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He set out geometry in a axiomatic way. He put forward eight axioms which , to him, were self-evident statements and then started to prove theorems and propositions from these axioms using logic.

It was not until many centuries later that mathematicians questioned the self-evident truth of his parallel postulate and developed non-Euclidean geometries. However, his approach to systematic development of mathematics using logic and a small number of axioms is now a fundamental aspect of mathematical theories.

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12y ago

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