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Beyond Uncertainty

Reasoning with Unknown Possibilities

Published online by Cambridge University Press:  14 August 2021

Katie Steele
Affiliation:
Australian National University, Canberra
H. Orri Stefánsson
Affiliation:
Stockholms Universitet

Summary

The main aim of this Element is to introduce the topic of limited awareness, and changes in awareness, to those interested in the philosophy of decision-making and uncertain reasoning. While it has long been of interest to economists and computer scientists, this topic has only recently been subject to philosophical investigation. Indeed, at first sight limited awareness seems to evade any systematic treatment: it is beyond the uncertainty that can be managed. On the one hand, an agent has no control over what contingencies she is and is not aware of at a given time, and any awareness growth takes her by surprise. On the other hand, agents apparently learn to identify the situations in which they are more and less likely to experience limited awareness and subsequent awareness growth. How can these two sides be reconciled? That is the puzzle we confront in this Element.
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Online ISBN: 9781108582230
Publisher: Cambridge University Press
Print publication: 09 September 2021

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Bibliography

Anscombe, F. J. and Aumann, R. J. (1963). A definition of subjective probability. Annals of Mathematical Statistics 34(1), 199205.CrossRefGoogle Scholar
Arntzenius, F. (2008). No regrets, or: Edith Piaf revamps decision theory. Erkenntnis 68(2), 277–97.CrossRefGoogle Scholar
Bolker, E. D. (1967). A simultaneous axiomatisation of utility and subjective probability. Philosophy of Science 34(4), 333–40.Google Scholar
Bradley, R. (2005). Radical probabilism and Bayesian conditioning. Philosophy of Science 72(2), 342–64.CrossRefGoogle Scholar
Bradley, R. (2017). Decision Theory with a Human Face. Cambridge University Press.Google Scholar
Bradley, S. (2019). Imprecise probabilities. In E. Zalta (ed.), Stanford Encyclopedia of Philosophy. https://plato.stanford.edu/entries/imprecise-probabilities/.Google Scholar
Briggs, R. A. (2009). Distorted reflection. Philosophical Review 118(1), 5985.CrossRefGoogle Scholar
Briggs, R. A. (2017). Normative theories of rational choice: Expected utility. In E. Zalta (ed.), Stanford Encyclopedia of Philosophy. https://plato.stanford.edu/entries/rationality-normative-utility/.Google Scholar
Bryant, B. P. and Lempert, R. J. (2010). Thinking inside the box: A participatory, computer-assisted approach to scenario discovery. Technological Forecasting and Social Change 77(1), 3449.Google Scholar
Buchak, L. (2013). Risk and Rationality. Oxford University Press.Google Scholar
Bykvist, K. and Stefánsson, H. O. (2017). Epistemic transformation and rational choice. Economics and Philosophy 33(1), 125–38.Google Scholar
de Canson, C. (ms.). The nature of awareness growth.Google Scholar
Diaconis, P. and Zabell, S. L. (1982). Updating subjective probability. Journal of the American Statistical Association 77(380), 822–30.CrossRefGoogle Scholar
Dominiak, A. and Tserenjigmid, G. (2018). Ambiguity under growing awareness. Available at SSRN: https://ssrn.com/abstract=3247761 or http://dx.doi.org/10.2139/ssrn.3247761.Google Scholar
Earman, J. (1992). Bayes or Bust? A Critical Examination of Bayesian Confirmation Theory. MIT Press.Google Scholar
Fagin, R. and Halpern, J. Y. (1987). Belief, awareness, and limited reasoning. Artificial Intelligence 34(1), 3976.Google Scholar
Gilboa, I. and Schmeidler, D. (1995). Case-based decision theory. Quarterly Journal of Economics 110(3), 605–39.CrossRefGoogle Scholar
Gilboa, I. and Schmeidler, D. (2001). A Theory of Case-Based Decisions. Cambridge University Press.CrossRefGoogle Scholar
Glymour, C. (1980). Why I am not a Bayesian. In C. Glymour (ed.), Theory and Evidence, pp. 63–93. Princeton University Press.Google Scholar
Grant, S. and Quiggin, J. (2013a). Bounded awareness, heuristics and the precautionary principle. Journal of Economic Behavior & Organization 93(C), 1731.Google Scholar
Grant, S. and Quiggin, J. (2013b). Inductive reasoning about unawareness. Economic Theory 54(3), 717–55.Google Scholar
Groves, D. G. and Lempert, R. J. (2007). A new analytic method for finding policy-relevant scenarios. Global Environmental Change 1 7(1), 7385.Google Scholar
Hájek, A. (2003). What conditional probability could not be. Synthese 137(3), 273323.Google Scholar
Hájek, A. Omega. Unpublished manuscript.Google Scholar
Hansson, S. O. (2009). From the casino to the jungle. Synthese 168(3), 423–32.CrossRefGoogle Scholar
Hedden, B. (2015). Reasons Without Persons: Rationality, Identity, and Time. Oxford University Press.Google Scholar
Heifetz, A., Meier, M., and Schipper, B. (2006). Interactive unawareness. Journal of Economic Theory 130(1), 7894.Google Scholar
Heifetz, A., Meier, M., and Schipper, B. C. (2008). A canonical model for interactive unawareness. Games and Economic Behavior 62(1), 304–24.CrossRefGoogle Scholar
Henderson, L., Goodman, N. D., Tenenbaum, J. B., and Woodward, J. F. (2010). The structure and dynamics of scientific theories: A hierarchical Bayesian perspective. Philosophy of Science 77(2), 172200.Google Scholar
Hill, B. (2010). Awareness dynamics. Journal of Philosophical Logic 39(2), 113–37.Google Scholar
Jeffrey, R. (1965). The Logic of Decision. University of Chicago Press.Google Scholar
Joyce, J. M. (1998). A nonpragmatic vindication of progabilism. Philosophy of Science 65(4), 575603.Google Scholar
Joyce, J. M. (1999). The Foundations of Causal Decision Theory. Cambridge University Press.Google Scholar
Karni, E. and Vierø, M.-L. (2013). ‘Reverse Bayesianism’: A choice-based theory of growing awareness. American Economic Review 103(7), 2790–810.Google Scholar
Karni, E. and Vierø, M.-L. (2015). Probabilistic sophistication and reverse Bayesianism. Journal of Risk and Uncertainty 50(3), 189208.Google Scholar
Karni, E. and Vierø, M.-L. (2017). Awareness of unawareness: A theory of decision making in the face of ignorance. Journal of Economic Theory 168, 301–25.Google Scholar
Kuhn, T. S. (1962). The Structure of Scientific Revolutions. University of Chicago Press.Google Scholar
Maher, P. (1995). Probabilities for new theories. Philosophical Studies 77(1), 103–15.Google Scholar
Mahtani, A. (2020). Awareness growth and dispositional attitudes. Synthese, 117.Google Scholar
McClennen, E. F. (1990). Rationality and Dynamic Choice: Foundational Explorations. Cambridge University Press.Google Scholar
Nakicenovic, N., et al. (2000). Special report on emissions scenarios: A special report of Working Group III of the Intergovernmental Panel on Climate Change. Cambridge University Press.Google Scholar
Paul, L. A. (2014). Transformative Experience. Oxford University Press.Google Scholar
Pettigrew, R. (2020). Dutch Book Arguments. Cambridge University Press.Google Scholar
Piermont, E. (2017). Introspective unawareness and observable choice. Games and Economic Behavior 106(C), 134–52.CrossRefGoogle Scholar
Quiggin, J. (2016). The value of information and the value of awareness. Theory and Decision 80(2), 167–85.Google Scholar
Ramsey, F. P. (1990/1926). Truth and probability. In Mellor, D. H. (ed.), Philosophical Papers, pp. 5294. Cambridge University Press.Google Scholar
Roussos, J. (2020). Policymaking under scientific uncertainty. PhD thesis, London School of Economics and Political Science.Google Scholar
Savage, L. (1954). The Foundations of Statistics. John Wiley & Sons.Google Scholar
Schipper, B. C. (2015). Awareness. In H. van Ditmarsch, Halpern, J. Y., W. van der Hoek, and B. Kooi (eds.), Handbook of Epistemic Logic, pp. 77–146. College Publications.Google Scholar
Schwartz, P. (1996). The Art of the Long View: Planning in an Uncertain World. Currency-Doubleday.Google Scholar
Shimony, A. (1970). Scientific inference. In R. Colodny (ed.), The Nature and Function of Scientific Theories, pp. 79172. University of Pittsburgh Press.Google Scholar
Stalnaker, R. (1984). Inquiry. MIT Press.Google Scholar
Steele, K. (2010). What are the minimal requirements of rational choice? Arguments from the sequential-decision setting. Theory and Decision 68(4), 463–87.Google Scholar
Steele, K. (2018). Dynamic decision theory. In Hansson, S. O. and Hendricks, V. F. (eds.), Introduction to Formal Philosophy, pp. 657–67. Springer.CrossRefGoogle Scholar
Steele, K. and Stefánsson, H. O. (2015). Decision theory. In E. Zalta (ed.), Stanford Encyclopedia of Philosophy. https://plato.stanford.edu/entries/decision-theory/.Google Scholar
Stefánsson, H. O. and R. Bradley (2019). What is risk aversion? British Journal for the Philosophy of Science 70(1), 77102.CrossRefGoogle Scholar
Titelbaum, M. G. (2012). Quitting Certainties: A Bayesian Framework Modeling Degrees of Belief. Oxford University Press.Google Scholar
Vallinder, A. (2018). Bayesian variations: essays on the structure, object, and dynamics of Credence. PhD thesis, London School of Economics and Political Science.Google Scholar
van Fraassen, B. C. (1984). Belief and the will. Journal of Philosophy 81(5), 235–56.Google Scholar
Vineberg, S. (2011). Dutch book arguments. In E. Zalta (ed.), Stanford Encyclopedia of Philosophy.Google Scholar
von Neumann, J. and Morgenstern, O. (1947). Games and Economic Behavior (2nd edn). Princeton University Press.Google Scholar
Walker, O. and Dietz, S. (2011). A representation result for choice under conscious unawareness. Grantham Research Institute on Climate Change and the Environment Working Paper No. 59.Google Scholar
Wenmackers, S. and Romeijn, J. (2016). New theory about old evidence. Synthese 193(4), 1225–50.Google Scholar
Wittgenstein, L. (1922). Tractatus Logico-Philosophicus. Kegan Paul.Google Scholar
Zabell, S. L. (1992). Predicting the unpredictable. Synthese 90(2), 205–32.Google Scholar

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