Continuous and Discrete Time: Scientific Possibilities

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  • 1 Philosophy Department, San Francisco State University, San Francisco, CA 94132, USA

Abstract

This paper presents a philosophical and scientifically informed assessment of the continuity of time. It provides experimental evidence for the continuity of psychological time and evaluates the view that physical and psychological time may be continuous. It then offers a potential problem for the continuity of physical time, which adds plausibility to the possibility that only psychological time is continuous. The main contributions of the paper are that it provides an adequate and up to date interpretation of traditional philosophical views concerning the continuity of time, and that it argues for a reliabilist account of the epistemology of the mathematical continuum.

  • Brouwer E. L. J. Cambridge Lectures on Intuitionism 1981 New York, NY Cambridge University Press

  • Cordes S., Gelman R., Gallistel C. R. & Whalen J. “Variability signatures distinguish verbal from nonverbal counting for both large and small numbers.” Psychonomic Bulletin & Review 2001 8 698 707

    • Search Google Scholar
    • Export Citation
  • Cheng K. & Roberts W. “Three psychophysical principles of timing in pigeons.” Learning and Motivation 1991 22 112 128

  • Church R. M. & Gibbon J. “Temporal generalization.” Journal of Experimental Psychology: Animal Behavior Processes 1982 8 165 186

  • Dehaene S. The Number Sense 1997 New York, NY Oxford University Press

  • Dretske F. Knowledge and the Flow of Information 1981 Cambridge, MA MIT Press

  • Dowker F. “Causal sets as discrete spacetime.” Contemporary Physics 2006 47 1 1 9

  • Feynman R. The Feynman Lectures on Physics II 1977 Reading, MA Addison-Wesley

  • Gallistel C. R. & Gelman R. “Verbal and preverbal counting and computation.” Cognition 1992 44 43 74

  • Gallistel C. R., Gelman R. & Cordes S. Levinson S. & Jaisson P. “The Cultural and Evolutionary History of the Real Numbers.” Culture and Evolution 2005 Cambridge, MA MIT Press

    • Search Google Scholar
    • Export Citation
  • Gibbon J. “Scalar expectancy theory and Weber’s law in animal timing.” Psychological Review 1977 84 279 335

  • Gibbon J., Church R. M. & Meck W. H. “Scalar timing in memory.” Annals of The New York Academy of Sciences 1984 423 52 77

  • Goodman N. Languages of Art 1976 Indianapolis, IN Hackett

  • Kant I. Guyer P. & Wood A. W. The Critique of Pure Reason 1999 New York, NY Cambridge University Press

  • Le Poidevin R. “Relationism and Temporal Topology: Physics or Metaphysics?” Philosophical Quarterly 1990 40 419 432

  • Ludlow P. Semantics, Tense and Time 1999 Cambridge, MA MIT Press

  • Montemayor C. Parker J. A., Harris P. & Steineck C. “Time: Biological, Intentional and Cultural.” Time: Limits and Constraints 2010 Brill

  • Montemayor C. & Balci F. “Compositionality in Language and Arithmetic.” Journal of Theoretical and Philosophical Psychology 2007 27 1 53 72

    • Search Google Scholar
    • Export Citation
  • O’Reilly R. C. “Biologically Based Computational Models of High-Level Cognition.” Science 2006 314 91

  • Penrose R. The Road to Reality: A Complete Guide to the Laws of the Universe 2005 New York, NY Alfred A. Knopf

  • Rosenbaum D. A. Pashler H. & Yantis S. “Motor Control.” Stevens Handbook of Experimental Psychology: Vol 1 Sensation and Perception 2002 3rd ed. New York Wiley 315 339

    • Search Google Scholar
    • Export Citation
  • Schopenhauer A. Payne E. F. J. The World as Will and Representation 1966 Vol. II. Toronto, Canada Dover

  • Weyl H. Brose H. L. Space, Time, Matter 1952 New York NY Dover

  • Weyl H. Pollard S. & Bole T. The Continuum 1994 New York, NY Dover

  • Weyl H. Helmer O. Philosophy of Mathematics and Natural Science 1949 Princeton, NJ Princeton University Press

  • Weyl H. Pesic P. “Time Relations in the Cosmos, Proper Time, Lived Time, and Metaphysical Time.” Mind and Nature 2009 Princeton, NJ Princeton University Press

    • Search Google Scholar
    • Export Citation
  • Xu F. & Spelke E.S. “Large number discrimination in 6-month-old infants.” Cognition 2000 74 1 11

  • 8

    See Montemayor, C. (2010) for a characterization of this sense of psychological time (motor-intentional time).

  • 9

    See Montemayor, C. and Balci, F. (2007) for compositional rules regarding this format of mental representation.

  • 12

    See Church, R. M. and Gibbon, J. (1982) for the proposal of the accumulator model.

  • 14

    See Le Poidevin, R. (1990).

  • 16

    See for example Feynman, R. (1977) for how fundamental laws of physics can be expressed in terms of a principle of least action, particularly section 19-7.

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