Abstract
This chapter examines the use of reference and analysis in the study of astronomical systems from Newton to the present day. I begin by noting that Bas van Fraassen pays more attention to theoretical models that do the work of analysis, while Nancy Cartwright and Margaret Morrisson pay more attention to models where the relevant relation is not satisfaction (as between a meta-language and an object-language), but representation (as between a discursive entity and a thing that exists independent of discourse). I then track the use of both kinds of models in Newton’s Principia, Books I and III, and find strategies of juxtaposition, superposition, and unification. In the era after Newton, problems of analysis were addressed by Euler, Lagrange, Laplace and Hamilton, while problems of reference came to the fore in the empirical work of Herschel and Rosse. The tension between reference and analysis also appears in the debates between Hubble and Zwicky, and in the work of Vera Rubin.
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References
Cassirer, E. (1923/1953). Substance and function and Einstein’s theory of relativity (W. C. Swabey & M. C. Swabey, Trans.). Chicago: Open Court.
Chemla, K., & Shuchun, G. (Trans.). (2004). Les neuf chapitres: le classique mathématique de la Chine ancienne et ses commentaires. Paris: Dunod.
Cohen, I. B. (1971). Introduction to Newton’s Principia. Cambridge, MA: Harvard University Press.
Cook, A. H. (1998). Edmond Halley: Charting the Heavens and the Seas. Oxford: Oxford University Press.
Diacu, F., & Holmes, P. (1996). Celestial encounters: the origins of chaos and stability. Princeton: Princeton University Press.
Fraser, C. (2000). Hamilton-Jacobi methods and Weierstrassian field theory in the calculus of variations. In E. Grosholz & H. Breger (Eds.), The growth of mathematical knowledge (pp. 93–101). Dordrecht: Kluwer.
Grosholz, E. (1987). Some uses of proportion in Newton’s Principia, Book I. Studies in History and Philosophy of Science, 18(2), 209–220.
Hendry, R. (2001). Mathematics, representation, and molecular structure. In U. Klein (Ed.), Tools and modes of representation in the laboratory sciences (pp. 221–236). Dordrecht: Kluwer.
Hubble, E. (1982/2013). The realm of nebulae. New Haven: Yale University Press.
Leech, J. W. (1958). Classical mechanics. London: Methuen.
Liddle, A., & Loveday, J. (2008). Oxford companion to cosmology. Oxford: Oxford University Press.
Nasim, O. W. (2010). Observation, working images and procedures: The ‘Great Spiral’ in Lord Rosse’s astronomical records and beyond. British Journal for History of Science, 43(3), 353–389.
Newton, I. (1999). The Principia: Mathematical principles of natural philosophy (I. B. Cohen, A. Whitman, & J. Budenz, Trans.). Berkeley: University of California Press.
Rubin, V., & Ford, W. K. (1970). Rotation of the andromeda nebula from a spectroscopic survey of emission regions. The Astrophysical Journal, 159, 379–403.
Rubin, V., Ford, W. K., & Thonnard, N. (1980). Rotational properties of 21 Sc galaxies with a large range of luminosities and radii, from NGC 4605 (R = 4 kpc) to UCG 2885 (R = 122 kpc). The Astrophysical Journal, 238, 471–487.
Sanders, R. H. (2010). The dark matter problem: An historical perspective. Cambridge: Cambridge University Press.
Sylla, E. (1984). Compounding ratios. In E. Mendelsohn (Ed.), Transformation and tradition in the sciences (pp. 11–43). Cambridge: Cambridge University Press.
Voelkel, J. (2001). Johannes Kepler and the new astronomy. Oxford: Oxford University Press.
Wilson, R. N. (2014). Reflecting telescope optics I: Basic design theory and its historical development. New York: Springer.
Zwicky, F. (1937). On the masses of nebulae and of clusters of nebulae. The Astrophysical Journal, 86(3), 217–246.
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Grosholz, E.R. (2016). Analysis and Reference in the Study of Astronomical Systems. In: Starry Reckoning: Reference and Analysis in Mathematics and Cosmology. Studies in Applied Philosophy, Epistemology and Rational Ethics, vol 30. Springer, Cham. https://doi.org/10.1007/978-3-319-46690-3_8
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