In the discussion of signed integers, it was noted that the nature of arithmetic involved in their use was fundamentally different than arithmetic performed with natural numbers. This fact is a result of a deeper distinction between these numbering systems. A natural number is not
The natural numbers (the non-negative integers) are abstractions of the additive combinations of units. The number 10 is an abstraction of the set of all sets of that number of units. (This definition is similar to that given by Bertrand Russell). In the consideration of
The fundamental axiom of mathematics is as simple to state as the fundamental axiom of Objectivist philosophy: 1=1 (Source: Ron Pisaturo) What is meant by thissimple statement is that the unit measure of any class of entity, quality, or relationship is invariant across the domain