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The Collaborative International Dictionary
Illimitedness

Illimited \Il*lim"it*ed\, a. Not limited; interminable.
--Bp. Hall. -- Il*lim"it*ed*ness, n.

The absoluteness and illimitedness of his commission was generally much spoken of.
--Clarendon.

Wiktionary
illimitedness

n. Absence of bounds or limits.