Eliminating The Universe Logical Properties Of Natural Language
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Eliminating The Universe Logical Properties Of Natural Language
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Author : Edward L Keenan
language : en
Publisher: World Scientific
Release Date : 2018-07-09
Eliminating The Universe Logical Properties Of Natural Language written by Edward L Keenan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Mathematics categories.
This book synthesizes the author's work (1980s-2015) on the logical expressive power of natural language. It extends the tools and concepts of model theory as used in (higher order) predicate logic to the study of natural language semantics. It focuses on boolean structure, generalized quantification (separated from variable binding), covering some cases of anaphora. Different categories — predicates, adjective, quantifiers — are modeled by non-isomorphic boolean lattices.Of empirical linguistic interest is the expressibility of many natural classes of quantifiers defined in terms of their logical (automorphism invariant) properties. Some of these correlate with classes used syntactically in generative grammar. In other cases we find general (possibly universal) constraints on possible quantifier denotations in natural language.Also of novel logical interest are entailment paradigms that depend on relations between pairs or triples of generalized quantifier denoting expressions, ones that are in some cases inherently vague. In addition we note novel binary quantifiers that lie beyond the 'Frege boundary' in that they are provably not identical to any iterated application of unary quantifiers.Of philosophical interest is the existence of models which make the same sentences true as standard models but which lack a universe and hence, seemingly, a notion of 'reference'. Moreover, these models generalize to ones in which we can represent (some) intensional expressions without the use of novel ontological objects, such as 'possible worlds' or 'propositions'.
Eliminating The Universe
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Author : Edward Louis Keenan
language : en
Publisher:
Release Date : 2016
Eliminating The Universe written by Edward Louis Keenan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with LANGUAGE ARTS & DISCIPLINES categories.
Natural Language Semantics
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Author : Brendan S. Gillon
language : en
Publisher: MIT Press
Release Date : 2019-03-12
Natural Language Semantics written by Brendan S. Gillon and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Language Arts & Disciplines categories.
An introduction to natural language semantics that offers an overview of the empirical domain and an explanation of the mathematical concepts that underpin the discipline. This textbook offers a comprehensive introduction to the fundamentals of those approaches to natural language semantics that use the insights of logic. Many other texts on the subject focus on presenting a particular theory of natural language semantics. This text instead offers an overview of the empirical domain (drawn largely from standard descriptive grammars of English) as well as the mathematical tools that are applied to it. Readers are shown where the concepts of logic apply, where they fail to apply, and where they might apply, if suitably adjusted. The presentation of logic is completely self-contained, with concepts of logic used in the book presented in all the necessary detail. This includes propositional logic, first order predicate logic, generalized quantifier theory, and the Lambek and Lambda calculi. The chapters on logic are paired with chapters on English grammar. For example, the chapter on propositional logic is paired with a chapter on the grammar of coordination and subordination of English clauses; the chapter on predicate logic is paired with a chapter on the grammar of simple, independent English clauses; and so on. The book includes more than five hundred exercises, not only for the mathematical concepts introduced, but also for their application to the analysis of natural language. The latter exercises include some aimed at helping the reader to understand how to formulate and test hypotheses.
Systemic Functional Insights On Language And Linguistics
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Author : Christian M.I.M. Matthiessen
language : en
Publisher: Springer Nature
Release Date : 2022-04-05
Systemic Functional Insights On Language And Linguistics written by Christian M.I.M. Matthiessen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-05 with Language Arts & Disciplines categories.
This book features a collection of 10 interviews with Christian M.I.M. Matthiessen, who is a key figure in Systemic Functional Linguistics (SFL) and has collaborated closely with M.A.K. Halliday since the 1980s. As noted by Professor Chang Chenguang, Editor of the M.A.K. Halliday Library Functional Linguistics Series, “this collection of interviews serves as an important reference for scholars and students of SFL. It provides a unique perspective on the theoretical development and future outlooks of SFL, as well as Matthiessen’s own interpretations of the theory. It also enriches our understanding of SFL and is a very useful addition to the series.” Written in an engaging dialogic format, the book paints a vivid picture of SFL thriving among the landscape of general linguistics and of SFL as an important tool now being applied in various areas.
Boolean Semantics For Natural Language
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Author : Edward L. Keenan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boolean Semantics For Natural Language written by Edward L. Keenan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Literary Criticism categories.
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.
The Concise Encyclopedia Of Western Philosophy And Philosophers
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Author : Jonathan Ree
language : en
Publisher: Routledge
Release Date : 2005-08-08
The Concise Encyclopedia Of Western Philosophy And Philosophers written by Jonathan Ree and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-08 with Philosophy categories.
On its first appearance in 1960, J.O. Urmson's Concise encyclopedia of Western philosophy and philosophers established itself as a classic. Its contributors included many of the leading philosophers of the English-speaking world: Ryle, Hare, Strawson, Ayer, Dummett, Williams and many others. They wrote with an authority and individuality which made the Encyclopedia into a lively and engaging introduction to philosophy as well as a convenient reference work. For this edition, supervised by Jonathan Rée, the original articles have been revised and updated, and eighty articles by thirty one new authors have been added. The additions take account of recent developments in philosophy, of literary, historical and political issues in philosophy, and of developments in continental thought, including in Marxism, psychoanalysis, phenomenology, existentialism, structuralism, post-structuralism and deconstruction. There is a clear, integral cross-referencing system which allows the reader to identify points of overlap between philosophical traditions and their personalities at a glance.
New Yearbook For Phenomenology And Phenomenological Philosophy
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Author : Burt Hopkins
language : en
Publisher: Routledge
Release Date : 2020-11-25
New Yearbook For Phenomenology And Phenomenological Philosophy written by Burt Hopkins and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Philosophy categories.
The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer.
Introduction To Discrete Mathematics Via Logic And Proof
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Author : Calvin Jongsma
language : en
Publisher: Springer Nature
Release Date : 2019-11-08
Introduction To Discrete Mathematics Via Logic And Proof written by Calvin Jongsma and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-08 with Mathematics categories.
This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.
The Mathematical World Of Charles L Dodgson Lewis Carroll
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Author : Robin Wilson
language : en
Publisher: Oxford University Press
Release Date : 2019-02-14
The Mathematical World Of Charles L Dodgson Lewis Carroll written by Robin Wilson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-14 with Mathematics categories.
Charles Lutwidge Dodgson is best known for his 'Alice' books, Alice's Adventures in Wonderland and Through the Looking-Glass, written under his pen name of Lewis Carroll. Yet, whilst lauded for his work in children's fiction and his pioneering work in the world of Victorian photography, his everyday job was a lecturer in Mathematics at Christ Church, Oxford University. The Mathematical World of Charles L. Dodgson (Lewis Carroll) explores the academic background behind this complex individual, outlining his mathematical life, describing his writings in geometry, algebra, logic, the theory of voting, and recreational mathematics, before going on to discuss his mathematical legacy. This is the first academic work that collects the research on Dodgson's wide-ranging mathematical achievements into a single practical volume. Much material appears here for the first time, such as Dodgson's personal letters and drawings, as well as the results of recent investigations into the life and work of Dodgson. Complementing this are many illustrations, both historical and explanatory, as well as a full mathematical bibliography of Dodgson's mathematical publications.
Analogy In Indian And Western Philosophical Thought
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Author : David B. Zilberman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-02
Analogy In Indian And Western Philosophical Thought written by David B. Zilberman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-02 with Philosophy categories.
This book is unusual in many respects. It was written by a prolific author whose tragic untimely death did not allow to finish this and many other of his undertakings. It was assembled from numerous excerpts, notes, and fragments according to his initial plans. Zilberman’s legacy still awaits its true discovery and this book is a second installment to it after The Birth of Meaning in Hindu Thought (Kluwer, 1988). Zilberman’s treatment of analogy is unique in its approach, scope, and universality for Western philosophical thought. Constantly compared to eastern and especially classical Indian interpretations, analogy is presented by Zilberman as an important and in many ways primary method of philosophizing or philosophy-building. Due to its universality, this method can be also applied in linguistics, logic, social analysis, as well as historical and anthropological research. These applications are integral part of Zilberman’s book. A prophetic leap to largely uncharted territories,this book could be of considerable interest for experts and novices in the field of analogy alike.