The Source of the Peano Axioms
Kees Beukering · 2009
The aim of this paper is to improve the conception of the natural numbers which is represented by the Peano axioms by introducing a non-arithmetical axiom. This way it can be demonstrated that if Ockham's razor is a correct principle then the terms 'zero', 'number' and 'immediate successor of' all spring from the same source. The multiplication of this source into three separate terms is upheld by the formal language but unnecessary for the clear mind.