Abstract
In this article, we reflect on the use of formal methods in the philosophy of science. These are taken to comprise not just methods from logic broadly conceived, but also from other formal disciplines such as probability theory, game theory, and graph theory. We explain how formal modelling in the philosophy of science can shed light on difficult problems in this domain.
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References
Adams, E., A Primer on Probability Logic, CSLI Publications, 1998.
Andreka, H., J. Madarasz, I. Nemeti, and G. Szekely, ‘Axiomatic Relativistic Dynamics without Conservation Postulates’. This issue.
Ayer, A.J., Language, Truth and Logic, Penguin, 1936.
Barwise, J. (ed.), Handbook of Mathematical Logic, North-Holland, 1977.
Bicchieri C., Duffy J. and Tolle G. (2004). ‘Trust among Strangers’. Philosophy of Science 71: 286–319
Bovens, L., and S. Hartmann, Bayesian Epistemology, Oxford University Press, 2003.
Burks A. (1953). ‘The Presupposition Theory of Induction’. Philosophy of Science 20: 177–197
Carnap, R., Der logische Aufbau der Welt, Bernary, 1928.
Carnap, R., Logical Foundations of Probability, Chicago University Press, 1950.
Carnap, R., ‘A Basic System of Inductive Logic’, Part II, in R. Jeffrey (ed.), Studies in Inductive Logic and Probability (Vol. 2), Univ. of California Press, 1980, pp. 7–156.
Douven I. and Horsten L. (1998). ‘Earman on Underdetermination and Empirical Indistinguishability’. Erkenntnis 49: 303–320
Douven I. and Meijs W. (2007). ‘Measuring Coherence’. Synthese 156: 405–425
Douven I. and Romeijn J.-W. (2007). ‘The Discursive Dilemma as a Lottery Paradox’. Economics and Philosophy 23: 301–319
Earman, J., A Primer on Determinism, Reidel, 1986.
Earman, J., Bayes or Bust?, The MIT Press, 1992.
Eells, E., Probabilistic Causality, Cambridge University Press, 1991.
Feigl, H., Scientific Method Without Metaphysical Presuppositions. Reprinted in R. Cohen (ed.), Herbert Feigl. Inquiries and Provocations. Selected Writings 1929–1974, Reidel, 1981, pp. 95–106.
Fitelson B. (2003). ‘A Probabilistic Theory of Coherence’. Analysis 63: 194–199
Frege, G., Begriffschrift. Eine der arithmetischen nachgebildeter Formelsprache des reinen Denkens, Louis Nebert, 1879.
Goodman, N., Fact, Fiction and Forecast, The Athlone Press, 1954.
Hempel, C., ‘Studies in the Logic of Confirmation’, Mind 54 (1945), 1–26, 97–121.
Hempel C. and Oppenheim P. (1948). ‘Studies in the Logic of Explanation’. Philosophy of Science 15: 135–175
Hilbert, D., Grundlagen der Geometrie. Teubner, 1899.
Horsten, L., ‘Impredicative Identity Criteria’, Philosophy and Phenomenological Research, forthcoming.
Howson, C., Hume’s Problem, Clarendon Press, 2000.
Kelly, K., The Logic of Reliably Enquiry, Oxford University Press, 1996.
Kuhn, Th., The Structure of Scientific Revolutions, University of Chicago Press, 1962.
Lakatos, I., ‘Falsification and the Methodology of Scientific Research’, in I. Lakatos and A. Musgrave (eds.), Criticism and the Growth of Knowledge, Cambridge University Press, 1970, 91–195.
Lehtinen A. and Kuorikoski J. (2007). ‘Computing the Perfect Model: Why Do Economists Shun Simulation?’. Philosophy of Science 74: 304–329
Lewis, D., Convention, Blackwell, 1969.
Lewis D. (1973). ‘Causation’. Journal of Philosophy 70: 556–567
Lewis, D., Counterfactuals, Blackwell, 1973.
List C. and Pettit P. (2002). Aggregating Sets of Judgements: An Impossibility Result. Economics and Philosophy 18: 89–110
Mackie, J., The Cement of the Universe: A Study of Causation. Oxford University Press, 1974.
Mikkelson G. (2006). ‘Realism versus Instrumentalism in a New Statistical Framework’. Philosophy of Science 73: 440–447
Myrvold W. (2003). ‘A Bayesian Account of the Virtue of Unification’. Philosophy of Science 70: 399–423
Oaksford, M., and N. Chater, Bayesian Rationality: The Probabilistic Approach to Human Reasoning, Oxford University Press, 2007.
Olsson, E.J., Against Coherence, Oxford University Press, 2005.
Pauly M. and van Hees M. (2006). ‘Logical Constraints on Judgement Aggregation’. Journal of Philosophical Logic 35: 569–585
Pearl, J., Causality, Cambridge University Press, 2000.
Popper, K.R., The Logic of Scientific Discovery, Hutchinson, 1959.
Russell, B., On Our Knowledge of the External World, Allen and Unwin, 1914.
Russell, B., Logical Atomism, 1924. Reprinted in R. C. Smith (ed.), Bertrand Russell. Logic and Knowledge. Essays 1901–1950, Allen and Unwin, 1956, pp. 323–343.
Russell, B., and A. Whitehead, Principia Mathematica, Cambridge University Press, 1912.
Salmon, W., Four Decades of Scientific Explanation, University of Minnesota Press, 1989.
Schupbach J. (2005). ‘On a Bayesian Analysis of the Virtue of Unification’. Philosophy of Science 72: 594–607
Suppes P. (1968). ‘The Desirability of Formalization in Science’. Journal of Philosophy 65: 651–664
Vanderschraaf P. and Alexander J. M. (2005). ‘Follow the Leader: Interactions with Influence Neigborhoods’. Philosophy of Science 72: 86–113
Wang H. (1955). ‘On Formalization’. Mind 64: 226–238
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Horsten, L., Douven, I. Formal Methods in the Philosophy of Science. Stud Logica 89, 151–162 (2008). https://doi.org/10.1007/s11225-008-9129-2
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DOI: https://doi.org/10.1007/s11225-008-9129-2