Section 2.2: Axiomatic Systems. Math 333 – Euclidean and Non-Euclidean Geometry Dr. Hamblin. What is an Axiomatic System?. An axiomatic system is a list of undefined terms together with a list of axioms. A theorem is any statement that can be proved from the axioms.
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Math 333 – Euclidean and Non-Euclidean Geometry
Finding a model where Axioms 2-4 are true and Axiom 1 is false shows that the if-then statement is false!