Let's deconstruct it differently. Using round numbers, 2.2 + 2.2 = 4.4, and rounded, that becomes 2 + 2 = 4. But 2.3 + 2.3 = 4.6, which, rounded, becomes 2 + 2 = 5. If you assume that practical entities are, at some level, rounded -- in other words a glass of water = 1 glass to a certain margin of variation or standard deviation -- then the concept of a distinct mathematical value is moot. 

Let's use a scientific example -- temperature. If you measure a surface temperature of 30-degrees Celsius, what's actually happening? You're detecting a certain amount of thermal energy, submolecular interactions between minute particles. In no instance is 30* [i]actually[/i] 30*. The specific subatomic activity that creates energy is in a constant state of flux, and the assigned value is simply an approximation. The integer '30' is an imaginary simplification, and over time, the remainder of that simplification becomes tangible.