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Old 01-17-2003, 06:59 PM   #71
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For some reason I can't access the article you linked Tercel, but I think I may have the answer to your question (if it's the question I think it is). At any rate, it's funny.

I think the turtle line comes from a response an apologist (I forget who) got when discussing arguments for the existence of God.

Some old lady popped up and said:

"This is all ridiculous, we all know that the earth is held up by a turtle."

The apologist said: "Well, what is holding up the turtle?"

The lady said: "Very clever young man. But everyone knows it's TURTLES ALL THE WAY DOWN."

I can't remember where I read this, but I remember laughing.
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Old 01-17-2003, 09:28 PM   #72
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That's a good explanation for it. :notworthy And probably true at that.

Whenever I've argued about infinite regresses I've always had this mental picture of a gigantic house of cards with each layer sitting on nothing except more cards all the way down...
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Old 01-17-2003, 10:03 PM   #73
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luvluv:

How's it going? Just stopped in to clarify something.

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Actually, I don't think you can have an actually infinite amount of numbers which are all positive integers. Such a string would have to stop (in one direction at least) at one, and thus by definition be finite. It would be potentially infinite, but never actually infinite.
The set of natural numbers {1, 2, 3, ... } is infinite. It doesn't matter that there is an actual smallest number in the set. The set is simply the collection of integers - the order doesn't matter. There are an infinite number of positive integers.
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Old 01-18-2003, 08:32 AM   #74
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Quote:
Originally posted by Tercel
Thanks a heap Galan, I just finished reading the paper. I can't honestly say I understood all of it fully, but I was able to follow most of it and I found it very very very interesting.

I found the name "tower of turtles" quite amusing... why turtles? I've always thought of it as a "house of cards without a table" myself. But why turtles?
You're welcome! Yes, the CTMU is very interesting. I think that as it becomes more widely known it will be next to impossible to ignore it when discussing reality and the question of "God". (Saying it is something akin to Spinoza on steroids is probably still an understatement ).

luvluv is very close on your question, though a little off. The story goes that the old lady raised her hand and offered the turtle explanation during a lecture that William James was giving about cosmology.
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Old 01-18-2003, 09:04 AM   #75
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Yeah Galan that's it. I've been trying to remember where I read that but I can't figure it out. Was it in James book, The Variety of Religious Experiences? That's the only book of his I have dabbled in.
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Old 01-18-2003, 09:25 AM   #76
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Originally posted by luvluv
What theory or law establishes this? We know now that energy cannot be created or destroyed, but we also know the same thing about matter. But we do not say that matter can emerge without a cause and I do not think it is correct to say that all energy is causeless.
It's the law of energy conservation. Matter CAN be destroyed, so long as it is merely converted to another kind of energy. Matter can be formed from the vacuum, so long as there is energy to allow it. So we have a universe that can change shape, expand, contract but never fail to exist.

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I'm not arguing that it does. What I am arguing is that causation is not dependant on time. Even absent time, a sufficient cause for the universe is still necessary.
I disagree, since energy is conserved. An initial state does not mean the universe needs a cause.

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Actually, I don't think you can have an actually infinite amount of numbers which are all positive integers. Such a string would have to stop (in one direction at least) at one, and thus by definition be finite. It would be potentially infinite, but never actually infinite.
If you had a time machine, there is no limit to how far into the future you could go. So it would be like natural numbers, which start at one but have no limit. Still no reason to call the universe contingent.

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God is defined in all major religions as eternal, which is to say He is essentially atemporal. If the Christian God exists, He has no "first thought", or first anything. He is not bound by time. So if He exists, this would not be a problem.
If God does not have a first thought, does he have an infinite number of thoughts prior to the big bang? If he doesn't have thoughts in any understanding of the concept, why should we call him a person, intelligent, or a conscious being at all? Since such a being would be logically undefined, I have to conclude that this does not explain anything.

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In fact, though this may make God difficult to comprehend, I doubt He "thinks" in the manner you and I describe, at all. Thinking implies processing information or concepts. What does omniscience have to "think" about? Wouldn't all conclusions, which are the only aims of the process of thought, be everpresent to Him? I think this is an example of us conceiving of God in our narrow terms.
This is exactly my point about such a supernatural entity being a non explanation. If we cannot understand, or even logically define what this being is, how is proposing his existence going to explain anything at all? It seems that God is defined entirely by negatives.
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Old 01-18-2003, 09:30 AM   #77
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K:

Hows it going? Do you post under a different name sometimes?

Anyway, you are probably right. But I thought eh was talking about an actually existent thread of numbers written out on paper or something. Yes the actual set of natural numbers is infinite, but no listing of the natural numbers could ever actually be infinite. I thought eh was referring to a listing of some sort, which is the closest parallel to the regress of actual events in time that we were discussing.

I wouldn't bet 2 cents on any mathematical statement I made, anyhow. I'd barely be able to do enough math to collect...
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Old 01-18-2003, 09:36 AM   #78
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Originally posted by K
l
The set of natural numbers {1, 2, 3, ... } is infinite. It doesn't matter that there is an actual smallest number in the set. The set is simply the collection of integers - the order doesn't matter. There are an infinite number of positive integers.
Which is longer, a ray or a line?
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Old 01-18-2003, 09:39 AM   #79
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eh:

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It's the law of energy conservation. Matter CAN be destroyed, so long as it is merely converted to another kind of energy. Matter can be formed from the vacuum, so long as there is energy to allow it. So we have a universe that can change shape, expand, contract but never fail to exist.
You might be right. I have to look into this some more. I wonder though why all the books I've read on cosmolgy, many by confirmed atheists who seem to be hostile to the idea of an existence of God, never made this argument? It seems like a good one. I'll get back to you on this.

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I disagree, since energy is conserved. An initial state does not mean the universe needs a cause.
The universe would still need a cause. There would need to be a reason for why the energy produced a universe when it did the way it did. Perhaps the energy would not need a cause, but the Big Bang would.

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If God does not have a first thought, does he have an infinite number of thoughts prior to the big bang? If he doesn't have thoughts in any understanding of the concept, why should we call him a person, intelligent, or a conscious being at all?
It is possible that He has thoughts, though this notion seems unintelligible to me from the standpoint of the logical implications of omniscience. But if He is eternal, then His thoughts could not be put in sequential order. He could be thinking all thoughts at all times without begining.

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Since such a being would be logically undefined, I have to conclude that this does not explain anything.
What do you mean by logically undefined? Isn't that a fancy way of saying: "That doesn't make sense to me"?

That's basically an argument from personal incredulity, and so I have to conclude that your disbelief doesn't explain anything.

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Old 01-18-2003, 09:56 AM   #80
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Originally posted by luvluv
I think an infinite regress runs into logical absurdities if you are talking about actual events. There is Craig's argument about the impossibility of forming an infinity by successive addition. Then there is the argument that if we are involved in a truly infinite chain of events, in order for the present to arrive it will have to have traversed infinity, and this is impossible. That would require us to have to regard this present moment as the end of infinity, and that is a contradiction. It also leads to mathematical absurdities. We would have to assume, in an infinite regress, that there are as many odd numbered events as there are total events. That seems absurd when you are talking about actual events. Heck, if we were to push the analogy, there would be as many billion, billion, billionth events as there would be total events.

You throw about words like "absurd" and "contradiction," but there is no formal contradiction in the hypothesis that the past had no beginning. In other words, there is no way to derive a proposition of the form "P & ~P" from the statement "the past had no beginning" (if you disagree, please try).

Craig has at best highlighted the fact that an infinite past would have some unfamiliar and counterintuitive properties. That is hardly any great surprise to some of us, since the infinite is not something that we regularly encounter. It is indeed remarkable that if the past is beginningless then there are "as many" past moments now as there were ten years ago (i.e. the two sets of past moments can be put in one-to-one correspondence). That is an unfamiliar (and an entirely logically consistent) idea, but is it any more surprising and counterintuitive than discoveries made about other unfamiliar contexts (e.g. at near-light speeds in Special Relativity, or at small scales in Quantum Theory)? I think not. Craig's argument, that makes heavy use of the fact that a beginningless past would have counterintuitive properties, is a flop.

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