The phrase "irreconcilable contradictions" means two or more ideas, statements, or beliefs that cannot be combined or resolved because they conflict with each other in a way that cannot be resolved or made consistent. Full definition
Mr. Lei even goes as far as stating that «cultural and strategic intentions determine that there is a natural and irreconcilable contradiction between the core developer and the Chinese government.» (dailybitcoinnews.com)
Certainly a private myth must be an ultimate and irreconcilable contradiction if we assume that the mythmaker must be the priestly or ritual spokesman of a pre-literate society. (religion-online.org)
When at last it became fashionable to admit that there are irreconcilable contradictions in the four versions of the empty tomb story, this fact was used by many as a popular argument in favor of their essential reliability. (religion-online.org)