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Webster 1913 Edition

Noun.

The quality of being inexcusable; enormity beyond forgiveness.

South.

Noun.

The quality of not admitting of excuse or justification; enormity beyond forgiveness or palliation.

This inexcusableness is stated on the supposition that they knew God, but did not glorify him.

inexcusableness ‎(uncountable)

The quality of being inexcusable.
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