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Old 03-27-2004, 01:11 AM   #61
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You haven't answered my questions, so I'll state them one last time. Please, pay attention:

1. What set are you using for your argument? The link that you provided looked at set theory with a (countable) increasing chain of universes. This does not answer this question.

2. On the set that you're using (cf. 1), what ordering are you putting on the set?

And, what the hell, let's tack a third one on:

3. Why is it that you seem to refuse to want to answer questions 1 and 2?

Sincerely,

Goliath
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Old 03-27-2004, 01:44 AM   #62
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Quote:
Originally posted by Goliath
You haven't answered my questions, so I'll state them one last time. Please, pay attention:

1. What set are you using for your argument? The link that you provided looked at set theory with a (countable) increasing chain of universes. This does not answer this question.

2. On the set that you're using (cf. 1), what ordering are you putting on the set?

And, what the hell, let's tack a third one on:

3. Why is it that you seem to refuse to want to answer questions 1 and 2?

Sincerely,

Goliath
[1.] The Universal Set is the set of all that exists:

[<-[->[<-[U]->]<-]->]

Let U be the set of all individuals of cardinal 2^aleph_n.

2^aleph_n , 2^aleph_n-1 , 2^aleph_n-2 ... etc, ...2^aleph_0

The largest possible set is still undefined... at this time.
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Old 03-27-2004, 01:47 AM   #63
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Quote:
Originally posted by Chimp
[1.] The Universal Set is the set of all that exists:
The set of all WHAT that exists?

You see, you really haven't coherently defined ANYTHING. What are the elements of your set?

Quote:

Let U be the set of all individuals of cardinal 2^aleph_n.
Individual what?! What are you talking about?!

Quote:
The largest possible set is still undefined... at this time. [/B]
Yes, it has been proven that there is no "set of all sets" (that's what categories are for, amongst other things).

Sincerely,

Goliath
(who really is going to bed now)
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Old 03-27-2004, 02:11 AM   #64
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Quote:
Originally posted by Goliath
The set of all WHAT that exists?


Sincerely,

Goliath
(who really is going to bed now)

http://www.hep.upenn.edu/~max/toe.pdf

Quote:


MATHEMATICAL STRUCTURES
Our proposed TOE can be summarized as follows:
Physical existence is equivalent to mathematical existence.

What precisely is meant by mathematical existence, or
ME for brevity? A generally accepted interpretation of
ME is that of David Hilbert:

Mathematical existence is merely freedom from contradiction.
In other words, if the set of axioms that define a mathematical
structure cannot be used to prove both a statement
and its negation, then the mathematical structure
is said to have ME.

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Old 03-27-2004, 06:42 AM   #65
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Originally posted by Chimp
According to your logic, God is meaningless because the definition of God is constantly being redefined as the arguments are critically scrutinized.

Interesting... That sounds like an approach towards some type of definition "limit". Ergo, the God concept is probably not meaningless. Only your subjective opinion says it is meaningless.

At the present time 1/0 is basically meaningless, since it is undefined. Yet it could have meaning as mathematical definitions continue to evolve. It potentially has meaning.

The God concept could have "objective", as well as subjective, meaning.

To draw a conclusion about the observable universe, requires logic.
Yes, it is an exponential relationship. As the number of times god is redefined is increased, the absurdity of the theists argument is squared.
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Old 03-27-2004, 09:34 PM   #66
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Quote:
Originally Posted by Chimp
This link does not answer my question. Again: WHAT ARE THE ELEMENTS OF YOUR SUPPOSED SET!?


Oh, and from your link:

Quote:
Physical existence is equivalent to mathematical existence.
This seems absurd at best. Do Dedekind domains--for example--physically exist?

Sincerely,

Goliath
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Old 03-27-2004, 10:06 PM   #67
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I'm going to leave this here in EoG assuming some sort of argument can be made for God. Otherwise I'm closing it.

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Old 03-27-2004, 10:11 PM   #68
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Quote:
Originally Posted by Chimp
Analytic propositions are necessary truths. So, when you ask yourself the question "why does
AB = BA for basic arithmetic?" What is your "non-circular answer?
Chimp,
If I understand your argument, you want to assume that God exists and is the sum of all things, then you want to use that assumption to prove that God exists and is the sum of all things.

You think you can somehow redefine "assumption" as "axiom" to give it more "umph". You compare the assumption to the axiom that A times B is equal to B times A.

The difference is, that the Axiom AB = BA would never be used to prove AB=BA. It would be used to prove that ABC=CBA, or some other such statement. If AB=BA is true, than ABC = CBA.

You can use an assumption to prove other things, but those other things are no more "true" than the assumption. You can't use an assumption to prove the assumption.


So, back to your original post. If God exists and is the sum of all things, then God exists and is the sum fo all things. Great. You've convinced me that IF God exists and is the sum of all things, then God exists and is the sum of all things.

Now, if you ever want to try to prove God exists, then you'll need to do so without first assuming it.
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Old 03-27-2004, 10:21 PM   #69
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Quote:
Originally Posted by xorbie
I'm going to leave this here in EoG assuming some sort of argument can be made for God. Otherwise I'm closing it.

xorbie
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The ontological argument basically says that "God" is the greatest possible being that can be conceived, in fact, God is that which is greater than that which can be conceived

God exists in the imagination

A God that actually exists is greater than a God existing only in the imagination

God is greater than that which can be conceived by the imagination

Therefore God exists

One could try to produce a counter argument saying that an invisible pink unicorn, the "IPU" is the greatest possible thing that can exist.

But the argument becomes an argument for the existence of God by default since if the IPU is the greatest possible thing that can exist, greater than that which can be conceived, the IPU becomes a definition for God with another name. IPU = God

If my interpretation is correct, the argument fails due to the inability to define "greatest possible" or "most perfect".
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Old 03-27-2004, 10:23 PM   #70
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Quote:
Originally Posted by Chimp
"God" is the greatest possible being that can be conceived,
What does this mean?

Your argument will never succeed as long as you refuse to answer that question.

Sincerely,

Goliath
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