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Re: The Tao of I Ching's Yin Yang -
08-16-2007, 07:59 PM
Compliments of ProfPat's provided URL (excerpt):
A "whole" must consist of two opposite parts.
These two opposite parts must be mutually exclusive.
These two opposite parts are complementary to each other.
Seque to ___________________________
Compliments of Nobody's provided URLS:
Another circular symbol of balance--though seemingly with no central point--is the classic tai chi symbol representing Taoism.
But what few people realize is that within the circle there are actually two circles within the larger circle, and the two dots define their centers.
The simple fact of circles within circles leads to some surprising mathematics, a peculiarity of this symbol.
In the picture above, "r" designates the radius of the circle--the distance from the center of the circle to its perimeter, or circumference. The radius times two--in other words, the line from one side of the circle to the other--is called the diameter. Mathematics teaches us that the circumference of this circle is equal to pi (π=3.14) times the diameter, or:
πd which is the same as 2πr
Now look at the tai chi symbol again, and notice that the radius of the big circle is the diameter of the small circles.
Let's call the large circle "A" and the smaller ones "B" and "C." Let's say the diameter of Circle B equals 1. So the diameter of Circle A equals 2.
Then the circumferences of the two circles are:
A: 2πr=2x3.14x2=12.56
B: 2πr=2x3.14x1=6.28
And of course, even without a calculator, we can see that the circumference of Circle B is half that of Circle A. Since Circles B and C are equal in size, we can take half of the circumference of each to make one circle, right? And that is half of the length of the circumference of Circle A. So the red line and the blue line in this drawing are of equal length:
So what? Well, remember that in fact, you can put two circles inside each of Circles B and C, making four circles, whose half-circumferences also add up to the same:
And you can put two circle in each of those circles, and so on.
Notice now that the width of the yellow line from side to side--the amplitude of the wave, so to speak--is half that of the red line, which is half that of the blue line. So as each circle is divided in two, the line described by the half-circumferences becomes less and less wavy.
Do you see where this is going?
Take this down to the smallest level,
with hundreds of circles lined up, and their curvy half-circumferences will define a straight line!
In other words, there is an extreme paradox here, because you will eventually get a line that is both 6.28 and 2...at the same time!
This is a fascinating illustration of one of the basic points of Taoism, that all the seeming "pairs of opposites" in the world are actually manifestations of the Tao--the One behind the Many.
.
___________________
Hey Guys: We may be on to something, and something may be on to us.
(Something about parallel, mutually exclusive but complementary universes: squared?)
Either way, it's a mighty soberin' thought.
Great contributions to this thread. You Folks are transcending Truly Yours, at his own initial consideration.
Nobody is Somebody and ProfPat paramountly promotes herself. As for Michael. Well. He's a flocking Grand Master.
Lovin' it.
(Have a great Tao in the morning...)
Best regards, - RP
(George Berkeley, 1710) ... lay the beginning in a distinct explication of what is meant by thing, reality, existence: for in vain shall we dispute concerning the real existence of things, or pretend to any knowledge thereof, so long as we have not fixed the meaning of those words.
"All things come out of the one and the one out of all things." - Heraclitus "Reality is an illusion - albeit a persistent one." - Einstein "Particles give me a headache." - Ibid
Re: The Tao of I Ching's Yin Yang -
08-16-2007, 09:38 PM
Sorry R.P. but I'm a him and not a her.
Off the subject a little bit but the Tao Diagram helped me during my sexual ambiguous years of preteen puberty. I noticed Yang had Yin in him, and that Yin had Yang in her. Suddenly feeling like a wussy inside made sense and that I'm attracted to the woman, even though inside she is tough as nails, made sense.
But I digress.
Back to the symbol. I think you are right about the paradox. There is a similar paradox with the Pythagorean Theorem. ( square root of (a2+b2) = square root of c2).
It goes like this. You have a vertical line A which is 4" and a perpendicular ( horizontal ) line B connecting at the bottom which is 3". Now the diagonal line connecting those 2 points would be 5", using the Pythagorean formula.
But what if instead of a straight diagonal line, the line was stepped. Then line C would be 7". Vertical line A of 4" + horizontal line B of 3"
Now lets make the steps smaller and smaller. Still 7". Smaller and smaller and smaller. Its looking now like a diagonal line.
Lets go infintesimally small. At what point does that line go from 7" to 5"?
Back to your diagrams.
The last diagram showed the stasis status better, but the flow is still sugested, but it is more ambiguous as to whether the flow will be clockwise or coumter/clockwise. Half the particles go in a clockwise flow half go counter/clockwise.
A clockwise universe and a counter/clockwise universe. It really does make sense RP. And there is no known physical law prohibiting it. Back to thinking.
Re: The Tao of I Ching's Yin Yang -
08-17-2007, 12:41 AM
Sorry about the misunderstanding on your gender, Prof.
Anyway, you and Nobody contributed some superlative information to the thread.
For all the implications, it looks like we're only scratching the surface as well as our cranial vaults.
Thank you, Sir.
Best regards,
- RP
(George Berkeley, 1710) ... lay the beginning in a distinct explication of what is meant by thing, reality, existence: for in vain shall we dispute concerning the real existence of things, or pretend to any knowledge thereof, so long as we have not fixed the meaning of those words.
"All things come out of the one and the one out of all things." - Heraclitus "Reality is an illusion - albeit a persistent one." - Einstein "Particles give me a headache." - Ibid
Re: The Tao of I Ching's Yin Yang -
08-17-2007, 08:18 AM
Good morning world, I'm going to have a Tao day today.
R.P.: Thank God the universe only has a surface.
Nobody: My mind is so twisted its like a mobius strip, tied in a knot, with a lot of black holes.
Back to the steps. Since we live in a quanta world, would those little steps ever end? It may be that the straight line doesn't exist. Pretty twisted huh?
What I wanted to do here was to reintroduce the texts R.P. mentioned at the beginning of this Thread.
I have 4 favorites, which I'll list now with their English definition.
Tao Te Ching ( The way of Life, sometimes defined as, The way of Power )
I Ching ( Book of Changes )
Bible: Torah (Teaching, instruction, scribe, or law ) Gospels ( Good News )
Bhagavad-Gita ( As It Is )
Now a couple of quotes from the Gita specifically for Michael and MJA.
Chapter 5 vs 4 ( for Michael ) " Only the ignorant speak of karma yoga and devotional service as being different from the analytical study of the material world. Those who are actually learned ( you Michael ) say that he who applies himself well to one of these paths achieves the results of both."
And for MJA Chapter 5 vs 18 & 19. ( You are going to like this MJA ) "The humble sage sees with equal vision a learned and gentle brahmana, a cow, an elephant, a dog and a dog eater."( vs 18 )
" Those whose minds are established in sameness and equanimity have already conquered the conditions of birth and death. They are flawless like Brahman, and as such they are already situated in Brahman." ( vs 19 )
Re: The Tao of I Ching's Yin Yang -
08-17-2007, 04:52 PM
Quote:
Originally Posted by Profpat
And for MJA Chapter 5 vs 18 & 19. ( You are going to like this MJA ) "The humble sage sees with equal vision a learned and gentle brahmana, a cow, an elephant, a dog and a dog eater."( vs 18 )
" Those whose minds are established in sameness and equanimity have already conquered the conditions of birth and death. They are flawless like Brahman, and as such they are already situated in Brahman." ( vs 19 )
Best to all,
Pat
Super nice Pat, thank you.
Then the humble sage must share his vision of equality with those less fortunate, those who see and measure difference, so that they might see equally and become equal as himself.
Re: The Tao of I Ching's Yin Yang -
08-17-2007, 04:54 PM
"Back to the steps. Since we live in a quanta world, would those little steps ever end? It may be that the straight line doesn't exist. Pretty twisted huh?"
I see your twisted brain and raise you three twists, Pat. If there is such a concept as beyond birth and death, perhaps there is no living. Whereby life is thought to be real through quantitative thinking which breaks the transcendent state into evolutionary steps.
Eventhough it could normally be agreed that the steps would never end and the straight line doesn't exist, if the central point of every measured step is synonymous to the exterior of the steps (namely non-existence), neither the straight line nor the steps would actually exist.
I think I noticed a reference to that on the site I cited, where there is a still point at the absolute center of all illusory motion. Perhaps that is why many meditative practices focus on stillness.
Re: The Tao of I Ching's Yin Yang -
08-17-2007, 05:56 PM
MJA: You're welcome. I knew you would like it. Does this mean you are open minded to a little Eastern mysticism?
Nobody: I fold. My biggest fear is to get into a metaphysical discussion with you or Frederick. ( I'm no match for you. No contest, my friend.)
R.P. ( or anyone ): I've been thinking about the surface of the universe. Due to the Michelson/Morley experiment of not being able to measure the ether they eliminated it. But I never understood the difference between Einstein's spatial sheet and the ether. Isn't that a medium similar to the ether?
PLEASE HELP ME ON THIS I'M CONFUSED. ( my at rest state of being )