Investigations In Modal And Tense Logics With Applications To Problems In Philosophy And Linguistics
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Investigations In Modal And Tense Logics With Applications To Problems In Philosophy And Linguistics
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Author : Dov M. Gabbay
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Investigations In Modal And Tense Logics With Applications To Problems In Philosophy And Linguistics written by Dov M. Gabbay 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 Philosophy categories.
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.
Semantical Investigations In Heyting S Intuitionistic Logic
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Author : Dov M. Gabbay
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Semantical Investigations In Heyting S Intuitionistic Logic written by Dov M. Gabbay 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 2013-11-11 with Philosophy categories.
From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be of interest to the intuitionist mathematician. Originally, I intended to include more material in that spirit but I decided against it. There is no coherent body of material to include that builds naturally on the present book. There are some serious results on topological models, second order Beth and Kripke models, theories of types, etc., but it would require further research to be able to present a general theory, possibly using sheaves. That would have postponed pUblication for too long. I would like to dedicate this book to my colleagues, Professors G. Kreisel, M.O. Rabin and D. Scott. I have benefited greatly from Professor Kreisel's criticism and suggestions. Professor Rabin's fun damental results on decidability and undecidability provided the powerful tools used in obtaining the majority of the results reported in this book. Professor Scott's approach to non-classical logics and especially his analysis of the Scott consequence relation makes it possible to present Heyting's logic as a beautiful, integral part of non-classical logics.
Handbook Of Philosophical Logic
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Author : Dov M. Gabbay
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Handbook Of Philosophical Logic written by Dov M. Gabbay 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 Philosophy categories.
The chapters in the present volume go beyond 'classical' extensional logic with respect to one important factor: they all include among the semantic constituents representations of so-called 'possible worlds'. The inclusion of such 'indices' has turned out to be the semantic mainstay in dealing with a number of issues having to do with intensional features of natural and artificial languages. It is, of course, an open question whether 'possible world' semantics is in the final analysis the proper solution to the many problems and puzzles intensional constructions raise for the logical analysis of the many varieties of discourse. At present, there seem to be about as many opponents as proponents with regard to the usefulness of having the semantics of intensional languages based on possible world constructs. Some attempts to come to grips with intensional phenomena which are not couched in the possible world framework are discussed in Volume IV of the Handbook. Chapter 1 is an extensive survey of the main systems of (propositional) modal logic including the most important meta-mathematical results and the techniques used in establishing these. It introduces the basic terminology and semantic machinery applied in one way or another in many of the subsequent chapters. Chapter 2 discusses the most significant developments in (propositional) tense logic which can of course be regarded as a special kind of modal logic, where the possible world indices are simply (ordered) moments of time.
Justice Law And Argument
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Author : Ch. Perelman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Justice Law And Argument written by Ch. Perelman 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 Philosophy categories.
This collection contains studies on justice, juridical reasoning and argumenta tion which contributed to my ideas on the new rhetoric. My reflections on justice, from 1944 to the present day, have given rise to various studies. The ftrst of these was published in English as The Idea of Justice and the Problem of Argument (Routledge & Kegan Paul, London, 1963). The others, of which several are out of print or have never previously been published, are reunited in the present volume. As justice is, for me, the prime example of a "confused notion", of a notion which, like many philosophical concepts, cannot be reduced to clarity without being distorted, one cannot treat it without recourse to the methods of reasoning analyzed by the new rhetoric. In actuality, these methods have long been put into practice by jurists. Legal reasoning is fertile ground for the study of argumentation: it is to the new rhetoric what mathematics is to formal logic and to the theory of demonstrative proof. It is important, then, that philosophers should not limit their methodologi cal studies to mathematics and the natural sciences. They must not neglect law in the search for practical reason. I hope that these essays lead to be a better understanding of how law can enrich philosophical thought. CH. P.
A Boole Anthology
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Author : James Gasser
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
A Boole Anthology written by James Gasser 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 2013-11-11 with Philosophy categories.
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.
New Studies In Deontic Logic
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Author : R. Hilpinen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Studies In Deontic Logic written by R. Hilpinen 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 Philosophy categories.
The present volume is a sequel to Deontic Logic: Introductory and Systematic Readings (D. Reidel Publishing Company, Dordrecht 1971): its purpose is to offer a view of some of the main directions of research in contemporary deontic logic. Most of the articles included in Introductory and Systematic Readings represent what may be called the standard modal approach to deontic logic, in which de on tic logic is treated as a branch of modal logic, and the normative concepts of obligation, permission and prohibition are regarded as analogous to the "alethic" modalities necessity, possibility and impossibility. As Simo Knuuttila shows in his contribution to the present volume, this approach goes back to late medieval philosophy. Several 14th century philosophers observed the analogies between deontic and alethic modalities and discussed the deontic interpretations of various laws of modal logic. In contemporary deontic logic the modal approach was revived by G. H. von Wright's classic paper 'Deontic Logic' (1951). Certain analogies between deontic and alethic modalities are obvious and uncontroversial, but the standard approach has often been criticized on the ground that it exaggerates the analogies and tends to ignore those features of normative concepts which distinguish them from other modalities.
Language Mind And Art
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Author : D. Jamieson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Language Mind And Art written by D. Jamieson 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 2013-03-09 with Philosophy categories.
This book is a collection of essays in honor of Paul Ziff written by his col leagues, students, and friends. Many of the authors address topics that Ziff has discussed in his writings: understanding, rules and regularities, proper names, the feelings of machines, expression, and aesthetic experience. Paul Ziff began his professional career as an artist, went on to study painting with J. M. Hanson at Cornell, and then studied for the Ph. D. in philosophy, also at Cornell, with Max Black. Over the next three decades he produced a series of remarkable papers in philosophy of art, culminating in 1984 with the publica tion of Antiaesthetics: An Appreciation of the Cow with the Subtile Nose. In 1960 he published Semantic Analysis, his masterwork in philosophy of lan guage. Throughout his career he made important contributions to philosophy of mind in such papers as "The Simplicity of Other Minds" (1965) and "About Behaviourism" (1958). In addition to his work in these areas, his lec tures at Harvard on philosophy of religion are an underground classic; and throughout his career he has continued to make art and to search for the meaning of life in the properties of prime numbers. Although his interests are wide and deep, questions about language, art, and mind have dominated his philosophical work, and it is problems in these areas that provide the topics of most of the essays in this volume.
Structures In Science
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Author : Theo A.F. Kuipers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Structures In Science written by Theo A.F. Kuipers 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 Science categories.
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.
Visualization Explanation And Reasoning Styles In Mathematics
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Author : P. Mancosu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Visualization Explanation And Reasoning Styles In Mathematics written by P. Mancosu 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 2006-03-30 with Mathematics categories.
In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.
The Dynamics Of Thought
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Author : Peter Gardenfors
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-10
The Dynamics Of Thought written by Peter Gardenfors 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 2005-11-10 with Philosophy categories.
This book is a selection from the articles that I have written over a period of more than twenty years. Since the focus of my research interests has shifted several times during this period, it would be difficult to identify a common theme for all the papers in the volume. Following the Swedish tradition, I therefore present this as a smörgåsbord of philosophical and cognitive issues that I have worked on. To create some order, I have organized the sixteen papers into five general sections: (1) Decision theory; (2) belief revision and nonmonotonic logic; (3) induction; (4) semantics and pragmatics; and (5) cognition and evolution. Having said this, I still think that there is a common theme to my work over the years: The dynamics of thought. My academic interests have all the time dealt with aspects of how different kinds of knowledge should be represented, and, in particular, how changes in knowledge will affect thinking. Hence the title of the book.