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1.9 Axioms

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Obtaining a guaranteed true conclusion in a deductive argument requires that the argument be sound – that is, it requires both (1) that the argument be valid and (2) that the premises be true (1.4). Unfortunately, the procedure for deciding whether or not a premise is true is much less determinate than the procedure for assessing an argument’s validity. Unless premises are to be justified by arguments whose own premises are to be justified by still other arguments ad infinitum, and unless premises are to circle back on themselves in a loop of justification, there must be a stopping point where fundamental or basic premises are just accepted as true (see Agrippa’s trilemma in 1.1).

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