The use of idealized scientific theories in explanations of empirical facts and regularities is problematic in two ways: they don’t satisfy the condition that the explanans is true, and they may fail to entail the explanandum. An attempt to deal with the latter problem was proposed by Hempel and Popper with their notion of approximate explanation. A more systematic perspective on idealized explanations was developed with the method of idealization and concretization by the Poznan school (Nowak, Krajewski) in the 1970s. If idealizational laws are treated as counterfactual conditionals, they can be true or truthlike, and the concretizations of such laws may increase their degree of truthlikeness. By replacing Hempel’s truth requirement with the condition that an explanatory theory is truthlike one can distinguish several important types of approximate, corrective, and contrastive explanations by idealized theories. The conclusions have important consequences for the debates about scientific realism and anti-realism.
Bokulich, Alisa (2012), “Distinguishing Explanatory from Nonexplanatory Fictions”, Philosophy of Science 79, 725–737.
Bokulich, Alisa (2017), “Models and Explanation”, in Lorenzo.Magnani and Tommaso Bertolotti (eds.), Springer Handbook of Model-Based Science, Springer, Dordrecht, 103–118.
Brzezinski, Jerzy et al. (eds) (2007), The Courage of Doing Philosophy: Essays Presented to Leszek Nowak, Rodopi, Amsterdam.
Cartwright, Nancy (1983), How the Laws of Physics Lie, Clarendon Press, Oxford.
Cevolani, Gustavo, Crupi, Vicenzo & Festa, Roberto (2011), “Verisimilitude and Belief Change for Conjunctive Theories”, Erkenntnis 75, 183–202.
Craver, Carl E. (2006). “When Mechanistic Models Explain”. Synthese 153, 355–376.
Duhem, Pierre (1954), The Aim and Structure of Physical Theory, Princeton University Press, Princeton.
Frigg, Roman, Bradley, Seamus, Machete, Reason & Smith, Leonard (2013), “Probabilistic Forecasting: Why Model Imperfection Is a Poison Pill”, in Hanne Andersen et al. (eds.), New Challenges to Philosophy of Science, Springer, Dordrecht, 479–491.
Hempel, Carl G. (1965), Aspects of Scientific Explanation, The Free Press, New York.
Hempel, Carl G. (1966), Philosophy of Natural Science, Prentice-Hall, Englewood Cliffs.
Hindriks, Frank (2008), “False Models as Explanatory Engines”, Philosophy of the Social Sciences 38, 334–360.
Hindriks, Frank (2013), “Explanation, Understanding, and Unrealistic Models”, Studies in History and Philosophy of Science 44, 523–531.
Krajewski, Wladislaw (1977), Correspondence Principle and the Growth of Knowledge, D. Reidel, Dordrecht.
Kuipers, Theo (2000), From Instrumentalism to Constructive Realism, Kluwer, Dordrecht.
Lange, Marc (2015), “On ‘Minimal Model Explanations’: A Reply to Batterman and Rice”, Philosophy of Science 82, 292–305.
Liu, Chang (1999), “Approximation, Idealization, and Laws of Nature”, Synthese 118, 229–256.
Mäki, Uskali (1994), “Isolation, Idealization and Truth in Economics”, in Bert Hamminga and Neil De Marchi (eds.), Idealization in Economics, Rodopi, Amsterdam, 147–168.
Mäki, Uskali (2009), “MISSing the World: Models as Isolations and Credible Surrogate Systems”, Erkenntnis 70, 29–43.
McMullin, Ernan (1985), “Galilean Idealizations”, Studies in History and Philosophy of Science 16, 247–273.
Niiniluoto, Ilkka (1987), Truthlikeness, D. Reidel, Dordrecht.
Niiniluoto, Ilkka. (1989), “Theories, Approximations, Idealizations”, in Jerzy Brzezinski et al. (eds.), Idealization I: General Problems, Rodopi, Amsterdam, 9–57.
Niiniluoto, Ilkka (1999), Critical Scientific Realism, Oxford University Press, Oxford.
Niiniluoto, Ilkka (2002), “Truthlikeness and Economic Theories”, in Uskali Mäki (ed.), Fact and Fiction in Economics: Models, Realism, and Social Construction, Cambridge University Press, Cambridge, 214–228,
Niiniluoto, Ilkka (2005), “Abduction and Truthlikeness”, in Roberto Festa et al. (eds.), Confirmation, Empirical Progress, and Truth Approximation, Rodopi, Amsterdam, 255–275.
Niiniluoto, Ilkka (2013), “Models, Simulations, and Analogical Inference”, in Vassilios Karakostas & Dennis Dieks (eds.), EPSA11 Perspectives and Foundational Problems in Philosophy of Science, Springer International, Cham, 19–27.
Nowak, Leszek (1971), “The Problem of Explanation in Karl Marx’s Capital”, Quality and Quantity 5, 311–330.
Nowak, Leszek (1972), “Laws of Science, Theories, and Measurement”, Philosophy of Science 39, 533–548.
Nowak, Leszek (1980), The Structure of Idealization: Towards a Systematic Interpretation of the Marxian Idea of Science, D. Reidel, Dordrecht.
Peirce, Charles S. (1931–35), Collected Papers 1–6, ed. by C. Hartshorne and P. Weiss, Harvard University Press, Cambridge, MA: (CP)
Popper, Karl R. (1972), Objective Knowledge: An Evolutionary Account, Clarendon Press, Oxford.
Rohwer, Yasha & Rice, Collin (2013), “Hypothetical Pattern Idealization and Explanatory Models”, Philosophy of Science 80, 334–355.
Rudner, Richard (1966), Philosophy of Social Science, Prentice-Hall, Englewood Cliffs.
Rueger, Alexander & Sharp, W. David (1996), “Simple Theories of a Messy World: Truth and Explanatory Power in Nonlinear Dynamics”, The British Journal for the Philosophy of Science 47, 93–112.
Salmon, Wesley C. (1984), Scientific Explanation and the Causal Structure of the World, Princeton University Press, Princeton.