transformational operations from S-structure, and over which formal semantic interpretations are defined.The book explores Logical Form by focusing primarily on quantificational phenomena and on how their explicit syntactic representation interacts with various syntactic and semantic properties. Among the topics discussed are the interactions of wh and quantified phrases, bound variable anaphora, branching quantifiers, extraposition and multiple interrogation.Logical Form contains several technical innovations: the notion that LF-movement closely approximates "Move α," a new approach to characterizing quantifier scope, which makes central use of the notion of "government," a novel interpretation of the relation of syntactic nodes and categorical projections, and an application of path theory to the syntactic structure of Logical Form.Robert May is Assistant Professor of Linguistics, Barnard College, Columbia University. Logical Form is Linguistic Inquiry Monograph 12.