Mathematical logic

This comprehensive two-volume work is devoted to the most general beginnings of mathematics.

The Art of Proof is designed for a one-semester or two-quarter course.

as anywhere today, it is becoming more d- ficult to tell the truth.

This is the first of two volumes comprising the papers submitted for publication by the invited participants to the Tenth International Congress of Logic, Methodology and Philosophy of Science, held in Florence, August 1995.

A Petri net is a mathematical representation of a network.

This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics.

Semiorder is probably one of the most frequently ordered structures in science.

Berto's highly readable and lucid guide introduces students and the interested reader to G del's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from G del's arguments.

Learn how to develop your reasoning skills and how to writewell-reasoned proofs Learning to Reason shows you how to use the basic elements ofmathematical language to develop highly sophisticated, logicalreasoning skills.

In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere.

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.

The present monograph is a slightly revised version of my Habilitations- schrift Proof-theoretic Aspects of Intensional and Non-Classical Logics, successfully defended at Leipzig University, November 1997.

Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory.

Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets.

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Absolute values and their completions -like the p-adic number fields- play an important role in number theory.

It took many decades for Peirce's coneept of a relation to find its way into the microelectronic innards of control systems of eement kilns, subway trains, and tunnel-digging machinery.

The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics.

Offering a bold new vision on the history of modern logic, Lukas M.

In the last decade, both scholars and practitioners have sought novel ways to address the problem of cybersecurity.

Hilbert's Program was founded on a concern for the phenomenon of paradox in mathematics.

Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, covering classical topics of mathematical logic.

Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role.

Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications.

The present collection of papers derives from a philosophy conference organised in the Sicilian town of M ussomeli in September 1991.

A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.

AN INDISPENSABLE RESOURCE FOR ALL THOSE WHO DESIGN AND IMPLEMENT TYPE-1 AND TYPE-2 FUZZY NEURAL NETWORKS IN REAL TIME SYSTEMSDelve into the type-2 fuzzy logic systems and become engrossed in the parameter update algorithms for type-1 and type-2 fuzzy neural networks and their stability analysis with this book!

Problems in decision making and in other areas such as pattern recogni- tion, control, structural engineering etc.

The bulk of this volume consists of invited addresses presented at the Colloquium.

Although the ?

This textbook introduces enumerative combinatorics through the framework of formal languages and bijections.

This book is the first of a series of technical reports of a key research project of the Real-World Computing Program supported by the MITI of Japan.

Gerhard Gentzen has been described as logic's lost genius, whom Godel called a better logician than himself.

The book is a concise, self-contained and fully updated introduction to automata theory - a fundamental topic of computer sciences and engineering.

Finite Fields are fundamental structures of Discrete Mathematics.

This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics.

When I first participated in exploring theories of nonmonotonic reasoning in the late 1970s, I had no idea of the wealth of conceptual and mathematical results that would emerge from those halting first steps.

With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.

Frege is widely regarded as having set much of the agenda of contemporary analytic philosophy.

The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present.

This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world.

This book discusses the evolution of security and privacy issues and brings related technological tools, techniques, and solutions into one single source.

From the Rosetta Stone to public-key cryptography, the art and science of cryptology has been used to unlock the vivid history of ancient cultures, to turn the tide of warfare, and to thwart potential hackers from attacking computer systems.