Inductive vs Deductive Reasoning

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What is Inductive Reasoning?

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Inductive reasoning is a type of reasoning that involves making generalizations based on specific observations or patterns. It allows for conclusions to be drawn from 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. It starts with a general statement and deduces specific instances.

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Provide an example of Inductive Reasoning.

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If you observe that the sun has risen in the east every day of your life, you might conclude that the sun always rises in the east.

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Provide an example of Deductive Reasoning.

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

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What is a counterexample?

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A counterexample is an example that disproves a statement or proposition. It shows that the statement is not universally true.

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What is the difference between Inductive and Deductive Reasoning?

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Inductive reasoning makes broad generalizations from specific observations, while deductive reasoning applies general principles to reach specific conclusions.

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What is a conjecture?

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A conjecture is an unproven statement or hypothesis that is based on observations. It is often the starting point for further investigation.

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What is an obtuse angle?

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An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees.

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If the difference of two numbers is less than the greater number, is (5) - (2) = 3 a counterexample?

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No, (5) - (2) = 3 is not a counterexample because 3 is less than 5.

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If the difference of two numbers is less than the greater number, is (2) - 0 = 2 a counterexample?

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Yes, (2) - 0 = 2 is a counterexample because 2 is not less than 2.