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.

中文翻译：

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希腊数学中没有后遗症

该论文表明，与自 16 世纪数学家克里斯托夫·克拉维乌斯 (Christoph Clavius) 以来的观点相反，在希腊数学著作中没有应用奇异果 (CM)。这通过对据称使用 CM 的证明的逻辑结构的详细讨论来显示。这一点进一步扩大到对许多解释者在寻找古代数学文本中起作用的特定逻辑规则时所应用的不健全方法的批判性评估。