Reasoning and proofs

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What is a Conditional Statement?

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A statement that can be expressed in the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.

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What is the Converse of a Conditional Statement?

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The converse of a conditional statement 'If P, then Q' is 'If Q, then P'.

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What is the Inverse of a Conditional Statement?

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The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q'.

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What is the Contrapositive of a Conditional Statement?

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The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P'.

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What does the Transitive Property state?

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If A = B and B = C, then A = C.

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What does the Symmetric Property state?

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If A = B, then B = A.

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What does the Reflexive Property state?

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For any number A, A = A.

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What is a Deductive Reasoning?

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A logical process where a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

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What is an Inductive Reasoning?

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A logical process where a conclusion is drawn from a set of observations or specific examples.

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What is a Logical Fallacy?

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An error in reasoning that renders an argument invalid.