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Author Topic:   The Divine Proportion: Does It Have a Materialistic Explaination?
crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 8 of 49 (148352)
10-08-2004 12:08 PM
Reply to: Message 4 by JasonChin
10-08-2004 9:07 AM


Hey, I was wondering if anybody here knows of any naturalistic theorioes as to why the number Phi, also known as the Divine Proportion or the Golden Section, appears so freakishly often in nature.
It's funny that there's enough numbers in the universe that, if you look hard enough, you'll "find" the number that you're looking for, over and over again. Like, 42, or the Law of Fives:
quote:
The Law of Fives states simply that: ALL THINGS HAPPEN IN FIVES, OR ARE DIVISIBLE BY OR ARE MULTIPLES OF FIVE, OR ARE SOMEHOW DIRECTLY OR INDIRECTLY RELATED TO FIVE. THE LAW OF FIVES IS NEVER WRONG. In the Erisian Archives is an old memo from Omar to Mal-2: "I find the Law of Fives to be more and more manifest the harder I look."
Instead of wondering why it is that you find what you are looking for, you should ask the question: "What is it about the human brain and human psychology that leads me to believe this is significant?" It's called "confirmation bias." You've just forgotten or downplayed every time you've looked for phi and failed to find it.

This message is a reply to:
 Message 4 by JasonChin, posted 10-08-2004 9:07 AM JasonChin has replied

Replies to this message:
 Message 11 by JasonChin, posted 10-09-2004 4:31 AM crashfrog has replied

  
crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 9 of 49 (148358)
10-08-2004 12:26 PM


Another reason you might find Phi a lot in plants, etc, is because it's the natural result of the localized way living systems have to organize themselves. From Wikipedia:
quote:
The golden ratio turns up in nature as a result of the dynamics of some systems - for instance, in the angular spacing of trees around a trunk, or sunflower seeds. In both cases, the problem is "wedge this next one into the biggest available space".
It's a good heuristic for any computational problem of the form "we have an arbitrary number of things and we want to put them down without overlapping". Eg: shell sizes in shell sort, inserting items into hash tables and computation of fibonacci numbers.
Yeah. I just don't see the significance here. It's a natural result of the way living systems have to organize themselves, where each individual unit has no knowledge of the whole, only what's around itself.

Replies to this message:
 Message 12 by JasonChin, posted 10-09-2004 4:38 AM crashfrog has replied

  
crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 15 of 49 (148663)
10-09-2004 12:36 PM
Reply to: Message 11 by JasonChin
10-09-2004 4:31 AM


But Phi appears far more often than these numbers.
No way, dude. Didn't you read the Law?
Everything is related, directly or indirectly, to five. If you find something that doesn't appear to be, then you haven't looked hard enough yet. It's always true, you just have to look harder.

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crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 16 of 49 (148665)
10-09-2004 12:38 PM
Reply to: Message 12 by JasonChin
10-09-2004 4:38 AM


You mean to tell me the human body wouldn't operate if the length of......uh.......whatever it was divided by whatever it was (it's late, brain no work good) was 1.619 instead of 1.618?
I don't recall saying that.
The thing about your human proportion argument is that humans aren't actualy proportioned that way. To the Greeks, that was the perfect ideal of human proportion; the only people proportioned like that are Greek statues.

This message is a reply to:
 Message 12 by JasonChin, posted 10-09-2004 4:38 AM JasonChin has replied

Replies to this message:
 Message 18 by JasonChin, posted 10-10-2004 5:10 AM crashfrog has replied

  
crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 17 of 49 (148666)
10-09-2004 12:39 PM
Reply to: Message 14 by Rrhain
10-09-2004 5:26 AM


This card is restricted in Type 1 play, by the way.

This message is a reply to:
 Message 14 by Rrhain, posted 10-09-2004 5:26 AM Rrhain has replied

Replies to this message:
 Message 24 by Rrhain, posted 10-11-2004 1:28 AM crashfrog has not replied
 Message 26 by arachnophilia, posted 10-11-2004 7:14 AM crashfrog has not replied

  
crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 22 of 49 (148899)
10-10-2004 1:08 PM
Reply to: Message 18 by JasonChin
10-10-2004 5:10 AM


Are you saying that the length of the human body from the navel to the toes divided by whatever it was (or vice versa) doesn't equal Phi?
Yes, I'm saying that it doesn't, except in possibly a few individuals and in Greek statues.
It certainly doesn't in me. My legs are much longer in proportion than other people's.
This message has been edited by crashfrog, 10-10-2004 12:09 PM

This message is a reply to:
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crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 36 of 49 (149282)
10-11-2004 11:32 PM
Reply to: Message 35 by JasonChin
10-11-2004 11:22 PM


But it's not MY statement...........it's a statement from a number of "official" sources, going back to the Rennisance or earlier.
Again with the argument from authority. Why do you expect that to be compelling?
By what means did your "official" sources come to this conclusion?

This message is a reply to:
 Message 35 by JasonChin, posted 10-11-2004 11:22 PM JasonChin has replied

Replies to this message:
 Message 39 by JasonChin, posted 10-12-2004 12:21 AM crashfrog has replied

  
crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 46 of 49 (149323)
10-12-2004 12:45 AM
Reply to: Message 39 by JasonChin
10-12-2004 12:21 AM


especially when the authorities stretch back for hundreds or even thousands of years, with no refutation that anyone has mentioned.
But you've mistated the claims.
No one has claimed, not even the Greeks, that phi was a ratio found in all human beings. They simply asserted that it was the ratio found in ideal humam beings, without asserting that that ideal existed in anything but their statuary.
So your "authorities" don't even support your claims. No one but you has claimed that phi is found in all humans; the existence of humans in whom that ratio is not found proves you wrong. (It's called a "counterexample." You might look it up if you're unclear on the term. Counterexamples disprove arguments, even those from authority.)

This message is a reply to:
 Message 39 by JasonChin, posted 10-12-2004 12:21 AM JasonChin has not replied

  
crashfrog
Member (Idle past 1497 days)
Posts: 19762
From: Silver Spring, MD
Joined: 03-20-2003


Message 47 of 49 (149328)
10-12-2004 12:47 AM
Reply to: Message 42 by JasonChin
10-12-2004 12:34 AM


I am under the impression that there have been many authorities supporting the claim of the frequency with which Phi is found in nature, going back to the ancient greeks.
Your impressions don't count as authorities. Cite your source.

This message is a reply to:
 Message 42 by JasonChin, posted 10-12-2004 12:34 AM JasonChin has not replied

  
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