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Towards a General Theory of Reduction. Part I: Historical and Scientific Setting

Published online by Cambridge University Press:  05 May 2010

C.A. Hooker
Affiliation:
University of Newcastle, Australia The University of Western Ontario

Extract

The Three Papers comprising this series, together with my earlier [34] also published in this journal, constitute an attempt to set out the major issues in the theoretical domain of reduction and to develop (tentatively) a general theory of theory reduction. The fourth paper, [34], though published separately from this trio, is integral to the presentation and should be read in conjunction with these papers. Even so, the presentation is limited in scope – roughly, to intertheoretic reduction among empirical theories – and informal in presentation – not least because a satisfying formal account of theories has yet to be offered. And despite the length, the treatment is still condensed; often corroborating and/or intuitively helpful detail has had to be consigned to footnotes or omitted. I approach the problem from within my own naturalistic realist philosophy of science and formal analysis of abstract hierarchy in theory. The sources for the former are [25], [29], [31], and [32] and those for the latter essentially [27] and [30]. Hierarchical notions played a significant role in the already published [34].

Type
Articles
Copyright
Copyright © Canadian Philosophical Association 1981

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References

BIBLIOGRAPHY

[1] Adams, E.W. ’The Foundations of Rigid Body Mechanics and the Derivation of its Laws from those of Particle Mechanics” (in) Henkin, L., Suppes, P. and Tarski, A., (eds.) The Axiomatic Method, Amsterdam: North-Holland, 1959, pp. 250–65.CrossRefGoogle Scholar
[2] Bohm, D., “Quantum Theory as an lndication of a New Order in Physics. Part A. The Development of New Orders as Shown Through the History of Physics.” Foundations of Physics I, (1971) pp. 359382.Google Scholar
[3] Causey, R., “Uniform Microreductions”. Synthese XXV(1912), pp. 176217.Google Scholar
[4] Causey, R., “Attribute-Identities in Microreductions”, Journal of Philosophy LXIX(1972), pp. 407422.Google Scholar
[5] Causey, R., The Unity of Science, Dordrecht: D. Reidel Publishing Company, 1976.Google Scholar
[6] Dreyfus, H., What Computers Can't Do: A Critique of Artificial Reason, New York: Harper and Row, 1972.Google Scholar
[7] Feyerabend, P. K., “Explanation, Reduction and Empiricism”; (in) Feigel, H. and Maxwell, G. (eds.) Minnesota Studies in the Philosophy of Science, Vol. II, Minneapolis: University of Minnesota Press, 1962.Google Scholar
[8] Feyerabend, P.K., “Problems of Empiricism”; (in) Colodny, R., (ed.) Pittsburgh Studies in the Philosophy of Science, Vol. II, New Jersey: Prentice-Hall, 1965.Google Scholar
[9] Feyerabend, P.K., “Problems of Empiricism II”; (in) Colodny, R., (ed.) Pittsburgh Studies in the Philosophy of Science, Vol. IV, Pittsburgh: University of Pittsburgh Press, 1969.Google Scholar
[10] Feyerabend, P.K., “Replies to Criticism”; (in) Cohen, R.S. and Wartofsky, M.W. (eds.), Boston Studies in the Philosophy of Science, Vol. II, New York: Humanities Press, 1965.Google Scholar
[11] Feyerabend, P.K., Against Method, London: New Left Books, 1975.Google Scholar
[12] Fodor, J.A., The Language of Thought, New York: Crowell, 1975.Google Scholar
[13] Friedman, K.S., “A Partial Vindication of Ergodic Theory”, Philosophy of Science 43, (1976) pp. 151162.Google Scholar
[14] Gaa, J., “The Replacement of Scientific Theory: Reduction and Explication”, Philosophy of Science 42, (1975), pp. 349372.Google Scholar
[15] Gottlieb, D., “Ontological Reduction”, The Journal of Philosophy LXXIII (1976), pp. 5776.Google Scholar
[16] Haber, R.N., Information-Processing Approaches to Visual Perception, New York: Holt, Rinehart and Winston, 1969.Google Scholar
[17] Harper, W.L., “Rational Belief Change, Popper Functions and Counterfactu-als”, Synthese 30(1975), pp. 222262.Google Scholar
[18] Harper, W.L., “Conceptual Change Incommensurability and Special Relativity Kinematics”, to appear in Acta Philosophica Fennica.Google Scholar
[19] Harper, W.L. and Hooker, C.A., Foundations of Probability Theory, Statistical Inference and Statistical Theories of Science, Volumes I, II, III. Dor-drecht: D. Reidel Publishing Co., 1973.Google Scholar
[20] Harris, J.H., “On Comparing Theories”, Synthese 32 (1975), pp. 2976.Google Scholar
[21] Hempel, C.G., Aspects of Scientific Explanation, New York: The Free Press, 1965.Google Scholar
[22] Hempel, C.G., “Reduction: Linguistic and Ontological Issues”, (in) Morgen-besser, S., et al. (eds.) Philosophy, Science and Method, New York: St. Martins, 1969.Google Scholar
[23] Holton, G., Thermatic Origins of Scientific Thought, Cambridge, Mass.: Harvard University Press, 1973.Google Scholar
[24] Hooker, C.A., “Critical Notice: Against Method, P.K. Feyerabend”, Canadian Journal of Philosophy Vol. I(1972), pp. 489509.Google Scholar
[25] Hooker, C.A., “Empiricism, Perception and Conceptual Change”, Canadian Journal of Philosophy III(1973), PP. 5975Google Scholar
[26] Hooker, C.A., “The Metaphysics of Science: Atoms versus Plena”, International Logic Review 9 (1974), PP. 111146Google Scholar
[27] Hooker, C.A., “Physics and Metaphysics: A Prolegomenon for the Riddles of Quantum Theory”, (in) Hooker, C.A. (ed.) Contemporary Research in the Foundations and Philosophy of Quantum Theory, Dordrecht: D. Reidel Publishing Co., 1973CrossRefGoogle Scholar
[28] Hooker, C.A., “The Nature of Quantum Mechanical Reality: Einstein versus Bohr”, (in) R, Colodny. (ed.) Pittsburgh Studies in the Philosophy of Science Vol. V, 1972Google Scholar
[29] Hooker, C.A., “Systematic Realism”, Synthese 26 (1974), PP. 409497.Google Scholar
[30] Hooker, C.A., “Global Theories”, Philosophy of Science 42 (1975), PP. 152179Google Scholar
[31] Hooker, C.A., “Systematic Philosophy and Meta-Philosophy of Science: Empiricism, Popperianand Realism”, Synthese 32 (1975), PP. 177231.Google Scholar
[32] Hooker, C.A., “Methodology” (in) Butts, R.E. and Hintikka, J. (eds.) Proceedings, 5th International Congress on Logic, Methodology and Philosophy of Science, Vol. II, Dordrecht: D. Reidel Publishing Co., 1976.Google Scholar
[33] Hooker, C.A., “Sellars and the Elimination of Sense”, Philosophical Studies 32, #4 (1977), PP 335348CrossRefGoogle Scholar
[34] Hooker, C.A., “Critical Notice. R.M. Yoshida: Reduction in the Physical Sciences”, Dialogue XVIII, No. 1 (1979), 8199CrossRefGoogle Scholar
[35] Hooker, C.A. and Suchting, W., “Empirical Reduction”, Mimeograph, Sydney University, 1967Google Scholar
[36] Jammer, M., The Conceptual Development of Quantum Theory, New York: McGraw-Hill, 1966Google Scholar
[37] Jammer, M., The Philosophy of Quantum Mechanics, New York: Wiley, 1974Google Scholar
[38] Jubien, M., “Two Kinds of Reduction”, The Journal of Philosophy LXVI (1969), PP. 533541Google Scholar
[39] Kemeny, J.G. and Oppenheim, P., “On Reduction”, Philosophical Studies VII (1956), PP. 617Google Scholar
[40] Leibovic, K.N., Information Processing in the Nervous System, New York: Springer-Verlag, 1969.Google ScholarPubMed
[41] Nagel, E., The Structure of Science, New York: Harcourt, Brace and World, 1961.CrossRefGoogle Scholar
[42] Nagel, E., “Issues in the Logic of Reductive Explanations”, (in) Kiefer, H. and Munitz, M., (eds.) Mind, Science and History, Albany: S.U.N.Y. Press, 1970.Google Scholar
[43] Neisser, U., Cognitive Psychology, New York: Appleton-Century-Crofts, 1967.Google Scholar
[44] Neisser, U., Cognition and Reality, San Francisco: W.H. Freeman, 1976.Google Scholar
[45] Nickles, T., “Two Concepts of Intertheoretic Reduction”, The Journal of Philosophy LXX (1973), PP. 181201Google Scholar
[46] Nickles, T., “Theory Generalizations, Problem Reduction and the Unity of Science” (in) Cohen, R.S., Hooker, C.A., Michalos, A.C., & van Evra, J.W., (eds.) PSA 1974, Dordrecht: Reidel, 1976.Google Scholar
[47] Petersen, A., Quantum Physics and the Philosophical Tradition, Cambridge, Mass. M.I.T. Press, 1968.Google Scholar
[48] Proctor, W.G., “Negative Absolute Temperatures, Scientific American, Vol. 239, 08 1978, 9099CrossRefGoogle Scholar
[49] Putnam, H., “Realism and Reason”, Proceedings of the American Philosophical Association, (1977), PP. 483498Google Scholar
[50] Putnam, H., “Models and Reality”, Presidential address, Association for Symbolic Logic, 1977. To appear.Google Scholar
[51] Quine, W.V.O., “Ontological Reduction and the World of Numbers”, The Journal of Philosophy LXI (1964), PP. 209216. Reprinted in The Ways of Paradox, New York: Random House, 1966.Google Scholar
[52] Redhead, M.L.G., “Symmetry inIntertheory Relations”, Synthese 32 (1975), PP. 77112.Google Scholar
[53] Schaffner, K.F., “Approaches to Reduction”, Philosophy of Science 34 (1967), PP. 137147Google Scholar
[54] Schaffner, K.F., “Reductionism in Biology: Prospects and Problems” (in) Cohen, R.S., Hooker, C.A., Michalos, A.C. & van Evra, J.W., (eds.) PSA 1974, Dordrecht: Reidel, 1976.Google Scholar
[55] Schaffner, K.F., “The Unity of Science and Theory Construction in Molecular Biology” (in) Seegar, R.J., and Cohen, R.S., (eds.) Boston Studies in the Philosophy of Science Vol. XI, Dordrecht: D. Reidel Publishing Co., 1974.Google Scholar
[56] Scriven, M., “Explanations, Predictions and Laws” (in) Feigl, H., & Maxwell, G., (eds.) Minnesota Studies in the Philosophy of Science, Vol. III, Minneapolis: University of Minnesota Press, 1962.Google Scholar
[57] Sellars, W., “The Identity Approach to the Mind-Body Problem”, (in) Cohen, R.S. and Wartofsky, M.W. (eds.) Boston Studies in the Philosophy of Science, Vol. II, New York: Humanities Press, 1965.Google Scholar
[58] Sellars, W., Science, Perception and Reality, London: Routledge and Kegan Paul, 1963.Google Scholar
[59] Sellars, W., “Theoretical Explanation” (in) Baumrin, B. (ed.) Philosophy of Science (Delaware Seminar), Vol. 2, New York: Wiley, 1963.Google Scholar
[60] Sklar, L., “Inter-theoretic Reduction in the Natural Sciences”, unpublished Ph.D. dissertation, Princeton University, 1964.Google Scholar
[61] Sklar, L., “Types of Inter-theoretic Reduction”, British Journalfor the Philosophy of Science XVIII (1967) PP. 109124Google Scholar
[62] Sklar, L., “Thermodynamics, Statistical Mechanics and the Complexity of Reductions” (in) Cohen, R.S., Hooker, C.A., Michalos, A.C. & van Evra, J.W., (eds.) PSA 1974, Dordrecht: Reidel, 1976.Google Scholar
[63] Sklar, L., “Statistical Explanation and Ergodic Theory”, Philosophy of Science 40(1973), 194212Google Scholar
[64] Smart, J.C., “Conflicting Views about Explanation”, (in) Cohen, R.S. and Wartofsky, M.W. (eds.) Boston Studies in the Philosophy of Science, Vol. II, New York: Humanities Press, 1965.Google Scholar
[65] Sneed, J., The Logical Structure of Mathematical Physics, Dordrecht: D. Reidel Publishing Company, 1971.CrossRefGoogle Scholar
[66] Solso, R.L., (ed.) Theories in Cognitive Psychology, Information Processing and Cognition (The Loyola Symposium, Vols. 2, 3) Hillsdale, New Jersey: Lawrence Erlbaum Association, 1974,1975.Google Scholar
[67] Spector, M., “Russell's Maxim and Reduction as Replacement” Synthese 32 (1975) PP. 135176Google Scholar
[68] Stegmuller, W., The Structure and Dynamics of Theories (Wohlhueter, W., trans.), Berlin: Springer Verlag, 1975.Google Scholar
[69] Suppes, P., “What is a Scientific Theory?” (in) Morgenbesser, S., (ed.) Philosophy of Science Today, New York: Basic Books, 1967.Google Scholar
[70] Tharp, L.H., “Ontological Reduction”, The Journal of Philosophy LXVIII (1971)PP. 151164Google Scholar
[71] Tisza, L., “Classical Statistical Mechanics versus Quantal Statistical Thermodynamics: A Study in Contrasts” (in) Harper, W. and Hooker, C.A. (eds.) Foundations of Probability Theory, Statistical Inference and Statistical Theories of Science, Vol. III, Dordrecht: D. Reidel Publishing Co., PP. 208216.Google Scholar
[72] Toulmin, S., Human Understanding, Princeton: Princeton University Press, 1972.Google Scholar
[73] Wimsatt, W., “Complexity and Organisation” (in) Schaffner, K.S. & Cohen, R.S., (eds.) PSA 1972, Dordrecht: Reidel, 1974.Google Scholar
[74] Wimsatt, W., “Reductive Explanation: A Functional Account” (in) Cohen, R.S., Hooker, C.A., Michalos, A.C. & van Evra, J.W., (eds.) PSA 1974, Dordrecht: Reidel, 1976.Google Scholar
[75] Wimsatt, W., “Reductionism, Levels of Organisation and the Mind-Body Problem” (in) Glebus, G., Maxwell, G. & Savodnik, I. (eds.) Consciousness and the Brain, New York: Plenum Press, 1976.Google Scholar
[76] Winch, P., The Idea of a Social Science, London: Routledge & Regan Paul, 1958.Google Scholar
[77] Yoshida, R.M., Reduction in the Physical Sciences, Philosophy in Canada: A Monograph Series, Halifax, Nova Scotia: Canadian Association for Publishing in Philosophy by Dalhousie University Press, 1977.Google Scholar