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SOUNDNESS

We thus make at least two demands of a deductive argument:

1. The argument must be valid.

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2. The premises must be true.

When an argument meets both of these standards, it is said to be sound. If it fails to meet either one or the other, then it is unsound. Thus, an argument is unsound if it is invalid, and it is also unsound if at least one of its premises is false.

ALL PREMISES TRUE AT LEAST ONE FALSE PREMISE

Valid Sound Unsound

Invalid Unsound Unsound

Soundness has one great benefit: A sound argument must have a true con- clusion. We know this because its premises are true and, since it is valid, it is not possible that its premises are true and its conclusion is false. This is why people who seek truth want sound arguments, not merely valid arguments.

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