Infinity and Infinitesimals - Part III


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Next, what of negative numbers, and so-called imaginary numbers, such as the square root of -1? These numbers are found along a second and third axis, respectively, defining coordinates in a space existing along three dimensions when taken together with the first axis. The first dimensional coordinate axis is the axis I described with “1" at the center, the numbers less than 1 on one side and the numbers more than 1 on the opposite side. The second axis has -1 at the center, but the two sides are the numbers larger than -1 (like -0.5) and the numbers smaller than -1 (like -2, etc. ).

The third axis has the root of -1 at the center, and the parts of the axis on each “side" of the center are like the parts on the first axis I described, with the exception that each of the values are multiplied by the square root of -1, or the symbol "i", as designated by mathematicians. For example, the number on the third axis corresponding to the number “2" on the first axis is the number 2i, or 2 multiplied by the square root of -1. The opposite side example would be a number such as 0.5i, or 0.5 multiplied by the square root of -1.

Number is the opposite of a positive one. In this new model, a negative number is simply a number on a coordinate axis at right angles to the so-called positive axis. The problem arose when positive numbers and negative numbers were placed on opposite sides of zero on the same axis. Consider that negativity should be understood as a dimensional, or directional, attribute, not a value attribute.

The truth, then, is that adding positive and negative numbers is like adding west and south; it can only be done in the sense of fixing the location of a point using west and south coordinates relative to a reference point, or center. The relative distance from the point described by the coordinates to the center would, in essence, be the sum of the two directional attributes, or vectors. However, this is not the same as a sum defined as the result of adding two numbers. Using this new coordinate axis model, a point may be located anywhere in this complex space by using three coordinates, one from each axis given. The center coordinates are (1, -1, 1i); contrast this observation with the conventional model, in which the coordinates of the center are (0, 0, 0). The idea that 0 is the center is congruent with the concept that such a thing as true “nothingness" exists, and encompasses the idea that from nothing came all that we know of as the physical universe. Likewise, the possibility of having “nothing" (0) is an artifact of the concept of limitation and separation which, as I have previously explained, is not Reality. To “have nothing", in Truth, would mean that you could have no consciousness of the fact, by definition.

symbols to represent dimensionality, and is not an insoluble mathematical problem. You see, while we are using different symbols to represent coordinates in a space along three dimensions; the center of one axis is the same as the center of the other two axes, but with each axis itself oriented at right angles to the others. In order to describe coordinates for points on the different axes and distinguish the axes one from another, we use a different symbol (the minus sign, “-", or the letter “i") but the “three centers" are all, in fact, the one center, or One.

She lives with her family in south Florida, U. S. A.


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