the relation between propositions that cannot both be true at the same time
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Repugnance \Re*pug"nance\ (-nans), Repugnancy \Re*pug"nan*cy\ (-nan-s?), n. [F. r['e]pugnance, L. repugnantia.] The state or condition of being repugnant; opposition; contrariety; especially, a strong instinctive antagonism; aversion; reluctance; unwillingness, as of mind, passions, principles, qualities, and the like.
That which causes us to lose most of our time is the repugnance which we naturally have to labor. --Dryden.
Let the foes quietly cut their throats, Without repugnancy. --Shak.
Mr Hosokawa, a former member of the ruling Liberal Democratic Party, founded the JNP out of repugnance for the complacency encouraged by the comfortable links between the bureaucracy, politicians and business.