Formal Logic
Propositional Logic, Predicate Logic, Modal Logic, and Non-Classical Logics
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Beschreibung
Why do some statements necessarily imply others - and why do even the strongest formal systems have limits? Logic offers the tools to explore these questions with precision, clarity, and depth.
This book provides a rigorous yet accessible introduction to logical reasoning, from propositional and predicate logic to modal logic and non-classical logics. It presents the essential concepts, methods, and procedures in a clear and structured way, with attention not only to formal systems but also to structure, meaning, and inference.
Classical topics such as equivalences, normal forms, and resolution are complemented by algorithmic methods for automated reasoning and a detailed treatment of Gödel's incompleteness theorems. Modern perspectives, including modal logic, fuzzy logic, default logic, and answer set programming, round out the presentation.
With numerous exercises and carefully worked solutions, this book is ideal for students and readers who want to think more clearly, argue more precisely, and gain a deeper understanding of the foundations of mathematics and computer science.
A rigorous introduction to formal logic, from propositional and predicate logic to modal and non-classical systems.
Clear explanations, classical proof methods, and algorithmic reasoning with numerous exercises and worked solutions.
Ideal for students of mathematics, computer science, and philosophy who want a solid understanding of logic and its limits.
Autor*in
Lucien Sina
Lucien Sina is a computer scientist and mathematician. In "Formal Logic", he presents the foundations of logical systems, proof methods, and formal reasoning in a clear, rigorous, and accessible way.
Themen in »Formal Logic«
mathematical logic formal systems proof theory Model Theory automated theorem proving