inconsistency

plural inconsistencies

1. countableuncountableThe state of being inconsistent.

   In her pamphlet on the Russian revolution she urged Lenin to introduce unfettered democracy and at the same time to crush all nationalist movements with an iron hand, not suspecting for a moment that there might be any inconsistency in these two demands.

   1978 [1976], Leszek Kołakowski, translated by P[aul] S[teven] Falla, Main Currents of Marxism, volume II: The Golden Age, Oxford: Clarendon Press, translation of Główne nurty marksizmu: rozwój (in Polish), →ISBN, →OCLC, page 96

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   It was a strange inconsistency, but never till then had I been so much struck with the worthless and frivolous life of society. Never till then did I feel the deep and eternal debt of gratitude that human nature owes to those who assert its higher influence; who feel their generous activity stirred by a thrice noble emulation; who appeal from the present to the future, and redeem their kind, by shewing of how much that is good and great ambition and genius are capable.

   1837, L[etitia] E[lizabeth] L[andon], Ethel Churchill: Or, The Two Brides. […], volume II, London: Henry Colburn, […], →OCLC, pages 4–5

2. countableuncountablehuman sciencesAn incompatibility between two propositions that cannot both be true.