# Inductive reasoning inductive deductive particular to

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Deductive vs. Inductive Reasoning Inductive Deductive Particular to general Used in detective work Frequently used in bible study Conclusion is in probabilities General to particular Conclusion is definitive Premise must be true and structure of argument valid for conclusion to be sound Frequently used in systematic theology 15

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Syllogisms Syllogism is the basic form of deductive reasoning Contains two or more premises the infers a conclusion In order for the conclusion to be sound reasoning Premises have to be true Structure of the argument has to be valid Both conditions have to be met 16
Syllogisms (cont.) Several types of syllogisms Categorical Hypothetical (uses If Then statement) Disjunctive 17

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Truth Value of Syllogism In order for the conclusion of a syllogism to be sound the premises must be true Deductive reasoning can be used to determine the truth value 18
Truth Value of Syllogism (cont.) Categorical syllogism example All Belhaven students support Christian values Student A is a Belhaven student Therefore Student A supports Christian values 19

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Truth Value of Syllogism (cont.) Inductive steps to test truth value 1. All Belhaven students complete survey asking if they support Christian values 2. If 100% response yes, the first premise is true 3. Only take a single no to make it false 4. Admissions can verify if student A is a Belhaven student and consequently the truth value determined 20
Validity of Syllogism All A are B Some A are B 21 B A B B B A B

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Syllogisms (cont.) No A are B 22 B B A B
Deductive and Inductive Deductive and inductive should be used together Both have strengths and weaknesses 23

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Logical Fallacies Unsound reasoning or faulty logic Dozens of different types 24
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