Write your personal reflection about illustrating the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular. Explain how this topic applies in daily life experience.
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Answer:
for every theorem in math, there exists an axiomatic system that contains all the axioms needed to prove that theorem.
Step-by-step explanation:
Defined, an axiomatic system is a set of axioms used to derive theorems. What this means is that for every theorem in math, there exists an axiomatic system that contains all the axioms needed to prove that theorem. An axiom is a statement that is considered true and does not require a proof.
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Answer:
In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.