Deduction is an efficient and elegant presentation of classical first-order logic. It presents a truth tree system based on the work of Jeffrey, as well as a natural deduction system inspired by that of Kalish and Montague.
- Efficient and elegant presentation of classical first-order logic.
- Presents a truth tree system based on the work of Jeffrey, as well as a natural deduction system inspired by that of Kalish and Montague.
- Contains detailed, yet accessible chapters on extensions and revisions of classical logic: modal logic, many-valued logic, fuzzy logic, intuitionistic logic, counterfactuals, deontic logic, common sense reasoning, and quantified modal logic.
- Includes problem sets, designed to lead students gradually from easier to more difficult problems.
Further information and select answers to problems available here: http://bonevac.info/deduction/About_the_Book.html
Preface to the Second Edition.
. Acknowledgments..
1. Basic Concepts of Logic:.
Arguments.
Validity.
Implication And Equivalence.
Logical Properties Of Sentences.
Satisfiability.
2. Sentences:.
The Language Of Sentential Logic.
Truth Functions.
A Sentential Language.
Symbolization.
Validity.
Truth Tables.
Truth Tables for Formulas.
Truth Tables for Argument Forms.
Implication, Equivalence and Satisfiability.
3. Truth Trees:.