Analysis and Reference in the Study of Astronomical Systems

Chapter
First Online:
Part of the Studies in Applied Philosophy, Epistemology and Rational Ethics book series (SAPERE, volume 30)

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.

Keywords

Dark Matter Solar System Rotation Curve Galaxy Cluster Virial Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. Cassirer, E. (1923/1953). Substance and function and Einstein’s theory of relativity (W. C. Swabey & M. C. Swabey, Trans.). Chicago: Open Court.Google Scholar
  2. Chemla, K., & Shuchun, G. (Trans.). (2004). Les neuf chapitres: le classique mathématique de la Chine ancienne et ses commentaires. Paris: Dunod.Google Scholar
  3. Cohen, I. B. (1971). Introduction to Newton’s Principia. Cambridge, MA: Harvard University Press.CrossRefGoogle Scholar
  4. Cook, A. H. (1998). Edmond Halley: Charting the Heavens and the Seas. Oxford: Oxford University Press.Google Scholar
  5. Diacu, F., & Holmes, P. (1996). Celestial encounters: the origins of chaos and stability. Princeton: Princeton University Press.Google Scholar
  6. 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.Google Scholar
  7. Grosholz, E. (1987). Some uses of proportion in Newton’s Principia, Book I. Studies in History and Philosophy of Science, 18(2), 209–220.CrossRefGoogle Scholar
  8. 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.Google Scholar
  9. Hubble, E. (1982/2013). The realm of nebulae. New Haven: Yale University Press.Google Scholar
  10. Leech, J. W. (1958). Classical mechanics. London: Methuen.Google Scholar
  11. Liddle, A., & Loveday, J. (2008). Oxford companion to cosmology. Oxford: Oxford University Press.CrossRefGoogle Scholar
  12. 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.CrossRefGoogle Scholar
  13. Newton, I. (1999). The Principia: Mathematical principles of natural philosophy (I. B. Cohen, A. Whitman, & J. Budenz, Trans.). Berkeley: University of California Press.Google Scholar
  14. Rubin, V., & Ford, W. K. (1970). Rotation of the andromeda nebula from a spectroscopic survey of emission regions. The Astrophysical Journal, 159, 379–403.CrossRefGoogle Scholar
  15. 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.CrossRefGoogle Scholar
  16. Sanders, R. H. (2010). The dark matter problem: An historical perspective. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  17. Sylla, E. (1984). Compounding ratios. In E. Mendelsohn (Ed.), Transformation and tradition in the sciences (pp. 11–43). Cambridge: Cambridge University Press.Google Scholar
  18. Voelkel, J. (2001). Johannes Kepler and the new astronomy. Oxford: Oxford University Press.Google Scholar
  19. Wilson, R. N. (2014). Reflecting telescope optics I: Basic design theory and its historical development. New York: Springer.Google Scholar
  20. Zwicky, F. (1937). On the masses of nebulae and of clusters of nebulae. The Astrophysical Journal, 86(3), 217–246.CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.Department of PhilosophyThe Pennsylvania State UniversityUniversity ParkUSA

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