PHIL 2003 Lecture 4: Sept. 31

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If the premises are all true, then the conclusion must be true. Soundness: an argument is sound if (1) it is valid and (2) if all the premises are true, all sound arguments are valid; not all valid arguments are sound, only applies to arguments (not theories or claims) Deductive argument: the premises are intended by the arguer to logically entail the conclusion, to make it absolutely certain that the conclusion is true. So: all swans are white, x is a swan. Therefore: x is white, ask whether logical intuitions, or appropriate techniques, to determine whether the argument is valid. Inductive argument: the premises are intended by the arguer only to make it probable that the conclusion is true, not to logically entail it. So: x is a swan and is white, y is a swan and is white, no non-white swans have been observed. Therefore: all swans are white, or the next swan i observe will be white.

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