Infinity
There's a facet of reality which doesn't lend itself to rational analysis - it's called 'infinity'.
Infinity is an attribute of nature which absolutely defies logical interpretation. It's not exempt from the laws of nature and it's not contrary to reason, but it lies beyond the domain of logic because it's not defined - and logic requires definition.
There is a finite distance between every two points in the Universe, but there is no point - however distant - where the Universe ends. Some mistakenly believe that if there is a finite distance between every pair of points then the furthest point in the cosmos must be a finite distance away. What they don't understand is that just defining two points sways the realm of their consideration from the infinite back to the finite. When dealing with infinity, there is no 'furthest' and there is no 'all' - and the fact that no defined point of infinity exists serves only to further validate the concept.
The old 'balloon' ploy is often put forth as a three-dimensional example of cosmic expansion in a four-dimensional configuration. Stroking the ego of the unwary layman for his ability to understand a hypothetical abstraction, pundits propose this as an example of how the Universe is finite but unbounded. The scholarly sleight of hand to which theorists occasionally descend is, indeed, amazing. Three independent values (XYZ coordinates) are all that is necessary to uniquely specify any point of existence within the Universe - hence there are said to be three 'dimensions' (more accurately, three axes). If anyone wishes me to believe there are more than three dimensions, then prove to me that there are locations in the cosmos which cannot be specified within those coordinates. And if the Universe were finite, then for any given point there must exist another point within a finite distance at which travel in any direction will not increase the distance between the two. If someone wants me to believe the universe is finite, then all they have to do is simply convince me that the value of at least one of the XYZ coordinates has a limit.
"Beware and sail ye not too far into space lest thou fallest from the edge."
Nothing vs Infinity
Reality is usually measured and described within the parameters of three basic criteria - quality, quantity and location (dimensional position and configuration). Quantitatively there is a negative equivalent for every positive value. Dimensionally there is an opposite for every vector. If each of the fundamental building blocks of the Universe is composed of reciprocally balanced sets of qualities and anti-qualities, then within the finite world the equivalent of Nothing exists. But in the very real and not so 'relative' domain of infinity, true Nothing exists - all in one place at the same time.
(3) Using any given point in space as the point of origin for an X,Y,Z axis, one may theoretically extend equidistant lines to infinity throughout the spectrum of three-dimensional coordinates. The procedure inscribes a sphere which theoretically encompasses the Universe. By definition, the selected point is the center of that sphere - and the center of the Universe. Since the same can be done for all points in the Universe, every point in the cosmos is its center.
(2) Consider the fractions 1/2 and 1/999 999,999,999,999,999 . As the denominator of a fraction increases, its value decreases. Though infinity is undefined and cannot be represented by a value, it is obvious that if the numerator of a fraction is finite, then regardless how large that numerator may be, the ratio of any finite quantity compared to infinity is Ø.
(1) If every quality has a reciprocal, then the sum of the qualities in the Universe has a 'null' value.
From the point of view of infinity, nothing exists (1), has no size (2) and no relative location (3). It is the only perspective from which quantitative, qualitative and dimensional values truly vanish to ZERO (Ø).
Continue
|