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7079What is the axiomatic method?

Unfortunately, the axiomatic method it is not broadly known. The method is very simple and it always follows these steps:

  1. Assert the truth of a couple of statements (and call them axioms or postulates).
  2. Add the postulates to a list (and call that list theory).
  3. Given all statements in your theory, logically derive new statements which are true (and call them propositions or theorems).
  4. Add the newly derived theorems to your theory.
  5. 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.

| | | | Contributors: bookofproofs


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