Logic and Its Applications


Book Description

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 5th volume of the FoLLI LNAI subline. It contains the refereed proceedings of the Third Indian Conference on Logic and Its Applications, ICLA 2009, held in Chennai, India, in January 2009. The 12 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from numerous submissions. The papers present current research in all aspects of formal logic. They address in detail: algebraic logic and set theory, combinatorics and philosophical logic, modal logics with applications to computer science and game theory, and connections between ancient logic systems and modern systems.




Materials for the Study of Navya-Nyaya Logic


Book Description

Authorship of the great sanskrit language epic poem of India, the Mahabharat, is attributed to the sage krsna Dvaipayana Vyasa. This study focuseson the depictionof vyasa in the Mahabharata, where he is an important character in the tale he is credited, with composing. The interpretation of vyasa is enriched by the different perspectives provided by other literature, including dramas, Jataka tales, Arthasastra, and Puranas.




Logic, Navya-Nyāya, & Applications


Book Description

The proceedings volume of the International Conference on Logic, Navya-Nyāya & Applications, held January 3-7, 2007 in Kolkata (Calcutta), India. The Conference aimed to bring together Western/modern logic and traditional Indian systems of logic (especially, the Navya-Nyāya system) with related focus on the work of and in memory of Bimal Krishna Matilal (1935-1991).




Studies in Logic


Book Description

Ten essays of this book, two of which are written in Sanskrit, range from modern logic to classical Indian theories of inference. Classical Indian philosophy comprising Pracina and Navya- Nyaya, Sankhya, Buddhist and Jaina logical and philosophical standpoints are discussed in most modern technical terms of western philosophy, often with the aid of terminologies of modern logic. Similarly, western ideas propounded by the ancient Greek philosophers like Aristotle as well as contemporary philosophers such as Frege, Russell, Srawson, Kripke and many others are placed against the backdrop of classical Indian philosophy. The book will be immensely useful to those interested in stimulating meaningful dialogues between philosophical thinkings of India and the West. The book will also be of interest to those who aim at broadening the horizon of logic and philosophy.




Logic, Language and Meaning


Book Description

This book contains the revised papers presented at the Amsterdam Colloquium 2009, held in Amsterdam, The Netherlands, in December 2009. The 41 thoroughly refereed and revised contributions presented together with the revised abstracts of 5 invited talks are organized in five sections: the first section contains extended abstracts of the talks given by the invited speakers; the second, third and fourth sections contain invited and submitted contributions to the three thematic workshops hosted by the colloquium: the Workshop on Implicature and Grammar, the Workshop on Natural Logic, and the Workshop on Vagueness; the final section consists of submissions to the general program. The topics covered range from descriptive (syntactic and semantic analyses of all kinds of expressions) to theoretical (logical and computational properties of semantic theories, philosophical foundations, evolution and learning of language).




Towards the Future of Fuzzy Logic


Book Description

This book provides readers with a snapshot of the state-of-the art in fuzzy logic. Throughout the chapters, key theories developed in the last fifty years as well as important applications to practical problems are presented and discussed from different perspectives, as the authors hail from different disciplines and therefore use fuzzy logic for different purposes. The book aims at showing how fuzzy logic has evolved since the first theory formulation by Lotfi A. Zadeh in his seminal paper on Fuzzy Sets in 1965. Fuzzy theories and implementation grew at an impressive speed and achieved significant results, especially on the applicative side. The study of fuzzy logic and its practice spread all over the world, from Europe to Asia, America and Oceania. The editors believe that, thanks to the drive of young researchers, fuzzy logic will be able to face the challenging goals posed by computing with words. New frontiers of knowledge are waiting to be explored. In order to motivate young people to engage in the future development of fuzzy logic, fuzzy methodologies, fuzzy applications, etc., the editors invited a team of internationally respected experts to write the present collection of papers, which shows the present and future potentials of fuzzy logic from different disciplinary perspectives and personal standpoints.




Facets of Uncertainties and Applications


Book Description

Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.




Modern Uses of Multiple-Valued Logic


Book Description

This is a collection of invited papers from the 1975 International Sym posium on Multiple-valued Logic. Also included is an extensive bib liography of works in the field of multiple-valued logic prior to 1975 - this supplements and extends an earlier bibliography of works prior to 1965, by Nicholas Rescher in his book Many-Valued Logic, McGraw-Hill, 1969. There are a number of possible reasons for interest in the present volume. First, the range of various uses covered in this collection of papers may be taken as indicative of a breadth which occurs in the field of multiple-valued logic as a whole - the papers here can do no more than cover a small sample: question-answering systems, analysis of computer hazards, algebraic structures relating to multiple-valued logic, algebra of computer programs, fuzzy sets. Second, a large part of the interest in such uses and applications has occurred in the last twenty, even ten years. It would be too much to expect this to be reflected in Rescher's 1969 book. Third, in the 1970's a series of annual symposia have been held on multiple-valued logic, which have brought much of this into a sharp focus. * The 1971 and 1972 symposia were held at the SUNY at Buffalo, the 1973 symposium at the Uni versity of Toronto, and the 1974 symposium at West Virginia Uni versity. Papers from these symposia are included in the bibliography which may be found in an appendix of this book.




Handbook of Logical Thought in India


Book Description

This collection of articles is unique in the way it approaches established material on the various logical traditions in India. Instead of classifying these traditions within Schools as is the usual approach, the material here is classified into sections based on themes ranging from Fundamentals of ancient logical traditions to logic in contemporary mathematics and computer science. This collection offers not only an introduction to the key themes in different logical traditions such as Nyaya, Buddhist and Jaina, it also highlights certain unique characteristics of these traditions as well as contribute new material in the relationship of logic to aesthetics, linguistics, Kashmir Saivism as well as the forgotten Tamil contribution to logic.




Logic and Metalogic


Book Description