The development of new and improved proof systems, proof formats and
proof search methods is one of the most essential goals of Logic. But
what is a proof? What makes a proof better than another? H...więcej »
This book describes how logical reasoning works and puts it to the test in applications. It is self-contained and presupposes no more than elementary competence in mathematics.więcej »
Set theory, initially built on the Cantorian extension of number into the infinite and the Zermelian axiomatization affirming a foundation for mathematics, is today a rich and soph...więcej »
This book presents an overview of the development of the
Axiom of Choice since its introduction by Zermelo at the
beginning of the last century. The book surveys the Axiom of
Choice from three pers...więcej »
The present book is the first monograph ever with a central focus on the proof theory of paraconsistent logics in the vicinity of the four-valued, constructive paraconsistent logic N4 by David Nels...więcej »
This book presents an introduction to model theory in 15 lectures. It concentrates on several key concepts: first-order definability, classification of complete types, elementary extensions, cat...więcej »
Epistemic logic and, more generally, logics of knowledge and belief, originated with philosophers such as Jaakko Hintikka and David Lewis in the early 1960s. Since then, such logics have played a s...więcej »
What exactly is artificial intelligence?
This book is for all those who are curious to learn what artificial intelligence (AI) is. It is a purposely brief introduction to t...więcej »
Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy ...więcej »
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 ...więcej »
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 ...więcej »
Mathematics originates with intuition. But intuition alone can only go so far and formalism develops to handle the more difficult problems. Formalism, however, has its inherent dangers. There are ...więcej »
Elementary Logic with Applications is written for undergraduate logic and logic
programming courses. Logic has been applied to a wide variety of subjects such więcej »
The first edition of Aristotle's Earlier Logic attracted some favourable attention. In his review for the journal Argumentation, David Hitchcock writes,
"The book is a treasure trove of sophistic...więcej »
Many-valued logics are those logics that have more than the two classical truth values, to wit, true and false; in fact, they can have from three to infinitely many truth values. This property, ...więcej »
Vague language and corresponding models of inference and information processing is an important and challenging topic as witnessed by a number of recent monographs and collections of essays devoted...więcej »
Originating as an attempt to provide solid logical foundations for fuzzy set theory, and motivated also by philosophical and computational problems of vagueness and imprecision, Mathematical Fuzzy ...więcej »
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 a...więcej »
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 a...więcej »
The theory of logical consequence is central in modern logic and its applications. However, it is mostly dispersed in an abundance of often difficultly accessible papers, and rarely treated with...więcej »