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August 7, 2008
Amanda’s Favorites: Part 1; Mathematics to Describe Philosophies
Filed under: review/opinion — Amanda @ 1:24 pm

Lately I’ve been thinking about my favorite movies, books, songs, etc. and the common themes between them. There are some pretty strong correlations.
One strong theme is my affinity for philosophy that is described mathematically. I’ll highlight some notable examples below.
The Eye of Horus: Ancient Eye of Horus (from Wikipedia commons)Egyptian culture makes many cases to the importance of art, storytelling, cats, and death. Naturally I would appeal, then, to all things ancient Egypt. But nothing compares to the Beauty of the Eye of Horus. This symbol is pure poetry by it’s complexity of meaning. I love how practical use, such as measuring grain or notating the phases of the moon, is combined with physiology and psychology and myth. I searched for quite a while trying to find a web page that briefly described each area of meaning for The Eye of Horus (math, senses, psychology, myth), but was unable to find one. Instead I found many pages that described only elements of the symbol. When you delve into the symbol and how complexly it evolved over time, it is quite fascinating. It is almost as symbolically perfect as the periodic table of the elements. I am endlessly fascinated by the brilliance of this symbol and how well the math fits with all of the other meanings.

Exert from Geocities:
The EYE OF HORUS has a very specific meaning. The eye is represented as a figure with 6 parts. These 6 parts correspond to the six senses - Touch, Taste, Hearing, Thought, Sight, Smell. These are the 6 parts of the *eye*. The eye is the receptor of *input*. It has these six doors, to receive data.
The construction of the eye follows very precise laws. The senses are ordered according to their importance. And according to how much energy must be *eaten* by the *eye* for an individual to receive a particular sensation. All of the sensory data input is *food*.
In the Ancient Egyptian measurement system, the EYE OF HORUS represented a fractional quantification system to measure parts of a whole. [ Get a book on Egyptian stuff or scan the internet for Egyptian Math see for e.g. “Understanding Hieroglyphs” by H. Wilson, ISBN 0-8442-4604-2 ]
The entire eye measured 1 heqat. And each of the parts of the eye measured fractions of the heqat.
[ THE EYE OF HORUS ]
These are the parts of the EYE and their corresponding associated fraction values :-
1/64 1/32 1/16 1/8 1/4 1/2

The corresponding sense data are :-
1/64 heqat Touch 1/32 heqat Taste 1/16 heqat Hearing
1/8 heqat Thought 1/4 heqat Sight 1/2 heqat Smell
Also, in the Egyptian system there is the unit of the ro. And by definition 320 ro = 1 heqat. The symbol for the ro is the mouth, it represented one mouthful. Again associating these measures with food, or input data.
Now if we consider the ro as the smallest unit of input energy needed for the input to *register* as sense data. We note,320 = 5 x 64 and so in terms of ro we have 5 ro to register a Touch 10 ro to register a Taste 20 ro to register a Sound 40 ro to register a Thought 80 ro to register a Light 160 ro to register a Smell
To see how the drawings of the eye correspond to the various senses note:-

1. Touch 1/64 heqat or 5 ro
This part of the EYE represents planting a stick into the ground. Like planting a stalk that will take root. The Earth represents touch. Planting itself represents physical contact and touching.

2. Taste 1/32 heqat or 10 ro
This part of the EYE represents the sprouting of the wheat or grain from the planted stalk. It is the food we put into our mouth. And so represents taste. Taste is also = Touch + Shape. That is to say, the different tastes we experience come from touching different shapes. So, touch is more a fundamental sense that taste.

3. Hearing 1/16 heqat or 20 ro
This part of the EYE represents the EAR. The figure points towards the ear on the face. Also, it has the shape of a horn or musical instrument. When we Hear a sound or combination of sounds we find this to be pleasing or unplesant. The sound has a taste for us, causing a preference. Sound requires Touch + Taste and so is a combination of the lower senses.

4. Thought 1/8 heqat or 40 ro
This part of the EYE represents thought. We often use our eyebrows to express our thoughts. And this facial feature is closest to that part of the forehead we associate with thinking. We raise our eyebrows to express surprise, for example. Thought = Touch + Taste + Hearing. If you think :) about it. Thinking is a kind of surpressed sound. The language we think in is like the *touch* of muscle prior to giving voice. And of course, we have a *taste* for different types of thoughts.

5. Sight 1/4 heqat or 80 ro
This is the pupil of the EYE. And so no more needs to be said. It represents seeing, or the sensation of light.

6. Smell 1/2 heqat or 160 ro
This part of the EYE points to the nose. It even looks like a nose. It represents the sensation of smell.

Chaos theory: This newly developed math implies so much more than just complex mathematical formulas, in can also be used to extrapolate theories Fractal Ferm from Wikipedia Commonson determinism and the prevalence of free will and existentialism. I find philosophical theories pretty hard to argue when they can be mathematically represented. This, I understand, is a juvenile belief of mine, since our ability to represent anything mathematically becomes easier as modeling systems become more sophisticated. Chaos, though, also nicely brings full circle my appreciation for art. I find fractal art quite beautiful and would proudly display some of my own fractal creations in my home! I am also endless fascinated by weather and meteorology. My love of chaos, weather, and natural art feed on each other nicely. At any rate, it seems I was exposed to a lot of Chaos media during my deeply impressionable teen years, and the love stuck. If I had the brain enough to, I would love to sit and philosophize using mathematical formulas. How cool would that be?
A few movies fall into this category, namely Pi, and What the Bleep Do We Know!?(Wikipedia, by the way, fails to see the humor in comparing physics and consciousness, a subtlety that perhaps can only be understood if you are an Oregonian).

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