What is the role of deductive demonstration in Greek mathematics? The establishment of evident propositions as a basis for the need of a deductive...
What is the role of deductive demonstration in Greek mathematics?
The establishment of evident propositions as a basis for the need of a deductive argument was a procedure developed in the Academy, probably exposed in Aristotle's Analytica Posterior 2 and 10.
The deductive demonstration appears as the most decisive instrument of scientific progress in mathematics.
The practical mathematics were widely used before the Greeks, but the novelty of the Greek mathematicians was the demonstration of such practical formulas.
The establishment of evident propositions as a basis for the need of a deductive argument was a procedure developed in the Academy, probably exposed in Aristotle's Analytica Posterior 2 and 10.
The deductive demonstration appears as the most decisive instrument of scientific progress in mathematics.
The practical mathematics were widely used before the Greeks, but the novelty of the Greek mathematicians was the demonstration of such practical formulas.
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Ed 
O papel da demonstração dedutiva na matemática grega era estabelecer proposições evidentes como base para a necessidade de um argumento dedutivo. Essa abordagem foi desenvolvida na Academia e provavelmente exposta nos livros "Analytica Posteriora" de Aristóteles, nos capítulos 2 e 10. A demonstração dedutiva era considerada o instrumento mais decisivo para o progresso científico na matemática. Os matemáticos gregos trouxeram uma novidade ao demonstrar fórmulas práticas que já eram amplamente utilizadas, mas não demonstradas, em outras culturas.
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