6. Tutorial 1: Part I
The chapter covers the fundamentals of propositional logic, including propositional variables, logical connectives, and their representations in terms of compound propositions. It discusses the relationships among various statements through the introduction of implications such as contrapositives, converses, and inverses. Additionally, it explores how to draw truth tables to evaluate compound propositions and presents the concept of the dual of a compound proposition along with its properties.
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Sections
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What we have learnt
- Propositional variables can represent logical statements about real-world situations.
- Compound propositions can be formed using logical connectives, and their relationships can be analyzed.
- The dual of a compound proposition has similar properties to the original statement under certain conditions.
Key Concepts
- -- Propositional Variables
- Variables that represent logical statements, such as p and q in propositional logic.
- -- Compound Propositions
- Statements formed from propositional variables using logical connectives like AND, OR, and NOT.
- -- Truth Table
- A table that shows all possible truth values for propositional variables and their compound propositions.
- -- Dual Proposition
- A transformation of a compound proposition where conjunctions are replaced by disjunctions and vice versa.
Additional Learning Materials
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