Mathematical logic Books

A set in mathematics is just a collection of elements; an example is the set of natural numbers {1, 2, 3, ...}.  Simplifying somewhat, the theory of sets can be regarded as the foundation on which the whole of mathematics is built; and the...

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This...

The idea of a knowledge base lies at the heart of symbolic or "good old-fashioned" artificial intelligence (GOFAI). A knowledge-based systemdecides how to act by running formal reasoning procedures over a body of explicitly represented knowledge, its...

Deontic logic deals with obligation, permission and related normative concepts. This textbook introduces three frameworks that have dominated the landscape of deontic logic: monadic deontic logic, dyadic deontic logic, and...

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2013, Hejnice, the Czech Republic. The articles range over mathematical and philosophical logic, history and philosophy of logic,...

1 Livro 1 Exercício Nível 2 da Coleção Os Elementos Seguindo a sequência de exercícios Peculiares Os 5500 Elementos vêm para testar seu raciocínio lógico, capacidade analítica e tediosamente a sua paciência! Devo avisar novamente, que ao...

Die 7. \sterreichische Artificial-Intelligence-Tagung fand vom 24.-27. September 1991 an der Technischen Universit{t Wien statt. Sie hat aufgrund der starken Beteiligung aus dem Ausland einen ausgepr{gt internationalen ...

In 1936 the notion of intuitive computability was operationalized in two different ways: via Turing machines and via lambda-calculus. The difference consisted in manipulating beads (bits) for the former approach versus manipulating trees (rewriting...

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal...

Logic deals with the fundamental notions oftruth and falsity. Modal logic arose from the philosophical study of "modes of truth" with the two most common modes being "necessarily true" and "possibly true". Research in modal logic now spans the spectrum...

Arguments have often been a topic of interest in the psychology of communication, typically with an emphasis on their persuasive features - an emphasis largely shared by at least one of the classical disciplines in argumentation studies, namely, rhetoric...

This book is a monograph on the topic of Proof-Theoretic Semantics, a theory of meaning constituting an alternative to the more traditional Model-Theoretic Semantics. The latter regards meaning as truth-conditions (in arbitrary models), the former...

Propositional logic allows for description and then solving of a significant class of constraint satisfaction problems, namely those that require that thedomains of variables are finite.As such, propositional logic finds applications in describing...

While intuitionistic (or constructive) set theory IST has received a certain attention from mathematical logicians, so far as I am aware no book providing a systematic introduction to the subject has yet been published. This may be the case in part...

This book is the first ever monograph on the topic of Connexive logics, a family of non-classical logics, based on the intuition that a proposition cannot validly imply, nor be implied, by its own negation. Similar to Relevance logics, Connexive logics...

The book contains 8 detailed expositions of the lectures given at the Kaikoura 2000 Workshop on Computability, Complexity, and Computational Algebra. Topics covered include basic models and questions of complexity theory, the Blum-Shub-Smale model of...

Math problems can be scary and confusing. Author Jennifer Harris has extensive experience teaching math at a variety of grade levels and knows the importance of teaching to every learning style. Solving Word Problems: I Just Don't Get It-Now You Can!...

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal...

The Handbook of Formal Argumentation is a community effort aimed at providing a comprehensive and up-to-date view of the state of the art and current trends in the lively research field of formal argumentation. In recent years, this field has matured to...

This volume is a homage to the computer scientist and philosopherTarcísio Haroldo Cavalcante Pequeno. Tarcísio dedicated his researchto subjects ranging from logic to philosophy through artificialintelligence, theoretical computer science...

DEON 2018’s special focus is “Deontic reasoning for responsible AI”.The successes of Artificial Intelligence over the last few years have brought to the fore a new and important application area for deontic logic: Responsible AI. On the...

This is Volume II of the proceedings of the 1st European Conference on Argumentation: Argumentation and Reasoned Action, held at the Argumentation Lab in Lisbon, Portugal, in June 2015. The European Conference on Argumentation (ECA) is a new pan-European...

Soyons logiques est une invitation à double sens. Bien que la logique désigne couramment une disposition d'esprit partagée par tout un chacun, cette disposition prête à confusion dès lors que l'on s'interroge sur ses sources théoriques. Le présent...

The Lambda Calculus, treated in this book mainly in its untyped version, consists of a collection of expressions, called lambda terms, together with ways how to rewrite and identify these. In the parts conversion, reduction, theories, and models the view...

Modal logic is a subject with ancient roots in the western logical tradition. Up until the last few generations, it was pursued mainly as a branch ofphilosophy. But in recent years, the subject has taken new directions with connections to topics in...

This volume of the Logica Yearbook series brings together articles presented at the annual international symposium Logica 2015, Hejnice, the Czech Republic. The articles range over mathematical and philosophical logic, history and philosophy of logic,...

1 feel privileged that the J(jh Advances in Computer Games Conference (ACG 10) takes place in Graz, Styria, Austria. It is the frrst time that Austria acts as host country for this major event. The series of conferences started...

The theoretical assumptions of the following mathematical topics are presented in this book:mathematical logicset theoryfunction theoryliteral calculusproperties of powers and radicalsmonomial and polynomial calculusEach topic is covered by emphasizing...

Phenomenology of Dialogs in Gestalt Theory, Mathematics, LogicThis book talks about universal brain functions responsible for image perception and humanities language and how these functions engender logic and the language of mathematics. These are...

Histoire des nombres et de la numération mécanique, est un livre classique et rare, qui a été considéré comme important tout au long de l'histoire de l'humanité, et pour que cet ouvrage ne soit jamais oublié, chez Alpha Editions, nous avons fait des...

The Tests of the Various Kinds of Truth: Being a Treatise of Applied Logic (1891) is a book written by James McCosh. This book is a comprehensive guide to the different types of truth and the methods used to test them. It is a treatise on applied logic,...

""Logic and Imagination in the Perception of Truth"" is a philosophical work written by J. Rush Stoner in 1910. The book explores the relationship between logic and imagination in the process of perceiving truth. Stoner argues that while logic is...

The forms and scope of logic rest on assumptions of how language and reasoning connect toexperience. In this volume an analysis of meaning and truth provides a foundation for studyingmodern propositional and predicate logics. Chapters on propositional...

Set theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. This book is addressed to all mathematicians and tries to convince them that this intuitive approach to axiomatic set theory is not...

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from...

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal...

The IfColog Journal of Logics and their Applications covers all areas of pure and applied logic, broadly construed. This Journal is open access, and available in both printed and electronic formats. It is published by College Publications, on behalf of...

Curry's PhD dissertation  Introduction to Combinatory Logic, represents a first major work on a new subject.  Curry's interest in the subject started when he noticed the complicated form of substitution in Principia Mathematica and set...

Esta extensa colección de ensayos en honor de Abel Lassalle Casanave refleja la amplitud de su compromiso filosófico con las ciencias formales. Cada ensayo, breve en extensión pero rico en la profundidad de su perspectiva, invita al lector a explorar una...

J. Michael Dunn's PhD dissertation occupies a unique place in the development of the algebraic approach to logic.  In The Algebra of Intensional Logics, Dunn introduced De Morgan monoids, a class of algebras in which the algebra...

Grigori Mints is one the most distinguished proof theorists ofour time. He has contributed significantly not only to thesubject in general but also to most of its applications.This collection of papers by a number of Mints' colleaguesworldwide are both a...

This book is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. It contains content, practice exercises, symbolic notations, and...

The importance of having ef cient and effective methods for data mining and kn- ledge discovery (DM&KD), to which the present book is devoted, grows every day and numerous such methods have been developed in recent decades. There exists a great variety...