Posted on 01/07/2002 8:19:37 AM PST by dead
A: I'm afraid I don't follow.
Shucks. From your posts I thought you would get it. The Alpha and Omega? God is All? It was an attempt at humor. From God comes all things, to God go all things. Therefore no matter how many things you add together they all add up to one thing. God.
I was going to throw in an even more difficult spiritual mathematic equation but I guess I'd better not.
Yes, but the old scientists often fight that change almost as hard as the church went against Galileo.
You know, by the way, one of the cardinals told Galileo he was free to teach the heliocentric hypothesis as a computational method, he just couldn't say that it was the way things "really were". Of course it took several centuries before the heliocentric model was refined to were it was as accurate for computation as the geocentric model of Ptolemy.
Though it was proven by proving it is modular. But you knew that, didn't you?
A computer so fast it can perform an infinite loop in 2 seconds!
C'mon now. Don't be an historical dogmatist. Name me one religion that hasn't changed over time.
Can't say that I did. I really don't know anything about the proof, except that it uses methods of hyperbolic geometry (don't know anything about that either). But the world's smartest human, that vos Savant women, suggested that we can't know if the proof is valid, because we don't know if hyperbolic geometry is true.
The assertion chain starts out as flat binary, but becomes as 3-D as English semantics before the end of volume 1. IMHO the Principia is a non-orientable manifold.
Over and out.
The conspiracy of ignorance masquerades as common sense.
I was thinking about multiplication!
(And I was sure in your 1+1=1 analogy you were going to say you meant the union of a man and wife -
that is, after all, God's math on that matter!)
PS - We need to spend more time together.
The question of whether mathematics is "invented by man" (i.e. a posteriori) or not (a priori) is one of many interesting questions addressed in Immanuel Kant's Critique of Pure Reason. It's a bit of a sticking point at that interstice between philosophy and theology, and a deep indicator of how one sees the universe: to a religious purist it doesn't matter because if man invented it, God invented man; to an atheist it doesn't matter because if God invented it, man invented God. To the rest of us it's a little more opaque.
I am not sure why you refer to Banach-Tarski. These things, as far as I understand stem from the Axiom of Choice and should not be THAT surprising: once you accept it, you are stuck, for instance, with non-measurable sets.
Because the logic of mathematics exists apart from man, I will say 'invented.'
You have successfully ignored that. Welcome to the club. : )
Interesting.
You are correct sir, e.g., tensor analysis for general relativity, and functional analysis for quantum mechanics.
: ) You know that, honey. But in your equation 1+1=3 or more. It's an area of study that deserves volumes of research. Much repeated testing and random manipulation of many variables. Shall we apply for a grant?
Any sufficiently advanced extraterrestrial intelligence is only indistinguishable from God to those who do not know God to begin with.
I sometimes toy with the idea of writing a SF story of the turmoil that would happen if an alien civilation was at last discovered, and their religion exactly matched one specific religion found on earth, esentialy proving it to be true. Can you imagine what the scientific community would do to surpress that, and the chaos when the info got out, the reaction of other religions etc.?
Sadly (or perhaps not) I just don't have the time.
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