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Pythagoras und die Pythagoreer

In: Die antike Mathematik

Author

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  • Dietmar Herrmann

    (FH München)

Abstract

Zusammenfassung Obwohl eine der (indischen) Sulbasutra-Schriften (800–600 v. Chr.) bereits den Satz des Pythagoras in Wortform (ohne Beweis) erwähnt, ist es sehr wohl möglich, dass Pythagoras den Satz unabhängig davon entdeckt hat. Da von ihm keinerlei Schriften bekannt sind und seine Schüler das Bestreben hatten, auch später Entdecktes dem Meister zuzuschreiben, ist es nicht möglich zwischen dem Wissen Pythagoras‘ und dem seiner Schüler, Pythagoreer genannt, zu unterscheiden. Das Kapitel behandelt daher das Wissen der Pythagoreer: Figurierte Zahlen, pythagoreische Tripel, die Musiktheorie und die Mittelwerte. Eine neuere Tendenz der Mathematikhistorie ist es, eine Vielzahl der als pythagoreisch überlieferten Erkenntnisse als spätplatonisch nachzuweisen.

Suggested Citation

  • Dietmar Herrmann, 2024. "Pythagoras und die Pythagoreer," Springer Books, in: Die antike Mathematik, edition 3, chapter 0, pages 43-71, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-68478-8_4
    DOI: 10.1007/978-3-662-68478-8_4
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