Conditional Statements, Inductive, and Deductive Reasoning 3

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What is a conditional statement?

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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 Law of Syllogism?

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The Law of Syllogism states that if 'If P, then Q' is true and 'If Q, then R' is true, then 'If P, then R' is also true.

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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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What is inductive reasoning?

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Inductive reasoning involves making generalizations based on specific observations or examples. It starts with specific instances and formulates a general conclusion.

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What is a counterexample?

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A counterexample is an example that disproves a statement or conjecture, showing that it is not always true.

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What does it mean for an argument to be valid?

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An argument is valid if the conclusion logically follows from the premises. If the premises are true, the conclusion must also be true.

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What is the difference between deductive and inductive reasoning?

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Deductive reasoning starts with general principles and applies them to specific cases, while inductive reasoning starts with specific cases and formulates general principles.

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What is the Law of Detachment?

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The Law of Detachment states that if 'If P, then Q' is true and P is true, then Q must also be true.

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What is a hypothesis in a conditional statement?

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The hypothesis is the 'if' part of a conditional statement, representing a condition that must be met.

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What is a conclusion in a conditional statement?

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The conclusion is the 'then' part of a conditional statement, representing the result that follows if the hypothesis is true.