There is no consequentia mirabilis in Greek mathematics

Archive for History of Exact Sciences 73 (3):217-242 (2019)
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Abstract

The paper shows that, contrary to what has been held since the sixteenth-century mathematician Christoph Clavius, there is no application of consequentia mirabilis (CM) in Greek mathematical works. This is shown by means of a detailed discussion of the logical structure of the proofs where CM is allegedly employed. The point is further enlarged to a critical assessment of the unsound methodology applied by many interpreters in seeking for specific logical rules at work in ancient mathematical texts.

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10.1007/s00407-019-00223-1

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References found in this work

Logical Form and Logical Matter.Jonathan Barnes - 1990 - In Antonina Alberti (ed.), Logica, Mente e Persona: Studi sulla filosofia antica. Florence: Leo S. Olschki. pp. 7-119.
Truth, Etc. Six Lectures on Ancient Logic.Jonathan Barnes - 2007 - Oxford, England: Oxford University Press UK.

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