Practice - Transitive Law (Hypothetical Syllogism)
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Practice Questions
Test your understanding with targeted questions
What is the transitive law?
💡 Hint: Think about how one condition leads to another.
State the meaning of Modus Ponens.
💡 Hint: Recall the structure of this rule.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the transitive law state?
💡 Hint: Consider the structure of conditional statements.
Is the following statement a tautology: 'If p and q are both true then p must be true'?
💡 Hint: Think about the implications of 'p and q'.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the statements: 'If a book is read, knowledge is gained; If knowledge is gained, confidence increases.' Prove the transitive law in this context.
💡 Hint: Identify p, q, and r in your reasoning.
Construct a truth table for the transitive law that includes all variable combinations for p, q, and r.
💡 Hint: Show how the implications relate truthfully.
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