Download or read book The Internal Structure of Predicates and Names written by Richard L Epstein and published by Advanced Reasoning Forum. This book was released on 2018-10-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of volumes is meant to extend the scope of what we can formalize in classical predicate logic, and in doing so see the limitations of what can be done. The first section of this volume presents classical predicate logic with equality. In the second section, that logic is extended to formalize reasoning that involves adverbs and relative adjectives by viewing those as modifiers of simpler predicates. What is normally taken to be an atomic predicate, such as "barking loudly", can then have internal structure. Reasoning that involves conjunctions of terms, as in "Tom and Dick lifted the table", conjunctions of modifiers, conjunctions of predicates, and disjunctions of predicates can also be formalized by viewing them as part of the internal structure of atomic predicates. Many questions about the nature of formalizing arise in doing this. The internal structure of names is the topic of the third and last section. Names for functions are used in classical predicate logic to form complex names. In our ordinary reasoning we also use descriptions to form functions, such as "the wife of", and descriptions to form names, such as "the cat that scratched Zoe". To reason with those we can take account of their internal structure by dropping the assumption that every name must refer to a specific thing. The formal systems that are developed here are meant to help us understand how to reason well. Many worked examples show how to use them. Those examples also uncover limitations of the formal work. Throughout this series of volumes, the work proceeds by abstracting and creating formal models to formalize reasoning. By paying attention to the process of abstracting we gain insight into why we consider some reasoning to be good and some reasoning bad, and insight also into the deeper assumptions we make about the world on which our judgments rely.

Download or read book The Internal Structure of Predicates and Names written by Richard L Epstein and published by . This book was released on 2016-12-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work extends classical predicate logic by showing how to formalize reasoning that involves adverbs, relative adjectives, conjunctions of terms, conjunctions of modifiers, and conjunctions of predicates as part of the internal structure of atomic predicates. Descriptive names and functions, and non-referring names are also analyzed.

Download or read book Predicate Logic written by Richard L Epstein and published by Advanced Reasoning Forum. This book was released on 2018-11-05 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The forms and scope of logic rest on assumptions of how language and reasoning connect to experience. In this volume an analysis of meaning and truth provides a foundation for studying modern propositional and predicate logics. Chapters on propositional logic, parsing propositions, and meaning, truth, and reference give a basis for criteria that can be used to judge formalizations of ordinary language arguments. Over 120 worked examples of formalizations of propositions and arguments illustrate the scope and limitations of modern logic, as analyzed in chapters on identity, quantifiers, descriptive names, functions, and second-order logic. The chapter on second-order logic illustrates how different conceptions of predicates and propositions do not lead to a common basis for quantification over predicates, as they do for quantification over things. Notable for its clarity of presentation, and supplemented by many exercises, this volume is suitable for philosophers, linguists, mathematicians, and computer scientists who wish to better understand the tools they use in formalizing reasoning.

Download or read book Time and Space in Formal Logic written by Richard L. Epstein and published by Advanced Reasoning Forum. This book was released on 2022-09-13 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time and Space in Formal Logic begins with an analysis of assumptions about how logic and language relate. Then in the first section, times are taken to be established by true propositions, and those are related as before and after with temporal propositional connectives. In the second section, times are treated as things that can be picked out and counted, leading to a predicate logic that allows for quantification over times. In the third section, locations in space are also treated as things that can be picked out and counted, leading to a predicate logic that allows for quantification over both times and locations. Many applications of the formal systems to formalizing ordinary language propositions and inferences clarify better the assumptions we make in reasoning taking account of time and space by making those precise in the formal systems. Appendices on events, branching times, intentions, and descriptive names add to the scope of the work.

Download or read book An Introduction to Formal Logic Second Edition written by Epstein Richard L and published by Advanced Reasoning Forum. This book was released on 2020-07-03 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Intended for a course for students in philosophy, mathematics, linguistics, or computer science, and excellent for self-study. • Motivation is given for each formal concept and each step in building a formal logic in terms of formalizing reasoning. Summaries are given at important junctures in the book to keep students aware of what they are doing and where they are going. • Criteria of formalization are developed and applied to formalizing ordinary language reasoning in an example-analysis format. • More than 300 worked examples. • More than 500 exercises with answers available on the web.

Download or read book Propositional Logics 3rd edition written by Richard L Epstein and published by Advanced Reasoning Forum. This book was released on 2018-11-05 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the history, philosophy, and mathematics of the major systems of propositional logic. Classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and dependent implication are examined in separate chapters. Each begins with a motivation in the originators' own terms, followed by the standard formal semantics, syntax, and completeness theorem. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations of the logics. The view that unifies the exposition is that propositional logics comprise a spectrum: as the aspect of propositions under consideration varies, the logic varies. Each logic is shown to fall naturally within a general framework for semantics. A theory of translations between logics is presented that allows for further comparisons, and necessary conditions are given for a translation to preserve meaning. For this third edition the material has been re-organized to make the text easier to study, and a new section on paraconsistent logics with simple semantics has been added which challenges standard views on the nature of consequence relations. The text includes worked examples and hundreds of exercises, from routine to open problems, making the book with its clear and careful exposition ideal for courses or individual study.

Download or read book Classical Mathematical Logic written by Richard L. Epstein and published by Princeton University Press. This book was released on 2011-12-18 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference. Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.

Download or read book Logic written by Nicholas J.J. Smith and published by Princeton University Press. This book was released on 2012-04-01 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic is essential to correct reasoning and also has important theoretical applications in philosophy, computer science, linguistics, and mathematics. This book provides an exceptionally clear introduction to classical logic, with a unique approach that emphasizes both the hows and whys of logic. Here Nicholas Smith thoroughly covers the formal tools and techniques of logic while also imparting a deeper understanding of their underlying rationales and broader philosophical significance. In addition, this is the only introduction to logic available today that presents all the major forms of proof--trees, natural deduction in all its major variants, axiomatic proofs, and sequent calculus. The book also features numerous exercises, with solutions available on an accompanying website. Logic is the ideal textbook for undergraduates and graduate students seeking a comprehensive and accessible introduction to the subject. Provides an essential introduction to classical logic Emphasizes the how and why of logic Covers both formal and philosophical issues Presents all the major forms of proof--from trees to sequent calculus Features numerous exercises, with solutions available at http://njjsmith.com/philosophy/lawsoftruth/ The ideal textbook for undergraduates and graduate students

Download or read book Possessors Predicates and Movement in the Determiner Phrase written by Artemis Alexiadou and published by John Benjamins Publishing. This book was released on 1998-10-15 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a cross-section of current research on the internal syntax of ‘Determiner Phrases` (DPs), with special emphasis on the analysis of DPs modified by genitival, adjectival and other non-finite attributes. Possessors, Predicates and Movement in the DP illustrates clearly the ongoing debate over older and more recent approaches to the syntax of DPs in particular in the wake of the minimalist program (Chomsky 1995) and Kayne’s antisymmetry hypothesis (Kayne 1994). The relative theoretical coherence among the contributions permits detailed comparison of specific syntactic proposals, providing a solid basis for further debate. Several of the papers address the syntactic questions in parallel with related semantic or morphological issues. The value of this collection to the study of Universal Grammar is also underlined by its comparative bias. Analyses of Germanic, Romance and Balkan languages figure prominently, and a number of new empirical generalizations within and between languages are discussed.

Download or read book The Semantic Foundations of Logic Predicate logic written by Richard L. Epstein and published by . This book was released on 1994 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Acquaintance Ontology and Knowledge written by Fred Wilson and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: These essays bring together forty years of work in ontology. Intentionality, negation, universals, bare particulars, tropes, general facts, relations, the myth of the 'myth of the given', are among the topics covered. Bergmann, Quine, Sellars, Russell, Wittgenstein, Hume, Bradley, Hochberg, Dummett, Frege, Plato, are among the philosophers discussed. The essays criticize non-Humean notions of cause; they criticize the notion that besides simple atomic facts there are also negative facts and general facts. They defend a realism of properties as universals, against nominalism; bare particulars; a (qualified) realism with regard to logical form; a Russellian account of relations; and an account of minds and intentionality, which is opposed to materialism, but is also a form of (methodological) behaviourism. In general, the ontology is one of logical atomism and empiricist throughout, rooted in a Principle of Acquaintance.

Download or read book Programming in Prolog written by W. F. Clocksin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first publishing of Programming in Prolog in 1981, Pro log has continued to attract an unexpectedly great deal of interest in the computer science community and is now seen as a potential ba sis for an important new generation of programming languages and systems. We hope that Programming in Prolog has partially satisfied the increasing need for an easy, yet comprehensive introduction to the language as a tool for practical programming. In this second edition we have taken the opportunity to improve the presentation and to correct various minor errors in the original. We thank the many people who have given us suggestions for corrections and improvement. W. F. C. C. S. M. Cambridge, England August, 198-1 Preface to the First Edition The computer programming language Prolog is quickly gaining popularity throughout the world. Since its beginnings around 1970, Prolog has been chosen by many programmers for applications of symbolic computation, including: • relational databases • mathematical logic • abstract problem solving • understanding naturallangur~ge • design automation • symbolic equation solving • biochemical structure analysis • many areas of artificial intelligence Until now, there has been no textbook with the aim of teaching Prolog as a practical programming language. It is perhaps a tribute to Prolog that so many people have been motivated to learn it by referring to the necessarily concise reference manuals, a few published papers, and by the orally transmitted 'folklore' of the modern computing community.

Download or read book Linguistic Expressions and Semantic Processing written by Alastair Butler and published by Springer. This book was released on 2015-05-26 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces formal semantics techniques for a natural language processing audience. Methods discussed involve: (i) the denotational techniques used in model-theoretic semantics, which make it possible to determine whether a linguistic expression is true or false with respect to some model of the way things happen to be; and (ii) stages of interpretation, i.e., ways to arrive at meanings by evaluating and converting source linguistic expressions, possibly with respect to contexts, into output (logical) forms that could be used with (i). The book demonstrates that the methods allow wide coverage without compromising the quality of semantic analysis. Access to unrestricted, robust and accurate semantic analysis is widely regarded as an essential component for improving natural language processing tasks, such as: recognizing textual entailment, information extraction, summarization, automatic reply, and machine translation.

Download or read book Predicates and Their Subjects written by Susan Rothstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Predicates and their Subjects is an in-depth study of the syntax-semantics interface focusing on the structure of the subject-predicate relation. Starting from where the author's 1983 dissertation left off, the book argues that there is syntactic constraint that clauses (small and tensed) are constructed out of a one-place unsaturated expression, the predicate, which must be applied to a syntactic argument, its subject. The author shows that this predication relation cannot be reduced to a thematic relation or a projection of argument structure, but must be a purely syntactic constraint. Chapters in the book show how the syntactic predication relation is semantically interpreted, and how the predication relation explains constraints on DP-raising and on the distribution of pleonastics in English. The second half of the book extends the theory of predication to cover copular constructions; it includes an account of the structure of small clauses in Hebrew, of the use of `be' in predicative and identity sentences in English, and concludes with a study of the meaning of the verb `be'.

Download or read book The Syntax and Semantics of Noun Modifiers and the Theory of Universal Grammar written by Min-Joo Kim and published by Springer. This book was released on 2019-03-20 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes Korean as a basis to provide a detailed universal Determiner Phrase (DP) structure. Adnominal adjectival expressions are apparently optional noun dependents but their syntax and semantics have been shown to provide an important window on the internal structure of DP. By carefully examining data from Korean, an understudied language, as well as from other unrelated languages, the book provides a broad perspective on the phenomenon of noun modification and its cross-linguistic variations. Furthermore, it offers not only a thorough syntactic analysis but also a formal semantic analysis of noun modifiers that extends beyond a single language. This book will be of great interest to researchers interested in theoretical syntax, its interfaces with semantics, pragmatics, linguistic typology, and language variation. ​

Download or read book Ontological Categories written by Jan Westerhoff and published by Clarendon Press. This book was released on 2005-11-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of an ontological category is central to metaphysics. Metaphysicians argue about which category an object should be assigned to, whether one category can be reduced to another one, or whether there might be different equally adequate systems of categorization. Answers to these questions presuppose a clear understanding of what precisely an ontological category is, an issue which is rarely addressed; Jan Westerhoff presents the first in-depth analysis both of the use made of ontological categories in the metaphysical literature, and of various attempts at defining them. He also develops a new theory of ontological categories which implies that there will be no unique system, and that the ontological category an object belongs to is not an essential property of that object. Systems of ontological categories are structures imposed on the world, rather than reflections of a deep metaphysical reality already present. All metaphysicians should find Westerhoff's book highly stimulating.

Download or read book Programming in Prolog written by William F. Clocksin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1981, this was the first textbook on programming in the Prolog language and is still the definitive introductory text on Prolog. Though many Prolog textbooks have been published since, this one has withstood the test of time because of its comprehensiveness, tutorial approach, and emphasis on general programming applications. Prolog has continued to attract a great deal of interest in the computer science community, and has turned out to be a basis for an important new generation of programming languages and systems for Artificial Intelligence. Since the previous edition of Programming in Prolog, the language has been standardised by the International Organization for Standardization (ISO) and this book has been updated accordingly. The authors have also introduced some new material, clarified some explanations, corrected a number of minor errors, and removed appendices about Prolog systems that are now obsolete.