Directions in Relevant Logic

Directions in Relevant Logic
Author: J. Norman
Publisher: Springer Science & Business Media
Total Pages: 450
Release: 2012-12-06
Genre: Philosophy
ISBN: 9400910053

Relevance logics came of age with the one and only International Conference on relevant logics in 1974. They did not however become accepted, or easy to promulgate. In March 1981 we received most of the typescript of IN MEMORIAM: ALAN ROSS ANDERSON Proceedings of the International Conference of Relevant Logic from the original editors, Kenneth W. Collier, Ann Gasper and Robert G. Wolf of Southern Illinois University. 1 They had, most unfortunately, failed to find a publisher - not, it appears, because of overall lack of merit of the essays, but because of the expense of producing the collection, lack of institutional subsidization, and doubts of publishers as to whether an expensive collection of essays on such an esoteric, not to say deviant, subject would sell. We thought that the collection of essays was still (even after more than six years in the publishing trade limbo) well worth publishing, that the subject would remain undeservedly esoteric in North America while work on it could not find publishers (it is not so esoteric in academic circles in Continental Europe, Latin America and the Antipodes) and, quite important, that we could get the collection published, and furthermore, by resorting to local means, published comparatively cheaply. It is indeed no ordinary collection. It contains work by pioneers of the main types of broadly relevant systems, and by several of the most innovative non-classical logicians of the present flourishing logical period. We have slowly re-edited and reorganised the collection and made it camera-ready.

Relevant Logic

Relevant Logic
Author: Stephen Read
Publisher: Wiley-Blackwell
Total Pages: 199
Release: 1988-01-01
Genre: Philosophy
ISBN: 9780631161844

Logic, Language and Computation

Logic, Language and Computation
Author: S. Akama
Publisher: Springer Science & Business Media
Total Pages: 256
Release: 2012-12-06
Genre: Philosophy
ISBN: 9401156387

The editors of the Applied Logic Series are happy to present to the reader the fifth volume in the series, a collection of papers on Logic, Language and Computation. One very striking feature of the application of logic to language and to computation is that it requires the combination, the integration and the use of many diverse systems and methodologies - all in the same single application. The papers in this volume will give the reader a glimpse into the problems of this active frontier of logic. The Editors CONTENTS Preface IX 1. S. AKAMA Recent Issues in Logic, Language and Computation 1 2. M. J. CRESSWELL Restricted Quantification 27 3. B. H. SLATER The Epsilon Calculus' Problematic 39 4. K. VON HEUSINGER Definite Descriptions and Choice Functions 61 5. N. ASHER Spatio-Temporal Structure in Text 93 6. Y. NAKAYAMA DRT and Many-Valued Logics 131 7. S. AKAMA On Constructive Modality 143 8. H. W ANSING Displaying as Temporalizing: Sequent Systems for Subintuitionistic Logics 159 9. L. FARINAS DEL CERRO AND V. LUGARDON 179 Quantification and Dependence Logics 10. R. SYLVAN Relevant Conditionals, and Relevant Application Thereof 191 Index 245 Preface This is a collection of papers by distinguished researchers on Logic, Lin guistics, Philosophy and Computer Science. The aim of this book is to address a broad picture of the recent research on related areas. In particular, the contributions focus on natural language semantics and non-classical logics from different viewpoints.

Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
Total Pages: 418
Release: 2013-03-14
Genre: Philosophy
ISBN: 9401704600

such questions for centuries (unrestricted by the capabilities of any hard ware). The principles governing the interaction of several processes, for example, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based effective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. I believe the day is not far away in the future when the computer scientist will wake up one morning with the realisation that he is actually a kind of formal philosopher! The projected number of volumes for this Handbook is about 18. The subject has evolved and its areas have become interrelated to such an extent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupings of chapters. I would like to thank our authors are readers for their contributions and their commitment in making this Handbook a success. Thanks also to our publication administrator Mrs J. Spurr for her usual dedication and excellence and to Kluwer Academic Publishers for their continuing support for the Handbook.

New Directions in Relevant Logic

New Directions in Relevant Logic
Author: Igor Sedlár
Publisher: Springer
Total Pages: 0
Release: 2024-11-05
Genre: Philosophy
ISBN: 9783031699399

This book brings together contemporary work on relevant logics to showcase the recent progress of the field and set the stage for future research. The papers in the volume contribute to the formal and philosophical development of the field. They include contributions from different traditions and approaches ranging from philosophical discussions of the foundations of relevant, and related kinds of non-classical, logic to mathematical work concerning open technical problems in the field. This is the first edited collection on the topic in many years, and it includes contributions from established figures as well as younger generations of researchers. Relevant logics have recently seen a resurgence of interest and this volume will be an important resource for logicians working on substructural and relevant logics for years to come.

Relevance Logic

Relevance Logic
Author: Shay Allen Logan
Publisher: Cambridge University Press
Total Pages: 102
Release: 2024-04-30
Genre: Philosophy
ISBN: 1009227785

Relevance logics are a misunderstood lot. Despite being the subject of intense study for nearly a century, they remain maligned as too complicated, too abstruse, or too silly to be worth learning much about. This Element aims to dispel these misunderstandings. By focusing on the weak relevant logic B, the discussion provides an entry point into a rich and diverse family of logics. Also, it contains the first-ever textbook treatment of quantification in relevance logics, as well as an overview of the cutting edge on variable sharing results and a guide to further topics in the field.

The Routledge Handbook of Modality

The Routledge Handbook of Modality
Author: Otávio Bueno
Publisher: Routledge
Total Pages: 510
Release: 2020-12-30
Genre: Philosophy
ISBN: 1317585275

Modality - the question of what is possible and what is necessary - is a fundamental area of philosophy and philosophical research. The Routledge Handbook of Modality is an outstanding reference source to the key topics, problems and debates in this exciting subject and is the first collection of its kind. Comprising thirty-five chapters by a team of international contributors the Handbook is divided into seven clear parts: worlds and modality essentialism, ontological dependence, and modality modal anti-realism epistemology of modality modality in science modality in logic and mathematics modality in the history of philosophy. Within these sections the central issues, debates and problems are examined, including possible worlds, essentialism, counterfactuals, ontological dependence, modal fictionalism, deflationism, the integration challenge, conceivability, a priori knowledge, laws of nature, natural kinds, and logical necessity. The Routledge Handbook of Modality is essential reading for students and researchers in epistemology, metaphysics and philosophy of language. It will also be very useful for those in related fields in philosophy such as philosophy of mathematics, logic and philosophy of science.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Total Pages: 543
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401512337

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Epistemology of Modality and Philosophical Methodology

Epistemology of Modality and Philosophical Methodology
Author: Anand Jayprakash Vaidya
Publisher: Taylor & Francis
Total Pages: 393
Release: 2023-03-21
Genre: Philosophy
ISBN: 1000840433

This book collects original essays on the epistemology of modality and related issues in modal metaphysics and philosophical methodology. The contributors utilize both the newer "metaphysics-first" and the more traditional "epistemology-first" approaches to these issues. The chapters on modal epistemology mostly focus on the problem of how we can gain knowledge of possibilities, which have never been actualized, or necessities which are not provable either by logico-mathematical reasoning or by linguistic competence alone. These issues are closely related to some of the central issues in philosophical methodology, notably: to what extent is the armchair methodology of philosophy a reliable guide for the formation of beliefs about what is possible and necessary. This question also relates to the nature of thought experiments that are extensively used in science and philosophy. Epistemology of Modality and Philosophical Methodology will be of interest to researchers and advanced students working on the epistemology and metaphysics of modality, as well as those whose work is concerned with philosophical methodology more generally.