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The phrase "contradiction being" is not grammatically correct.
You could use the phrase "contradiction of" instead. For example: The contradiction of the two statements was difficult to reconcile.
Exact(1)
In particular, in any system with K and RM, (OBp & OB~p) ↔ OB⊥ is a theorem.[2] But it seems odd that there is no distinction between a contradiction being obligatory, and having two distinct conflicting obligations.
Similar(59)
Every contradiction is reconciled.
The contradiction is stark.
The contradiction is understandable.
Contradiction is thus inevitable".
Obviously this contradiction was untenable.
This contradiction is not new.
The contradiction is lethal, maddening and lovely".
Contradiction is part of the Stewart Way.
That contradiction is 24-carat noir.
The contradiction was typical of the man and his career.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com