2.5 Laws of Detachment and Syllogism

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What is the Law of Detachment?

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The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion is also true.

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What is the Law of Syllogism?

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The Law of Syllogism states that if 'If p, then q' and 'If q, then r' are both true statements, then 'If p, then r' is also true.

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What is a conditional statement?

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A conditional statement is an if-then statement that expresses a relationship between two propositions.

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What is the converse of a conditional statement?

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The converse of a conditional statement 'If p, then q' is 'If q, then p'.

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What is the inverse of a conditional statement?

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The inverse of a conditional statement 'If p, then q' is 'If not p, then not q'.

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What is the contrapositive of a conditional statement?

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The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'.

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What is an example of a counterexample?

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A counterexample is an example that disproves a statement. For instance, if the statement is 'All birds can fly', a penguin is a counterexample.

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What is inductive reasoning?

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Inductive reasoning is a type of reasoning that involves making generalizations based on specific examples or patterns.

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What is deductive reasoning?

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Deductive reasoning is a type of reasoning that starts with general statements and deduces specific conclusions.

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How do you form a valid conclusion using the Law of Syllogism?

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To form a valid conclusion using the Law of Syllogism, identify two true conditional statements where the conclusion of one statement matches the hypothesis of the other.