Abū al-Maʿālī said:
“Bodies constitute a single genus. The genera of accidents are limited in number, but the individual instances of a genus are not.”
He said:
“Thus, infinitely many genera cannot exist, since that would entail the existence of infinitely many objects of knowledge. The evidence establishes the absence of a limit in both cases.”
He said:
“As for individual accidents, knowledge extends over them. As for the answer based on the capacity to relate to them, this is the answer given by al-Shahrastānī and others like him.”
[The second]
He said:
“The second method—meaning, for demonstrating the impossibility of what is infinite—is his statement: If numbers without limit existed, they would necessarily be either even, odd, both even and odd, or neither even nor odd. If they were even, they would become odd by adding one; if they were odd, they would become even by adding one. Yet what is infinite cannot be short of one, and if