Download or read book Investigations in Modal and Tense Logics with Applications to Problems in Philosophy and Linguistics written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as an advanced text and reference work on modal logic, a subject of growing importance which has applications to philosophy and linguistics. Although it is based mainly on research which I carried out during the years 1969-1973, it also includes some related results obtained by other workers in the field (see the refer ences in Part 7). Parts 0, 1 and 2, can be used as the basis of a one year graduate course in modal logic. The material which they contain has been taught in such courses at Stanford since 1970. The remaining parts of the book contain more than enough material for a second course in modal logic. The exercises supplement the text and are usually difficult. I wish to thank Stanford University and Bar-Han University for making it possible for me to continue and finish this work, and A. Ungar for correcting the typescript. Bar-Ilan University, Israel Dov M. GABBA Y PART 0 AN INTRODUCTION TO GENERAL INTENSIONAL LOGICS CHAPTER 0 CONSEQUENCE RELATIONS Motivation We introduce the notions of a consequence relation (which is a generalization of the notion of a logical system) and of a semantics. We show that every consequence relation is complete for a canonical semantics. We define the notion of one semantics being Dian in another and study the basic properties of this notion. The concepts of this chapter are generalizations of the various notions of logical system and possible world semantics found in the literature.

Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: conceptual, realist) theories of predication. Chapter IV.4 centers on an important class of expressions used for predication in connection with quantities: mass expressions. This chapter reviews the most well-known approaches to mass terms and the ontological proposals related to them. In addition to quantification and predication, matters of reference have constituted the other overriding theme for semantic theories in both philosophical logic and the semantics of natural languages. Chapter IV.5 of how the semantics of proper names and descrip presents an overview tions have been dealt with in recent theories of reference. Chapter IV.6 is concerned with the context-dependence of reference, in particular, with the semantics of indexical expressions. The topic of Chapter IV.7 is related to predication as it surveys some of the central problems of ascribing propositional attitudes to agents. Chap ter IV.8 deals with the analysis of the main temporal aspects of natural language utterances. Together these two chapters give a good indication of the intricate complexities that arise once modalities of one or the other sort enter on the semantic stage. in philosophical Chapter IV.9 deals with another well-known topic logic: presupposition, an issue on the borderline of semantics and prag matics. The volume closes with an extensive study of the Liar paradox and its many implications for the study of language (as for example, self reference, truth concepts and truth definitions).

Download or read book Knowledge Belief and Strategic Interaction written by Cristina Bicchieri and published by Cambridge University Press. This book was released on 1992-08-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A group of pre-eminent figures offer a conspectus of the interaction of game theory, logic and episemology in the formal models of knowledge, belief, deliberation and learning.

Download or read book Essays on Mathematical and Philosophical Logic written by Jaakko Hintikka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth Scandinavian Logic Symposium and the First Soviet-Finnish Logic Conference were held in JyvaskyIa, Finland, June 29-July 6, 1976. The Conferences were organized by a committee which consisted of the editors of the present volume. The Conferences were supported financially by the Ministry of Education of Finland, by the Academy of Finland, and by the Division of Logic, Methodology, and Philosophy of Science of the International Union of History of Science. The Philosophical Society of Finland and the Jyvaskyla Summer Festival gave valuable help in various practicalities. 35 papers by authors representing 10 countries were presented at the two meetings. Of those papers 24 appear here. THE EDITORS v TABLE OF CONTENTS PREFACE v PART 1/ PROOF THEORY GEORG KREISEL / Some Facts from the Theory of Proofs and Some Fictions from General Proof Theory 3 DAG PRAWITZ / Proofs and the Meaning and Completeness of the Logical Constants 25 v. A. SMIRNOV / Theory of Quantification and tff-calculi 41 LARS SVENONIUS/Two Kinds of Extensions of Primitive Recursive Arithmetic 49 DIRK VAN DALEN and R. STATMAN / Equality in the Presence of Apartness 95 PART II / INFINITARY LANGUAGES VEIKKO RANTALA / Game-Theoretical Semantics and Back-and- Forth 119 MAARET KAR TTUNEN / Infinitary Languages N oo~.

Download or read book Peter Geach Philosophical Encounters written by H.A. Lewis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume owes its existence to a proposal of Dr Esa Saarinen. Our aim was to celebrate the work of a living philosopher by presenting it both from his own point of view, through the medium of a philosophical autobiography, and from that of his closest philo sophical colleagues and adversaries. We felt that a philosophical career lived through vigorous controversy was best reflected not by adulation but in the spirit of that career - by open debate. Contributors were not constrained in their choice of topic, but their contributions fell naturally into groups linked with some of Peter Geach's principal areas of interest, and we have so grouped them in the book. There is an interweaving of biographical and philosophical themes, not only in Peter Geach's philosophical autobiography, but also in the introductions he has contributed to each section. Professor W. V. O. Quine's contribution, which consists of extracts from his correspondence with Peter Geach, has been set apart as it forms a natural bridge between Peter Geach's autobiography and the contri butions that follow. Their correspondence reproduced here throws new light on many familiar themes from the writings of both philosophers: among them, the objects of belief and other attitudes, issues in set theory, the nature of causality, and evolution in epistemology.

Download or read book Philosophical Lectures on Probability written by Bruno de Finetti and published by Springer Science & Business Media. This book was released on 2008-05-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bruno de Finetti (1906–1985) is the founder of the subjective interpretation of probability, together with the British philosopher Frank Plumpton Ramsey. His related notion of “exchangeability” revolutionized the statistical methodology. This book (based on a course held in 1979) explains in a language accessible also to non-mathematicians the fundamental tenets and implications of subjectivism, according to which the probability of any well specified fact F refers to the degree of belief actually held by someone, on the ground of her whole knowledge, on the truth of the assertion that F obtains.

Download or read book Extensions of First Order Logic written by Maria Manzano and published by Cambridge University Press. This book was released on 1996-03-29 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to many-sorted logic as an extension of first-order logic.

Download or read book Abductive Reasoning written by Atocha Aliseda and published by Springer Science & Business Media. This book was released on 2006-02-16 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abductive Reasoning: Logical Investigations into Discovery and Explanation is a much awaited original contribution to the study of abductive reasoning, providing logical foundations and a rich sample of pertinent applications. Divided into three parts on the conceptual framework, the logical foundations, and the applications, this monograph takes the reader for a comprehensive and erudite tour through the taxonomy of abductive reasoning, via the logical workings of abductive inference ending with applications pertinent to scientific explanation, empirical progress, pragmatism and belief revision.

Download or read book A Boole Anthology written by James Gasser and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.

Download or read book Trading Ontology for Ideology written by L. Decock and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Willard VanOrman Quine has probably been the most influential th American philosopher of the 20 century. His work spans over seven decades, and covers many domains in philosophy. He has made major contributions to the fields of logic and set theory, philosophy of logic and mathematics, philosophy of language, philosophy of science, epistemology and metaphysics. Quine's first work in philosophy was in the field of logic. His major contributions are the two set-theoretic systems NF (1936) and ML (1940). 1 These systems were alternatives to the type theory of Principia Mathematica or Zermelo's set theory, and are still being studied by 2 mathematicians. An indirect contribution to the field of logic is his strong resistance to moda110gic. Quine's objectIons to the notions of necessity and analyticity have influenced the development of moda110gic? Quine has had an enormous influence on philosophy of mathematics. When Quine entered philosophy there was a discussion on the foundations of mathematics between the schools of intuitionism, formalism, and conventionalism. Quine soon took issue with Carnap's conventionalism in "Truth by convention,,4 (1936). Quine has never joined one of the other schools, but has added new elements that are the basic ones of the 5 contemporary schools of nominalism, platonism, and structuralism. Quine has long been in the shadow of Benacerraf and Putnam in this field. At the moment there seems to be a renewed interest in Quine's work, and most philosophers explicitly refer to Quine's work.

Download or read book The Frame Problem in Artificial Intelligence written by Frank M. Brown and published by Morgan Kaufmann. This book was released on 2014-05-12 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Frame Problem in Artificial Intelligence: Proceedings of the 1987 Workshop focuses on the approaches, principles, and concepts related to the frame problem in artificial intelligence (AI). The selection first tackles the definition of the frame problem, circumscription approaches and criticisms, modal logic approaches, and syntactic consistency approaches. The text then takes a look at two frame problems, frame problem in AI, and the frame problem in AI histories, including frame problem defined, mathematical frame problem, commonsense frame problem, and the problems of qualification and extended prediction and their relation to the frame problem. The publication examines tense-logic-based mitigation of the frame problem, unframing the frame problem, a truth maintenance based approach to the frame problem, and qualification problem. Topics include possible worlds, qualification and possible worlds, epistemological issues, truth maintenance, contradiction handling, application of intensional logic, development and implementation of chronolog, and approaches to solving the frame problem. The selection is a dependable source of data for researchers interested in the frame problem.

Download or read book Causality in Sociological Research written by Jakub Karpinski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general treatment of problems connected with the causal conditioning of phenomena has traditionally been the domain of philosophy, but when one examines the relationships taking place in the various fields, the study of such conditionings belongs to the empirical sciences. Sociology is no exception in that respect. In that discipline we note a certain paradox. Many problems connected with the causal conditioning of phenomena have been raised in sociology in relatively recent times, and that process marked its empirical or even so-called empiricist trend. That trend, labelled positivist, seems in this case to be in contradiction with a certain type of positivism. Those authors who describe positivism usually include the Humean tradition in its genealogy and, remembering Hume's criticism of the concept of cause, speak about positivism as about a trend which is inclined to treat lightly the study of causes and confines itself to the statements on co-occurrence of phenomena.

Download or read book Representational Ideas written by R. A. Watson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Representational Ideas: From Plato to Patricia Churchland Watson argues that all intelligible theories of representation by ideas are based on likeness between representations and objects. He concludes that 17th century materialist criticisms of `having' mental representations in the mind apply to contemporary material representations in the brain, as proposed by neurophilosophers. The argument begins with Plato, with particular stress on Descartes, Malebranche, and Arnauld. He then proceeds with an examination of the picture theory developed by Wittgenstein, Carnap, and Goodman, and concludes with an examination of Patricia Churchland, Ruth Millikan, Robert Cummins, and Mark Rollins. The use of the historical development of representationalism to pose a central problem in contemporary cognitive science is unique. For students, scholars and researchers in neuroscience, cognitive science, philosophy of mind, and modern philosophy.

Download or read book Consequences of Reference Failure written by Michael McKinsey and published by Taylor & Francis. This book was released on 2019-11-11 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book defends the Direct Reference (DR) thesis in philosophy of language regarding proper names and indexical pronouns. It uniquely draws out the significant consequences of DR when it is conjoined with the fact that these singular terms sometimes fail to refer. Even though DR is widely endorsed by philosophers of language, many philosophically important and radically controversial consequences of the thesis have gone largely unexplored. This book makes an important contribution to the DR literature by explicitly addressing the consequences that follow from DR regarding failure of reference. Michael McKinsey argues that only a form of neutral free logic can capture a revised concept of logical truth that is consistent with the fact that any sentence of any form that contains a directly referring genuine term can fail to be either true or false on interpretations where that term fails to refer. He also explains how it is possible for there to be true (or false) sentences that contain non-referring names, even though this possibility seems inconsistent with DR. Consequences of Reference Failure will be of interest to philosophers of language and logic and linguists working on Direct Reference.

Download or read book Handbook of Modal Logic written by Patrick Blackburn and published by Elsevier. This book was released on 2006-11-03 with total page 1260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth

Download or read book Structures in Science written by Theo A.F. Kuipers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there is an abundance of highly specialized monographs, learned collections and general introductions to the philosophy of science, only a few 25 years. synthetic monographs and advanced textbooks have appeared in the last The philosophy of science seems to have lost its self-confidence. The main reason for such a loss is that the traditional analytical, logical-empiricist approaches to the philosophy of science had to make a number of concessions, especially in response to the work of Popper, Kuhn and Lakatos. With Structures in Science I intend to present both a synthetic mono graph and an advanced textbook that accommodates and integrates the insight of these philosophers, in what I like to call a neo-classical approach. The resulting monograph elaborates several important topics from one or more perspectives, by distinguishing various kinds of research programs, and various ways of explaining and reducing laws and concepts, and by summarizing an integrated explication (presented in From Instrumentalism to Constructive Realism, ICR) of the notions of confirmation, empirical progress and truth approximation.

Download or read book Probability Theory written by Vincent F. Hendricks and published by Springer Science & Business Media. This book was released on 2001-06-30 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers presented at the conference on Probability Theory - Philosophy, Recent History and Relations to Science, University of Roskilde, Denmark, September 16-18, 1998. Since the measure theoretical definition of probability was proposed by Kolmogorov, probability theory has developed into a mature mathematical theory. It is today a fruitful field of mathematics that has important applications in philosophy, science, engineering, and many other areas. The measure theoretical definition of probability and its axioms, however, are not without their problems; some of them even puzzled Kolmogorov. This book sheds light on some recent discussions of the problems in probability theory and their history, analysing their philosophical and mathematical significance, and the role pf mathematical probability theory in other sciences.