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Normic Laws, Non-Monotonic Reasoning, and the Unity of Science

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Logic, Epistemology, and the Unity of Science

Part of the book series: Logic, Epistemology, And The Unity Of Science ((LEUS,volume 1))

Abstract

Normic laws have the form “if A, then normally B”. This paper attempts to show that if a philosophical analysis of normic laws (Sections 1, 5) is combined with certain developments in nonmonotonic logic (Sections 2, 4), then both the unity and the diversity of scientific disciplines can be seen in a new perspective (Section 8.9). In particular, this perspective may shed new light on various received questions such as the importance of individual case understanding in the humanities (Section 2), theory-protection through addition of auxiliary hypotheses (Section 3), the fundamental role of evolution in the explanation of normic laws and their relation to statistical normality (Section 5), the different nature of ceteris paribus laws (Section 6) and of the underlying system laws (Sections 7, 8) in physical versus non-physical sciences. The resulting picture is one of unity on the background of diversity on the background of unity (Section 9).

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References

  • Adams, E. W. : 1975, The Logic of Conditionals, Dordrecht, Reidel.

    Google Scholar 

  • Adams, E.W.: 1986, ‘On the Logic of High Probability’, Journal of Philosophical Logic 15, 255–279.

    Article  Google Scholar 

  • Alchourón, C. E., P. Gärdenfors and D. Makinson: 1985, ‘On the Logic of Theory Change’, Journal of Symbolic Logic 50, 510–530.

    Article  Google Scholar 

  • Ashby, W. R.: 1961, An Introduction to Cybernetics, London, Chapman & Hall.

    Google Scholar 

  • Bertalanffy, L. v.: 1979, General System Theory, 6th edn, New York.

    Google Scholar 

  • Blackmore, S.: 2000, The Meme Machine, Oxford, Oxford Paperbacks.

    Google Scholar 

  • Boyd, R. and P. J. Richerson: 1985, Culture and the Evolutionary Process, Chicago, University of Chicago Press.

    Google Scholar 

  • Brewka, G.: 1991, Non-monotonic Reasoning. Logical Foundations of Commonsense, Cambridge University Press.

    Google Scholar 

  • Canfied, J. and K. Lehrer: 1961, ‘A Note on Prediction and Deduction’, Philosophy of Science 28, 204–208.

    Article  Google Scholar 

  • Carnap, R.: 1950, Logical Foundations of Probability, Chicago, University of Chicago Press.

    Google Scholar 

  • Cartwrigt, N.: 1983, How the Laws of Physics Lie, Oxford, Clarendon Press.

    Book  Google Scholar 

  • Cartwright, N.: 1989, Nature’s Capacities and their Measurement, Oxford, Clarendon Press.

    Google Scholar 

  • Causey, R.: 1977, The Unity of Science, Dordrecht, Reidel.

    Google Scholar 

  • Churchland, P.: 1981, ‘Eliminative Materialism and Propositional Attitudes’, Journal of Philosophy 78, 67–90.

    Article  Google Scholar 

  • Coffa, J. A.: 1968, ‘Deductive Predictions’, Philosophy of Science 35, 279–283.

    Article  Google Scholar 

  • Dawkins, Richard: 1989, The Selfish Gene, 2nd edn, Oxford, Oxford University Press.

    Google Scholar 

  • Delgrande, J. P.: 1988, ‘An Approach to Default Reasoning Based on a First-Order Conditional Logic: Revised Report’, Artificial Intelligence 36, 63–90.

    Article  Google Scholar 

  • Dray, William: 1957, Laws and Explanation in History, Oxford, Oxford University Press.

    Google Scholar 

  • Dubois, D. et al.: 1994, ‘Possibilistic Logic’, in (1994, ed.), 439–513.

    Google Scholar 

  • Earman, J.: 1986, A Primer on Determinism, Dordrecht, Reidel.

    Google Scholar 

  • Fodor, J.: 1989, ‘Making Mind Matter More’, Philosophical Topics 17, 59–79.

    Google Scholar 

  • Fodor, J.: 1991, ‘You Can Fool Some of the People All of the Time’, Mind 100, 19–34.

    Article  Google Scholar 

  • Fuhrmann, A. and H. Rott: 1996, Logic, Action and Information, Berlin, de Gruyter.

    Google Scholar 

  • Gabbay, D.: 1984, ‘Theoretical Foundations for Non-Monotonic Reasoning in Expert Systems’, in K. R. Apt (ed.), Logics and Models for Concurrent Systems, Berlin, Springer, pp. 439–458.

    Google Scholar 

  • Gabbay, D. M. et al.: 1994, (eds.), Handbook of Logic in Artificial Intelligence, Vol. 3, Nonmonotonic Reasoning and Uncertain Reasoning, Oxford, Clarendon Press.

    Google Scholar 

  • Gadenne, V.: 1998, ‘Grundprobleme der Prüfung von Theorien’, in M. Albert and W. Meyer (eds.), Theorie, Modell und Erfahrung, Tübingen, Mohr.

    Google Scholar 

  • Gardiner, P.: 1952, The Nature of Historical Explanation, Oxford, Oxford University Press.

    Google Scholar 

  • Gärdenfors, P.: 1988, Knowledge in Flux, Cambridge, MA, MIT Press.

    Google Scholar 

  • Gärdenfors, P.: 1986, ‘Belief Revisions and the Ramsey Test for Conditionals’, Philosophical Review 95, 81–93.

    Article  Google Scholar 

  • Gärdenfors, P. and D. Makinson: 1994, ‘Non-monotonic Inference based on Expectation Orderings’, Artificial Intelligence 65, 197–245.

    Article  Google Scholar 

  • Goldman, A. I.: 1986, Epistemology and Cognition, Cambridge, MA, Harvard University Press.

    Google Scholar 

  • Goldszmidt, M. and J. Pearl: 1996, ‘Qualitative Probabilities for Default Reasoning, Belief Revision and Causal Modeling’, Artificial Intelligence 84, 57–112.

    Article  Google Scholar 

  • Good, I. J.: 1983, Good Thinking. The Foundations of Probability and Its Applications, Minneapolis, University of Minnesota Press.

    Google Scholar 

  • Grünbaum, A. and W. Salmon (eds.): 1988, The Limitations of Deductivism, Berkeley, University of California Press.

    Google Scholar 

  • Haken, H.: 1983, Synergetics, 3rd edn., Berlin, Springer.

    Google Scholar 

  • Hempel, C. G.: 1965, Aspects of Scientific Explanation and Other Essays, New York, Free Press.

    Google Scholar 

  • Hempel, C. G.: 1968, ‘Maximal Specifity and Lawlikeness in Probabilistic Explanation’, Philosophy of Science 35, 116–133.

    Article  Google Scholar 

  • Hempel, C. G.: 1988, ‘Provisos: A Problem Concerning the Inferential Function of Scientific Theories’, in Grünbaum and Salmon (eds.), pp. 19–36.

    Google Scholar 

  • Holzkamp, K.: 1968, Wissenschaft als Handlung, Berlin, de Gruyter.

    Google Scholar 

  • Horgan, T. and J. Tienson: 1996, Connectionism and the Philosophy of Psychology, Cambridge, MA, MIT Press.

    Google Scholar 

  • Hüttemann, A.: 1998, ‘Laws and Dispositions’, Philosophy of Science 65, 121–135.

    Article  Google Scholar 

  • Joseph, G.: 1980, ‘The Many Sciences and the One World’, Journal of Philosophy 77, 773–790.

    Article  Google Scholar 

  • Kahneman, D., P. Slovic and A. Tversky: 1982, Judgement Under Uncertainty: Heuristics and Biases, Cambridge, Cambridge University Press.

    Google Scholar 

  • Kraus, S., D. Lehmann and M. Magidor: 1990, ‘Non-monotonic Reasoning, Preferential Models and Cumulative Logics’, Artificial Intelligence 44, 167–207.

    Article  Google Scholar 

  • Kyburg, H. E. Jr.: 1988, ‘The Justification of Deduction in Science’, in Grünbaum and Salmon (eds.), pp. 61–94.

    Google Scholar 

  • Lakatos, I.: 1970, ‘Falsification and the Methodology of Scientific Research Programmes’, reprinted in Lakatos, I.: 1978, Philosophical Papers, Vol 1, Cambridge, Cambridge University Press.

    Google Scholar 

  • Laurier, D.: 1996, ‘Function, Normality, and Temporality’, in M. Marion and R. S. Cohen (eds.), Québec Studies in the Philosophy of Science, Dordrecht, Kluwer, pp. 25–52.

    Google Scholar 

  • Laymon, R.: 1989, ‘Cartwright and the Lying Laws of Physics’, Journal of Philosophy 89, 353–372.

    Article  Google Scholar 

  • Lehmann, D. and M. Magidor: 1992, ‘What does a Conditional Knowledge Base Entail?’, Artificial Intelligence 55, 1–60.

    Article  Google Scholar 

  • Leitgeb, H.: 2001, ‘Non-monotonic Reasoning by Inhibitions Nets’, Artificial Intelligence 128, 161–201.

    Article  Google Scholar 

  • Lewis, D.: 1973, Counterfactuals, Oxford, Basil Blackwell.

    Google Scholar 

  • Makinson, D.: 1994, ‘General Patterns in Non-monotonic Reasoning’, in Gabbay (ed.), pp. 35–110.

    Google Scholar 

  • McCarthy, J.: 1986, ‘Application of Circumscription to Formalizing Common-Sense Knowledge’, Artificial Intelligence 13, 89–116.

    Article  Google Scholar 

  • McDermott, D. and J. Doyle: 1980, ‘Non-Monotonic Logic I’, Artificial Intelligence 25, 41–72.

    Article  Google Scholar 

  • Millikan, R. G.: 1984, Language, Thought, and Other Biological Categories, Cambridge, MA, MIT Press.

    Google Scholar 

  • Millikan, R. G.: 1989, ‘Biosemantics’, Journal of Philosophy 86, 281–297.

    Article  Google Scholar 

  • Moore, R. C.: 1985, ‘Semantical Considerations on Non-monotonic Logic’, Artificial Intelligence 25, 75–94.

    Article  Google Scholar 

  • Neander, K.: 1991, ‘Functions as Selected Effects: The Conceptual Analyst's Defense’, Philosophy of Science 58, 168–184.

    Article  Google Scholar 

  • Nilsson, N. J.: 1993, ‘Probabilistic Logic Revisited’, Artificial Intelligence 59, 39–42.

    Article  Google Scholar 

  • Nute. D.: 1994, ‘Defeasible Logic’, in Gabbay (ed.), pp. 353–395.

    Google Scholar 

  • Oppenheim, P. and H. Putnam: 1958, ‘Unity of Science as a Working Hypothesis’, in H. Feigl et al. (eds.), Minnesota Studies in the Philosophy of Science, Vol. II, Mineapolis, University of Minnesota Press, pp. 3–36.

    Google Scholar 

  • Pearl, J.: 1988, Probabilistic Reasoning in Intelligent Systems, Santa Mateo, CA, Morgan Kaufmann.

    Google Scholar 

  • Pearl, J.: 1990, ‘System Z’, Proceedings of Theoretical Aspects of Reasoning about Knowledge, Santa Mateo, CA, pp. 21–135.

    Google Scholar 

  • Pelletier, F. J. and R. Elio: 1997, ‘What Should Default Reasoning Be, By Default?’, Computational Intelligence 13(2), 165–187.

    Article  Google Scholar 

  • Pietroski, P. and G. Rey: 1995, ‘When Other Things Aren’t Equal: Saving Ceteris Paribus Laws from Vacuity’, British Journal for the Philosophy of Science 46, 81–110.

    Article  Google Scholar 

  • Pollock, J.: 1974, Knowledge and Justification, Princeton, Princeton University Press,

    Google Scholar 

  • Poole, D.: 1988, ‘A Logical Framework for Default Reasoning’, Artificial Intelligence 36, 27–47.

    Article  Google Scholar 

  • Poole, D.: 1994, ‘Default Logic’, in Gabbay (ed.), pp. 189–215.

    Google Scholar 

  • Rapaport, A.: 1986, General System Theory, Cambridge, MA, Abacus Press.

    Google Scholar 

  • Reiter, R.: 1980, ‘A Logic for Default Reasoning’, Artificial Intelligence 13, 81–132.

    Article  Google Scholar 

  • Reiter, R.: 1987, ‘Non-monotonic Reasoning’, Annual Review of Computer Science, Vol. 2, Palo Alto, California, pp. 147–186.

    Google Scholar 

  • Rescher, N.: 1976, Plausible Reasoning, Amsterdam, Van Gorcum.

    Google Scholar 

  • Rescher, N.: 1994, Philosophical Standardism, University of Pittsburgh Press.

    Google Scholar 

  • Ridley, M.: 1993, Evolution, Oxford, Blackwell Scientific Publications.

    Google Scholar 

  • Rott, H.: 1997, ‘Drawing Inferences from Conditionals’, in E. Ejerhed and S. Lindström (eds.), Logic, Action and Cognition, Dordrecht, Kluwer, pp. 149–179.

    Google Scholar 

  • Schiffer, S.: 1991, ‘Ceteris Paribus Laws’, Mind 100, 1–17.

    Article  Google Scholar 

  • Schurz, G.: 1994, ‘Probabilistic Justification of Default Reasoning’, in B. Nebel and L. Dreschler-Fischer (eds.), KI-94: Advances of Artificial Intelligence, Berlin, Springer, pp. 248–259.

    Google Scholar 

  • Schurz, G.: 1995a, ‘Theories and their Applications–A Case of Non-monotonic Reasoning’, in W. Herfel et al. (eds.), Theories and Models in Scientific Processes, Amsterdam, Rodopi, pp. 69–293.

    Google Scholar 

  • Schurz, G.: 1995b, ‘Scientific Explanation: A Critical Survey’, Foundation of Science I/3, 29–465.

    Google Scholar 

  • Schurz, G.: 1997a, ‘Probabilistic Default Reasoning Based on Relevance- and Irrelevance Assumptions’, in D. Gabbay et al. (eds.), Qualitative and Quantitative Practical Reasoning (LNAI 1244), Berlin, Springer, pp. 536–553.

    Chapter  Google Scholar 

  • Schurz, G.: 1997b, The Is-Ought Problem. An Investigation in Philosophical Logic, (Studia Logica Library Vol. 1), Dordrecht, Kluwer.

    Google Scholar 

  • Schurz, G.: 1998, ‘Probabilistic Semantics for Delgrande's Conditional Logic and a Counter-example to his Default Logic’, Artificial Intelligence 102, 81–95.

    Article  Google Scholar 

  • Schurz, G.: 2001a, ‘Pietroski and Rey on Ceteris Paribus Laws’, British Journal for the Philosophy of Science 52, 359–370.

    Article  Google Scholar 

  • Schurz, G.: 2001b, ‘What is ‘Normal’? An Evolution-Theoretic Foundation of Normic Laws and their Relation to Statistical Normality’, to appear in Philosophy of Science.

    Google Scholar 

  • Schurz, G.: 2001c, ‘Carnap’s Modal Logic’, in W. Stelzner and M. Stöckler (eds.), Nichtklassische logische Ansätze im übergang von traditioneller zu moderner Logik, Paderborn, Mentis Verlag.

    Google Scholar 

  • Schurz, G.: 2002, ‘Ceteris Paribus Laws: Classification and Deconstruction’, in J. Earman et al. (eds.), Ceteris Paribus Laws, (special volume) Erkenntnis 57(3), 351–372

    Google Scholar 

  • Schurz, G. and E. Adams: 2004, ‘Measure-Entailment and Support in the Logic of Approximate Generalizations’, to appear in E. Adams (ed.), Approximate Generalizations, Stanford, CSLI Press.

    Google Scholar 

  • Schurz, Josef (1990), ‘Prometheus or Expert-Idiot? Changes in Our Understanding Sciences’, Polymer News 15, 232–237.

    Google Scholar 

  • Shoham, Y.: 1988, Reasoning about Chance, Cambridge, MIT Press.

    Google Scholar 

  • Scriven, M.: 1959, ‘Truisms as Grounds for Historical Explanations’, in P. Gardiner (ed.), Theories of History, New York, The Free Press.

    Google Scholar 

  • Silverberg, A.: 1996, ‘Psychological Laws and Non-monotonic Reasoning’, Erkenntnis 44, 199–224.

    Article  Google Scholar 

  • Tan, Y.-H.: 1997, ‘Is Default Logic a Reinvention of Inductive-Statistical Reasoning’, Synthese 110/3, 357–379.

    Article  Google Scholar 

  • Toulmin, S.: 1958, The Uses of Argument, Cambridge, Cambridge University Press.

    Google Scholar 

  • Wachbroit, R.: 1994, ‘Normality as a Biological Concept’, Philosophy of Science 61, 579–591.

    Article  Google Scholar 

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Schurz, G. (2009). Normic Laws, Non-Monotonic Reasoning, and the Unity of Science. In: Rahman, S., Symons, J., Gabbay, D.M., Bendegem, J.P.v. (eds) Logic, Epistemology, and the Unity of Science. Logic, Epistemology, And The Unity Of Science, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2808-3_12

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  • DOI: https://doi.org/10.1007/978-1-4020-2808-3_12

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