Etymology
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unbounded (adj.)

1590s, "not limited in extent," from un- (1) "not" + past participle of bound (v.1). Sense of "generous, profuse, liberal" is recorded from 1704. Related: Unboundedness.

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Definitions of unbounded

unbounded (adj.)
seemingly boundless in amount, number, degree, or especially extent;
unbounded enthusiasm
Synonyms: boundless / limitless
From wordnet.princeton.edu