Logic and Its Applications

Logic and Its Applications
Author: R. Ramanujam
Publisher: Springer Science & Business Media
Total Pages: 278
Release: 2009-02-13
Genre: Computers
ISBN: 354092700X

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

Materials for the Study of Navya-Nyaya Logic
Author: Daniel H.H. Ingalls
Publisher: Motilal Banarsidass
Total Pages: 181
Release: 1988-01-01
Genre: Philosophy
ISBN: 8120803841

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.

Studies in Logic

Studies in Logic
Author: Madhabendra Nath Mitra
Publisher: Sanctum Books
Total Pages: 453
Release: 2023-05-11
Genre: Philosophy
ISBN: 8190995030

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

Logic, Language and Meaning
Author: Maria Aloni
Publisher: Springer
Total Pages: 484
Release: 2010-09-21
Genre: Computers
ISBN: 3642142877

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).

Handbook of Logical Thought in India

Handbook of Logical Thought in India
Author: Sundar Sarukkai
Publisher: Springer Nature
Total Pages: 1339
Release: 2022-11-04
Genre: Philosophy
ISBN: 8132225775

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, Navya-Nyāya, & Applications

Logic, Navya-Nyāya, & Applications
Author: Mihir Chakraborty
Publisher:
Total Pages: 0
Release: 2008
Genre: Philosophy
ISBN: 9781904987444

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).

Towards the Future of Fuzzy Logic

Towards the Future of Fuzzy Logic
Author: Rudolf Seising
Publisher: Springer
Total Pages: 382
Release: 2015-05-26
Genre: Technology & Engineering
ISBN: 3319187503

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

Facets of Uncertainties and Applications
Author: Mihir K. Chakraborty
Publisher: Springer
Total Pages: 340
Release: 2015-05-11
Genre: Mathematics
ISBN: 8132223012

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.

The Nyaya Theory of Knowledge

The Nyaya Theory of Knowledge
Author: Satischandra Chatterjee
Publisher: Motilal Banarsidass
Total Pages: 387
Release: 2016-01-01
Genre: Philosophy
ISBN: 8120840828

As a system of realism, the Nyëya deserves special study to show that Idealism was not the only philosophical creed of ancient India. This book is an attempt to give a complete account of the Nyëya theory of knowledge in comparison with the rival theories of other systems, Indian and Western, and critical estimation of its worth. Though theories of knowledge of the Vedënta and other schools have been partially studied in this way by some, there has as yet been no such systematic, critical and comparative treatment of the Nyëya epistemology, The importance of such a study of Indian realistic theories of knowledge can scarcely be overrated in this modern age of Realism.

J. Michael Dunn on Information Based Logics

J. Michael Dunn on Information Based Logics
Author: Katalin Bimbo
Publisher: Springer
Total Pages: 469
Release: 2016-04-02
Genre: Philosophy
ISBN: 3319293001

This book celebrates and expands on J. Michael Dunn’s work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn’s research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or "gaggles"). Dunn’s latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information. The book opens with Dunn’s autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics. The publication of this book is well timed, since we are living in an "information age.” Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.