Abstract
The great tradition in philosophy, from Aristotle to Kant, was that philosophy legislated the methodology and foundations of science. It can be claimed that, in spite of the many centuries separating Aristotle and Kant, it is still true that the three most important foundational works on science were Aristotle’s Posterior Analytics, with many points amplified in the Physics and the Metaphysics, Descartes’ Principles of Philosophy, and at the other end of the period the very specific working out of the foundations of physics in Kant’s Metaphysical Foundations of Natural Science, with the more general lines of argument being given in the Critique of Pure Reason. It is not difficult to trace the enormous impact of Kant on physics in the nineteenth century, especially German physics, and also psychology, even though Kant was skeptical of providing the kind of foundations for psychology he gave for physics.
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References
Alekseev, V.M. (1969a). “Quasirandom dynamical systems. I. Quasirandom diffeomorphisms,” Mathematicheskie USSR Sbornik, 5, 73–128.
Alekseev, V.M. (1969b). “Quasirandom dynamical systems. II. One-dimensional nonlinear oscillations in a field with periodic perturbation,” Mathematicheskie USSR Sbornik, 6, 505–560.
Battro, A.M., Netto, S.P., & Rozestraten, R.J.A. (1976). “Riemannian geometries of variable curvature in visual space: Visual alleys, horopters, and triangles in big open fields,” Perception, 5, 9–23.
Bell, J.S. (1964). “On the Einstein Podolsky Rosen paradox,” Physics, 1, 195–200.
Blank, A.A. (1953). “The Luneburg theory of binocular visual space,” Journal of the Optical Society of America, 43, 717–727.
Blank, A.A. (1957). “The geometry of vision,” British Journal of Physiological Optics, 14, 154–169, 213.
Blank, A.A. (1958). “Analysis of experiments in binocular space perception,” Journal of the Optical Society of America, 48, 911–925.
Blank, A.A. (1961). “Curvature of binocular visual space. An experiment,” Journal of the Optical Society of America, 51, 335–339.
Blumenfeld, W. (1913). “Untersuchungen über die scheinbare Grösse in Schraume,” Zeitschrift fur Psychologie und Physiologie der Sinnesorgane, 65, 241–404.
Busemann, H. (1955). The geometry of geodesics. New York: Academic Press.
Clauser, J.F., Home, M.A., Shimony, A., & Holt, R.A. (1969). “Proposed experiment to test local hidden-variable theories,” Physical Review Letters, 23, 880–884.
Cutting, J.E. (1986). Perception with an eye for motion. Cambridge, MA: The MIT Press.
Dembowski, P. (1968). Finite geometries. New York: Springer-Verlag.
Fine, A. (1982). “Hidden variables, joint probability, and the Bell inequalities,” Physical Review Letters, 48, 291–295.
Foley, J.M. (1964a). “Desarguesian property in visual space,” Journal of the Optical Society of America, 54, 684–692.
Foley, J.M. (1964b). “Visual space: A test of the constant curvature hypothesis,” Psychonomic Science, 1, 9–10.
Foley, J.M. (1972). “The size-distance relation and intrinsic geometry of visual space: Implications for processing,” Vision Research, 13, 323–332.
Freudenthal, H. (1965). “Lie groups in the foundations of geometry,” Advances in Mathematics, 1, 145–190.
Hardy, L.H., Rand, G., Rittler, M.C., Blank, A.A., & Boeder, P. (1953). The geometry of binocular space perception. Knapp Memorial Laboratories, Institute of Ophthamology, Columbia University College of Physicians and Surgeons.
Helmholtz, H. von (1868). “Über die Thatsachen, die der Geometrie zu Grunde liegen,” Göttinger Nachrichten, 9, 193–221.
Hillenbrand, F. (1902). “Theorie der scheinbaren Grösse bei binocularem Sehen,” Denkschriften d. Wiener Akademie d. Wissenschaften. Mathematisch-Naturwissenschaftliche Classe, 72, 255–307.
Holland, P.W., & Rosenbaum, P.R. (1986). “Conditional association and unidimensionality in monotone latent variable models,” The Annals of Statistics, 14, 1523–1543.
Indow, T. (1967). “Two interpretations of binocular visual space: Hyperbolic and Euclidean,” Annals of the Japan Association for Philosophy of Science, 3, 51–64.
Indow, T. (1968). “Multidimensional mapping of visual space with real and simulated stars,” Perception & Psychophysics, 3, 45–53.
Indow, T. (1974). “Applications of multidimensional scaling in perception.” In Handbook of perception, Vol. 2, Psychophysical judgment and measurement (pp. 493–531). New York: Academic Press.
Indow, T. (1975). “An application of MDS to study of binocular visual space.” U.S.-Japan Seminar: Theory, methods and applications of multidimensional scaling and related techniques. University of California, August 20–24, San Diego, Calif.
Indow, T. (1979). “Alleys in visual space,” Journal of Mathematical Psychology, 19, 221–258.
Indow, T. (1982). “An approach to geometry of visual space with no a priori mapping functions: Multidimensional mapping according to Riemannian metrics,” Journal of Mathematical Psychology, 26, 204–236.
Indow, T., Inoue, E., & Matsushima, K. (1962a). “An experimental study of the Luneburg theory of binocular space perception (1). The 3- and 4-point experiments,” Japanese Psychological Research, 4, 6–16.
Indow, T., Inoue, E., & Matsushima, K. (1962b). “An experimental study of the Luneburg theory of binocular space perception (2). The alley experiments,” Japanese Psychological Research, 4, 17–24.
Indow, T., Inoue, E., & Matsushima, K. (1963). “An experimental study of the Luneburg theory of binocular space perception (3): The experiments in a spacious field,” Japanese Psychological Research, 5, 10–27.
Lie, S. (1886). “Bemerkungen zu Helmholtz’ Arbeit über die Thatsachen, die der Geometrie zu Grunde liegen,” Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physikalische Classe, 38, 337–342.
Luneburg, R.K. (1947). Mathematical analysis of binocular vision. Princeton, NJ: Princeton University Press.
Luneburg, R.K. (1948). “Metric methods in binocular visual perception.” In Studies and essays, (pp. 215–240). New York: Interscience.
Luneburg, R.K. (1950). “The metric of binocular visual space,” Journal of the Optical Society of America, 40, 627–642.
Matsushima, K., & Noguchi, H. (1967). “Multidimensional representation of binocular visual space,” Japanese Psychological Research, 9, 83–94.
Montague, R. (1974). “Deterministic theories.” Reprinted in R.H. Thomason (Ed.), Formal philosophy: Selected papers of Richard Montague, (pp. 332–336). New Haven: Yale Press.
Moser, J. (1973). Stable and random motions in dynamical systems with special emphasis on celestial mechanics. Hermann Weyl Lectures, the Institute for Advanced Study. Princeton, NJ: Princeton University Press.
Nishikawa, Y. (1967). “Euclidean interpretation of binocular visual space,” Japanese Psychological Research, 9, 191–198.
Pirenne, M.H. (1975). “Vision and art.” In E.C. Carterette & M.P. Friedman (eds.), Handbook of perception, Vol. 5, 434–490.
Riemann, B. (1854). “Über die Hypothesen, welche der Geometrie zu Grunde liegen,” Gesellschaft der Wissenschaften zu Göttingen: Abhandlungen, 1866–67, 13, 133–142.
Sitkinov, K. (1960). “Existence of oscillating motions for the three-body problem,” Doklady Akademii Nauk, USSR, 133(2), 303–306.
Suppes, P. (1977). “Is visual space Euclidean?” Synthese, 35, 397–421.
Suppes, P., & Zanotti, M. (1981). “When are probabilistic explanations possible?” Synthese, 48, 191–199.
Szczerba, L.W. (1984). “Imbedding of finite planes,” Potsdamer Forschungen, Reihe B Heft, 41, 99–102.
Szczerba, L.W., & Tarski, A. (1979). “Metamathematical discussion of some affine geometries,” Fundamenta Mathematicae, 104, 115–192.
Wagner, M. (1985). “The metric of visual space,” Perception & Psychophysics, 38, 483–495.
Weyl, H. (1923). Mathematische Analyse des Raumproblems. Berlin: Springer.
Zajaczkowska, A. (1956a). “Experimental determination of Luneburg’s constants σ and K,” Quarterly Journal of Experimental Psychology, 8, 66–78.
Zajaczkowska, A. (1956b). “Experimental test of Luneburg’s theory. Horopter and alley experiments,” Journal of the Optical Society of America, 46, 514–527.
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Suppes, P. (1990). Philosophy and the Sciences. In: Sieg, W. (eds) Acting and Reflecting. Synthese Library, vol 211. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2476-5_1
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