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From Categories to Quantitative Concepts

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Interpreting Physics

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 289))

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Abstract

This chapter analyzes the changes in linguistic usage and extended terminology that preceded and enabled the developments of classical Greek philosophy and the Scientific Revolution. Classical explanations of human activities in terms of nature and of natural processes in terms of an inner necessity emerged from a protracted process of demythologizing earlier mythological accounts. Aristotle’s Categories made individual objects the subjects of scientific investigation and so initiated the language of physics. Later scientific advances by Alexandrian and Arabic philosophers never treated a quantitative account of properties. This emerged from detheologizing medieval accounts of the quantity of a quality. It culminated in the scientific terminology of Newtonian physics.

Just as geographers crowd on to the outer edges of their maps the parts of the earth which elude their knowledge, with explanatory notes that “What lies beyond is sandy desert without water and full of wild beasts”, or “blind marsh”, or “Scythian cold”, or “frozen sea”, so in the writing of my Parallel Lives, now that I have traversed those periods of time which are accessible to probable reasoning and which afford a basis for a history dealing with facts, I might well say of the earlier periods: “What lies beyond is full of marvels and unreality, a land of poets and fabulists, of doubt and obscurity”.

Plutarch, Life of Theseus

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Notes

  1. 1.

    See Levi-Strauss (1962, 1966, 1969). For a critical appraisal, see Leach (1974).

  2. 2.

    This summary is from Campbell (1959–1968, Vol. I, pp. 518–523, Vol. IV, pp. 609–624).

  3. 3.

    Kirk (1970, p. 250). Kirk and Raven (1962, chap. 1).

  4. 4.

    This interpretation of Euripides draws heavily on Conacher (1967) and also on Segal (1986).

  5. 5.

    The best source for this extension of classical Greek language through metaphor remains Snell (1960).

  6. 6.

    Jaeger and Robinson (1934, chap. 6, and p. 321) for the citation. For an evaluation of Jaeger’s reconstruction see Grene (1963, chap. 1).

  7. 7.

    I am also relying on Sellars’ article, “Aristotle’s Metaphysics: An Interpretation” (in Sellars 1967, Vol. 1) and, with considerable reservations, on Anscombe and Geach (1961, chap. 1).

  8. 8.

    This is not a simple whiggish criticism. Stoic logicians, extending Aristotle’s work, were aware of semantic problems and made a distinction between: the signified (what is said), signifying, and the thing itself.

  9. 9.

    The role of physics in Aristotle’s system of the world is treated in Solmsen (1960). The biological orientation of Aristotle’s thought is emphasized in Grene (1963) and also, in a form that is perhaps too functional, in Randall (1960).

  10. 10.

    In this summary I am relying on Boyer (1968, chaps. 5–11) and Kline (1972, chaps. 2–8).

  11. 11.

    There are many more numbers with this property, e.g. 28, 496, 8218.

  12. 12.

    This is taken from Harré (1961, pp. 11–14).

  13. 13.

    For general surveys of the development of science in this period see Crombie (1959) and Lindberg (1992). For the embedding of science in a theological perspective see Lindberg (1987).

  14. 14.

    The Citation is from Bochenski (1961, p. 183). The doctrine briefly summarized is taken from Aquinas’s De Veritate.

  15. 15.

    This hermeneutic principle is developed in Maimonides (1963) Guide for the Perplexed, Part I, chap. xxxiii, and in Aquinas’s Summa Theologiae, I, q. 68, a. 2.

  16. 16.

    An excellent brief summary is given in Lindberg (1992, chap. 12). More detailed treatments are given in Clagett (1959), Crombie (1959, Vol. 2, sect. I), Dijksterhuis (1961[1950], pp. 126–222).

  17. 17.

    Most general histories of mathematics have little on this. Kline (1972) devotes a chapter 10 to this problem, but gives a rather whiggish account. A good survey, which I rely on here, is Mahoney (1987).

  18. 18.

    The scattered texts in which Galileo uses this distinction are collected in Burtt (1954, pp. 75–78).

  19. 19.

    This brief summary is based on two articles, Frye (1981) and Chevalley (1993). Drake and Drabkin claim that there is no evidence to support Duhem’s claim that da Vinci’s notoriously difficult writings had an influence on the development of mechanics.

  20. 20.

    His brief analysis is in his Collected Papers (Peirce et al. 1931, Vol. I, pp. 28–31). Hanson (1961, pp. 72–86) extended Pierce’s analysis and in Hanson et al. (1972, pp. 249–273) developed an account of cross-type inferences. The historical details of Kepler’s development are summarized in Casper (1962, pp. 128–147).

  21. 21.

    I am omitting the more familiar aspects of Newton’s thought and its immediate background. A detailed treatment of this may be found in Cohen (1971) or Westfall (1980).

  22. 22.

    Harry Frankfurt (1977) interprets Descartes as holding that the truths we take as intuitively evident, such as the laws of logic, are those God wills us to hold, not those that are necessarily true.

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Mackinnon, E. (2012). From Categories to Quantitative Concepts. In: Interpreting Physics. Boston Studies in the Philosophy of Science, vol 289. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2369-6_2

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