2.1-2.2 Conditionals, Inductive & Deductive Reasoning

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What is a conditional statement?

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A conditional statement is a logical statement that has the form 'If p, then q', where p is the hypothesis and q is the conclusion.

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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 does it mean for a conditional statement to be true?

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A conditional statement is true unless the hypothesis is true and the conclusion is false.

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What is an example of a true conditional statement?

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What is an example of a false conditional statement?

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What is a biconditional statement?

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A biconditional statement is a statement that combines a conditional statement and its converse, written as 'p if and only if q'.

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How do you determine the truth of a biconditional statement?

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A biconditional statement is true if both the conditional and its converse are true.

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What is inductive reasoning?

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Inductive reasoning involves making generalizations based on specific observations or examples.