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> The use of Math on the Path, Using math as a tool for self discovery
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post Apr 30, 2005, 04:52 AM
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The Myth of the Machine – The Pentagon of Power ( ? ) – Lewis Mumford

At every point in development, the concrete, the empirical, and the historical on the one hand and the abstract, the mathematical and the analytical on the other, have both been necessary for forming an adequate picture of reality.

Types of business personalities: finders, collectors, fabricators, manipulators, etc.

Every man is a dabbler, if not a master in all knowledge. Every man is a divine, a physician, and a lawyer to himself, as well as a counsellor to his neighbours.

16th century mechanistic conversion of society – purely mechanical forms were superimposed upon every manifestation of life, thereby suppressing many of the most essential characteristics of organisms, personalities, and human communities.

16th century depersonalized world picture – mechanical activity and interests took precedence over more human concerns.

Copernicus, Kepler, Galileo, Descartes, Leibnitz, Newton were the driving forces in this transformation. Also note Boyle, Maxwell and Planck.

Marxist historians see feudalism as a universal historical stage through which all societies must pass before the emergence of capitalism.

Whereas many of the older ideologies of life had mistakenly accepted a static, earth centred world, with only the most limited possibilities of change, mostly of a cyclical or apocalyptic order, the new ideology fostered an intense interest in space, time, motion, in their widest cosmic setting, not the settings in which organisms actually function in their earthly habitat, intermingled with other organisms, pursuing their own further life potentialities.

Abstract motion took possession of Western mind. the rotation of the earth, the majestic geometric path of the planets, the swing of the pendulum, the arc described by hurtling projectiles, the exact motions of clockwork, and the rotations of watch wheels.

Speed shortens time, time was money, and money was power.

Farther and farther, faster and faster, became identified with human progress.

Metaphors and analogies derived from the machine were applied shrewdly, if coarsely, to organisms in order to reduce life to its quantitative mechanical and chemical components. This seemed an infallible method of eliminating the ultimate mystery of life itself.

Western man’s views of the new world – the geographic new world, with the Sun as the centre of the universe, the mechanical new world, and historical time, which released man from the grasp of his unconscious past, with its buried traumas and its futile repetition of attested errors.

The human figure as a mechanized automaton – that which is self-moving, self-acting machine; a mechanical contrivance, which imitates the arbitrary or voluntary motions of living beings; a person who acts mechanically.

Mechanization of the world picture.
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post Apr 30, 2005, 05:12 AM
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QUOTE (Trip like I do @ Apr 26, 02:11 PM)
The self is the physical universe.  Artists have proven that body/figure is but mathematical proportion.

Check out Leonardo da Vinci's "Proportions of the Human Figure" (1501).

I actually seen this piece along with the Mona Lisa at the da Vinci exhibit in Victoria, B.C.

http://www.davincilife.com/vitruvianman.html
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post Apr 30, 2005, 05:16 AM
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QUOTE (Dakota @ Apr 26, 07:56 PM)
....If so how much easier would it be to emphasize a given point; spiritually, socially, politically or whatever the situation called for....

A point is that which has no part.
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rhymer
post May 01, 2005, 02:15 AM
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Most aspects of our lives are immersed in the language of mathematics.

We are divided on so many issues, we add insult to injury, we seek the roots of our existence, and the powers to control and differentiate information as we integrate many aspects of our experiences. How many times do we get things out of proportion or factor in false assumptions? We set ourselves numerous tasks and seek common denominators for categorisation. [spot the 'mathematical' terms in that].
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post May 01, 2005, 07:32 AM
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QUOTE (rhymer @ May 01, 05:15 AM)
Most aspects of our lives are immersed in the language of mathematics.

We are divided on so many issues, we add insult to injury, we seek the roots of our existence, and the powers to control and differentiate information as we integrate many aspects of our experiences. How many times do we get things out of proportion or factor in false assumptions? We set ourselves numerous tasks and seek common denominators for categorisation. [spot the 'mathematical' terms in that].

We....divided....add....roots....powers....times....proportion....factor....set....numerous....common denominators....categorisation....
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post May 01, 2005, 08:15 AM
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You missed differentiate, integrate and false. And we both missed 'true' which is unforgiveable!
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post May 01, 2005, 08:18 AM
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True, although I did stop momentarily over differentiate and false. I don't know though about integrate.
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post May 01, 2005, 08:36 AM
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The rate of change in the useage of integration has transformed my opinion about its value.
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post May 01, 2005, 09:07 AM
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integration has been the key to multiculturalism. differentiation leads to disharmony. there is no room in modern society for individualism, unless you have the money to pay for it, or are good at mathematics.
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post May 02, 2005, 06:53 AM
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QUOTE (Dakota @ Apr 25, 07:48 PM)
1. What areas of math are most important to learn for a person(like me) who doesn't know math very well at all and, wants to learn exclusively for purposes of expressing self discovery, on many levels....

1. Geometry - space perception, manipulation, and explanation..
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post May 02, 2005, 08:57 AM
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QUOTE (Trip like I do @ Apr 29, 05:44 PM)
Binary strings? How so?

Every idea that can be communicated can be expressed in a book, drawing, painting, movie, audio file, or computer screen. Those things can be encoded as binary strings. Therefore, the set of all ideas is equivalent to the set of all binary strings.
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post May 02, 2005, 10:19 AM
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Like the movie, "The Matrix"?
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Rick
post May 02, 2005, 12:08 PM
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Not quite. "The Matrix" used human brains for experiencing the simulation.
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post May 02, 2005, 12:14 PM
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Express something in a binary code then Rick, just as an example.
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post May 02, 2005, 12:18 PM
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110 in binary is the number six.

A point in space has three number coordinates. These can be expressed in binary. Three points in space denote a triangle (nine binary numbers).

A JPEG image file consists of n bytes. Each byte is eight bits. The JPEG image is stored as binary. And so on for all things that can be known. Every book, picture, concept, etc.
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post May 02, 2005, 12:29 PM
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So, this of course is possible only if we still believe in the old doctrine of a mathematical paradigm, where each particle of matter is broken down into the single point of geometrical proportion of a circle of matter. What happens when we break beyond this micro cosmic point, and delve into such theories like string theory which postulates that a string/wave like element is the fumdamental force that drives matter, nature and the cosmos?

Are these dimensions of reality binary?
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post May 02, 2005, 03:22 PM
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the letter 'A' converts to '01000001' in binary.
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post May 03, 2005, 08:22 AM
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You are misunderstanding me again. I am not saying that "all things are number" as Pythagoras did. I am only saying that all ideas can be "expressed" as numbers.
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post May 03, 2005, 08:26 AM
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So, for example, how would the idea 'idea' be expressed in binary?

A certain number sequence for each letter that is stringed together to form the whole?
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post May 03, 2005, 08:33 AM
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Very simply. Take my definition of "idea," expressed in English, and take the ASCII value for each character in that expression, and string them together as a binary string.
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post May 03, 2005, 08:41 AM
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The whole definition and not the word?

Does that make it universal, so that all languges can be coded under the one binary system?

Just ideas!

A 24 inch by 24 inch box is expessed in one binary code no matter the language it is expressed in?

Interesting indeed.
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post May 03, 2005, 09:22 AM
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QUOTE (Rick @ May 02, 08:57 AM)
QUOTE (Trip like I do @ Apr 29, 05:44 PM)
Binary strings?  How so?

Every idea that can be communicated can be expressed in a book, drawing, painting, movie, audio file, or computer screen. Those things can be encoded as binary strings. Therefore, the set of all ideas is equivalent to the set of all binary strings.

Lets represent the universe as one long binary string.
Assuming 'consciousness' as the fundamental reality,
'1' is represented by 'presence of consciousness' and '0' is represented by (illusory) 'absence of consciousness'.

With respect to the binary string of our universe, we are conscious of only '1's and are trying to interpret the '1's without having any clue about the '0's
Now, it is a simple mathematics that it is not possible to interpret the binary string, without being conscious of both '1's and '0's.

The result is misinterpretation (material/physical error?!).
We may interpret (for example) both '111011' and '111000011' as '111-11'

But if we try to be conscious of a '0', it will immediately change its state to '1' (similar to the quantum mechanics concept of observer affecting the measurement)

The result is again a misinterpretation (spiritual/quantum error?!).
We may interpret (for example) '111011' as '111111' and '111000011' as '111111111'

We are creating '0's by pretending the 'absence of consciousness', in order to create a binary string which represent the universe.

With respect to the binary string (universe), '0'('absence of consciousness') has a reality.
With respect to consciousness, '0' is illusory.

Conclusion from this hypothesis:
Our universe is mathematical. But, math will never help us in self-discovery.
Because,
Math needs ‘0’ ('absence of consciousness’).
But, self-discovery eliminates ‘0’, by discovering the consciousness, which pretends to be absent.

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post May 03, 2005, 10:55 AM
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QUOTE (Trip like I do @ May 03, 09:41 AM)
The whole definition and not the word?

Does that make it universal, so that all languges can be coded under the one binary system?

Just ideas!

A 24 inch by 24 inch box is expessed in one binary code no matter the language it is expressed in?

Interesting indeed.

There is an unlimited number of coding systems. Just decide on one. All other coding systems could be encoded in one master system it you want, but I don't think standards committees will ever decide on one.
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post May 03, 2005, 11:00 AM
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QUOTE (Rajesh @ May 03, 10:22 AM)
Lets represent the universe as one long binary string....

It's still only a representation, an idea that has no substantial existence. Matter and consciousness are things that have existence. Ideas do not.

Examples of ideas:

Numbers.
Shapes.
Plato's "forms."
Contents of books.
Computer files contents.
Software.
Contents of minds.

All ideas must be physically encoded in order to know or communicate them. Our thoughts are brain encodings of ideas. Books are ink encodings of ideas. Computer files are digital encodings of ideas.

A book exists. The ideas the book encodes do not "have existence" (in my formal sense of the word).
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post May 03, 2005, 03:35 PM
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QUOTE (Rick @ May 03, 01:55 PM)
There is an unlimited number of coding systems....

An infinite number?
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post May 03, 2005, 03:45 PM
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There is a fine mathematical distinction between "unbounded" and "infinite"!

Unbounded means that you can keep adding new ones as you please. Infinite means a correspondence between the items in the set and the (infinite) numbers.

So if we are itemizing the coding systems, they seem to be unlimited, but we can't yet prove they're infinite! We must be mathematically precise, mustn't we?
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post May 03, 2005, 03:49 PM
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It's the only way, is it not?
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post May 03, 2005, 03:50 PM
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Absolutely. Apply critical thinking at every opportunity.
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post May 04, 2005, 12:00 AM
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QUOTE (Rick @ May 03, 11:00 AM)

All ideas must be physically encoded in order to know or communicate them. Our thoughts are brain encodings of ideas. Books are ink encodings of ideas. Computer files are digital encodings of ideas.

A book exists. The ideas the book encodes do not "have existence" (in my formal sense of the word).

universe/matter is conscious encoding of ideas !
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post May 04, 2005, 10:24 AM
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Most matter in the universe is not conscious. Consciousness is a special rarity, which is known to occur on only one planet in all creation.
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