The Collaborative International Dictionary of English v.0.48:
boundedness \boundedness\ n. (Math.) the quality of being finite. Syn: finiteness, finitude. [WordNet 1.5]WordNet (r) 3.0 (2006):
boundedness n 1: the quality of being finite [syn: finiteness, finitude, boundedness] [ant: boundlessness, infiniteness, infinitude, limitlessness, unboundedness]