I have been having a mathematical (and therefore philosophical) conversation on a physics website about the idea of "infinities" beyond "infinities", or Aleph One, Two, and so forth.
Of course, if I mention God There -- my thread will be locked; and now I find myself being threatened with having a thread locked by someone who may have a serious conflict of interest when I am speaking about something purely mathematical but which was first given to me in High School in a movie which made comments about the pope, God, and how this aleph thing is tied up in a proof or another. I sometimes wonder if it is the Stalinist concept of God.... or whatever.
This is one of those conversations I would normally have with my brother, John, for he is formally trained in those subjects.
But, I wonder sometimes if it is a sign from God that they chose the first letter of the Hebrew Alphabet for this particular subject. I forget the German's name who attempted to name the first infinity "Aleph Not (0)" אֵ ; For that letter happens to be the "alpha" of "THE" alpha and the Omega; in Hebrew it just means "The";
I recall thinking El-Shadday was "God almighty" -- but it is really just "THE almighty" in literal translation.
Spock of Star Trek does a live long and prosper hand gesture which is HALF the letter "Shin" for "Shadai" -- as in, "Almighty" in the blessings of Jewish Rabbis.
So, here I am having a conversation with something of a bully on a physics website about whether or not I can count all the real numbers. I think I can, I have been more than kind in listing out where an issue might be -- and I find myself threatened to prematurely reveal the answer; when if the man was more patient I might even have given him a better answer; By now, those on this website know I don't joke, and I don't try to be cruel. But I really wonder, should I give this fellow a partial answer this early or not?
His exact words to me were: (one sentence, no copyright infringement possible -- Google *does* know about it already....)
"Please give the algorithm in the next post or this thread will be locked
. Don't play games with us. micromass."
St. Thomas, did, indeed argue about the existence of God and infinities. Could this be a sign I should demolish something like Aleph not? (No god, poly god, what god?)
But, aleph not -- I think -- really will be replaced by Aleph shadai; it's just a matter of when. Perhaps leaving God out of it for the moment, (though I am no atheist....) is the appropriate approach, but what do you think, should I give this simple method to him right NOW to count every possible decimal number, or should I refine it first?
Is it appropriate to be bullied by someone and give the lesser of an answer when a better one might be yet found? (I am looking for friendship -- and he is acting like a bully.)
Here is how I would count all the possible reals using counting numbers:
(Next post, so the proof will be here -- uneditable except by CAF -- first.
Google is sure to find it though....