PHIL 210 Chapter Notes - Chapter 2: Logical Consequence, Validity

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Chapter 2 - the logic of atomic sentences. We say that this argument is logically valid. The argument"s conclusion (socrates is mortal) is correct, assuming that "all men are mortal" and "socrates is a man" are also correct premises. In this case we say that the conclusion is a logical consequence of the premises. The conclusion must be true on the assumption that the premises are true. It could be possible for the argument"s premises to be false and its conclusion to be valid. In this case, the conclusion is a logical consequence, the argument is logically valid, however the conclusion is false. In the reverse scenario (premises are true, logically valid argument), then we say that the argument is sound. We are told that cube(c) and that c = b. The conclusion is thus a logical consequence of the premises, since the argument is logically valid. The premises are true as well, so the argument is sound.

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