The proceedings publishes research results on the following disciplines: philosophy and epistemology, history and philosophy of science, mathematics, logic and computer science, social sciences, linguistics, cognitive sciences, artificial intelligence, general systems and operational research.
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
The advent of mathematical software has been one of the most important events in mathematics. Mathematical software systems are used to construct examples, to prove theorems, and to find new mathematical phenomena. On the other hand, mathematical research often motivates developments of new algorithms and new systems.This volume contains the papers presented at the First International Congress of Mathematical Software, which aimed at a coherent study of mathematical software systems from a wide variety of branches of mathematics. The book discusses more than one hundred mathematical software systems. Readers can get an overview of the current status of the arts of mathematical software and algorithms.The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
This volume presents the proceedings of the 5th International Conference on Logic Programming and Automated Reasoning, held aboard the ship "Marshal Koshevoi" on the Dnieper near Kiev, Ukraine in July 1994. The LPAR conferences are held annually in the former Soviet Union and aimed at bringing together researchers interested in LP and AR. This proceedings contains the full versions of the 24 accepted papers evaluated by at least three referees ensuring a program of highest quality. The papers cover all relevant aspects of LP and AR ranging from theory to implementation and application.
Kurt Gödel, together with Bertrand Russell, is the most important name in logic, and in the foundations and philosophy of mathematics of this century. However, unlike Russel, Gödel the mathematician published very little apart from his well-known writings in logic, metamathematics and set theory. Fortunately, Gödel the philosopher, who devoted more years of his life to philosophy than to technical investigation, wrote hundreds of pages on the philosophy of mathematics, as well as on other fields of philosophy. It was only possible to learn more about his philosophical works after the opening of his literary estate at Princeton a decade ago. The goal of this book is to make available to the scholarly public solid reconstructions and editions of two of the most important essays which Gödel wrote on the philosophy of mathematics. The book is divided into two parts. The first provides the reader with an incisive historico-philosophical introduction to Gödel's technical results and philosophical ideas. Written by the Editor, this introductory apparatus is not only devoted to the manuscripts themselves but also to the philosophical context in which they were written. The second contains two of Gödel's most important and fascinating unpublished essays: 1) the Gibbs Lecture ("Some basic theorems on the foundations of mathematics and their philosophical implications", 1951); and 2) two of the six versions of the essay which Gödel wrote for the Carnap volume of the Schilpp series The Library of Living Philosophers ("Is mathematics syntax of language?", 1953-1959).
Annotation. This book constitutes the refereed proceedings of the 17th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR-17, held in Yogyakarta, Indonesia, in October 2010. The 41 revised full papers presented were carefully reviewed and selected from 133 submissions.
Knowledge representation is at the very core of a radical idea for understanding intelligence. Instead of trying to understand or build brains from the bottom up, its goal is to understand and build intelligent behavior from the top down, putting the focus on what an agent needs to know in order to behave intelligently, how this knowledge can be represented symbolically, and how automated reasoning procedures can make this knowledge available as needed. This landmark text takes the central concepts of knowledge representation developed over the last 50 years and illustrates them in a lucid and compelling way. Each of the various styles of representation is presented in a simple and intuitive form, and the basics of reasoning with that representation are explained in detail. This approach gives readers a solid foundation for understanding the more advanced work found in the research literature. The presentation is clear enough to be accessible to a broad audience, including researchers and practitioners in database management, information retrieval, and object-oriented systems as well as artificial intelligence. This book provides the foundation in knowledge representation and reasoning that every AI practitioner needs. - Authors are well-recognized experts in the field who have applied the techniques to real-world problems - Presents the core ideas of KR&R in a simple straight forward approach, independent of the quirks of research systems - Offers the first true synthesis of the field in over a decade
This book offers new perspectives and paradigms in science, specifically to point out novel characteristics in natural processes. The issues are discussed by outstanding scientists from among the most advanced fields of science, who bring with them various points of the scientific horizon and widely different new experimental evidence.