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5. Matter- the Unita
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| 5.24 |
The concept of logarithms and circles of numbers |
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| For much of our day, as has been the case for humans much of their existence, the numeric representations most often used in conversation are quite small- mostly ranging from one (I, you, me, he, she, it) to a few (they). However, increasingly our lives depend upon larger and larger numbers, whether it be the remembrance of telephone numbers, account numbers, product numbers or even large values. | ||
| So it is, the universe and even biology is dealing with vast numbers, sometimes ten to even twenty digits in length. Thankfully we have tools that simplify the process of managing the calculation of large numbers. Yet their existence is unavoidable and our requirement to at least have an understanding of them is vital. | ||
| While the consideration of Geometry in the context of curved surfaces provides a greater understanding of the objects of the natural world, there is still the understandings associated with very large numbers. | ||
| In the previous section, we considered the concepts associated with Geometry and point theory. These concepts are vital for the establishment of measure and position. | ||
| However, there is an additional method of position and measure that we use every day based on relative position around a circle. A watch for example is a method of measuring time, in terms of circles (hours) of time. | ||
| The circle in this instance, represents the powerful concept that a day may be regarded as an aggregate of smaller cycles of time called hours. The circular nature of the watch face enables the major hand to rotate from left to right around the watch face to demonstrate minutes within the hour. The smaller hand then denotes the unique hour of the cycle. | ||
| Circles are therefore an excellent representation of an enclosed cycle of position and movement- such as a planet, ecosystem, human body, group of moving bodies. | ||
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The question is what method of measure may be used to describe relative position and value. This is the purpose of this chapter, to describe the concept of logarithms and circles of numbers. |
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| 5.24.1 | Line theory | |
| As discussed in the previous section, point theory (Cartesian geometry) and line theory are the most popular methods used for determining position. More recently, vector geometry as discussed has been used to store position information for computers, saving tremendous amounts of disk space. | ||
| Line theory is simply the display of objects relative to one another on an extended line pointing one way and then another (infinitely). 0 is normally describe as the middle point, with numbers to the left being negative and those to the right being positive. | ||
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| In this model, the value of 0 is unique to 0, 1 is unique to 1 and so on. While infinity still has to be contended with at the extremes, no paradox exists. As such, the Cartesian line model forms the simplest description of logic in math and the general success in eliminating paradox. | ||
| 5.24.2 | The power of the circle in relation to relationships of values | |
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| An alternative to this theory is the concept that the line is enclosed- part of a continuous circle so that 0 merely represents the meeting point, the balance point between two opposite sides. | ||
| Unlike Cartesian thinking, the numbers 0 and 1 are intertwined in an unending struggle- an eternal paradox. Thereafter (from 2 and above), the numbers are similar to Cartesian. | ||
| In addition, the circle enables us to consider all numbers as being able to be written as a combination of a fraction of the value of a circle by a constant base. There is no need to learn larger and large numbers, just fractions and multiples ( perspective). | ||
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