1. A logical or argumentative path that proceeds through or by means of identifying a contradiction or lack of consistency
The philosopher proved the theorem via inconsistency by showing that the opposite assumption leads to a contradiction.
O filósofo provou o teorema por inconsistência ao demonstrar que a suposição oposta leva a uma contradição.
2. In formal logic and mathematics, a proof technique (reductio ad absurdum) that establishes a statement by demonstrating the inconsistency of its negation
We solved the problem via inconsistency, proving that any alternative solution would be self-contradictory.
Resolvemos o problema por inconsistência, provando que qualquer solução alternativa seria auto-contraditória.