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The Collaborative International Dictionary
Insatiableness

Insatiableness \In*sa"tia*ble*ness\, n. Greediness of appetite that can not be satisfied or appeased; insatiability.

The eye of the covetous hath a more particular insatiableness.
--Bp. Hall.

Wiktionary
insatiableness

n. The quality of being insatiable.