For me that's not instantly intuitive, but familiarization with your program should render that point moot. I ran finite through thesaurus.com; I'll post what it gave me, in case any of these fit your bill:
bound, bounded, circumscribed, conditioned, confined, definable, definite, delimited, demarcated, determinate, exact, fixed, limited, precise, restricted, specific, terminable
belted, bordered, boundaried, circumscribed, compassed, contiguous, defined, definite, delimited, determinate, edged, encircled, enclosed, encompassed, enveloped, fenced, finite, flanked, fringed, girdled, hedged, hog-tied, limitary, restricted, rimmed, ringed, surrounded, walled
bound, bounded, checked, circumscribed, confined, constrained, controlled, curbed, defined, delimited, determinate, finite, fixed, hampered, hemmed in, local, modified, narrow, particular, precise, qualified, reserved, restrained, sectional, topical
animate, bipedal, corporeal, creatural, earthly, ecce homo, ephemeral, evanescent, fading, finite, frail, fugacious, impermanent, momentary, passing, perishable, precarious, sublunary, temporal, transient, weak, worldly
