The quality of being irreconcilable; irreconcilability; incompatibility; incongruity.(noun)
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Use "irreconcilableness" in a sentence
"With regret I speak it of the charmer of my soul, that irreconcilableness is her family-fault — the less excusable indeed for her, as she herself suffers by it in so high a degree from her own relations."
"But, nevertheless, the irreconcilableness of my relations, whom I love with an unabated reverence; my apprehensions of fresh violences,"
"On the other hand, if we find a reconcilableness or an irreconcilableness of Darwin's views with the objective substance of religion, the possible question as to its reconcilableness or irreconcilableness with subjective religiousness on the ground of those results wholly answers itself."