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God- The Great Geometer

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Introduction

God- The Great Geometer Since the dawn of mathematics, humans have tried to use it's methods to answer this question: What are we, and everything around us, made of? The ancients believed that the world was made up of four basic "elements": earth, water, air, and fire- "for the Creator compounded the world out of all the fire and all the water and all the air and all the earth, leaving no part of any of them nor any power of them outside"1. Around 350 BC, the ancient Greek philosopher Plato, in his book Timaeus, theorized that these four elements were all aggregates of tiny solids (in modern parlance, atoms). He went on to argue that, as the basic building blocks of all matter, these four elements must have perfect geometric form, namely the shapes of the five "regular solids" that so enamoured the Greek mathematicians -- the perfectly symmetrical tetrahedron, cube, octahedron, icosahedron, and dodecahedron. As the lightest and sharpest of the elements, said Plato, fire must be a tetrahedron. Being the most stable of the elements, earth must consist of cubes. Water, because it is the most mobile and fluid, has to be an icosahedron, the standard solid that rolls most easily. ...read more.

Middle

(Figure 1) A circle contained within that square has an area of half the original circle, so the light within it and the darkness around it are equal. Next, he separated the dry land from the ocean. To imitate that, you divide the inner circle into six parts by use of the compass. Inside it you can then draw a rhombus, a diamond shape made up of two equilateral triangles. The diagram now contains an inner circle and two concentric rings. Their respective areas, beginning at the centre, are 1, 2 and 3. This diagram has numbers and measures attached to it. The first, outer circle represents the whole universe and the 12 gods or astrological dominants that rule it. Its area is therefore 'factorial 12' - meaning the numbers from 1 to 12 multiplied together. From that you can calculate that the radius of the inner circle is 5,040, or factorial 7. This inner circle with radius 5,040 (or 1 x 2 x 3 x 4 x 5 x 6 x 7) represents the 'sublunary' world, or world beneath the moon, in which we live. It is called the cosmological circle or Holy City diagram. Even as recently as 1956, Paul Dirac, one of the founders of quantum mechanics, wrote "a physical law must possess mathematical beauty"5 When it ...read more.

Conclusion

We like easy and straightforward patterns. Humans attempt to comprehend the intricate geometry in nature, and each time a new type is discovered, we attempt to handle it, and point out imperfections- but god accepts them without doubt. So, we can see that god is a geometer, although he/she is much better at it that we are, or ever can be. As Kepler and the Greeks saw god as 'Geometer', and Newton saw God as 'Watchmaker', we now see god as a 'Computational Process'- the idea steadily gets more complex as the years go on and we realise the complexity of the universe. Figure 1 1 Plato, Timaeus. (2000). Hackett Publishing Co. (translated by Donald J. Zeyl ) pg15 2 Plato, Timaeus. (2000). Hackett Publishing Co. (translated by Donald J. Zeyl ) pg 25 3 http://www.bbc.co.uk/history/historic_figures/galilei_galileo.shtml 4 Stewart, I. & Golubitsky, M. Fearful Symmetry. Is God a Geometer? (1992) Blackwell Publishers. Oxford. Pg 1 5 Stewart, I. & Golubitsky, M. Fearful Symmetry. Is God a Geometer? (1992) Blackwell Publishers. Oxford. Pg 1 6 Stewart, I. & Golubitsky, M. Fearful Symmetry. Is God a Geometer? (1992) Blackwell Publishers. Oxford. Pg 243 7 Stewart, I. & Golubitsky, M. Fearful Symmetry. Is God a Geometer? (1992) Blackwell Publishers. Oxford. Pg 244 8 http://www.mcmaster.ca/russdocs/russell.htm ...read more.

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