The Collaborative International Dictionary of English v.0.48:
Finiteness \Fi"nite*ness\, n. The state of being finite. [1913 Webster]WordNet (r) 3.0 (2006):
finiteness n 1: the quality of being finite [syn: finiteness, finitude, boundedness] [ant: boundlessness, infiniteness, infinitude, limitlessness, unboundedness]