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Logic

If there could be a counter-argument against a premise, does that make the premise false and the argument unsound?
Accepted:
June 3, 2015

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The mere possibility of a

Stephen Maitzen
June 4, 2015 (changed June 4, 2015) Permalink

No. The mere possibility of a counter-argument (i.e., "there could be a counter-argument") doesn't imply that the premise is false or that an argument containing the premise is unsound. The counter-argument itself must have a true conclusion in order to guarantee that the premise against which it's a counter-argument is false.

Every sound argument has a true conclusion (although the converse doesn't hold), so if there exists a sound argument against a particular premise, then the particular premise is false. Often, however, the very soundness of that counter-argument will be a matter of controversy.

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