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Looking for Those Natural Numbers: Dimensionless Constants and the Idea of Natural Measurement1

  • Philip Mirowski (a1)

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This paper was inspired by some remarks by Martin Klein during his lectures at Yale on the history of early twentieth-century physics; but he cannot be held responsible for my interpretations. I also thank Ted Porter for his help with the philosophical issues.

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Barrow, J., and Tippler., F. 1986. The Anthropic Cosmological Principle. Oxford: Oxford University Press.
Beller, Mara. 1988. “Experimental Accuracy, Operationalism, and the Limits of Knowledge.” Science in Context 2:147–62.
Bloor, David. 1982. “Durkheim and Mauss Revisited: Classification and the Sociology of Knowledge.” Studies in the History and Philosophy of Science 13:267–97.
Bridgman, Percy. 1931. Dimensional Analysis, 2nd. ed. New Haven, Conn..: Yale University Press.
Buckingham, E. 1914. “On Physically Similar Systems.” Physical Reviews 4:347–76.
Cahan, David. 1989. An Institute for an Empire. New York: Cambridge University Press.
Campbell, Norman. 1924. “Ultimate Rational Units.” Philosophical Magazine 47:159–72.
Campbell, Norman. [1920] 1957. Foundations of Science. New York: Dover.
Carr, B., and Rees., M. 1979. “The Anthropic Principle and the Structure of the Physical World.” Nature 278:605–12.
Causey, Robert. 1969. “Derived Measurement, Dimensions, and Dimensional Analysis.” Philosophy of Science 36:252–70.
Chandrasekhar, S. 1937. “The Cosmological Constants.” Nature 139:757–78.
Cochrane, Rexmond. 1966. Measures for Progress. Washington, D.C.: National Bureau of Standards.
Cohen, E., Crowe, K., and Dumond., J. 1957. The Fundamental Constants of Physics. New York: Interscience Publishers.
De Finetti, Bruno. 1974. Theory of Probability. New York: Wiley.
Deutsch, David. 1986. “On Wheelers' Notion of Law without Law in Physics.” Foundations of Physics 16:565–73.
Dirac, Paul. 1937. “The Cosmological Constants.” Nature 139:323.
Douglas, Mary. 1986. How Institutions Think. Syracuse, N.Y.: Syracuse University Press.
Durbin, John. 1985. Modern Algebra, 2nd ed. New York: Wiley.
Eddington, Arthur. 1930. The Nature of the Physical World. London: Macmillan.
Eddington, Arthur. 1935. New Pathways in Science. Cambridge: Cambridge University Press.
Eddington, Arthur. 1936. Relativity Theory of Protons and Electrons. Cambridge: Cambridge University Press.
Eddington, Arthur. 1939. Philosophy of Physical Science. Cambridge: Cambridge University Press.
Eddington, Arthur. 1941. “Group Structure in Physical Science.” Mind 50:268–79.
Einstein, Albert. 1911. “Elementare Betrachtungen über die thermische Molekularbewegungen in festen Körpern.” Annalen der Physik 35:679–94.
Fourier, Joseph. 1878. The Analytical Theory of Heat. Cambridge: Cambridge University Press.
Frieden, B. R. 1986. “A Probability Law for Fundamental Constants.” Foundations of Physics 16:883903.
Galison, Peter. 1987. How Experiments End. Chicago: University of Chicago Press.
Guggenheim, E. 1942. “Units and Dimensions.” Philosophical Magazine 33:479–96.
Hacking, Ian. 1983. Representing and Intervening. New York: Cambridge University Press.
Halsey, Frederick. 1920. The Metric Fallacy, 2nd ed. New York: American Institute of Weights and Measures.
Heilbron, J. L. 1986. Dilemmas of an Upright Man. Berkeley: University of California Press.
Heilbron, J. L. 1990. “The Measure of Enlightenment.” In The Quantifying Spirit in the Eighteenth Century, edited by Frängsmyr, Tore et al. Berkeley: University of California Press.
Heilig, Klaus. 1978. “The Dutch Book Argument Reconsidered.” British Journal for the Philosophy of Science 29:325–46.
Jevons, W. S. [1874] 1905. The Principles of Science, 3rd ed. London: Macmillan.
Jevons, W. S. [1871] 1970. The Theory of Political Economy. Baltimore: Penguin.
Jordan, Pascual. 1939. Annalen der Physik 36:64.
Jordan, Pascual. 1949. “The Formation of the Stars and the Development of the Universe.” Nature 164:637–40.
Klein, Martin. 1977. “The Beginnings of Quantum Theory.” In History of Twentieth Century Physics, edited by Weiner., C. New York: Academic Press.
Kothari, D. 1938. “Cosmological and Atomic Constants.” Nature 142:354–55.
Krantz, D., Luce, R., Suppes, P., and Tversky., A. 1971. Foundations of Measurement, Vol. 1. New York: Academic Press.
Kula, Witold. 1986. Measures and Men. Princeton, N.J.: Princeton University Press.
Kverneland, K. 1978. World Metric Standards for Engineering. New York: Industrial Press.
Lewis, Gilberg. 1925. “Ultimate Rational Units and Dimensional Theory.” Philosophical Magazine 9:739–50.
Lundgreen, Peter. 1986. Standardization — Testing — Regulation. Bielefeld: Kleine Verlag.
Macleod, H. 1884. “Address to the Board of Electors to the Professorship of Political Economy in the University of Cambridge.” London.
Manin, Yu. 1981. Mathematics and Physics. Boston: Birkhauser.
Maxwell, James Clerk. 1870. “Presidential Address to Section A of the British Association.” Nature 2:419–22.
Maxwell, James Clerk. 1871. The Theory of Heat. London: Longmans.
Maxwell, James Clerk. 1965. The Scientific papers. Edited by Niven., W. New York: Dover.
Meyerson, Emile. [1908] 1962. Identity and Reality. New York: Dover.
Miller, Arthur. 1986. Imagery in Scientific Thought. Cambridge, Mass.: MIT Press.
Mirowski, Philip. 1989. More Heat than Light. New York: Cambridge University Press.
Mirowski, Philip. 1991. “Postmodernism and the Social Theory of Value.” Journal of Post Keynesian Economics. 13:565–82.
Moore, Walter. 1989. Schrödinger: Life and Thought. New York: Cambridge University Press.
Norman, Eric. 1986. “Are the Fundamental Constants Really Constant?American Journal of Physics 54:317–21.
Ohanian, Hans. 1977. “Cosmological Changes in Atomic and Nuclear Constants.’ Foundations of Physics 7:391403.
Osborne, D. 1978. “On Dimensional Invariance.” Quantity and Quality 12:7589.
Pais, Abraham. 1982. Subtle Is the Lord … Oxford: Oxford University Press.
Petley, B. W. 1985. The Fundamental Physical Constants and the Frontiers of Measurement. Bristol: Adam Hilger.
Planck, Max. 1931. The Universe in Light of Modern Physics. New York: Norton.
Planck, Max. 1949. Scientific Autobiography. New York: Philosophical Library.
Planck, Max. 1959. The Theory of Heat Radiation. New York: Dover.
Pribram, Karl. 1983. A History of Economic Reasoning. Baltimore; Johns Hopkins University Press.
Rankine, W. 1881. Miscellaneous Scientific Papers. London: Charles Griffin.
Ringer, Fritz. 1969. The Decline of the German Mandarins. Cambridge, Mass.: Harvard University Press.
Rosenthal-Schneider, Ilse. 1980. Reality and Scientific Truth. Detroit: Wayne State University Press.
Rucker, A. 1889. “On the Suppressed Dimensions of Physical Quantities.” Philosophical Magazine 27:104–14.
Ruger, Alexander. 1988. “Atomism from Cosmology.” Historical Studies in the Physical Sciences 18:376401.
Shapin, S., and Schaffer., S. 1985. Leviathan and the Air Pump. Princeton, N. J.: Princeton University Press.
Stoney, G. Johnstone 1881. “On the Physical Units of Nature.” Philosophical Magazine 11:381–90.
Tiles, Mary. 1984. Bachelard: Science and Objectivity. New York: Cambridge University Press.
Whittaker, Edmund. 1945. “Eddington's Theory of the Constants of Nature.” Mathematical Gazette 29:137–44.
Whittaker, Edmund. 1951. Eddington's Principle in the Philosophy of Science. Cambridge: Cambridge University Press.
Wise, M. N. 1988. “Mediating Machines.” Science in Context 2(1):77114.

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Looking for Those Natural Numbers: Dimensionless Constants and the Idea of Natural Measurement1

  • Philip Mirowski (a1)

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