2-4 Deductive Reasoning Objective:

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2-4 Deductive Reasoning Objective: To use the Law of Detachment and the Law of Syllogism

Deductive reasoning (sometimes called logical reasoning) is the process of reasoning logically from given statements or facts to a conclusion. Essential Understanding: Given true statements, you can use deductive reasoning to make a valid or true conclusion.

Using the Law of Detachment, what can you conclude from the given true statements? 1) Given: If a student gets an A on a final exam, then the student will pass the course. Felicia got an A on her history final exam. The second statement matches the hypothesis of the given conditional. By the Law of Detachment, you can make the conclusion that Felicia will pass her history course.

Marla is not safe out in the open. 2) The second statement matches the hypothesis of the given conditional. By the Law of Detachment, you can make the conclusion that… Marla is not safe out in the open. 3) The second statement doesn’t match the hypothesis of the given conditional, so there is no conclusion possible.

W.S. Extra Practice Lesson 2.1-2.4 ODDS [20pts] Another law of deductive reasoning is the Law of Syllogism, which allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypotheses of the other statement. W.S. Extra Practice Lesson 2.1-2.4 ODDS [20pts] The conclusion of the first statement is the hypothesis of the second statement, so you can use the Law of Syllogism to make a conclusion.