  It is reported that William held a similar view of infinite terms. William is said to have argued that an infinite term, e.g., ‘non-man’, signifies all those things that are not men (H13; Iwakuma 1999: 109). However, William's own discussion of infinite terms is available. In the Introductions William argues that the signification of infinite terms can be taken affirmatively, negatively, or correctly (ISW I 4.2). Taken affirmatively ‘non-man’ positively signifies every thing that is not a man: each rock, flower, and squirrel. The affirmative account allows one to substitute ‘stone’ for ‘non-man’ in syllogisms with absurd results. Taking infinite terms negatively solves this problem by claiming that infinite terms do not signify any existing thing, but William cannot accept this because it would mean that infinite terms are not significant. Rather, he argues that the imposition of infinite terms is related to the imposition of their correlative terms.