Odysseus Makridis
Symbolic Logic
Symbolic Logic
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This book provides a comprehensive introduction to standard symbolic logic, covering key topics such as formal languages, decision procedures, semantic models, and proof theory. It also explores the philosophy of logic and includes exercises on mathematical induction and functional completeness. It is essential reading for philosophy students taking intermediate-level formal logic courses and first-year students of logic.
Format: Paperback / softback
Length: 492 pages
Publication date: 22 February 2022
Publisher: Springer Nature Switzerland AG
This comprehensive textbook offers an in-depth exploration of the fundamental principles of standard (classical) symbolic logic. It delves into key topics such as:
• The nature and scope of logic as a discipline
• The construction of formal languages suitable for formal translation
• Semantic models
• The construction of decision procedures
• The execution of proof-theoretic arrangements like natural deduction and proof-sequent systems
The book encompasses both the semantics and proof theory of standard sentential (propositional) logic and predicate (first-order) logic. Additionally, it covers various other subjects, including parsing trees, extraction of alternative notations, Fitch-style proof-theory,sequent and 'tree proof systems, comparisons and contrasts with intuitionistic logic, and presentations of predicate logic models. An ancillary chapter on elements of set theory provides insights into the Zermelo-Fraenkel systematization of set theory.
The philosophy of logic is also explored, providing students with a deeper understanding of the theoretical foundations of logic. The text includes a wealth of exercises designed to reinforce learning and develop critical thinking skills. These exercises cover mathematical induction for constructing formulas, tests for the well-formedness of Polish notation, and functional completeness.
Symbolic Logic is an essential resource for philosophy students enrolled in intermediate-level formal logic courses. It is also suitable for diligent first-year students of logic who are eager to delve into the world of logical reasoning and its applications. The text is replete with exercises that cover both the formal machinery and the philosophical aspects of logic, making it an invaluable tool for anyone seeking to master this complex subject.
Weight: 758g
Dimension: 236 x 156 x 41 (mm)
ISBN-13: 9783030673956
Edition number: 1st ed. 2022
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