irreconcilability|irreconcilabilities in English
noun
[ir·rec·on·cil·a·bil·i·ty || ɪ‚rekənsaɪlə'bɪlətɪ]
unwillingness to reconcile; incompatibility; lack of agreement; opposition, hostility
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1. 15 Indeed, the outcome of the battle of the battle flag only serves to symbolise ambivalence and irreconcilability in the South.