Infinity

Infinity stands for value without limit. This means that no value that can be put forth, however large, will ever be equal in value to infinity. There is then the question as to if a number larger than a second number is closer to infinity than the second number. How would we answer this question? That is, how can you get closer to something that you can never reach? Let us examine this situation more closely.

Finite numbers possess value. Value could be said to directly correspond to the size of a number. Value implies measurement. Measurement, by definition, is the documentation of a number's size. Measurement is the 'fencing in' of the value of a number. All values that can be measured are therefore definable values. Infinity, because it is not finite, is not definable.

This puts into consideration the notion that infinity is "large". That is, the classic definition of infinity is that it is a value that is so large, no effort should be put towards defining it. Large implies size. Size implies measurement. 'Large' is a word that applies to finite numbers. It would then appear that thinking of infinity as being 'large' would be saying that it could be measured. Infinity, however, being immeasurable, cannot be engaged in the process of comparison. Comparison involves value - something that infinity does not have.

The terms 'infinite' distance and 'infinite' period of time are examples of such a comparison: a 'distance' and a 'period of time', by very definition, refer to what are documented, measurable units. In effect, the terms 'infinite distance' and 'infinite period of time' are meaningless. Both a distance and a period of time must have a size in order to exist. Size implies value - something that infinity does not possess.

We must come to terms, then, that infinity is neither small nor large: to inquire as to the 'length' or 'size' of infinity is to ask a meaningless question. 'Infinity' is not measurable. Infinity, then, for what it's worth, should be thought of as being beyond value.