2-2 Conditionals and Inductive Reasoning

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What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form 'If P, then Q'.

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What is the hypothesis in a conditional statement?

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The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be true for the conclusion to follow.

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What is the conclusion in a conditional statement?

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The conclusion is the part of the conditional statement that follows 'then'. It represents the result or outcome that follows if the hypothesis is true.

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What is an example of a counterexample?

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A counterexample is an example that disproves a statement or proposition. For instance, if the statement is 'All angles are acute', a counterexample would be an obtuse angle, such as 120°.

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What is inductive reasoning?

Back

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

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What is the next term in the Fibonacci sequence?

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The next term in the Fibonacci sequence is found by adding the two previous terms. For example, in the sequence 1, 1, 2, 3, 5, 8, 13, the next term is 21.

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How do you determine the truth value of a statement?

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The truth value of a statement is determined by whether the statement is true or false based on the information provided.

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What is a sequence in mathematics?

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A sequence is an ordered list of numbers that follow a specific pattern or rule.

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What is the difference between a true statement and a false statement?

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A true statement accurately reflects reality or facts, while a false statement does not.

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What is a logical fallacy?

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A logical fallacy is an error in reasoning that renders an argument invalid.