Mathematical logic Books

This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra,...

The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. It is also viewed as a foundation of mathematics so that "to make a notion precise"...

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as...

Do you like to use your spare moments indulging in Sudoku? This collection is a real treat for anyone who loves Sudoku. Are you ready to rise to the ultimate brain-training challenge?Packed into a paperback sized book, Sudoku - 200 Classic...

The study of creative, diagnostic, visual, spatial, analogical, and temporal reasoning has demonstrated that there are many ways of performing intelligent and creative reasoning that cannot be described with the help only of traditional notions of...

Many mathematical and computational concepts can be represented in a natural way using higher-order logic. Consequently, higher-order logic has become an important topic of research. /Automated Reasoning in Higher-Order Logic/ presents both a...

Advances in Modal Logic is a unique international forum for presenting the latest results and new directions of research in modal logic broadly conceived. The topics dealt with are of interdisciplinary interest and range from mathematical, computational,...

The sub-field of mathematics that focuses on identifying the applications of formal logic to mathematics is known as mathematical logic. It is also known as symbolic logic or formal logic. It is concerned with the study of expressive and deductive power...

On the history of the book: In the early 1990s several new methods and perspectives in au- mated deduction emerged. We just mention the superposition calculus, meta-term inference and schematization, deductive decision...

In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated...

"In the mathematics I can report no deficience, except that it be that men do not sufficiently understand the excellent use of the pure mathematics, in that they do remedy and cure many defects in the wit and faculties...

""Neuer Grundriss der Logik"" ist ein Buch, das im Jahr 1878 von Ignaz Pokorny ver������ffentlicht wurde. Das Buch ist eine umfassende Einf�����hrung in die Logik und behandelt Themen wie die Definition von Begriffen, die Beziehung zwischen Aussagen und...

""Neue Darstellung der Logik nach ihren einfachsten Verh�����ltnissen"" ist ein Buch von Moritz Wilhelm Drobisch, das 1851 ver������ffentlicht wurde. Es ist eine Studie �����ber die Grundlagen der Logik und bietet eine neue Darstellung der Disziplin, die...

A seminal work in the field of mathematics, written by George Boole, which laid the foundation for modern symbolic logic.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know...

Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and...

During the last few decades the ideas, methods, and results of the theory of Boolean algebras have played an increasing role in various branches of mathematics and cybernetics. This monograph is devoted to the fundamentals...

This volume contains the proceedings of the Second Joint IFSA-EC and EURO-WGFS Workshop on Progress in Fuzzy Sets in Europe held on April 6 -8, 1989 in Vienna, Austria. The workshop was organized by Prof. Dr. Wolfgang H. Janko...

In the fall of 1985 Carnegie Mellon University established a Department of Philosophy. The focus of the department is logic broadly conceived, philos­ ophy of science, in particular of the social sciences, and linguistics. To...

The monograph is a 'de-construction' of Kurt Godel's Incompleteness Theorem's paradox sentence's used to prove that no formal systems of logic or mathematics can exist. The semantic valuation of the 'meaning' behind the sentences used for the paradox is...

Können Sie sich vorstellen, dass in einem Wettrennen ein Läufer nicht eine Schildkröte einholen kann? Genau das hat der griechische Philosoph Zenon von Elea vor rund 2500 Jahren behauptet und einen Beweis dafür gleich mitgeliefert. Sein Kollege Eubulides...

Among the dreams of mankind is the one dealing with the mecha­ nization of human thought. As the world today has become so complex that humans apparently fail to manage it properly with their intellectual gifts, the realization...

Gregory Bateson -Biologe, Anthropologe, Psychiater, Systemtheoretiker -erziihlt in der Ein­ leitung zu seinem Buch Geist und Natur1 eine Geschichte: Ein Mann gibt in seinen Computer die Frage ein: "Wirst Du jemals denken wie...

Der Inhalt dieses Buches gehort zum mittlerweile festen Reper­ toire des theoretischen Teils der Informatik. Den Schwerpunkt der angestellten Untersuchungen bilden die kontextfreien Sprachen, deren An~endungen bei weitem die...

Kurt Gödel (1906–1978) was born in Austria-Hungary (now the Czech Republic) and grew up in an ethnic German family. As a student, he excelled in languages and mathematics, mastering university-level math while still in high school. He...

Time and Space in Formal Logic begins with an analysis of assumptions about how logic and language relate. Then in the first section, times are taken to be established by true propositions, and those are related as before and after with temporal...

A travers cet ouvrage nous produisons un lien spécifique entre l'épistémologie et la logique épistémique.Si de nombreuses tentatives de conciliation entre logique épistémique et épistémologie se sont avérées fructueuses, c'est la possibilité d'une étude...

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2014, Hejnice, the Czech Republic. The articles range over mathematical and philosophical logic, history and philosophy of logic,...

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2012, Hejnice, the Czech Republic. The articles range over mathematical and philosophical logic, history and philosophy of logic,...

Logique Dynamique de la Fiction is a masterly piece of work and a substantial contribution to a disciplined understanding of human thought and discourse about the unreal. It is, in that very respect, a logic working at the very heart of les sciences...

Intelligent Hybrid Systems: Fuzzy Logic, Neural Networks, and Genetic Algorithms is an organized edited collection of contributed chapters covering basic principles, methodologies, and applications of fuzzy systems, neural...

As of today, Evolutionary Computing and Fuzzy Set Computing are two mature, wen -developed, and higbly advanced technologies of information processing. Bach of them has its own clearly defined research agenda, specific goals to...

Aggregation plays a central role in many of the technological tasks we are faced with. The importance of this process will become even greater as we move more and more toward becoming an information-cent.ered society, us is...

Synthesis of Finite State Machines: Functional Optimization is one of two monographs devoted to the synthesis of Finite State Machines (FSMs). This volume addresses functional optimization, whereas the second addresses logic...

Introduction to Fuzzy Reliability treats fuzzy methodology in hardware reliability and software reliability in a relatively systematic manner. The contents of this book are organized as follows. Chapter 1 places reliability...

This volume contains seventeen essays in the history of modern mathematical logic. The first nine are concerned with the completeness of various logical calculi. The second five essays deal with the completeness of classical first-order predicate logic...

This volume is dedicated to the memory of Paulo A. S. Veloso (1944-2020), a distinguished Brazilian logician. Veloso's scientific contributions are disseminated in the most important areas related to logic: computer science, mathematics and...

Contemporary argumentation studies continue a tradition founded by Aristotle, Cicero, Quintilian and others. Since the end of the Second World War, they have been vigorously taken over and reoriented by different schools of thought, stressing their link...

This volume is dedicated to a distinguished logician, Walter Alexandre Carnielli, celebrating his 60th birthday.The honoree's contributions to contemporary logic range from innovative tableaux techniques, to the development of the foundations and...

Modern logic is an active agent all across the university today, connecting disciplines, and transcending traditional boundaries. This book demonstrates this general role in the special setting of a conference at Tsinghua University, where modern logic...

This Festschrift is published on the occasion of Gerhard Heinzmann's 60th birthday. Its title "Construction" refers to Heinzmann's philosophical options (intuitionism, dialogical pragmatism, constructivism), as well as to his exceptional involvement in...

Fuzzy logic has developed into an important means of solving problems in all domains. It has a huge impact on the design of autonomous intelligent systems. This book discusses hybrid algorithms, techniques, and implementations of fuzzy logic. The main...