Pythagoras may have been the first to recognize that a complete system of mathematics could be constructed using geometric elements corresponding to numbers.
By introducing deductive reasoning and mathematical rigor in proofs, the Greeks refined analytical methods. Rigor was defined as thoroughness and attention to detail in order to improve accuracy.
Proofs established the formalized structure of analytical methods. The suitability of mathematics to analytical methods was critical.
Thus, Pythagoras may have been the first to recognize
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