The quality or state of being inconsequential(noun)
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Use "inconsequentialness" in a sentence
"But to become dis-spirited due to the inconsequentialness of your form of service is to miss the greater gift of true service."
"Rossum argues that even though their voting patterns are likely to be similar, the most notable element of Souter as Justice was his inconsequentialness:"
"In mood and inconsequentialness, but also in sure-fire charmingness, it recalls"