Given nothing, where to begin? If you are familiar with Descartes, you may be thinking along the lines of “Cogito, ergo sum” – ‘I think therefore I am’ – but that uses an assumption we have yet to make: that there is a difference between one thing and another. This is important, as if there is no such difference, then while it would be correct to establish existence, there would be no meaning to it. That is, there would be no contrast between existence and non-existence.
As such, I would first propose:
- Axiom¹ 1: A thing cannot also be it’s negation.
This proposal, a form of the principle of non-contradiction will form the basis of the rest of this series, unless proven false or unusable.
¹Definitions are here.