R
ReapReason
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Potentiality cannot exist without an unmoved mover, but that is not the same thing as saying that a series of realised potentiality cannot exist without a first time-event.RR:
I’ve heard this assertion before, and would like to read it for myself. The Summa Theologica, Vol I, Q 7 is all about Infinity. St. Thomas does make mention of the possibility of numerical and material infinity, but only under the second form of it, that is: potential infinity. If you understand what “potential” means, in this regard, you will see that it means: possible. Now, possible, i.e., potential is not the same as actual, as St. Thomas indicates in his Commentary on the Physics, Bk. III, les. 11, n. 743: “In the second place, there is the potential infinite, which is that to which there is always something beyond.”
For St. Thomas, there can be no actual infinity numerically or materially. There can only be the possibility of infinity.
The words, aleph and aleph null, are often used to represent infinity or an infinitesimal. As one can see, neither of these words represents a specific difference on a number line, in either direction. They are words representing abstractions that best describe the possible answers to some mathematical equations. You and I both have some idea of what a trillion is, but we have no idea of what an aleph is. Neither does anyone else.
God bless,
jd
Aquinas proves the existence of a cause lying completely outside the series of potential events.
He is not arguing for a cause from which time extends finitely.
Aquinas holds that reason cannot prove that the world had a beginning in time.
fordham.edu/halsall/basis/aquinas-eternity.asp