A rigorous, yet accessible introduction to the field of logic, this book provides students with a unique insight into logic as a living field and how it connects to other fields of inquiry including philosophy, computer science, linguistics, and mathematics.
A rigorous, yet accessible and entertaining introduction to the field of logic, this book provides students with a unique insight into logic as a living field and how it connects to other fields of inquiry including philosophy, computer science, linguistics, and mathematics. With no background knowledge needed, students are introduced to a critical examination of 'classical logic', and the technical issues and paradoxes that may be encountered. Each chapter includes key pedagogical features such as marginal notes, definitions, chapter summaries and practice exercises. Arguments are backed up by authentic examples of logic within natural languages and everyday life. The flexible chapter structure allows instructors to tailor their teaching for either a one-semester or two-semester course, according to their students' needs and knowledge. Online resources include a companion website featuring further readings, class handouts, LaTeX resources, along with an Online Proof Evaluator allowing students to get real-time feedback.
Papildus informācija
An introduction to logic as a living field connecting it with other fields including philosophy, computer science, and linguistics.
1. The Foundations of Classical Propositional Logic;
2.
Truth-Functionality and the Boolean Connectives;
3. Truth, Consequence, and
Explosions!;
4. Rules for Boolean Connectives;
5. Cracks in the Utopian
Vision: Apparent Disconnects Between PL and Natural Language, and how
Pragmatics Might Help;
6. Conditionals I;
7. Conditionals II;
8. Logical
Form, Hidden Form, and Deep Structure;
9. Truth-Functional Completeness Etc.;
10. From Aristotelian Logic to Quantifiers and Variables;
11. The Foundations
of Quantified Logic and the System QL;
12. Formal Semantics for PL and QL;
13. Controversy Over How to Handle Descriptions;
14. Natural Deduction Rules
for QL;
15. QL Proof Strategies, Advice, and Derived Rules;
16. More Cracks:
Reference Failure;
17. Semantic Tableaux;
18. Completeness and Soundness
Worries (and Prospects for Their Resolutions);
19. The Journey From Extension
to Intension;
20. Lambdas!;
21. The Sorites Paradox and the Problem of
Vagueness;
22. The Liar and its Descendants;
23. Finding a Way Forward.
Jason Decker is a Professor of Philosophy and Cognitive Science at Carleton College, where he has taught a variety of courses in logic, language, mind, epistemology, cognitive science, conspiracy theories and color. He has been teaching formal logic for twenty years since receiving his Ph.D. from MIT in 2006. He has served as an associate editor of the journal Analysis and has published numerous papers on relevant topics.
