inductive & Deductive Reasoning

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What is inductive reasoning?

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Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific observations or examples.

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What is deductive reasoning?

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Deductive reasoning is a logical process where a conclusion is reached by applying general principles to specific cases.

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What is a conjecture?

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A conjecture is a statement believed to be true based on observations, but not yet proven.

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What is a counterexample?

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A counterexample is an example that disproves a conjecture or statement.

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Find the next term in the sequence: A, D, G, J, _____

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M

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If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, then...

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The big test will not be given today.

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Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded. What type of reasoning is this?

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Deductive

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What is the difference between inductive and deductive reasoning?

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Inductive reasoning moves from specific observations to general conclusions, while deductive reasoning starts with general principles to reach specific conclusions.

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What is an example of inductive reasoning?

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All observed swans are white; therefore, all swans are white.

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What is an example of deductive reasoning?

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All humans are mortal. Socrates is a human. Therefore, Socrates is mortal.