What is the axiomatic method?
Unfortunately, the axiomatic method it is not broadly known. The method is very simple and it always follows these steps:
- Assert the truth of a couple of statements (and call them axioms or postulates).
- Add the postulates to a list (and call that list theory).
- Given all statements in your theory, logically derive new statements which are true (and call them propositions or theorems).
- Add the newly derived theorems to your theory.
- Continue with step 2.
This method is as simple as – like a snowball – very powerful! It allows constructing complex theories from easy to understand basic axioms. The rules of logic ensure the truth of every single theorem in your theory.
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