Logic.

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Presentation transcript:

Logic

Inductive Reasoning Based on patterns, observations, etc. A counter-example must use the same hypothesis with any different conclusion.

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!)

* ** ** * * **logically equivalent

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.

Deductive Reasoning Law of Detachment Modus Tollens Law of Syllogism

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.

Which Venn diagram is NOT correct? B D

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