Analogy of Physical Phenomena

Mathematicians continue to struggle with the two entities "0" and "oo," whose full meanings and consequences continue to mystify (Ketata et al. 2006a, 2006b). However, these two entities are most important when intangible issues are counted, as the following simple analogy from well-known physical phenomena (Figure 4.12) can demonstrate. As "size," i.e., space occupied (surface area or volume) per unit mass, goes down, the quantity of such forms of matter goes up. This quantity approaches infinity as space occupied per unit mass heads towards zero. However, according to the Law of Conservation of Mass and Energy, mass can neither be created nor destroyed and it only can transform from one form to another form. This contradiction was resolved in the early 20,h century when it was proven that as mass decreased, its quantity could increase as particles of mass were converted into quanta of energy.

Infinity means that a quantity is too large to count exactly, but that it enjoys practical existence. Conventionally, zero on the other hand denotes non-existence, posing another paradox that is nonetheless removable when the intangible aspect is considered. Something that is infinite in number is present everywhere but has no size. As Figure 4.13 shows, mass turns into the energy at the end and loses

Planet

Size/Mass

Figure 4.12 Relation of size/mass to number.

Planet

Size/Mass

Figure 4.12 Relation of size/mass to number.

"size" — a transition of the tangible into the intangible. This also signifies that the number of intangibles is much more than that of tangibles. We can measure the tangible properties, but it is difficult to measure the intangible. Yet, inability to measure the intangible hardly demonstrates non-existence. Happiness, sorrow, etc., are all clearly intangible, and they possess no tangible properties whatsoever, no matter how tangible their causes. As Figure 4.12 suggests, the scale of the intangible is potentially far more consequential than that of the tangible.

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