I’ve been implicitly working under the assumption that an actual infinity will be described by a mathematical abstraction of infinity.
TTC:
Your wording here is that of attempting to be
axiomatic. Is it the TCC-axiom?
Replace the highlighted word with “may,” and you have a proposition that does not completely color reality with your exquisite intent.
Your claims about an actual infinity have not matched up with the mathematical description, and that is what I’ve been pointing out.
Only your opinion.
Your inability to see my argument stems from your unwillingness to consider and concede to two very important points: 1) the Now is the end of a finite sequential, aggregating progression of past-time “now’s,” whereupon the entirety of past time is summarily actualized and finite - at each and every one that is occurring. But, infinity is unactualizability
per definitionem. And, 2) each additional Now, or second (if you prefer), ongoing into the future, is aggregating to a finite, aggregative structure called “past time,” thereby increasing the whole of past time’s real number of seconds, or, Now’s. You cannot argue against this by merely denying that it is not so, because everyone would understand you to be somewhat strange, to say the least.
Infinity may be said to have hypothetical boundaries in conjectural, hypothetical, abstract mathematics, but an
actualized infinity is not bound by either any outermost extremity of any kind, or by
abstract mathematics. Neither can a reverse infinity be said to be real. There comes a point at which nothing smaller can be sliced from any part of a real exigency. The point of a line is without dimension, for example. But, past time is a continuum - for as long as there exists mobile beings. And, what if motion and time are not real? What if, as some physics students contend, they are illusions? Time, then, would be the pinnacle of abstraction!
I am not saying that because the mathematical description of infinity exists an actual infinity must exist.
Bless you.
My claim: If an actual infinity exists, it would be described by a mathematical abstraction of infinity. Your description of an actual infinity does not conform to a mathematical abstraction, therefore it is not the correct description of an actual infinity.
Maybe so, maybe not. The rest of the world indicates that there are three kinds of infinities: (1) an infinity that is of
unrestricted power, as opposed to '“multitude;”(2) an infinity that is applied to some sort of finite, or aggregating, structure, such as a real number line, or, past time; and, (3) an infinity similar to # (2) except that it is applied to actual exigencies, such as real atoms, or quarks, or numbers inside a Cantorian set.
Your reading of my claim: The existence of a mathematical abstraction proves the existence of an infinite quantity.
Not at all. You are spinning my argument according to your intent.
God bless,
jd