The logic of colors in model-theoretical and game-theoretical perspectives
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09.04.2013
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This paper sketches two approaches to the color exclusion problem provided by model-theoretical and game-theoretical semantics. The case study, modeling the experimentally confirmed perception of ‘forbidden’ (e.g., reddish green and bluish yellow) colors, is presented as neuropsychological evidence for game-theoretical semantics.
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Драгалина-Черная Е. The logic of colors in model-theoretical and game-theoretical perspectives // Логические исследования / Logical Investigations. 2013. Т. 19. C. 23-32.
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Billock, V.A., Gleason, G.A., and B.H. Tsou, Perception of forbidden colors in retinally stabilized equiluminant images: an indication of softwired cortical color opponency? Journal of Optical Society of America 18(10):2398–2403, 2001.
Bonnay, D., Logicality and Invariance, Bulletin of Symbolic Logic 14(1):29–68, 2008.
Crane, H.D., and T.P. Piantanida, On seeing reddish green and yellowish blue, Science 221:1078–1080, 1983.
Dragalina-Chernaya, E., Model-Theoretic Languages as Formal Ontologies, in Munz V.A. et al. (eds.), Language and World. Contributions of the Austrian Ludwig Wittgenstein Society, vol. XVII, Kirchberg, 2009, pp. 78–80.
Hardin, L., Color for Philosophers, Hackett, Indianapolis and Cambridge MA, 1988.
Hintikka, J., and M.B. Hintikka, Some Remarks on (Wittgensteinian) Logical Form, Synthese 56(2):155–170, 1983.
Hintikka, J., and G. Sandu, Informational Independence as a Semantical Phenomenon, in Fenstad J.E. et al. (eds.), Logic, Methodology and Philosophy of Science, vol. 8, Amsterdam: Elsevier, 1989. P. 571–589.
Hintikka, J., Logical Versus Nonlogical Concepts: An Untenable Dualism? in Rahman S. et al. (eds.), Logic, Epistemology and the Unity of Science, Springer, 2009, pp. 51–56.
Horst, S., Modeling, Localization and the Explanation of Phenomenal Properties: Philosophy and the Cognitive Sciences at the Beginning of the Millennium, Synthese 147(3):477–513, 2005.
Clark, A., Qualia and the Psychophysiological Explanation of Color Perception, Synthese 65(3):377–405, 1985.
Mulligan, K., Colors, Corners and Complexity; Mejnong & Wittgenstein on some Internal Relations, in B. C. van Fraassen et al. (eds.),
Existence and Explanation: Essays in Honor of Karel Lambert, The University of Western Ontario Series in Philosophy of Science Dordrecht: Kluwer, 1991, pp. 77–101.
Putnam, H., Reds, Greens, and Logical Analysis, The Philosophical Review 65(2):206–217, 1956.
Pietarinen, A.-V., Independence-Friendly Logic and Games of Information, in J. van Benthem et al. (eds.), The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today, Springer, 2006, pp. 243–259.
Pietarinen, A.-V., and G. Sandu, IF Logic, Game-Theoretical Semantics, and the Philosophy of Science, in Rahman S. et al. (eds.), Logic, Epistemology and the Unity of Science, Springer, 2009, pp. 105–138.
Sher, G., The Bounds of Logic: A Generalized Viewpoint, Cambridge: MIT, 1991.
Tarski, A., What are Logical Notions? History and Philosophy of Logic 7:143–154, 1986.
Van Benthem, J., Logical Constants Across Varying Types, Notre Dame Journal of Formal Logic 30:315–342, 1989.
Wittgenstein, L., Tractatus Logico-Philosophicus, London: Routledge & Kegan Paul., 1922.
Wittgenstein, L., Some Remarks on Logical Form, Proceedings of the Aristotelian Society 9:162–171, 1929.
Wittgenstein, L., Philosophical Remarks, Oxford: Blackwell, 1964.
Wittgenstein, L., Remarks on Colour, Oxford: Blackwell, 1977.
Westphal, J., Conflicting Appearances, Necessity and the Irreducibility of Propositions about Colours, Proceedings of the Aristotelian Society, New Series 105:219–235, 2005.
Bonnay, D., Logicality and Invariance, Bulletin of Symbolic Logic 14(1):29–68, 2008.
Crane, H.D., and T.P. Piantanida, On seeing reddish green and yellowish blue, Science 221:1078–1080, 1983.
Dragalina-Chernaya, E., Model-Theoretic Languages as Formal Ontologies, in Munz V.A. et al. (eds.), Language and World. Contributions of the Austrian Ludwig Wittgenstein Society, vol. XVII, Kirchberg, 2009, pp. 78–80.
Hardin, L., Color for Philosophers, Hackett, Indianapolis and Cambridge MA, 1988.
Hintikka, J., and M.B. Hintikka, Some Remarks on (Wittgensteinian) Logical Form, Synthese 56(2):155–170, 1983.
Hintikka, J., and G. Sandu, Informational Independence as a Semantical Phenomenon, in Fenstad J.E. et al. (eds.), Logic, Methodology and Philosophy of Science, vol. 8, Amsterdam: Elsevier, 1989. P. 571–589.
Hintikka, J., Logical Versus Nonlogical Concepts: An Untenable Dualism? in Rahman S. et al. (eds.), Logic, Epistemology and the Unity of Science, Springer, 2009, pp. 51–56.
Horst, S., Modeling, Localization and the Explanation of Phenomenal Properties: Philosophy and the Cognitive Sciences at the Beginning of the Millennium, Synthese 147(3):477–513, 2005.
Clark, A., Qualia and the Psychophysiological Explanation of Color Perception, Synthese 65(3):377–405, 1985.
Mulligan, K., Colors, Corners and Complexity; Mejnong & Wittgenstein on some Internal Relations, in B. C. van Fraassen et al. (eds.),
Existence and Explanation: Essays in Honor of Karel Lambert, The University of Western Ontario Series in Philosophy of Science Dordrecht: Kluwer, 1991, pp. 77–101.
Putnam, H., Reds, Greens, and Logical Analysis, The Philosophical Review 65(2):206–217, 1956.
Pietarinen, A.-V., Independence-Friendly Logic and Games of Information, in J. van Benthem et al. (eds.), The Age of Alternative Logics: Assessing Philosophy of Logic and Mathematics Today, Springer, 2006, pp. 243–259.
Pietarinen, A.-V., and G. Sandu, IF Logic, Game-Theoretical Semantics, and the Philosophy of Science, in Rahman S. et al. (eds.), Logic, Epistemology and the Unity of Science, Springer, 2009, pp. 105–138.
Sher, G., The Bounds of Logic: A Generalized Viewpoint, Cambridge: MIT, 1991.
Tarski, A., What are Logical Notions? History and Philosophy of Logic 7:143–154, 1986.
Van Benthem, J., Logical Constants Across Varying Types, Notre Dame Journal of Formal Logic 30:315–342, 1989.
Wittgenstein, L., Tractatus Logico-Philosophicus, London: Routledge & Kegan Paul., 1922.
Wittgenstein, L., Some Remarks on Logical Form, Proceedings of the Aristotelian Society 9:162–171, 1929.
Wittgenstein, L., Philosophical Remarks, Oxford: Blackwell, 1964.
Wittgenstein, L., Remarks on Colour, Oxford: Blackwell, 1977.
Westphal, J., Conflicting Appearances, Necessity and the Irreducibility of Propositions about Colours, Proceedings of the Aristotelian Society, New Series 105:219–235, 2005.