Tuesday, March 07, 2006

Q7 A3: Whether an actually infinite magnitude can exist?

No. A natural body cannot be actually infinite because its determinate actuality of form correlatively limits the potentiality of matter.

Mathematical bodies, although abstracted from matter, are imagined under the determinate form of quantity.

A magnitude cannot be actually infinite; only considered as potentiality can it be infinite (e.g., further and further subdivision of a line).