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Logic with Trees: An Introduction to Symbolic Logic

First published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.

Logic with Trees: An Introduction to Symbolic Logic

First published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.

Logic Without Gaps or Gluts: How to Solve the Paradoxes Without Sacrificing Classical Logic (Synthese Library #458)

This book offers a defense against non-classical approaches to the paradoxes. The author argues that, despite appearances, the paradoxes give no reason at all to reject classical logic. In fact, he believes classical solutions fare better than non-classical ones with respect to key tests like Curry’s Paradox, a Liar-like paradox that dialetheists are forced to solve in a way totally disjoint from their solution to the Liar. Graham Priest’s In Contradiction was the first major work that advocated the use of non-classical approaches. Since then, these views have moved into the philosophical mainstream. Much of this movement is fueled by a widespread sense that these logically heterodox solutions get to the real nub of the issue. They lack the ad hoc feel of many other solutions to the paradoxes. The author believes that it's long past time for a response to these attacks against classical orthodoxy. He presents a non-logically-revisionary solution to the paradoxes. This title offers a literal way of cashing out the disquotation metaphor. While the details of the view are novel, the idea has a pre-history in the relevant literature. The author examines objections in detail. He rejects each in turn and concludes by comparing the virtues of his logically orthodox approach with those of the paraconsistent and paracomplete competition.

Logic Works: A Rigorous Introduction to Formal Logic

Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies

Logic Works: A Rigorous Introduction to Formal Logic

Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies

Logic Year 1979-80: The University of Connecticut, USA (Lecture Notes in Mathematics #859)

Logica: Volume 1 - Dimostrazioni E Modelli Al Primo Ordine (UNITEXT #80)

L'opera si propone come testo di riferimento per acquisire una solida preparazione specialistica nella Logica, presentando in maniera rigorosa ed innovativa argomenti tradizionalmente affrontati nei corsi universitari di secondo livello. Questo secondo volume, che completa l'opera, presenta le basi della teoria della ricorsività, l'aritmetica di Peano ed i teoremi di incompletezza, gli assiomi della teoria assiomatica degli insiemi di Zermelo-Fraenkel e la teoria degli ordinali e dei cardinali che ne deriva.

Logica: Volume 1 - Dimostrazioni e modelli al primo ordine (UNITEXT #80)

Gli autori, basandosi sulla loro esperienza di ricerca, propongono in due volumi un testo di riferimento per acquisire una solida formazione specialistica nella logica.Nei due volumi vengono presentati in maniera innovativa e rigorosa temi di logica tradizionalmente affrontati nei corsi universitari di secondo livello.Questo primo volume è dedicato ai teoremi fondamentali sulla logica del primo ordine e alle loro principali conseguenze.Il testo è rivolto in particolare agli studenti dei corsi di laurea magistrale.

Logica: Metodo Breve (UNITEXT #50)

Senza richiedere prerequisiti il testo si propone di fornire una dimostrazione dei fondamentali teoremi della logica matematica (compattezza, completezza di Gödel, Löwenheim-Skolem) introducendo i concetti sintattici e semantici in modo progressivo, dalla logica booleana a quella predicativa. Per facilitare la lettura attiva, il testo contiene numerosi esercizi.

Logica Universalis: Towards a General Theory of Logic

Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.

Logica Universalis: Towards a General Theory of Logic

Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.

The Logical Alien: Conant And His Critics

Is our logical form of thought merely one among many, or must it be the form of thought as such? From Kant to Wittgenstein, philosophers have wrestled with variants of this question. This volume brings together nine distinguished thinkers on the subject, including James Conant, author of the seminal paper “The Search for Logically Alien Thought.”

Logical Analysis of Hybrid Systems: Proving Theorems for Complex Dynamics

Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior. Many applications are safety-critical, including car, railway, and air traffic control, robotics, physical–chemical process control, and biomedical devices. Hybrid systems analysis studies how we can build computerized controllers for physical systems which are guaranteed to meet their design goals. The author gives a unique, logic-based perspective on hybrid systems analysis. It is the first book that leverages the power of logic for hybrid systems. The author develops a coherent logical approach for systematic hybrid systems analysis, covering its theory, practice, and applications. It is further shown how the developed verification techniques can be used to study air traffic and railway control systems. This book is intended for researchers, postgraduates, and professionals who are interested in hybrid systems analysis, cyberphysical or embedded systems design, logic and theorem proving, or transportation and automation.

Logical and Computational Aspects of Model-Based Reasoning (Applied Logic Series #25)

Information technology has been, in recent years, under increasing commercial pressure to provide devices and systems which help/ replace the human in his daily activity. This pressure requires the use of logic as the underlying foundational workhorse of the area. New logics were developed as the need arose and new foci and balance has evolved within logic itself. One aspect of these new trends in logic is the rising impor­ tance of model based reasoning. Logics have become more and more tailored to applications and their reasoning has become more and more application dependent. In fact, some years ago, I myself coined the phrase "direct deductive reasoning in application areas", advocating the methodology of model-based reasoning in the strongest possible terms. Certainly my discipline of Labelled Deductive Systems allows to bring "pieces" of the application areas as "labels" into the logic. I therefore heartily welcome this important book to Volume 25 of the Applied Logic Series and see it as an important contribution in our overall coverage of applied logic.

Logical and Epistemological Studies in Contemporary Physics (Boston Studies in the Philosophy and History of Science #13)

Proceedings of the Boston Colloquium for the Philosophy of Science 1969/1972

A Logical Approach to Philosophy: Essays in Honour of Graham Solomon (The Western Ontario Series in Philosophy of Science #69)

Graham Solomon, to whom this collection is dedicated, went into hospital for antibiotic treatment of pneumonia in Oc- ber, 2001. Three days later, on Nov. 1, he died of a massive stroke, at the age of 44. Solomon was well liked by those who got the chance to know him—it was a revelation to ?nd out, when helping to sort out his a?airs after his death, how many “friends” he had whom he had actually never met, as his email included correspondence with philosophers around the world running sometimes to hundreds of messages. He was well respected in the philosophical community more broadly. He was for several years a member of the editorial board for the Western Ontario Series in Philosophy of Science. While he was employed at Wilfrid Laurier University in Waterloo, Ontario, several of us at the University of Wat- loo always regarded our own department as a sort of second academic home for him. We therefore decided that it would be appropriate to hold a memorial conference in his honour. Thanks to the generous ?nancial support of the Humphrey Conference Fund, we were able to do so in May 2003. Many of the papers in this volume were presented at that conf- ence.

Logical Aspects of Computational Linguistics: 8th International Conference, LACL 2014, Toulouse, France, June 18-24, 2014. Proceedings (Lecture Notes in Computer Science #8535)

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 8th International Conference on Logical Aspects of Computational Linguistics (LACL 2014) held in Toulouse, France, in June 2014. On the broadly syntactic side, there are papers on the logical and computational foundations of context free grammars, pregroup grammars, on the Lambek calculus and on formalizations of aspects of minimalism. There is also a paper on Abstract Categorical Grammar, as well as papers on issues at the syntax/semantics interface. On the semantic side, the volume's papers address monotonicity reasoning and the semantics of adverbs in type theory, proof theoretical semantics and predicate and argument invariance.

Logical Aspects of Computational Linguistics: 7th International Conference, LACL 2012, Nantes, France, July 2-4, 2012, Proceedings (Lecture Notes in Computer Science #7351)

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 7th International Conference on Logical Aspects of Computational Linguistics, LACL 2012, held in Nantes, France, in July 2012. The 15 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 24 submissions. The papers are organized in topical sections on logical foundation of syntactic formalisms, logics for semantics of lexical items, sentences, discourse and dialog, applications of these models to natural language processing, type theoretic, proof theoretic, model theoretic and other logically based formal methods for describing natural language syntax, semantics and pragmatics, as well as the implementation of natural language processing software relying on such methods.

Logical Aspects of Computational Linguistics: 5th International Conference, LACL 2005, Bordeaux, France, April 28-30, 2005, Proceedings (Lecture Notes in Computer Science #3492)

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book inaugurates the new FoLLI LNAI subline. It constitutes the refereed proceedings of the 5th International Conference on Logical Aspects of Computational Linguistics, LACL 2005, held in Bordeaux, France in April 2005. The 25 revised full papers presented were carefully reviewed and selected from over 40 submissions. The papers address a wide range of logical and formal methods in computational linguistics with studies of particular grammar formalisms and their computational properties, language engineering, and traditional topics about the syntax/semantics interface.

Logical Aspects of Computational Linguistics: 4th International Conference, LACL 2001, Le Croisic, France, June 27-29, 2001, Proceedings (Lecture Notes in Computer Science #2099)

Logical Aspects of Computational Linguistics: Third International Conference, LACL'98 Grenoble, France, December 14-16, 1998 Selected Papers (Lecture Notes in Computer Science #2014)

The conference series Logical Aspects of Computational Linguistics (LACL) aims at providing a forum for the presentation and discussion of current research in all the formal and logical aspects of computational linguistics. The LACL initiative started with a workshop held in Nancy (France) in 1995. Selected papers from this event have appeared as a special issue of the Journal of Logic Language and Information, Volume 7(4), 1998. In 1996, LACL shifted to the format of an international conference. LACL’96 and ’97 were both held in Nancy (France). The proceedings appeared as volumes 1328 and 1582 of the Springer Lecture Notes in Arti cial Intelligence. This volume contains selected papers of the third international conference on Logical Aspects of Computational Linguistics (LACL’98), held in Grenoble, France, from December 14 to 16, 1998. The conference was organized by the U- versity Pierre Mend es-France (Grenoble 2) together with LORIA (Laboratoire Lorrain d’Informatique et Applications, Nancy). On the basis of 33 submitted 4-page abstracts, the Program Committee selected 19 contributions for pres- tation. In addition to the selected papers, the program featured three invited talks, by Maarten de Rijke (ILLC, Amsterdam), Makoto Kanazawa (Chiba U- versity, Japan), and Fernando Pereira (AT&T Labs). After the conference, the contributors were invited to submit a full paper for the conference proceedings.

Logical Aspects of Computational Linguistics: Second International Conference, LACL'97, Nancy, France, September 22-24, 1997, Selected Papers (Lecture Notes in Computer Science #1582)

This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Logical Aspects of Computational Linguistics, LACL '97, held in Nancy, France in September 1997.The 10 revised full papers presented were carefully selected during two rounds of reviewing. Also included are two comprehensive invited papers. Among the topics covered are type theory, various types of grammars, linear logic, parsing, type-directed natural language processing, proof-theoretic aspects, concatenation logics, and mathematical languages.

Logical Aspects of Computational Linguistics: 6th International Conference, LACL 2011, Montpellier, France, June 29 -- July 1, 2011. Proceedings (Lecture Notes in Computer Science #6736)

This book constitutes the refereed proceedings of the 6th International Conference on Logical Aspects of Computational Linguistics, LACL 2011, held in Montpellier, France, in June/July 2011. The 18 revised full papers presented were carefully reviewed and selected from 31 submissions. The papers address a wide range of logical and formal methods in computational linguistics such as type-theoretic grammars, dependency grammars, formal language theory, grammatical inference, minimalism, generation, and lexical and formal semantics.

The Logical Deduction of Chinese Traditional Political Philosophy

This book presents a panoramic and extensive exploration of Chinese political philosophy, examining key political problems of the past, and the thinkers who addressed them. As the reader will discover, China’s traditional political philosophy is one with distinctive national characteristics and ideals. Therefore, the book helps to clarify the evolution of Chinese political thought, while also investigating fundamental political issues throughout the country’s history. The book offers a unique resource for researchers and graduate students in the fields of political science, philosophy, and history, as well as ordinary readers who are interested in China’s traditional and political culture.

Logical Empiricism and Naturalism: Neurath and Carnap’s Metatheory of Science (Vienna Circle Institute Library)

This text provides an extensive exploration of the relationship between the thought of Otto Neurath and Rudolf Carnap, providing a new argument for the complementarity of their mature philosophies as part of a collaborative metatheory of science. In arguing that both Neurath and Carnap must be interpreted as proponents of epistemological naturalism, and that their naturalisms rest on shared philosophical ground, it is also demonstrated that the boundaries and possibilities for epistemological naturalism are not as restrictive as Quinean orthodoxy has previously suggested. Both building on and challenging the scholarship of the past four decades, this naturalist reading of Carnap also provides a new interpretation of Carnap’s conception of analyticity, allowing for a refutation of the Quinean argument for the incompatibility of naturalism and the analytic/synthetic distinction. In doing so, the relevance and potential importance of their scientific meta-theory for contemporary questions in the philosophy of science is demonstrated.This text appeals to students and researchers working on Logical Empiricism, Quine, the history of analytic philosophy and the history of philosophy of science, as well as proponents of naturalized epistemology.