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Deductive vs. Inductive Reasoning. Objectives. Use a Venn diagram to determine the validity of an argument. Complete a pattern with the most likely possible next item. Explain a general rule or pattern given a word and letter pairing. Vocabulary. Deductive reasoning Inductive reasoning
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Objectives • Use a Venn diagram to determine the validity of an argument. • Complete a pattern with the most likely possible next item. • Explain a general rule or pattern given a word and letter pairing.
Vocabulary • Deductive reasoning • Inductive reasoning • Venn diagram • Syllogism • Valid/invalid argument
the drawing of inferences or conclusions from known or assumed facts • Reasoning: • Deductive reasoning: • Inductive reasoning: the application of a general statement to a specific instance the application of specific instances to form a general conclusion
Classify the argument as deductive or inductive: • I ate a chili dog at Joe’s and got indigestion. • I ate a chili dog at Ruby’s and got indigestion. Therefore, chili dogs give me indigestion.
Classify the argument as deductive or inductive: • All spicy foods give me indigestion. • Chili dogs are spicy food. Therefore, chili dogs give me indigestion.
an argument composed of two statements or premises followed by a conclusion • Syllogism: • Valid: • Invalid: an argument if valid if the conclusion of the argument is guaranteed to follow from the premises an argument is invalid if there is at least one instance where the conclusion does not follow from the premises
Draw a Venn diagram to determine if the argument is valid or invalid: • No one who can afford health insurance is unemployed. • All politicians can afford health insurance. Therefore, no politician is unemployed.
Draw a Venn diagram to determine if the argument is valid or invalid: • All homeless people are unemployed. • Roseanne is not a homeless person. Therefore, Roseanne is not unemployed.
Draw a Venn diagram to determine if the argument is valid or invalid: • All doctors are men. • My mother is a doctor. Therefore, my mother is a man.
What is the most likely next number: 1, 2, 4, 7, ____ 4, 7, 10, 1, _____ 31, 28, 31, 30, _____
What is the most likely next term: O, T, T, F, ____ T, F, S, S, _____