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Full Description
Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines.
The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems.
Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures.
Key Features
Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives
Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic
Carefully considers the ways natural language both resists and lends itself to formalization
Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises
Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies
Contents
1. Introduction to the study of logic 2. Vocabulary and syntax 3. Semantics 4. Formalization 5. Working with SL semantics A-1. Advanced topics concerning SL semantics 6. Derivations A-2. Advanced topics concerning the soundness and completeness of Ds 7. Reduction Trees A-3: Advanced topics concerning the soundness and completeness of Ts 8. Vocabulary, syntax, formalization and derivations 9. Semantics and Trees for Modal and Intuitionistic Sentential Logic A-4: Advanced Topics concerning the "soundness" and "completeness" of Dm and Tm 10. Vocabulary, syntax, formalization, and derivations 11. Semantics and trees A-5: Advanced topics for PSL 12. Vocabulary, syntax, and formalization 13. Derivations 14. Trees and tree model semantics for QPL 15. Semantics for QPL without mixed multiple quantification 16. Semantics for QPL with mixed multiple quantification A-6: Advanced topics for QPL 17. Higher order logic Rule summaries
