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Information, possible worlds and the cooptation of scepticism

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Abstract

The article investigates the sceptical challenge from an information-theoretic perspective. Its main goal is to articulate and defend the view that either informational scepticism is radical, but then it is epistemologically innocuous because redundant; or it is moderate, but then epistemologically beneficial because useful. In order to pursue this cooptation strategy, the article is divided into seven sections. Section 1 sets up the problem. Section 2 introduces Borel numbers as a convenient way to refer uniformly to (the data that individuate) different possible worlds. Section 3 adopts the Hamming distance between Borel numbers as a metric to calculate the distance between possible worlds. In Sects. 4 and 5, radical and moderate informational scepticism are analysed using Borel numbers and Hamming distances, and shown to be either harmless (extreme form) or actually fruitful (moderate form). Section 6 further clarifies the approach by replying to some potential objections. In the conclusion, the Peircean nature of the overall approach is briefly discussed.

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References

  • Abelard, P. (1976). In B. B. Boyer & R. McKeon (Eds.), Sic Et Non: A critical edition, Chicago, London: University of Chicago Press.

  • Bar-Hillel Y. (1951) A note on state-descriptions. Philosophical Studies 2(5): 72–75

    Article  Google Scholar 

  • Bar-Hillel Y. (1964) Language and information: Selected essays on their theory and application. Addison-Wesley, Reading, MA/London

    Google Scholar 

  • Bar-Hillel, Y., & Carnap, R. (1953). An outline of a theory of semantic information. (Reprinted in Bar-Hillel 1964, pp. 221–274)

  • Borel É. (1927) A Propos De La Recente Discussion Entre M. R. Wavre Et M. P. Levy. Revue de Métaphysique et de Morale 34: 271–276

    Google Scholar 

  • Carnap R. (1951) The problem of relations in inductive logic. Philosophical Studies 2(5): 75–80

    Article  Google Scholar 

  • Chaitin G. J. (2006) Meta maths: The quest for omega. Atlantic, London

    Google Scholar 

  • D’Agostino M., Floridi L. (2009) The enduring scandal of deduction. Is propositional logic really uninformative?. Synthese 167(2): 271–315

    Article  Google Scholar 

  • Dalal, M. (1988). Investigations into a theory of knowledge base revision: Preliminary report. In Proceedings of the seventh national conference on artificial intelligence (AAAI-88) (pp. 475–479). Minnesota: St. Paul.

  • Descartes, R. (1984). The philosophical writings of Descartes. (Vol. 3) (J. Cottingham, R. Stoothoff, & D. Murdoch, Trans.). Cambridge: Cambridge University Press.

  • Deza M. M., Deza E. (2009) Encyclopedia of distances. Springer, New York

    Book  Google Scholar 

  • Ernvall J., Katajainen J., Penttonen M. (1985) Np-completeness of the Hamming Salesman problem. BIT Numerical Mathematics 25(1): 289–292

    Article  Google Scholar 

  • Floridi L. (1998a) The importance of being Earnest: Peirce’s interpretation of scepticism. In: van Brakel J., van Heerden M. (eds) C. S. Peirce categories to Constantinople. Leuven University Press, Leuven, pp 47–60

    Google Scholar 

  • Floridi L. (1998b) Mathematical scepticism: A sketch with historian in foreground. In: van der Zande J., Popkin R. (eds) The Skeptical Tradition around 1800. Kluwer, Dordrecht, pp 41–60

    Google Scholar 

  • Floridi, L. (2000). Mathematical skepticism: The Cartesian approach. In A. Kanamori (Ed.), Proceedings of the twentieth world congress of philosophy (pp. 217–265). Bowling Green: Philosophy Doc Ctr.

  • Floridi L. (2002) Sextus Empiricus, the recovery and transmission of pyrrhonism. Oxford University Press, Oxford, New York

    Google Scholar 

  • Floridi L. (2004a) Mathematical skepticism: The debate between Hobbes and Wallis. In: Neto J. R. M., Popkin R. H. (eds) Skepticism in renaissance and post-renaissance thought: New interpretations. Prometheus, New York, pp 143–183

    Google Scholar 

  • Floridi L. (2004b) Outline of a theory of strongly semantic information. Minds and Machines 14(2): 197–222

    Article  Google Scholar 

  • Floridi L. (2010) The philosophy of information. Oxford University Press, Oxford

    Google Scholar 

  • Gabbay D. M., Schlechta K. (2009) Logical tools for handling change in agent-based systems. Springer, New York

    Google Scholar 

  • Hintikka J. (1973) Logic, language-games and information: Kantian themes in the philosophy of logic. Clarendon Press, Oxford

    Google Scholar 

  • Holm R. (2003) A constructive approach to state description semantics. Journal of Applied Logic 1(1–2): 13–46

    Article  Google Scholar 

  • Konstantinidis S. (2007) Computing the edit distance of a regular language. Information and Computation 205(9): 1307–1316

    Article  Google Scholar 

  • Kracht M., Kutz O. (2007) Logically possible worlds and counterpart semantics for modal logic. In: Jacquette D. (eds) Philosophy of logic. Elsevier, Amsterdam, pp 943–996

    Chapter  Google Scholar 

  • Kutach, D. (Ed.). (2006). Special issue on “Similarity Is a Bad Guide to Counterfactual Truth”. Available online at http://www.brown.edu/Departments/Philosophy/Douglas_Kutach/Kutach_Similarity.pdf.

  • Lafage C., Lang J. (2001) Propositional distances and preference representation. Lecture Notes in Computer Science 2143: 48–59

    Article  Google Scholar 

  • Larkin J. H., Simon H. A. (1987) Why a diagram is (Sometimes) worth ten thousand words. Cognitive Science 11(1): 65–100

    Article  Google Scholar 

  • Leibniz, G. W. (1951). In P. P. Wiener (Ed.), Selections. New York: Charles Scribner’s Sons.

  • Lewis D. (1979) Counterfactual dependence and time’s arrow. Noûs 13(4): 455–476

    Google Scholar 

  • Lewis D. K. (1973) Counterfactuals. Basil Blackwell, Oxford

    Google Scholar 

  • Mancosu P. (1998) From Brouwer to Hilbert: The debate on the foundations of mathematics in the 1920s. Oxford University Press, New York, Oxford

    Google Scholar 

  • Manthey B., Reischuk R. (2005) The intractability of computing the Hamming distance. Theoretical Computer Science 337(1–3): 331–346

    Article  Google Scholar 

  • Marion M. (1998) Wittgenstein, Finitism, and the foundations of mathematics. Clarendon, Oxford

    Google Scholar 

  • Naimpally S. A., Warrack B. (1970) Proximity spaces. Cambridge University Press, Cambridge

    Google Scholar 

  • Niiniluoto, I. (1987). Truthlikeness. Dordrecht, Holland; Boston: Reidel.

  • Papini O. (2000) Knowledge-base revision. The Knowledge Engineering Review 15(04): 339–370

    Article  Google Scholar 

  • Pascal, B. (1995). Penseés and other writings (H. Levi, Transl. with an introduction and notes by A. Levi.). Oxford: Oxford University Press.

  • Peirce C. S. (1877) The fixation of belief. Popular Science Monthly 12: 1–15

    Google Scholar 

  • Popkin R. H. (2003) The history of scepticism: From Savonarola to Bayle revised and expanded edition. Oxford University Press, New York; Oxford

    Google Scholar 

  • Ramón y Cajal, S. (1999). Advice for a young investigator Reglas y consejos sobre investigación cientifica (4th ed. 1916) (N. Swanson & L. W. Swanson, Trans.). Cambridge MA, London: MIT Press.

  • Satoh, K. (1988). Nonmonotonic reasoning by minimal belief revision. Proceedings of the international conference on fifth generation computer systems, Tokyo, Japan (pp. 455–462).

  • Simon H. A. (1978) On the forms of mental representation. In: Savage C. W. (eds) Minnesota studies in the philosophy of science: Perception and cognition: Issues in the foundations of psychology (Vol. IX). University of Minnesota Press, Minneapolis, pp 3–18

    Google Scholar 

  • Tasić V. (2001) Mathematics and the roots of postmodern thought. Oxford University Press, Oxford

    Google Scholar 

  • Williamson T. (1987) Invertible definitions. Notre Dame Journal of Formal Logic 28(2): 244–258

    Article  Google Scholar 

  • Yue A., Liu W., Hunter A. (2008) Measuring the ignorance and degree of satisfaction for answering queries in imprecise probabilistic logic programs. Lecture Notes In Computer Science 5291: 386–400

    Article  Google Scholar 

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Correspondence to Luciano Floridi.

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Floridi, L. Information, possible worlds and the cooptation of scepticism. Synthese 175 (Suppl 1), 63–88 (2010). https://doi.org/10.1007/s11229-010-9736-0

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