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The Origin of Quantification

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DOI: 10.4236/ojpp.2013.34A002    4,541 Downloads   5,679 Views  


Neither the Greek nor the Alexandrian nor the early Arabic philosopher/scientists ever developed a mathematical representation of qualities, a prerequisite for a mathematical physics. By the early seventeenth century the quantification of qualities was a common practice. This article traces the way this practice developed. It originated with a medievally theological problem and was developed by philosophical logicians who did not have mathematical physics as a goal. The verbal algebra they developed was given a mathematical formulation in the late fifteenth century. This was subsequently assimilated into a neo-Platonic revival that stressed mathematical forms. The quantification of qualities developed in physics supplied the paradigm for quantification in other fields.

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The authors declare no conflicts of interest.

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MacKinnon, E. (2013). The Origin of Quantification. Open Journal of Philosophy, 3, 6-9. doi: 10.4236/ojpp.2013.34A002.


[1] Bruce, V., Young, A., & Chevalley, C. (1993). Physics as an Art. Aesthetics in Science (pp. 1-20). Baltimore: Johns Hopkins University Press.
[2] Clagett, M. (1959). The science of mechanics in the middle ages. Madison: University of Wisconsin Press.
[3] (1966). Nicole Oresme and the Medieval Geometry of Qualities and Motions. Madison: University of Wisconsin Press.
[4] Drake, S., & Drabkin, I. E. (1969). Mechanics in sixteenth-century Italy: Selections from Tartaglia. Madison: University of Wisconsin Press.
[5] Frye, R. M. (1981). Ways of seeing, or epistemology in the arts: Unities and disunities in Shakesperean Drama and Elizabethan Painting (pp. 41-73). Meeting Papers, 5 June 1980. The American Philosophical Society.
[6] Galilei, G., Ed. (1953). Dialogue on the Great World Systems, trans. Salisbury. Chicago: University of Chicago Press.
[7] Koestler, A., Ed. (1960). The watershed: A biography of Johannes Kepler. Garden City, New York: Doubleday Anchor.
[8] Lindberg, D. (1987). Science as Handmaiden: Roger Bacon and the Patristic Tradition. Isis, 87, 518-536.
[9] (1992). The beginnings of western science. Chicago: University of Chicago Press.
[10] MacKinnon, E. (2011). Interpreting physics: Language and the classical/quantum divide. Amsterdam: Springer.
[11] Mahoney, M. S. (1987). Mathematics. In J. R. Strayer (ed.), Dictionary of the Middle Ages (pp. 205-222). New York: Charles Scribner’s Sons.
[12] Wallace, W. A. (1981). Prelude to galileo. Boston: Reidel.

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