  The concept of number is fundamental to the formulation of any physical
theory. We give a heuristic motivation for the reformulation of Quantum
Mechanics in terms of non-standard real numbers called Quantum Real Numbers.
The standard axioms of quantum mechanics are re-interpreted. Our aim is to show
that, when formulated in the language of quantum real numbers, the laws of
quantum mechanics appear more natural, less counterintuitive than when they are
presented in terms of standard numbers.
