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The language of the ``Givens: its forms and its use as a deductive tool in Greek mathematics

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Publication:532570
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DOI10.1007/s00407-010-0072-zzbMath1217.01004OpenAlexW1981302310MaRDI QIDQ532570

Fabio Acerbi

Publication date: 5 May 2011

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-010-0072-z



Mathematics Subject Classification ID

History of Greek and Roman mathematics (01A20)


Related Items (4)

Operationalism: an interpretation of the philosophy of ancient Greek geometry ⋮ The concept of \textit{given} in Greek mathematics ⋮ Uses of construction in problems and theorems in Euclid's \textit{Elements} I--VI ⋮ Naṣīr al-Dīn al-Tūsī's comments on Euclid's \textit{Data}



Cites Work

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  • Arabic traces of lost works of Apollonius
  • Textual note on (problem of) geometric locus in the \textit{Meteorologica} of Aristotle (III. 5, 375 b 16 -- 376 b 22)
  • Two Approaches to Foundations in Greek Mathematics: Apollonius and Geminus
  • A History of Ancient Mathematical Astronomy




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