Inconsistency and contradiction are important concepts. Unfortunately, they are easily confused. A proposition or belief which is inconsistent is one which is self- contradictory and vice-versa. Moreover two propositions or beliefs which are contradictories are inconsistent with each other. Nonetheless it is a mistake to suppose that inconsistency is the same as contradiction.
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WILLIAMS, John N..(1981). Inconsistency and Contradiction. Mind, 90(360), 600-602.
Available at: http://ink.library.smu.edu.sg/soss_research/259
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