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Saturday, April 2, 2011, 7:30:42 PM- Divine Chaos

As we go through our lives moment by moment, we generally see no pattern, no rhyme, no reason. When we look back on our lives, however, there is a clear and obvious pattern. Everything was being guided toward a goal. I can assure you, from my own life, that that is true.

This is one way to view chaos theory. It is emphatically not a view that holds things are random. Chaos and randomness are vastly different.

At the same time, our lives, or even the universe itself, are not periodic (repeating). Once we can grasp onto that notion, I truly think we can sense something beyond ourselves. Call it a Reason. Call it what you want.

To me, because of the symphonic unfolding of my life, I know there is a Purpose. I hear the music. I hear it right now.

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Most Recent Comment:	"May your heart always sing such a beautiful song..." - artworks

Thursday, March 31, 2011, 7:04:27 AM- God, Fibonacci's Teleology and Fractals

It is very hard for me to explain here what I want to, But I will try

I need to ask that you accept on faith that many contemporary physicists and mathematicians have abandoned atheism because it is more likely there is a God than not. Contemporary Quantum Mechanics substantiates this.

In desperation, atheists have resorted to the absurd and nearly impossible. They attempt to escape this conundrum in the only way left to them; they postulate a hypothetical infinite number of unobservable universes from which a highly ordered one could have been a random occurrence. Contemporary atheism is thus xxxxxx to argue for the actuality of an essentially zero-probability event by postulating something in principle unobservable. Plainly put, that is ridiculous.

I can’t believe that!’ said Alice. ‘Can’t you?’ the Queen said in a pitying tone. ‘Try again: draw a long breath, and shut your eyes.’ Alice laughed. ‘There’s no use trying,’ she said: ‘one can’t believe impossible things.’ ‘I daresay you haven’t had much practice, said the Queen. ‘When I was your age, I always did it for half-an-hour a day. Why, sometimes I believed as many as six impossible things before breakfast.’” -Lewis Carroll, Through the Looking Glass

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Most Recent Comment:	"I agree wholeheartedly. Faith in your senses is still faith. Therefore, an atheist depends on faith. Often an atheist makes the mistake of concluding that the rejection of a myth equates the rejection of God." - Epicurus3

Tuesday, March 29, 2011, 10:47:30 PM- There Are No Numbers Without Names

Natural numbers are given, but it is still necessary to give a name to each number. Without a name there is no mathematics. After we name the natural numbers we can go on to the issue of measuring. We can name all the numbers of mathematics like this:

The name we give a number allows us to count, measure, or calculate. "Five cars." "Five trees." "Five hours." "Half of a cup." "Three yards."

Five is the name of the idea of a specific number. If there is a number X, the X must have a name.

The name provides individuality, which makes it useful. There are no numbers without names. What would that even mean? What purpose would they serve?

The language of mathematics makes mathematics possible. By the same token, language of any type, makes a specific area possible, i.e., real.

Do numbers exist without names? Does anything exist without a name? Before condition X was named, did it exist? No that would be impossible just like it is for mathematics where a number has a potential existence but not actual existence until we name it.

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Most Recent Comment:	"Numbers and concepts can exist without names. Look at the sequence of events. Some thing is discovered then named. Not the other way around. A number is a concept. After a concept is conceived then it is named. Changing the name does not change the reality. Shakespeare described this with his rose by any other name." - Epicurus3

Sunday, March 27, 2011, 7:40:36 PM- The World Creates Itself

Obviously we are able to count things; apples, oranges, atoms and protons. When we count, we create because in counting we distinguish things. But at this point we seem to be stuck and unable to move on. Distinguishing is so basic that it is impossible to define.

To move ourselves from this corner we would need to give a name to each number. That is, a number must be attached to something; 2 cups of tea, 6 people, 29498 jelly beans. Without the attachment, the number is meaningless.

Consider Euclid's geometry. We have a circle in our mind. But that circle does not exist until we have drawn it. Or, to put it another way, a square does not exist until we have agreed on a definition.

Furthermore, we deal with number strictly through their name. The number exists the moment we name it.

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"The circle you draw is not the circle you are thinking about. It might represent the circle you are thinking about but it is not the same circle. You can think of a mathematically perfect circle, but no matter how good your compass is, the circle you draw will not be perfect. The flaws may be so small as to be inconsequential but they are still present. If the concept of a circle did not exist, then you could not communicate it to others. Yet, all you have to do is say circle and we share the same concept."

- Epicurus3

Saturday, March 26, 2011, 9:29:46 PM- What is a Number?

A key issue in terms of what I think of as metaphysical mathematics, is the concept of number, viz., what is a number? The attempts at a reasonable definition I have seen fail miserably. Einstein said something along the lines of this; a number by itself has no significance and only deserves the designation of number by virtue of its being a member of a group of objects with some shared characteristics.

I would have agreed with Einstein a year ago. I don't now, however, because I believe numbers have monumental significance. This significance ranges far beyond the pragmatic areas of, for example, building a house. I believe, in fact, that it may reach to the very essence of being itself and even to deity.

First though, I must come to grips with the definition of 'number.'

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Most Recent Comment:	"Yes, 18 is a goddess!" - artworks

Friday, March 25, 2011, 6:46:46 AM- My Blogs

I was shocked and a bit hurt at a comment that was made pertaining to my blog.

For the record, let me say that I am not clever, nor am I a mathematician or a scientist. I am interested in the things I write about in my blogs. This began with a sincere interest in spiral shape, stimulated by a Youtube video I saw. [url]https://www.youtube.com/watch?v=-Ibc8sD5sgw[/url]
This interest led me to continue my search and soon I found myself learning about Fibonacci numbers and the golden section in art, architecture and music.
I have actually met a couple of others people here who share this interest and they got me going on chaos theory, fractals and even pure mathematics.
I find that a prejudice against things regarded as intellectual to be a kind of reverse snobbism. I myself do not come from privilege. My musical taste is not restricted to classical music, nor my diet to gourmet food. I read best sellers and pop psych. I seldom watch foreign films, finding myself more drawn to romantic comedies.
I have grown to like mathematics, at least the things mentioned, after having disliked it most of my life.
In the end, I think this stuff is cool, but then my name is 18 and I guess there is a reason for that.

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"18, I truly hope you continue to share your insights and musings. I have actually refrained from perving around because I am absolutely fascinated by your blog. I will warn you. I may pompously pipe in with my own views from time to time. It that comes off as arrogant, know that that is my character flaw and has nothing to do with you. All that being said I find you quite clever. Don't stop!"

- Epicurus3

Thursday, March 24, 2011, 5:39:39 AM- Reality

I have come to the conclusion that mathematics DOES say something about reality. This goes against what I have believed most of my life. And not only does it say something about reality, it says something about the fundamental nature of the universe.

For starters, the Fibonacci sequence is frequently found in nature. If metaphysics "examines the nature of reality, including the relationship between mind and matter, substance and attribute, fact and value" (The Free Dictionary), then it seems to be the case that the Fibonacci sequence could be applied to metaphysical exploration of more effective, harmonious ways to involve ourselves in reality. That is, we can transcend being through mathematics.

After studying this for awhile, I have to conclude that there is a connection to the ultimate source of Being and that Being is God.

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Most Recent Comment:	"That is an excellent description of God."The ultimate source of being." I am going to steal that." - Epicurus3

Tuesday, March 22, 2011, 4:52:21 AM- Fractals and the Beautiful

A fractal is a fragmented geometric shape that can be split into pieces. Evey one can (at least approximately) be a reduced-size copy of the whole. The roots of the idea of fractals go back to the 17th century. Lots of people were involved in this, but the term fractal was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured."

The beauty that can result from fractals is absolutely mind boggling. While it is math, it is reality.

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Most Recent Comment:	"more musical trivia lol" - ynottt

Sunday, March 20, 2011, 1:19:37 AM- Fantastic, Unbelievable Fibonacci Spiral Music

In a music scale, the prime note is the 5th note of the major scale. This is also the 8th note of all 13 notes that comprise the octave. This provides an added instance of Fibonacci numbers in key musical relationships.

Interestingly, 8/13 is .61538, which approximates phi. In addition, the typical three chord song in the key of A is made up of A, its Fibonacci & phi partner E, and D, to which A bears the same relationship as E does to A. This is analogous to the "A is to B as B is to C" basis for the golden section, or in this case "D is to A as A is to E

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"Musical scales are based on Fibonacci numbers

The Fibonacci series appears in the foundation of aspects of art, beauty and life. Even music has a foundation in the series, as:
There are 13 notes in the span of any note through its octave.
A scale is composed of 8 notes, of which the
5th and 3rd notes create the basic foundation of all chords, and are based on whole tone which is
2 steps from the root tone, that is the
1st note of the scale.

Note too how the piano keyboard scale of C to C above of 13 keys has 8 white keys and 5 black keys, split into groups of 3 and 2.
While some might "note" that there are only 12 "notes" in the scale, if you don't have a root and octave, a start and an end, you have no means of calculating the gradations in between, so this 13th note as the octave is essential to computing the frequencies of the other notes. The word "octave" comes from the Latin word for 8, referring to the eight whole tones of the complete musical scale, which in the key of C are C-D-E-F-G-A-B-C.

In a scale, the dominant note is the 5th note of the major scale, which is also the 8th note of all 13 notes that comprise the octave. This provides an added instance of Fibonacci numbers in key musical relationships. Interestingly, 8/13 is .61538, which approximates phi. What's more, the typical three chord song in the key of A is made up of A, its Fibonacci & phi partner E, and D, to which A bears the same relationship as E does to A. This is analogous to the "A is to B as B is to C" basis for the golden section, or in this case "D is to A as A is to E.""

- ynottt

Saturday, March 19, 2011, 4:22:54 AM- Spirals in Music

The Fibonacci series (spirals) is the foundation for all aspects of art, beauty and life.

Even music has a foundation in the series. Consider this: There are 13 notes in the span of any note through its octave. A scale is composed of 8 notes, of which the 5th and 3rd notes create the basic foundation of all chords, and are based on whole tone which is 2 steps from the root tone, that is the 1st note of the scale.

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Most Recent Comment:	"where do you get all this weird shit 18th ???" - ynottt

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