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. 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. 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.