Reasoning and Proof DAY 4: 2.4 Deductive Reasoning.

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Reasoning and Proof DAY 4: 2.4 Deductive Reasoning

given conclusion

The car will not start The garden will be watered

No conclusion. Could be flooding Its sides have equal length No conclusion. Could be vertical

two true conclusion hypothesis

If a quadrilateral is a square, then it is a rectangle. If a whole number ends in zero, then it is divisible by 5. If it is Saturday, then you wear sneakers.

Elias lives in the US. The Nile is the longest river in the world.

Deductive Reasoning Coming to conclusions from facts or given statements

Conditional If then statements

Inverse If not p, then not q (negation)

Law of Detachment If the hypothesis is true, reasoning that the conclusion is true

Law of Syllogism When conclusion of one true conditional is the hypothesis of another conditional. (Can write new conditionals)

Good definition Clear, precise, and REVERSIBLE

2.4 PRACTICE CHILDREN’S BOOK Homework:

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