Basic Concepts and Symbolization in Propositional Logic: Workbook 1 (Logic Self-Taught Workbooks)

Like personal trainers, the Workbooks offer a practical and empathic approach to introductory logic. They are designed for beginners and for anyone who wants to build confidence by doing more exercises. Workbook 1 helps you learn how to:identify five propositional connectives (of negation, conjunction, disjunction, material biconditional, and material conditional) in English sentencesdetermine the main connective of a propositionsymbolize simple and complex English sentencessymbolize "neither-nor," "not-both," "only-if," and "unless"read necessary and sufficient conditions from conditionals.There are numerous exercises whose difficulty increases gradually. The point is to train your "logic muscles" until they become strong enough to carry "heavy-weight" content. The study is aided by many examples worked out step by step, warnings of common errors, as well as complete solutions to all exercises.Logic Self-Taught Workbooks are based on the insight that understanding logic is not sufficient for learning logic, just as understanding how to swim is not sufficient for learning to swim and understanding the grammar of a foreign language is not sufficient for learning the language. You need to practice and take an active part in self-teaching. Through systematic work with the Workbooks, you will build self-confidence. You can learn logic, even its hardest parts.ContentsUnit 1.1 Basic Concepts A. Sentences and Propositions (Statements)B. ArgumentsC. Validity, Invalidity, and Logical FormD. Validity of Arguments and Truth of Premises and ConclusionE. Soundness of ArgumentsF. Enthymematic ArgumentsG. FallaciesUnit 1.2 The Basics of Propositional Logic A. Propositional Logic as a Logical TheoryB. Simple and Complex PropositionsC. The Symbolization Key (Legend)D. NegationE. ConjunctionF. DisjunctionG. Material BiconditionalH. Material ConditionalUnit 1.3 The Basics of Symbolization A. Main ConnectiveB. Finding the Main Connective: Stage 1 (Two-Place Connectives)C. Finding the Main Connective: Stage 2 (Including Negations)D. Symbolization as an Art and as a SkillUnit 1.4 “Neither … Nor …” and “Not … Both …” in SymbolizationsA. Multiple Conjunctions and DisjunctionsB. “Neither … Nor …”, “Not Both … and …” (Take 1)C. The Exclusive Disjunction “Either … or … but Not Both”D. De Morgan LawsE. “Neither … Nor …”, “Not Both … and …” (Take 2)F. “All”, “Some”, “Not All”, “None”G. Complicated SymbolizationsUnit 1.5 “… Only If …” in SymbolizationsA. Your worst nightmare: “Only if”B. Complicated SymbolizationsC. Necessary and Sufficient Conditions (optional)Unit 1.6 “… Unless …” in Symbolizations A. “Unless”B. Complicated SymbolizationsSolutions to Exercises Read more