Strategies for conceptual change: Ratio and proportion in classical Greek mathematics


Authors
Paul Rusnock
University of Ottawa
Paul Thagard
University of Waterloo
Abstract
…all men begin… by wondering that things are as they are…as they do about…the incommensurability of the diagonal of the square with the side; for it seems wonderful to all who have not yet seen the reason, that there is a thing which cannot be measured even by the smallest unit. But we must end in the contrary and, according to the proverb, the better state, as is the case in these instances too when men learn the cause; for there is nothing which would surprise a geometer so much as if the diagonal turned out to be commensurable.
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DOI 10.1016/0039-3681(94)00034-7
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References found in this work BETA

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - University of Chicago Press.
Greek Mathematical Thought and the Origin of Algebra.Jacob Klein, Eva Brann & J. Winfree Smith - 1969 - British Journal for the Philosophy of Science 20 (4):374-375.
Cognitive Models of Science.R. Giere & H. Feigl (eds.) - 1992 - University of Minnesota Press.

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