Summary
We discuss a specific way in which the notion of complementarity can be based on the dynamics of the system considered. This approach rests on an epistemic representation of system states, reflecting our knowledge about a system in terms of coarse grainings (partitions) of its phase space. Within such an epistemic quantization of classical systems, compatible, comparable, commensurable, and complementary descriptions can be precisely characterized and distinguished from each other. Some tentative examples are indicated that, we suppose, would have been of interest to Pauli.
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References
Atmanspacher, H. (2000): Ontic and epistemic descriptions of chaotic systems. In Dubois, D. (ed.), Computing Anticipatory Systems, Springer, Berlin, pp. 465–478.
Atmanspacher, H. (2003): Mind and matter as asymptotically disjoint, inequivalent representations with broken time-reversal symmetry. BioSystems 68, 19–30.
Atmanspacher, H. and Graben, P. beim (2007): Contextual emergence of mental states from neurodynamics. Chaos and Complexity Letters 2, 151–168.
Atmanspacher, H. , Filk, T. and Römer, H. (2008): Complementarity and bistable perception. This volume.
Atmanspacher, H. and Kronz, F. (1999): Relative onticity. In Atmanspacher, H., Amann, A. and Müller-Herold, U. (eds.), On Quanta, Mind and Matter. Hans Primas in Context, Kluwer, Dordrecht, pp. 273–294.
Atmanspacher, H. , Römer, H. and Walach, H. (2002): Weak quantum theory: Complementarity and entanglement in physics and beyond. Foundations of Physics 32, 379–406.
Bernays, P. (1948): Über die Ausdehnung des Begriffes der Komplementarität auf die Philosophie. Synthese 7, 66–70.
Bohr, N. (1948): On the notions of causality and complementarity. Dialectica 2, 312–319.
Bowen, R. (1970): Markov partitions for axiom A diffeomorphisms. American Journal of Mathematics 92, 725–747.
Chalmers, D.J. (1995): Facing up to the problem of consciousness. Journal of Consciousness Studies 2(3), 200–219.
Chalmers, D.J. (2000): What is a neural correlate of consciousness? In Metzinger, T. (ed.), Neural Correlates of Consciousness, MIT Press, Cambridge MA, pp. 17–39.
Crutchfield, J.P. (1983): Noisy Chaos. PhD thesis at the University of California at Santa Cruz, Sec. 5.
Crutchfield, J.P. and Packard, N.H. (1983): Symbolic dynamics of noisy chaos. Physica D 7, 201–223.
Dale, R. and Spivey, M.J. (2005): From apples and oranges to symbolic dynamics: a framework for conciliating notions of cognitive representation. Journal of Ex-perimental and Theoretical Artificial Intelligence 17, 317–342.
Froyland, G. (2001): Extracting dynamical behavior via Markov models. In Mees, A.I. (ed.), Nonlinear Dynamics and Statistics, Birkhäuser, Boston, pp. 281–312.
Graben, P. beim (2004): Incompatible implementations of physical symbol systems. Mind and Matter 2(2), 29–51.
Graben, P. beim and Atmanspacher, H. (2006): Complementarity in classical dynamical systems. Foundations of Physics 36, 291–306.
Harnad, S. (1990): The symbol grounding problem. Physica D 43, 335–346.
Hoyningen-Huene, P. (1990): Kuhn’s conception of incommensurability. Studies in History and Philosophy of Science 21, 481–492.
Jung, C.G. (1969): On the nature of the psyche. In Collected Works, Vol. 8, second edition, Princeton University Press, Princeton.
Kuhn, T. (1983): Commensurability, comparability, communicability. In: Asquith, P. and Nickles, T. (eds), Proceedings of the 1982 Biennial Meeting of the Philosophy of Science Association, Philosophy of Science Association, East Lansing, pp. 669–688.
Pauli, W. (1950): Die philosophische Bedeutung der Idee der Komplementarität. Experientia 6, 72–81, 1950. English translation in: Enz, C.P. and Meyenn, K. von (eds.), Wolfgang Pauli. Writings on Physics and Philosophy, Springer, Berlin 1994, pp. 35–42.
Pauli, W. (1952): Der Einfluss archetypischer Vorstellungen auf die Bildung natur-wissenschaftlicher Theorien bei Kepler. In Jung, C.G. and Pauli, W. (eds.), Naturerklärung und Psyche, Rascher, Zürich, pp. 109–194. English translation in: Enz, C.P. and Meyenn, K. von (eds.), Wolfgang Pauli. Writings on Physics and Philosophy, Springer, Berlin 1994, pp. 219–279.
Primas, H. (1977): Theory reduction and non-Boolean theories. Journal of Mathematical Biology 4, 281–301.
Primas, H. (2007): Non-Boolean descriptions for mind-matter problems. Mind and Matter 5, 7–44.
Primas, H. (2008); Complementarity of mind and matter. This volume.
Quine, W.V. (1969): Ontological relativity. In Ontological Relativity and Other Essays, Columbia University Press, New York, pp. 26–68.
Römer, H. (2004): Weak quantum theory and the emergence of time. Mind and Matter 2(2), 105–125.
Römer, H. (2006): Complementarity of process and substance. Mind and Matter 4(1), 69–89.
Ruelle, D. (1989): The thermodynamic formalism for expanding maps. Communications of Mathematical Physics 125, 239–262.
Seager, W. (2008): A new idea of reality: Pauli on the unity of mind and matter. This volume.
Shalizi, C.R. and Moore, C. (2003): What is a macrostate? Subjective observations and objective dynamics. Available at xxx.lanl.gov/pdf/cond-mat/0303625
Slife, B. (2000): Are discourse communities incommensurable in a fragmented psychology? Journal of Mind and Behavior 21, 261–271.
Sinai, Ya.G. (1968): Markov partitions and C-diffeomorphisms. Functional Analysis and its Applications 2, 61–82.
Smolensky, P. (1988): On the proper treatment of connectionism. Behavioral and Brain Sciences 11, 1–74.
Smolensky, P. (2006): Harmony in linguistic cognition. Cognitive Science 30, 779–801.
Velmans, M. (2002): How could conscious experiences affect brains? Journal of Consciousness Studies 9(11), 3–29.
Velmans, M. (2008): Psychophysical nature. This volume.
Viana, R.L. , Grebogi, G. , Pinto, S.E de S., Barbosa, J.R.R., and Grebogi, C. (2003): Pseudo-deterministic chaotic systems. International Journal of Bifurcation and Chaos 13, 3235–3253.
Walach, H. and Römer, H. (2000): Complementarity is a useful concept for consciousness studies. A reminder. Neuroendocrinology Letters 21, 221–232.
Westmoreland, M.D. and Schumacher, B.W. (1993): Non-Boolean derived logics for classical systems. Physical Review A 48, 977–985.
Yanchar, S.C. and Slife, S.C. (1997): Pursuing unity in a fragmented psychology: Problems and prospects. Review of General Psychology 1, 235–255.
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Graben, P.b., Atmanspacher, H. (2009). Extending the Philosophical Significance of the Idea of Complementarity. In: Atmanspacher, H., Primas, H. (eds) Recasting Reality. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85198-1_5
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