Abstract
The first two of the articles reprinted in this chapter represent the predominant approach to the pre-Euclidean mathematics up to the 1960s. The latter two are more recent reflexions and criticisms to this research style.
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Knorr, however, proposes another definition of proportion, based on an attentive analysis of Archimedes’ argument, in his “Archimedes and the pre-Euclidean Proportion Theory,” Archives internationales d’histoire des sciences 28(1978): 183–244, which is not reprinted here simply because it is too long. See also my “Phantom Theories of pre-Eudoxean Proportion,” Science in Context 16(2003): 331–347.
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Saito, K. (2004). Introduction. In: Christianidis, J. (eds) Classics in the History of Greek Mathematics. Boston Studies in the Philosophy of Science, vol 240. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2640-9_9
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DOI: https://doi.org/10.1007/978-1-4020-2640-9_9
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