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Logic
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Inductive Reasoning Based on patterns, observations, etc.
A counter-example must use the same hypothesis with any different conclusion.
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Conditional Statements
Truth Values: Is false only when hypothesis is true and conclusion is false. (If hypothesis is false, it’s still true since you can never meet the hypothesis to get to the conclusion!)
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* ** ** * * **logically equivalent
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True or False? If it’s Spring, then it’s March.
If two planes intersect, they intersect at a point. If a cat is a bird, then donkeys can fly.
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Deductive Reasoning Law of Detachment Modus Tollens Law of Syllogism
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Biconditionals Mostly for definitions
It’s a right angle iff it measures 90°. If it’s a right angle, then it measures 90°. If it measures 90°, then it’s a right angle.
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Which Venn diagram is NOT correct?
B D
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Read the statement below.
If a quadrilateral has at least two right angles, then it is a rectangle. Which figure is a counterexample that proves the statement is false? C A B D
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