Rational Framework Without Contradiction is a Contradiction
Every basic distinction, by the very degree of its contrast, contains contradiction.
All things occur through distinction.
Without contrast there is pure equivocation and by pure equivocation all things cease including equivocation as there is nothing to equivocate.
The cessation of equivocation results in the cessation of pure unity and with this cessation there is the absence of equality.
What remains is the distinction of cessation, the cessation of cessation, and so forth, thus contradiction is necessary at the grounding ontological level as cessation is the contrast between what is and its absence.
Contradiction, by degree of contrast via distinction, is necessary for reason to occur by degree of the absence of reason for through contrast identity is and is not.
Any framework which nullifies contradiction is effectively a contradiction as its equivocation ceases and this cessation of equivocation is the grounding contradiction.
What remains at the foundational level, of any framework, is contradiction via the act of distinction.