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perpetuity (n.)

"quality or state of endless duration, continued uninterrupted existence for an indefinite period of time," late 14c., perpetuite, from Old French perpetuité "permanence, duration" (13c., Modern French perpétuité) and directly from Latin perpetuitatem (nominative perpetuitas) "uninterrupted duration, continuity, continuous succession," from perpetuus (see perpetual).

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Definitions of perpetuity from WordNet

perpetuity (n.)
the property of being perpetual (seemingly ceaseless);
Synonyms: sempiternity
From wordnet.princeton.edu