Infinity and Infinitesimals

"One is the Onliest Number"

In conventional mathematics, an infinitesimal is defined as a number that is greater than zero, but whose value is too small to be measured. Such a concept seems as refractory to understanding as the concept that Infinity is a value so large that it cannot be measured. Both Infinity and infinitesimals have the quality of being unmeasurable, so for purposes of space/time Experience, the infinitesimal and Infinity are disregarded in favor of the fixed, tangible measurement.

However, measurements in general are of very limited value without a reference measurement. For example, to know what a "meter" is, you must have a reference meter that you can use in order to verify that, in fact, you have measured a true meter. Otherwise, a meter might be different for everyone who measures it. The surprise is that, even with a "reference" meter, no two meters are measured to precisely the same length because accuracy is dependent both upon the limit of resolution of the measuring device and upon the one doing the measuring.

So, is there a reference that we can use no matter what the measurement in question is? Truth is that the only reference we have that never changes is Infinity, and Infinity cannot be measured. Infinity is the Reference because Infinity is the essence of Reality. All other "references" are arbitrary dimensionals along whatever whole dimension the measurement is made.

Recognizing the need for a reference, scientists have sought reliable standards to be used as reference measurements. The ideal, or most reliable, standard would be a finite absolute measurement that never changes; no such measurement exists, so scientists have settled for standards that rarely change rather than one that never changes. However, choosing any measurement greater than zero, yet less than Infinity is, in truth, an arbitrary choice. Infinity, while Absolute, is not a measurable quantity so is not recognized as a standard for finite measurements.

But Infinity is the only true (absolute) Reference, so what does this mean in terms of standards and measurements? What this means is that any measurable quantity, when compared to Infinity, is so small that a true (absolute) measure cannot be assigned to it, only a symbolic or relative one. Furthermore, any measure which, by definition, is a limit, cannot have any meaning unless compared to another limit. Thus, the true meaning of measurements is relative, not absolute.

This also means that everything that has a measure assigned to it meets the definition of infinitesimal when compared to the true Reference, Infinity. Thus, the quality of the infinitesimal, rather than being of mere esoteric interest to mathematicians, is of vital importance in understanding Reality.

But what of numbers, such as 2, 11, or 1028? While the conventional understanding of numbers is that they can be arranged in a series such that at one end you have the smallest and at the other end you have the largest, this concept can be true only in a relative sense, as in the comparison of one finite quantity to another finite quantity. In terms of Reality, all finite numbers are divisive. What this means is that 2 symbolizes the 1 divided into two parts, each of which is smaller than the 1, and 11 symbolizes the 1 divided into 11 parts. Contrast this with the conventional understanding that 2 is "twice as many" as 1, and 11 is "eleven times as many" as 1. The observation that 2 is "twice as many" as 1, for example, is a comparison between two fractions of the One, and that is what yields the illusion of "greater" and "lesser". This is easier to grasp if you consider that "2" and "1" are actually 2 ⁄