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Two Attempts to Formalize Counterpossible Reasoning in Deterministic Settings

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9205))

Abstract

This paper motivates the study of counterpossibles (logically impossible counterfactuals) as necessary for developing a decision theory suitable for generally intelligent agents embedded within their environments. We discuss two attempts to formalize a decision theory using counterpossibles, one based on graphical models and another based on proof search.

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References

  1. Bar-Hillel, M., Margalit, A.: Newcomb’s paradox revisited. British Journal for the Philosophy of Science 23(4), 295–304 (1972). http://www.jstor.org/stable/686730

    Article  Google Scholar 

  2. Benson-Tilsen, T.: UDT with known search order. Tech. Rep. 2014–4, Machine Intelligence Research Institute (2014). http://intelligence.org/files/UDTSearchOrder.pdf

  3. Cohen, D.: On what cannot be. In: Dunn, J., Gupta, A. (eds.) Truth or Consequences, pp. 123–132. Kluwer (1990)

    Google Scholar 

  4. Dai, W.: Towards a new decision theory. Less Wrong (2009). http://lesswrong.com/lw/15m/towards_a_new_decision_theory/

  5. Gibbard, A., Harper, W.L.: Counterfactuals and two kinds of expected utility. In: Hooker, C.A., Leach, J.J., McClennen, E.F. (eds.) Foundations and Applications of Decision Theory, The Western Ontario Series in Philosophy of Science, vol. 13a. D. Reidel (1978)

    Google Scholar 

  6. Jeffrey, R.C.: The Logic of Decision, 2 edn. Chicago University Press (1983)

    Google Scholar 

  7. Lehmann, E.L.: Some principles of the theory of testing hypotheses. Annals of Mathematical Statistics 21(1), 1–26 (1950)

    Article  MathSciNet  Google Scholar 

  8. Lewis, D.: Prisoners’ dilemma is a Newcomb problem. Philosophy & Public Affairs 8(3), 235–240 (1979). http://www.jstor.org/stable/2265034

    Google Scholar 

  9. Lewis, D.: Causal decision theory. Australasian Journal of Philosophy 59(1), 5–30 (1981)

    Article  Google Scholar 

  10. Lewis, D.: Why ain’cha rich? Noûs 15(3), 377–380 (1981). http://www.jstor.org/stable/2215439

    Article  Google Scholar 

  11. Nozick, R.: Newcomb’s problem and two principles of choice. In: Rescher, N. (ed.) Essays in Honor of Carl G. Hempel, pp. 114–146. No. 24 in Synthese Library, D. Reidel (1969)

    Google Scholar 

  12. Pearl, J.: Causality, 1 edn. Cambridge University Press (2000)

    Google Scholar 

  13. Von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior, 1 edn. Princeton University Press (1944)

    Google Scholar 

  14. Yudkowsky, E.: Timeless decision theory. Tech. rep., The Singularity Institute, San Francisco, CA (2010). http://intelligence.org/files/TDT.pdf

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Correspondence to Nate Soares .

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Soares, N., Fallenstein, B. (2015). Two Attempts to Formalize Counterpossible Reasoning in Deterministic Settings. In: Bieger, J., Goertzel, B., Potapov, A. (eds) Artificial General Intelligence. AGI 2015. Lecture Notes in Computer Science(), vol 9205. Springer, Cham. https://doi.org/10.1007/978-3-319-21365-1_17

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  • DOI: https://doi.org/10.1007/978-3-319-21365-1_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21364-4

  • Online ISBN: 978-3-319-21365-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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