Practice Transitive Law (hypothetical Syllogism) (4.1.4.3)

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6 sample questions

Question 1.
What is the transitive law?
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Think about how one condition leads to another.
Question 2.
State the meaning of Modus Ponens.
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Recall the structure of this rule.
3Question 3.
What does the transitive law state?
- If p equals q
- If p implies q and q implies r
- then p implies r
- None of the above
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Consider the structure of conditional statements.
4Question 4.
Is the following statement a tautology: 'If p and q are both true then p must be true'?
- True
- False
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Think about the implications of 'p and q'.
Question 5.
Given the statements: 'If a book is read, knowledge is gained; If knowledge is gained, confidence increases.' Prove the transitive law in this context.
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Identify p, q, and r in your reasoning.
Question 6.
Construct a truth table for the transitive law that includes all variable combinations for p, q, and r.
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Show how the implications relate truthfully.

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