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The Collaborative International Dictionary
Indefensibility

Indefensibility \In`de*fen`si*bil"i*ty\, n. The quality or state of not being defensible.
--Walsh.

Wiktionary
indefensibility

n. The quality or state of not being defensible.

Usage examples of "indefensibility".

The falseness of values, the indefensibility of motivation, simply could not register in her thoroughly suffused, completely blanketed mind.