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Matt J. Rossano

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Are Infinities More Scientific Than God?

Posted: 07/05/11 07:00 PM ET

Suppose you have some marbles rolling around randomly at the bottom of a box. Now take the box and tilt it so that the marbles roll to one corner. Jiggle a bit so that they come to rest in a reasonably stable pattern and, more than likely, some of the marbles will collect into a "snowflake" configuration such as this:

This arrangement is referred to as "hexagonal closest packing;" something often seen in honeycombs or oranges stacked at a fruit stand. There's nothing magical about this: it's simply gravity pushing spherical objects into a stable pattern. A little order out of chaos. But that's the deceiving part according to University of Delaware physicist Stephen Barr. In his book, "Modern Physics and Ancient Faith" (2003, University of Norte Dame Press, pp. 77-78), Barr uses this simple example to show that what looks like order out of chaos is actually order out of even greater order. This, he contends, ought to give one pause before concluding that science has unquestionably vindicated a materialistic view of the universe.

So how do the marbles show order out of greater order? The orderliness of the snowflake pattern can be measured by counting its symmetries -- that is, how many ways can you rotate it and still have the identical pattern. For example, if rotated five degrees it won't be exactly the same, but if rotated 60 degrees it will be. Rotating the pattern in sixty degree increments (60º, 120º, 180º, etc.) produces identical patterns, thus it has six symmetries. But since you can flip it and then repeat the rotations the actual total comes to 12 symmetries.

The underlying reason for these 12 symmetries is the spherical shape of the marbles. If you started with other shapes, say seven forks or mini Jack Daniels bottles or whatever, they would not have fallen into the snowflake pattern to begin with and thus the symmetries (if any) would be different. So these 12 symmetries arise because of the particular properties of spheres being acted upon by gravity. So how many symmetries do spheres have? Since you can rotate a sphere by any amount and it will still be the same, it has an infinite number of symmetries. Thus, the order seen at the "higher" snowflake level (12 symmetries) is only a miniscule fraction of the unseen order at the "deeper," spherical level (infinite symmetry).

The marble example has a more natural analogue in crystal formation. When the pressure and temperature are right, crystals form in substances such as diamond, calcite or mica. The crystals arrange themselves into a lattice pattern. A diamond lattice, for example, is called a "hex-octahedral group," and it contains 48 symmetries. However, the order of the diamond lattice is but a small fraction of the order found in the carbon atoms composing the lattice. As with the marbles, there is a "spherical" sameness about the carbon atoms that lead to a nearly infinite number of symmetries at the atomic level. Thus, once again, the order that we observe at the higher crystal level is but a minute fraction of what exists at the deeper atomic level.

This idea that the deeper we go in the physical universe the more order we find is repeated over and over again, according to Barr, in such things as naturally occurring geometric patterns (e.g. a nautilus shell), planetary motions and the properties of elementary particles (protons, neutrons, etc.). In every case the observable order is only a tiny surface manifestation of an even greater order at a deeper, more obscure level. Order does not arise from chaos, nor does it arise from nothing. It arises from an even richer order "below."

So from where does the deepest order originate? From a naturalistic standpoint, we don't know because we have yet to uncover nature's deepest laws. However, even if we reveal these laws, the question of why they give rise to such profound order will still remain a puzzle. The pervasive order of our universe appears to go beyond necessity into the gratuitous. "Life could have evolved just as it did even if there had been occasional lapses in the orderliness of nature," claims Barr (p. 108). Life has already managed to survive numerous cosmic, climatic and ecological challenges; occasional small-scale violations of the law of conservation or angular momentum would unlikely have proved prohibitive.

To avoid an immaterial Creator as the ultimate explanation for the universe's deep order, the materialist, argues Barr, must either accept the laws of physics as "brute facts" (i.e. they just are and we don't ask why they are) or he (she) must appeal to chance (usually in the form of multiple universes with variable laws of physics). If ours is but one of an infinity of universes (or possibly "domains" within a multiverse) then simply by chance a universe will arise with physical laws such as ours. While this is certainly possible, a critical point Barr emphasizes is that proposing an infinity of unobservable entities is no more scientifically defensible than proposing a single unobservable one (God). Indeed, sustaining a purely materialistic view of the universe, Barr asserts, requires repeatedly pleading for a multiplicity of envisioned infinities -- of universes, planets, durations, realities, observers, etc. -- a habit that severely undercuts the materialist position.

"...the materialist, in order to avoid drawing unpalatable conclusions from scientific discoveries, has to postulate unobservable infinities of things. How ironic that, having renounced belief in God because God is not material or observable ... the atheist may be driven to postulate not one but an infinitude of unobservables in the material world itself!" (p. 75).

Ultimate questions, such as the ones Barr poses, stand outside of scientific certainty and even if they undermine materialism, they do not immediately or necessarily validate the Christian God or any God for that matter. But I don't take Barr's arguments as religious evangelism. Rather, I take them as scientific evangelism. The spirit of inquiry animates science. That spirit is equally violated whether we stop asking questions out of fear that God might be the answer or we stop out of fear that God might not be the answer. Just keep asking questions and follow honestly where the argument leads.

 
 
 
 
 
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CharlesW299
I could take offence, but that would make no sense
12:15 PM on 07/15/2011
What this topic appears to be missing is the actual meaning/validity of our experience and observation.
Exactly what does it mean to ‘see’ those marbles - given that the notion of the 'order' of those marbles is dependent on the 'seeing'.

Robert Lanza, in his book “Biocentrism”, raises some points that have relevance in this discussion, and I doubt that we can ever again discuss points like this without consideration of those points.
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deckercat
change the world
01:49 PM on 07/09/2011
there are some things man was not meant to know...
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taoistpunk
because the monks wouldn't have me..
04:32 PM on 07/09/2011
No one is blinder than he who will not see..
03:57 AM on 07/07/2011
The real difficulty is with semantics. Whether, you believe in God or you are a non-believer it is due primarily to the fact that we can not think outside of cause and effect. You can go on a mindless loop with the question of who created God...then, who created whatever entity which created God. We can't think in terms where something or someone does not have to be made or created.

All our languages speak in terms of infinity, etc. with terminology which denotes "time". It is impossible for us to think in terms where "time" has no relevance. Time goes hand in hand with the creation of or existence of mass. Until, scientist can think in terms of unmeasureable observations then God will always be elusive.

The problem is not another dimension...it is not a dimension at all. We can't think of nothingness much less an existence of a non-dimension. What we think, believe, or feel is hampered by the hard-wiring in our brains.

The non-believers pride themselves on their intellectual use of their brains...yet, they demand physical evidence. Believers pride themselves on their faith and require no physical evidence. Doesn't this seem to be an irony of sorts.
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taoistpunk
because the monks wouldn't have me..
10:55 AM on 07/07/2011
It has been my experience that belief in god or gods tends to more of a cultural issue.

Yes there are many things that are hard for us to imagine. This is why we attempt to model them, using intellectual tools such as math and the scientific method. It is not ironic to require physical evidence in such an endeavor, it is common sense. If we do not check our models we will never know how accurate they are.
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buggeroffyou666
Hierophant of the Crawling Chaos
04:30 PM on 07/08/2011
Your fail of an argument is called special pleading and it is old. Who made this ball? Me. Who made me? god. Who made god? YOU CANT ASK THAT NA NA NA I CANT HEAR YOUUUUUUU. No doesn't work because then you have to explain why you get special pleading and the parson who thinks Cthulhu is real doesn't.
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HeevenSteven
20 Minutes into the future.
11:52 PM on 07/06/2011
The author wants to pretend god or no-god is some sort of 50-50 probability, but does so without defining what sort of god "God" refers to--I.e. Sarah Palin's or Spinoza's.
10:26 PM on 07/06/2011
Well, I'm confused -- if infinities are a problem in science, then the solution is to postulate a god that must be infinite? Or are you postulating a finite god? I just don't see where the god postulate adds anything?
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Ytrus
''it's a map''
11:24 PM on 07/06/2011
The "God postulate" adds the most important ingredient of all: it satisfies people like Barr and Rossano, and they stop asking questions once it's included.
NoRhymeOrReason
Teach your children well...
09:07 PM on 07/06/2011
The Big Bang that created our Universe was, actually the collapse of a black hole in a Universe in a higher realm. All of the black holes in our Universe are Universes in a lower realm. The Universes exist in the event horizons of the black holes. Each Universe can only exist in 4 dimensions to an observer inside the Universe, except that 10 dimensions are necessary to explain all of the forces observed in the Universe. The 10 dimensions include the 4 dimensions in the Universe (3 physical + Time), 3 dimensions in the higher realm and an extremely high but finite number of 3 dimensional Universes in the lower realm. To an observer in either the higher or lower realms there would be the same pattern of higher and lower realms.

Now, does each of these black hole/Universes have a God? I like to think that, when I die, I will be given dominion over one of the Universes and that I will become It's God. That would be the epitome of Heaven. Although, for some of weaker morals, it could be Hell.
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taoistpunk
because the monks wouldn't have me..
10:04 AM on 07/07/2011
Finally, someone has found the Unified Theory between Physics and Dungeons and Dragons.
NoRhymeOrReason
Teach your children well...
11:58 AM on 07/07/2011
Science will always seek to the answer the question of How. Religion will always seek to answer the question of Why. And, the unification of these answers will only be accomplished with a sense of humor.
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Allan Richter
08:17 PM on 07/06/2011
“To avoid an immaterial Creator as the ultimate explanation for the universe's deep order, the materialist ___must either accept the laws of physics as "brute facts" (i.e. they just are and we don't ask why they are) or he (she) must appeal to chance (usually in the form of multiple universes with variable laws of physics).”( Rossano)

Israel’s theosophy, also assumes infinite universes. The “basic metaphor” uses value archetypes “sefirot“, as the building blocks of creation. The “sefirot” combine and interpenetrate in an infinite number of ways eventually instantiating in our material world (incorporating physics).

“The value archetypes are based in phenomenological experience. Representing an entity’s position in time; the tree dimensions of space; its aesthetic, moral, and spiritual value; its existential status (i.e. does it exist or is it imaginary), the ideas it instantiates or represents and the “will” or purpose it serves.

(I)t can be argued that the world’s entities and events can be better described and understood through the ten-dimensional ‘sefirotic’ scheme than they can be ‘scientifically’. Science, by failing to include ideas, volition, and values as elements of its world, is thus handicapped in its account of such things as human personalities, historical events, aesthetic objects, etc; whereas the sefirotic scheme, because it is phenomenologicaly more complete, provides an ontology of much broader scope and application.” (Sanford Drob)
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taoistpunk
because the monks wouldn't have me..
09:15 PM on 07/06/2011
The "ten-dimens¬ional ‘sefirotic¬’ scheme” does sound wonderful, but I can’t remember... did it describe, F=ma first or did it jump right to, E=mc^2?

You had me at entities, but lost me at events. Perhaps if I thought you were only implying sporting type events, and not the type that lead to the structure of the universe.
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CharlesW299
I could take offence, but that would make no sense
11:49 AM on 07/15/2011
Every new 'accepted' theory is preceded by a period of certainty wrt the 'previous' theory. In other words, every current theory is just a moment away from being rendered obsolete.
I understand these points, and to some degree agree, but the phraseology conveys a level of certainty that causes me to pause...

Couple months ago I read "Biocentrism - R. Lanza", and while I have not mass-migrated my thinking, it certainly made me re-evaluate the established scientific (and other) 'facts'.

I would be curious to read your thoughts on "archetypes are based in phenomenol­ogical experience" relative to the arguments presented in Biocentrism.
... If you haven't read it, I can wait... it is a worthy read.
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Andres64
Religion is a sectually transmitted disease.
04:35 PM on 07/06/2011
Has anyone mentioned multiple infinities (Cantor's argument)?
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The Ghoul
I live off Republican tears and I'm never hungry
04:34 PM on 07/06/2011
"appeal to chance"
???
Someone make "the Professor" take a science class.
04:08 PM on 07/06/2011
How nice to read a scientist that understands basic logic. Most scientists today are nothing more than propagandists fighting for their particular materialistic bias it seems.

So, let's look at this paragraph below and then discuss infinite universes:

"If ours is but one of an infinity of universes (or possibly "domains" within a multiverse) then simply by chance a universe will arise with physical laws such as ours. While this is certainly possible, a critical point Barr emphasizes is that proposing an infinity of unobservable entities is no more scientifically defensible than proposing a single unobservable one (God). Indeed, sustaining a purely materialistic view of the universe, Barr asserts, requires repeatedly pleading for a multiplicity of envisioned infinities -- of universes, planets, durations, realities, observers, etc. -- a habit that severely undercuts the materialist position."

The irony here is that the concept of infinite universes is unscientific as it's fundamentally logically invalid. There can be no such thing as two infinite “anythings” otherwise how would you differentiate one infinite object from the next? Any rationale you devise would merely be a quantitative description thus proving that the infinite object was quantifiable and ergo not infinite.

Thus any infinite object must always be singular from a scientific standpoint.

Interesting that Christians and Jews are monotheists - the Lord their God is One! At least that doesn't violate the laws of logic and rules of scientific validity, but don’t tell that to the materialists unless you want to see them explode in
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taoistpunk
because the monks wouldn't have me..
07:07 PM on 07/06/2011
I’m not sure I understand your point, but then I am no scientist. Perhaps if I do the math you can show me the error in my thinking.

You and I exist at two different points. Drawing a line between us there is a halfway point. From that halfway point to me there is another, and then another, and then, to make a long story short, an infinite number more. From our halfway point to you there is another infinite number of halfway points.

Between us we have two identical lines both with a quantifiable number of points, that quantity being infinity. Combining those two lines we have a new infinity which is twice the size of either of the previous.

I can differentiate them by calling them lines a, b and c where a + b = c.

Not to put too fine a point on it, but I can describe an infinite number of lines of various sizes between you and I and they can all be contained within that single space defined by line “c.”

The only thing I can figure is that you think infinite means all-encompassing, which it does not.

As to violating:

“logic and rules of scientific validity,”

The trinity god is considered to be both one and three, so the “logic” that must follow is 1+1 =2 and 4 and 6, which is neither logical, nor scientifically valid.
08:47 PM on 07/06/2011
A scientist is anyone who endeavors to discover truths. As this article undoubtedly shows, trained “experts” can be just as irrational as anyone else.

Anything that is quantifiable is not infinite. I realize that the concept of infinity is nearly impossible to comprehend but your examples are all the sort that describe quantifiable distances under a fictional infinite time period. But we know that space-time is finite so that point really is moot, is it not?

The Trinity is not that God is both one and three but that God is one being represented through three persons. Ergo the logic is 1=1 and 1 has 3 (just as you -1 being- have 2 eyes).

The Trinity may be an almost impossible concept to comprehend, like infinity, but does not violate the laws of logic or the principles of contradiction, also like infinity.
10:10 AM on 07/18/2011
This something that was addressed by Aristotle in response to Zeno's paradoxes (Physics Book VI Ch 2). We need to distinguish between quantitative infinity and infinite divisibility.

The space between you and the your interlocutor is not actually infinite, it is potentially infinite in that it can be divided an infinite number of times. The various line segments can only be compare with respect to the extent which must be finite.

"Between us we have two identical lines both with a quantifiab­le number of points, that quantity being infinity."

If something is infinite it is by definition not quantifiable.

As to the other matter you raise: "The trinity god is considered to be both one and three, so the “logic” that must follow is 1+1 =2 and 4 and 6, which is neither logical, nor scientific­ally valid."

The claim that the one God is triune is a not a philosophical claim but a claim from revelation that cannot be proven philosophically and is therefore not subject to demonstration. The philosophical case for God shows only that this is a god who precedes creation outside of time and is himself unchanging. The identification of this creator with the God of Abraham is a matter of faith and revelation.
06:25 AM on 07/07/2011
"There can be no such thing as two infinite “anythings­” otherwise how would you differenti­ate one infinite object from the next?"

That's not what the multiverse hypothesis proposes. It posits the existence of an infinite *number* of *finite* universes. No logical contradiction there, nor is it a descent into the realm of metaphysics, since all universes would be equally physical. The notion of a deity, on the other hand, is metaphysical one by most definitions.
12:03 PM on 07/07/2011
Actually there is no set established definition of a multiverse, but in actuality there are a number of multiverse hypotheses (quantum physics, string theory and even weirder models, etc).

However, if this multiverse is infinite then it is not quantifiable, which means that it could not be physical and thus is in the realm of metaphysics. At that point, Occam's razor would argue that such a hypothesis is more complex, makes too many new assumptions, none of which are empirical, and thus should be rejected for the simpler metaphysical explanation.

But we should also make clear, that any scientific enquiry into the cause of nature is never purely empirical and must always rely upon forensical data to determine validity, which is why cosmology is an inherently metaphysical or philosophical investigation.
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Mark Morlock
Justice is blind I think God is too.
03:44 PM on 07/06/2011
"Just keep asking questions and follow honestly where the argument leads." Sounds like sage advice. Set God aside as an answer to any given question and find your own. Even the question "Why" should be answered by an individual. That's probably the best (?only?) way to be satisfied with the answer. Another question I came up with reading this article probably posed by the article itself is; How big is God? Is he infinitely large or infinitely small? From what I understand people have throughout history thought of him as infinitely large looking down on us from beyond the boundaries of the universe but is that really the case? What if God is nothing more than the spark that ignited the Big Bang? If such is the case how could he/she have any hand in the development of species on this or any other planet?
10:27 AM on 07/18/2011
All of these explanations of God are metaphorical. God is simple. Being simple means that he cannot be material, since matter is made of parts and therefore complex. As such he lacks quantity altogether and is neither small nor large. By definition there is nothing beyond the boundaries of the universe and since place is something only effects material things God isn't any place.

God doesn't look--he lacks eyes which are material--he simply 'knows'.

He can have a hand in all things because he is outside and prior to their material causes not a temporal way, but in an external way.
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taoistpunk
because the monks wouldn't have me..
01:35 PM on 07/06/2011
No. Infinities are more "mathematical" than God.

Science requires some verification and is neutral on both God and, say, superstring theory. But Superstring theory is shown, mathematically, to have potential as a model for our universe.

The need for brevity may have diminished the effectiveness of the argument, but I see some considerable suppositions in it.

-In this case, detecting symmetry feels a bit like numerology. Symmetry does not have an innate magical power any more than numbers do. Geometry describes shapes, not God. If order is the nature of the universe, then nature, following it’s natural course does not imply God.

-Having looked at trees and Mandelbrot sets, I also feel that there is much symmetry in our universe, but claiming that what I’ve seen so far defines everything is like believing that visible light makes up the entire electromagnetic spectrum. The idea of an atom as a circle with a circular shell is lovely, but try to make a precise measurement of it and you find it is less a shape and more a potential position. Its components, and their components may be even more unruly.

-I think my favorite, though, is that since life has “survived” nature, (rather than been a part of it) occasional breaks in the laws of physics would not matter much either.

How did something come from nothing? There must be a God.
How did God come from nothing? There must have been a something.
Repeat.
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03:54 PM on 07/06/2011
You write, "then nature, following it’s natural course does not imply God." Certainly not the kind of god that usually supplies the answer to your later question, "How did something come from nothing?"

Why do you privilege "nothing"? I suspect it is because the form of explanation that gains your highest regard is a causal explanation. Sure, that 'works.' If you adopt the pragmatic theory of truth, then you can satisfy it. But there are at least 3 other competing theories of truth, including one that traces its ancestry back to Heraclitus, truth as the meaning of being, understood as dynamic.

If we have multiple theories of truth that are differently useful and differently rooted, we can only choose which of them we intend when we assert. Our Hebrew/Christian/Islamic tradition relies on a claim of revelation that can be protected by a theory of truth as coherence. Whatever choice of a theory of truth, such a choice also rests on an epistemology of revelation. Aristotle told us, in effect, you have to begin somewhere because we are always already in the middle of things. Different "somewheres" have different "justifications." You pays your money and takes your choice.
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Ytrus
''it's a map''
04:45 PM on 07/06/2011
Okay, here's my theory of truth: I don't know what the truth is. Here's a corollary: you do the best you can with what you have.

When I look at Christianity, I see something that is "made up." As in, it's an explanation created out of whole cloth by people, and only true if by accident. Yet many are convinced, on faith, that it is absolutely correct.

When I look at science, I see a whole lot of "we don't know yet," and "we're not sure." Does it get you the "truth"? No. Does it lie about it? No.

I'll stick with science.
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taoistpunk
because the monks wouldn't have me..
05:14 PM on 07/06/2011
You lost me a bit there, Janus.

My “question” about something from nothing was just a flippant way to say that I thought the reasoning behind this article, and maybe the book, was equal to that tired old argument that keeps cropping up in different forms.

I don’t think that what we came from is nothing, or something. I think what we came from is unknowable. Looking back to the big bang we find our laws breaking down as time approaches t=0. So anything before that time is, and possibly will always be, beyond human understanding.

As for “Truth,” …well, you’re on your own there brother.
I don’t mind picking at bad logic, (or having mine picked at) but mostly I’m just concerned with what works. I’m all about truth with a very small t, the kind of truth that might just change with the next calculation.
Of course, that may be because I’m an enthusiast, not a professional, and my highest regard is not as much for the causal explanations as it is the casual ones.
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Mark Morlock
Justice is blind I think God is too.
04:16 PM on 07/06/2011
"How did something come from nothing? There must be a God.
How did God come from nothing? There must have been a something.
Repeat." Until you get a headache, are tired of the endless string, or your brain shuts down.
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nlightenup
Retired psychologist, responds to open minds.
12:58 PM on 07/06/2011
I always enjoy your contributions, Dr. Rossano, especially what I take as playful, though precise, thinking. And I am never wrong in my anticipation of a plethora of (may as well have been) cut-and-paste misreadings and criticisms. It's about to the point that freshman philosophy profs can start asking a new question: If an HP religion writer writes and no atheists respond, is the writing still about religion?
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JohnFromCensornati
Free your mind and your ass will follow.
02:09 PM on 07/06/2011
It's about to the point that faithers can start asking themselves a new question: If an HP religion writer writes and no atheists respond, who will we bitch about?
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nlightenup
Retired psychologist, responds to open minds.
11:20 PM on 07/06/2011
Hey, great idea! Why don't you try it, and I'll let you know what happens.
02:54 PM on 07/06/2011
"cut and paste misreadings."

Yeah, like when the media twist Sara Palin's words by quoting her verbatim.
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JohnFromCensornati
Free your mind and your ass will follow.
12:30 PM on 07/06/2011
"In every case the observable order is only a tiny surface manifestation of an even greater order at a deeper, more obscure level"

Why does Gawd hide?
01:52 PM on 07/06/2011
Ill be hiding after making this mess too.
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JohnFromCensornati
Free your mind and your ass will follow.
01:59 PM on 07/06/2011
Good point.
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JohnFromCensornati
Free your mind and your ass will follow.
12:29 PM on 07/06/2011
"That spirit is equally violated whether we stop asking questions out of fear that God might be the answer . . ."

This will never be a problem for me because I simply have no fear that that's the answer.