The word "finitary" means that something is limited, has a definite beginning and end, or is restricted in terms of scope or duration. Some antonyms for "finitary" could be "infinite," "unbounded," "unlimited," "eternal," "endless," "indefinite," "perpetual," "continuous," or "unrestricted." These words reflect the opposite of "finitary," suggesting that something has no end, no limits, or no boundaries. For instance, "infinite" implies a limitless and never-ending existence, while "unbounded" suggests no limits or restrictions. By using these antonyms, we can convey a sense of boundlessness or endlessness, which contrasts with the idea of something being finite.