Number 674-672 Pencil

Question: Does infinite number of correct interpretations equate to no wrong interpretations?

No, I think not. To use the pencil example from class, a number 2 pencil can be described in an infinite number of ways. It can be described as a number 1+1 pencil, 0+2 pencil, -1+3 pencil, -N+|-N-2| pencil, 3-1 pencil, 4-2 pencil, N-(N-2) pencil ad infinitum. There are an infinite number of numbers and therefore, and infinite number of ways to describe the pencil in that sense. This does not, however, mean that there are no wrong ways to describe the number two pencil. The description number 0+3 pencil is not a correct way to describe the number two pencil because 0 + 3 is not two. Since this description of the pencil does not accurately describe the pencil, and because it contradicts the information on the pencil, we must conclude that this interpretation is wrong. In addition to all this, though number 2 pencil and number 500-498 pencil are both acceptable descriptions, one of them is easier to understand and communicate. The pencil does, in fact, say that it is a number two pencil, not 500-498 pencil.