Skip to main content
Log in

Scientific understanding and felicitous legitimate falsehoods

  • Themes from Elgin
  • Published:
Synthese Aims and scope Submit manuscript

Abstract

Science is replete with falsehoods that epistemically facilitate understanding by virtue of being the very falsehoods they are. In view of this puzzling fact, some have relaxed the truth requirement on understanding. I offer a factive view of understanding (i.e., the extraction view) that fully accommodates the puzzling fact in four steps: (i) I argue that the question how these falsehoods are related to the phenomenon to be understood and the question how they figure into the content of understanding it are independent. (ii) I argue that the falsehoods do not figure into the understanding’s content by being elements of its periphery or core. (iii) Drawing lessons from case studies, I argue that the falsehoods merely enable understanding. When working with such falsehoods, only the truths we extract from them are elements of the content of our understanding. (iv) I argue that the extraction view is compatible with the thesis that falsehoods can have an epistemic value by virtue of being the very falsehoods they are.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Notes

  1. Understanding language acquisition is an example of so-called objectual understanding. Scientists also want to understand why things are the case. My arguments apply to both forms of understanding. I remain neutral regarding whether understanding why is a form of objectual understanding or vice versa (see, e.g., Grimm 2011; Khalifa 2013; Baumberger and Brun 2017).

  2. I do not address any other arguments against factivism, such as arguments from history against factivism, according to which scientists gained understanding based on theories which turned out to be false (see, e.g., de Regt 2015; de Regt and Gijsbers 2017). For a discussion, see, e.g., Khalifa (2017), ch. 6.2.

  3. I do not use the term ‘idealization’ as an umbrella term for these falsehoods because it might be too narrow. Some scientific falsehoods are claimed to be fictions rather than idealizations (see, e.g., Godfrey-Smith 2009; Frigg 2010; Bokulich 2012; Sugden 2013). And idealizations are often distinguished from abstractions (see, e.g., Jones 2005) or approximations (see, e.g., Norton 2012). For more on idealizations see, e.g., Elliott-Graves and Weisberg (2014), Potochnik (2017).

  4. Another interesting case are falsehoods involved in hypothetical reasoning, such as scientific thought experiments or how-possibly models. I do not consider their characteristics in this paper; but see, e.g., Dray (1957), Grüne-Yanoff (2013), Rohwer and Rice (2013), Sugden (2013), Bokulich (2014), van Riel (2015), Verreault-Julien (2019).

  5. It goes without saying that the notion ‘approximately’ is context-sensitive. One has to specify a proximity range for the value of interest. A value is significantly different if it is not equivalent to the value of interest or within its specified proximity.

  6. Models are typically not identified as falsehoods for at least two reasons. On the one hand, many models are not something that could be true or false. On the other hand, models typically also involve accurate stipulations about their target phenomena.

  7. I thank an anonymous reviewer for emphasizing this point.

  8. Frigg and Nguyen’s representation-as account differs in at least one important respect. According to them, the properties exemplified by a model are typically not the ones that are imputed to the phenomena of interest (Frigg and Nguyen 2018, p. 217). They propose a detailed account of how the exemplified properties are related to the imputed ones via so-called specification keys (cf. Frigg and Nguyen 2018, sect. 5–7).

  9. For more on these and other accounts see, e.g., Suárez (2010), Downes (2011), Frigg and Hartmann (2012).

  10. Some variants of the inferential account conflate these questions when it comes to explanation (see, e.g., Kennedy 2012; Jebeile and Kennedy 2015; Fang 2019). They would thus, arguably, also conflate them when it comes to the content of understanding.

  11. This law is a combination of Boyle’s law, Charles’s law, Gay-Lussac’s law, and Avogadro’s law. There are more refined forms of the law, such as the van der Waals equation, but the differences do not matter for my purposes.

  12. There is more than one veridical counterpart for every distorting falsehood. For instance, the collision frequency of gas molecules can be described to varying degrees of accuracy.

  13. Some argue that the thermodynamic limit is dispensable (e.g., Butterfield 2011; Norton 2012). For some useful discussion see, e.g., Shech (2013, 2017). I take for granted that it is necessary.

  14. Rice considers his view to be a form of factivism (Rice 2016). However, I use the term ‘factivism’ exclusively for views that demand that all propositions be true.

  15. For other explanations why scientists use multiple models for examining the same phenomenon see, e.g., Morrison (1999), Bailer-Jones (2003), Weisberg (2007), Elliott-Graves and Weisberg (2014).

  16. This should not be surprising. It is precisely because idealized models involve distorting falsehoods that they do not provide us with accurate results. For instance, the effect of collisions between gas molecules has some effect on the behavior of the gas.

  17. This argumentative step is also at the heart of Rice’s quasi-factivist view (Rice 2016). He argues that accurately representing the real-world target system in question is not required for understanding.

  18. As Elgin emphasized in conversation, one might separately discuss whether the falsehoods figure into the justification of the understanding’s contents. I do not consider this possibility here. But in light of my arguments against non-factivism, I do not expect that this is the case.

  19. Note that this result is not specific to understanding. It also matters for debates about model explanation, etc.

  20. Recall that the justification question need not collapse into the relation question.

  21. Contra Alexandrova, the information we extract from models is typically not the starting point of working with the model but the end. It is because of the model’s empirical success that we have a good reason to believe that the extracted information holds true for real-world phenomena.

  22. The extraction view is nonetheless substantially different from the non-difference-maker view of scientific falsehoods in at least two respects. (a) According to the extraction view, there is no need for the falsehoods to be rendered harmless. They do not need to point to non-difference makers. It only matters that they are legitimate and that they can be used to extract relevant information. (b) The non-difference-maker view is crucially limited. Strevens assumes that the non-idealized parts of a model describe the difference-makers for the explanatory target and the idealized parts point to non-difference makers (Strevens 2008, p. 318):

    The content of an idealized model, then, can be divided into two parts. The first part contains the difference-makers for the explanatory target. [...] The second part is all idealization; its overt claims are false but its role is to point to parts of the actual world that do not make a difference to the explanatory target

    This account cannot cope with cases where the idealizations are indispensable for extracting the explanatory information. In such cases, the non-idealized parts do not contain all the difference-makers for the phenomenon to be explained. Instead, one extracts information about the relevant difference-makers from the falsehoods. The account can also not cope with cases of falsehoods that distort difference-makers. For examples of both cases see, e.g., Rice (2018). The extraction view can easily cope with these cases.

  23. This metaphor is meant to be compatible with ‘re-using the ladder to reach the top,’ i.e., with re-using the falsehoods to rebuild one’s understanding or to help others understanding the phenomena. I thank an anonymous reviewer for emphasizing this point.

References

  • Alexandrova, A. (2008). Making models count. Philosophy of Science, 75(3), 383–404.

    Google Scholar 

  • Bailer-Jones, D. (2003). When scientific models represent. International Studies in the Philosophy of Science, 17(1), 59–74.

    Google Scholar 

  • Batterman, R. (2002). The devil In the details: Asymptotic reasoning in explanation, reduction, and emergence. Oxford: Oxford University Press.

    Google Scholar 

  • Batterman, R. (2009). Idealization and modeling. Synthese, 169, 427–446.

    Google Scholar 

  • Batterman, R., & Rice, C. (2014). Minimal model explanations. Philosophy of Science, 81(3), 349–376.

    Google Scholar 

  • Baumberger, C., & Brun, G. (2017). Dimensions of objectual understanding. In S. R. Grimm, C. Baumberger, & S. Ammon (Eds.), Explaining understanding: New perspectives from epistemology and philosophy of science (pp. 165–189). London: Routledge.

    Google Scholar 

  • Bokulich, A. (2011). How scientific models can explain. Synthese, 180, 33–45.

    Google Scholar 

  • Bokulich, A. (2012). Distinguishing explanatory from nonexplanatory fictions. Philosophy of Science, 79(5), 33–45.

    Google Scholar 

  • Bokulich, A. (2014). How the tiger bush got its stripes: ‘How possibly’ vs. ‘how actually’ model explanations. The Monist, 97(3), 321–338.

    Google Scholar 

  • Bokulich, A. (2016). Fiction as a vehicle for truth: Moving beyond the ontic conception. The Monist, 99(3), 260–279.

    Google Scholar 

  • Butterfield, J. (2011). Less is different: Emergence and reduction reconciled. Foundations of Physics, 41(6), 1065–1135.

    Google Scholar 

  • Cartwright, N. (1983). How the law of physics lie. Oxford: Clarendon Press.

    Google Scholar 

  • Craver, C. (2014). The ontic account of scientific explanation. In M. Kaiser, O. Scholz, D. Plenge, & A. Hüttemann (Eds.), Explanation in the special sciences. The case of biology and history (pp. 27–52). Berlin: Springer.

    Google Scholar 

  • de Regt, H. (2015). Scientific understanding: Truth or dare? Synthese, 192(12), 3781–3797.

    Google Scholar 

  • de Regt, H., & Gijsbers, V. (2017). How false theories can yield genuine understanding. In S. R. Grimm, C. Baumberger, & S. Ammon (Eds.), Explaining understanding: New perspectives from epistemology and philosophy of science (pp. 50–74). London: Routledge.

    Google Scholar 

  • Downes, S. (2011). Scientific models. Philosophy Compass, 6(11), 757–764.

    Google Scholar 

  • Dray, W. (1957). Laws and explanations in history. Oxford: Oxford University Press.

    Google Scholar 

  • Elgin, C. (2007). Understanding and the facts. Philosophical Studies, 132(1), 33–42.

    Google Scholar 

  • Elgin, C. (2017). True enough. Cambridge: MIT Press.

    Google Scholar 

  • Elgin, M., & Sober, E. (2002). Cartwright on explanation and idealization. Erkenntnis, 57(3), 441–450.

    Google Scholar 

  • Elliott-Graves, A., & Weisberg, M. (2014). Idealization. Philosophy Compass, 9(3), 176–185.

    Google Scholar 

  • Fang, W. (2019). An inferential account of model explanation. Philosophia, 47(1), 99–116.

    Google Scholar 

  • Frigg, R. (2010). Models and fictions. Synthese, 172(1), 251–268.

    Google Scholar 

  • Frigg, R., & Hartmann, S. (2012). Models in science. In: E. N. Zalta (Ed.) The Stanford encyclopedia of philosophy, fall 2012 edn.

  • Frigg, R., & Nguyen, J. (2018). The turn of the valve: Representing with material models. European Journal for Philosophy of Science, 8(2), 205–224.

    Google Scholar 

  • Godfrey-Smith, P. (2009). Models and fictions in science. Philosophical Studies, 143, 101–116.

    Google Scholar 

  • Gordon, E. (2017). Understanding in epistemology. Internet Encyclopedia of Philosophy. https://www.iep.utm.edu/understa/.

  • Greco, J. (2014). Episteme: Knowledge and understanding. In K. Timpe & C. Boyd (Eds.), Virtues and their vices (pp. 287–302). Oxford: Oxford University Press.

    Google Scholar 

  • Grimm, S. (2011). Understanding. In D. Pritchard & S. Bernecker (Eds.), The Routledge companion to epistemology (pp. 84–94). London: Routledge.

    Google Scholar 

  • Grüne-Yanoff, T. (2013). Genuineness resolved: A reply to Reiss’ purported paradox. Journal of Economic Methodology, 20(3), 255–261.

    Google Scholar 

  • Hughes, R. (1997). Models and representation. Philosophy of Science, 64, 325–336.

    Google Scholar 

  • Jebeile, J., & Kennedy, A. (2015). Explaining with models: The role of idealizations. International Studies in the Philosophy of Science, 29(4), 383–392.

    Google Scholar 

  • Jones, M. (2005). Idealization and abstraction: A framework. In M. Jones & N. Cartwright (Eds.), Idealization XII: Correcting the Model. Idealization and Abstraction in the Sciences (pp. 173–217). Amsterdam: Rodopi.

    Google Scholar 

  • Kennedy, A. (2012). A non representationalist view of model explanation. Studies in History and Philosophy of Science, 43(2), 326–332.

    Google Scholar 

  • Khalifa, K. (2013). Is understanding explanatory or objectual? Synthese, 190(6), 1153–1171.

    Google Scholar 

  • Khalifa, K. (2017). Understanding, explanation, and scientific knowledge. Cambridge: Cambridge University Press.

    Google Scholar 

  • Knuuttila, T. (2011). Modelling and representing: An artefactual approach to model-based representation. Studies in History and Philosophy of Science, Part A, 42(2), 262–271.

    Google Scholar 

  • Knuuttila, T., & Boon, M. (2011). How do models give us knowledge? The case of Carnot’s ideal heat engine. European Journal for Philosophy of Science, 1, 309–334.

    Google Scholar 

  • Kvanvig, J. (2003). The value of knowledge and the pursuit of understanding. Cambridge: Cambridge University Press.

    Google Scholar 

  • Massey, B., & Ward-Smith, A. (2006). Mechanics of fluids. Boca Raton: CRC Press.

    Google Scholar 

  • McMullin, E. (1985). Galilean idealization. Studies in History and Philosophy of Science, 16, 247–273.

    Google Scholar 

  • Mizrahi, M. (2012). Idealizations and scientific understanding. Philosophical Studies, 160(2), 237–252.

    Google Scholar 

  • Morrison, M. (1999). Models and mediators. Cambridge: Cambridge University Press.

    Google Scholar 

  • Morrison, M. (2009). Understanding in physics and biology. In H. de Regt, S. Leonelli, & K. Eigner (Eds.), Scientific understanding: Philosophical perspectives (pp. 123–145). Pittsburgh: University of Pittsburgh Press.

    Google Scholar 

  • Norton, J. (2012). Approximations and idealizations: Why the difference matters. Philosophy of Science, 79, 207–232.

    Google Scholar 

  • Parker, G., & Smith, M. (1990). Optimality theory in evolutionary biology. Nature, 348(6296), 27–33.

    Google Scholar 

  • Pincock, C. (2014). How to avoid inconsistent idealizations. Synthese, 191, 2957–2972.

    Google Scholar 

  • Potochnik, A. (2007). Optimality modeling and explanatory generality. Philosophy of Science, 74(5), 680–6915.

    Google Scholar 

  • Potochnik, A. (2009). Optimality modeling in a suboptimal world. Biology and Philosophy, 24(2), 183–197.

    Google Scholar 

  • Potochnik, A. (2010). Explanatory independence and epistemic interdependence: A case study of the optimality approach. The British Journal for the Philosophy of Science, 61(1), 213–233.

    Google Scholar 

  • Potochnik, A. (2017). Idealization and the aims of science. Chicago: University of Chicago Press.

    Google Scholar 

  • Rancourt, B. (2017). Better understanding through falsehood. Pacific Philosophical Quarterly, 98, 382–405.

    Google Scholar 

  • Reiss, J. (2012). The explanation paradox. Journal of Economic Methodology, 19(1), 43–62.

    Google Scholar 

  • Reiss, J. (2013). The explanation paradox redux. Journal of Economic Methodology, 20(3), 280–292.

    Google Scholar 

  • Rice, C. (2012). Optimality explanations: A plea for an alternative approach. Biology & Philosophy, 27, 685–703.

    Google Scholar 

  • Rice, C. (2016). Factive scientific understanding without accurate representation. Biology & Philosophy, 31(1), 81–102.

    Google Scholar 

  • Rice, C. (2018). Idealized models, holistic distortions, and universality. Synthese, 195(6), 2795–2819.

    Google Scholar 

  • Rice, C. (2019). Models don’t decompose that way: A holistic view of idealized models. The British Journal for the Philosophy of Science, 70(1), 179–208.

    Google Scholar 

  • Rohwer, Y., & Rice, C. (2013). Hypothetical pattern idealization and explanatory models. Philosophy of Science, 80(3), 334–355.

    Google Scholar 

  • Rohwer, Y., & Rice, C. (2016). How are models and explanations related? Erkenntnis, 81, 1127–1148.

    Google Scholar 

  • Schmid-Hempel, P., Kacelnik, A., & Houston, A. (1985). Honeybees maximize efficiency by not filling their crop. Beahavioral Ecology and Sociobiology, 17, 61–66.

    Google Scholar 

  • Shech, E. (2013). What is the paradox of phase transitions? Philosophy of Science, 80(5), 1170–1181.

    Google Scholar 

  • Shech, E. (2017). Idealizations, essential self-adjointness, and minimal model explanation in the Aharonov–Bohm effect. Synthese online first.

  • Strevens, M. (2008). Depth: An account of scientific explanation. Cambridge: Harvard University Press.

    Google Scholar 

  • Strevens, M. (2017). How idealizations provide understanding. In S. R. Grimm, C. Baumberger, & S. Ammon (Eds.), Explaining understanding: New perspectives from epistemology and philosophy of science (pp. 37–48). London: Routledge.

    Google Scholar 

  • Suárez, M. (2002). An inferential conception of scientific representation. Philosophy of Science, 71(5), 767–779.

    Google Scholar 

  • Suárez, M. (2010). Scientific representation. Philosophy Compass, 5(1), 91–101.

    Google Scholar 

  • Sugden, R. (2013). How fictional accounts can explain. Journal of Economic Methodology, 20(3), 237–243.

    Google Scholar 

  • Sullivan, E., & Khalifa, K. (2018). Idealizations and understanding: Much ado about nothing? Australian Journal of Philosophy (forthcoming)

  • Toon, A. (2012). Models as make-believe: Imagination, fiction, and scientific representation. London: Palgrave-Macmillan.

    Google Scholar 

  • van Riel, R. (2015). The content of model-based information. Synthese, 192(12), 3839–3858.

    Google Scholar 

  • Verreault-Julien, P. (2019). How could models possibly provide how-possibly explanations? Studies in History and Philosophy of Science Part A, 73, 22–33.

    Google Scholar 

  • Wayne, A. (2011). Expanding the scope of explanatory idealization. Philosophy of Science, 78(5), 830–841.

    Google Scholar 

  • Weisberg, M. (2007). Three kinds of idealization. The Journal of Philosophy, 104(12), 639–659.

    Google Scholar 

Download references

Acknowledgements

Discussions with colleagues and advisors contributed to shaping the view that I defend in this article. I’m grateful to (in alphabetical order) Christoph Baumberger, Jochen Briesen and his students, Henk de Regt, Finnur Dellsén, Anna-Maria Asunta Eder, Catherine Elgin, Benjamin Feintzeig, Roman Frigg, Philipp Haueis, Christoph Jäger, Marie I. Kaiser, Kareem Khalifa, Federica Malfatti, Christian Nimtz, Thomas Spitzley, Michael Strevens, Emily Sullivan, Raphael van Riel, Kate Vredenburgh, and the participants of Thomas Spitzley’s and Christian Nimtz’s research groups. I also thank the audiences in Aarhus, Atlanta, Barcelona, Bochum, Bordeaux, Exeter, Ghent, Greensboro, Innsbruck, Pärnu, and Seattle, as well as three anonymous reviewers for their constructive criticisms and suggestions.

Funding

I gratefully acknowledge that part of my research for this article was funded by the Volkswagen Foundation for the project ’A Study in Explanatory Power’, by the German Academic Exchange Service (DAAD) for a research stay at the New York University (2015–2016), by the OeAD for an Ernst Mach Scholarship, and by an Emmy Noether Grant from the German Research Council (DFG), Reference No. BR 5210/1-1.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Insa Lawler.

Ethics declarations

Conflict of interest

The author declares that she has no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lawler, I. Scientific understanding and felicitous legitimate falsehoods. Synthese 198, 6859–6887 (2021). https://doi.org/10.1007/s11229-019-02495-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11229-019-02495-0

Keywords

Navigation