Skip to main content

A Theory of Similarity and Uncertainty

  • Chapter

Abstract

Uncertainty may entail at the same time lack of determinacy and imprecise knowledge. Lack of determinacy is an ontological property of the universe we are considering. Imprecise knowledge is an epistemic property of the agents in that universe. A desirable feature of a theory of uncertainty is that both properties should be taken into account and integrated within a unifying framework. A possible route to identifying such a framework is suggested by Henry Kyburg’s conception of objective (ontological) probability (see Kyburg, Chapter 2, this volume) and Isaac Levi’s view concerning the relative autonomy of cognitive objectives (see Levi, Chapter 3, this volume). Kyburg maintains that ‘many people think that the evidence renders certain beliefs irrational’ (s. 2.3). He also maintains that ‘the issue is important in artificial intelligence for the same reason: are there constraints that degrees of beliefs should satisfy? Or is one coherent distribution as good as another?’ (s. 2.3). Finally, Kyburg calls attention to the issue of objectivity in statistical inference: ‘if there are no objective constraints, it is hard to know how differences of opinion regarding statistical conclusions can be resolved’ (s. 2.3). From the point of view of cognitive commitment, Kyburg’s claim about the effectiveness of objectivity constraints is close to Isaac Levi’s view concerning the autonomy of cognitive values.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Cardinale, I. (2007), Uncertainty, Similarity, and the Logic of Arguments: An Economic Theory of Political Decisions, M.Sc. Dissertation, Faculty of Economics, University of Bologna, academic year 2006–7.

    Google Scholar 

  • Carter, C. F., Meredith, G. P. and Shackle, G. L. S. (1957), Uncertainty and Business Decisions, Liverpool: Liverpool University Press.

    Google Scholar 

  • Crisma, L. (1988), ‘Dalla certezza all’incertezza: aspetti dinamici in una impostazione soggettiva’, in Atti del convegno su incertezza ed economia, Trieste, 29–30 October 1987, Trieste: LINT, pp. 11–46.

    Google Scholar 

  • Edwards, A. W. F. (1992), Likelihood. Expanded Edition, Baltimore and London: Johns Hopkins University Press.

    Google Scholar 

  • Galavotti, M. C. (2005), A Philosophical Introduction to Probability, Stanford: CSLI Publications.

    Google Scholar 

  • Gardenfors, P. (1990) ‘Induction, Conceptual Spaces and AI’, Philosophy of Science, 57, pp. 78–95.

    Article  Google Scholar 

  • — (2000), Conceptual Spaces: The Geometry of Thought, Cambridge, Mass., and London: MIT Press.

    Google Scholar 

  • Gillies, D. A. (2000), Philosophical Theories of Probability, London and New York: Routledge.

    Google Scholar 

  • — (2006), ‘Keynes and Probability’, in R. E. Backhouse and B. W. Bateman (eds), The Cambridge Companion to Keynes, Cambridge: Cambridge University Press, pp. 199–216.

    Chapter  Google Scholar 

  • Giunchiglia, F. (1993), ‘Contextual Reasoning’, Epistemologia, 16, pp. 345–64.

    Google Scholar 

  • Keynes, J. M. (1973 [1921]), A Treatise on Probability, vol. VIII of The Collected Writings of John Maynard Keynes, London, Macmillan.

    Google Scholar 

  • Knight, F. H. (1940 [1921]), Risk, Uncertainty and Profit, with an additional introductory essay hitherto unpublished, London: The London School of Economics and Political Science.

    Google Scholar 

  • Koopman, B. O. (1940), ‘The Axioms and Algebra of Intuitive Probability’, Annals of Mathematics, 41 (2), pp. 269–92.

    Article  Google Scholar 

  • Leontief, W. (1947), ‘Introduction to a Theory of the Internal Structure of Functional Relationships’, Econometrica, 15 (4), pp. 361–73.

    Article  Google Scholar 

  • Levi, I. (1991), The Fixation of Belief and Its Undoing. Changing Beliefs through Inquiry, Cambridge, Cambridge University Press.

    Book  Google Scholar 

  • Loasby, B. (1976), Choice, Complexity and Ignorance: An Enquiry into Economic Theory and the Practice of Decision-Making, Cambridge: Cambridge University Press.

    Google Scholar 

  • — (2003), Connecting Principles, New Combinations and Routines, SCEME Working Paper no. 1, Stirling: University of Stirling Centre for Economic Methodology.

    Google Scholar 

  • — (2009), Imagination, Illusion and Delusion, SCEME Working Paper no. 27, Stirling: University of Stirling Centre for Economic Methodology.

    Google Scholar 

  • — (2010), ‘Uncertainty and Imagination, Illusion and Order: Shackleian Connections’, The G. L. S. Shackle Biennial Lecture, St. Edmund’s College, Cambridge, 4 March.

    Google Scholar 

  • Lombardini, S. (1953), ‘L’incertezza nella teoria economica’, in Studi in memoria di Gino Borgatta, Bologna: Arti Grafiche, pp. 25–57.

    Google Scholar 

  • McCarthy, J. (1980), ‘Circumscription — A Form of Non-Monotonic Reasoning’, Artificial Intelligence, 13, pp. 27–39.

    Article  Google Scholar 

  • Maggi, R. (1958), Momenti dinamici dell’economia, Milan: Giuffre.

    Google Scholar 

  • Mandelbrot, B. (1997), Fractals and Scaling in Finance: Discontinuity, Concentration, isk, with foreword by R. E. Gomory and contributions by P. H. Cootner et al., Berlin and New York: Springer.

    Book  Google Scholar 

  • Newell, A. and Simon, H. A. (1972), Human Problem Solving, Englewood Cliffs, NJ: Prentice Hall.

    Google Scholar 

  • Rossini Favretti, R., Sandri, G. and Scazzieri, R. (1999), ‘Translating Languages: An Introductory Essay’, in R. Rossini Favretti, G. Sandri and R. Scazzieri (eds), Incommensurability and Translation, Cheltenham, UK and Northampton, Mass.: Edward Elgar, pp. 1–29.

    Google Scholar 

  • Sánchez, D. M., Cavero, J. M. and Marcos, E. (2009), ‘The Concepts of Model in Information Systems Engineering: A Proposal for an Ontology of Models’, Knowledge Engineering Review, 24 (1 March), pp. 5–21.

    Article  Google Scholar 

  • Scazzieri, R. (1999), ‘Economic Beliefs, Economic Theory and Rational Reconstruction’, in R. Rossini Favretti, G. Sandri and R. Scazzieri (eds) (1999), pp. 289–306.

    Google Scholar 

  • — (2001), ‘Analogy, Causal Patterns and Economic Choice’, in M. C. Galavotti, P. Suppes and D. Costantini (eds), Stochastic Causality, Stanford: CSLI Publications, pp. 123–39.

    Google Scholar 

  • — (2006), ‘A Smithian Theory of Choice’, Adam Smith Review, 2, pp. 21–47.

    Google Scholar 

  • — (2008), ‘Context, Congruence and Coordination’, in M. C. Galavotti, R. Scazzieri and P. Suppes (eds), Reasoning, Rationality and Probability, Stanford: CSLI Publications, pp. 187–207.

    Google Scholar 

  • Shackle, G. L. S. (1979), Imagination and the Nature of Choice, Edinburgh: Edinburgh University Press.

    Google Scholar 

  • — (1983 [1958]), Time in Economics, Westport, Conn.: Greenwood Press.

    Google Scholar 

  • Simon, H. A. (1962), ‘The Architecture of Complexity’, Proceedings of the American Philosophical Society, 106 (6), pp. 467–82.

    Google Scholar 

  • Smith, A. (1980 [1795]), ‘The Principles which Lead and Direct Philosophical Inquiries: Illustrated by the History of Astronomy’, in W. P. D. Wightman and J. C. Bryce (eds), Essays on Philosophical Subjects, Oxford: Clarendon Press.

    Google Scholar 

  • Suppes, P. (1984), Probabilistic Metaphysics, Oxford: Basil Blackwell.

    Google Scholar 

  • Thagard, P. (1992), Conceptual Revolutions, Princeton: Princeton University Press.

    Google Scholar 

  • Tuomela, R. (1978), ‘Theory-Distance and Verisimilitude’, Synthèse, 38, pp. 213–46.

    Article  Google Scholar 

  • Tversky, A. (1977), ‘Features of Similarity’, Psychological Review, 84, pp. 327–52.

    Article  Google Scholar 

  • Vercelli, A. (2001), ‘Epistemic Causality and Hard Uncertainty: A Keynesian Approach’, in M. C. Galavotti, P. Suppes and D. Costantini (eds), Stochastic Causality, Stanford: CSLI Publications, pp. 141–56.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Copyright information

© 2011 Roberto Scazzieri

About this chapter

Cite this chapter

Scazzieri, R. (2011). A Theory of Similarity and Uncertainty. In: Brandolini, S.M.D., Scazzieri, R. (eds) Fundamental Uncertainty. Palgrave Macmillan, London. https://doi.org/10.1057/9780230305687_5

Download citation

Publish with us

Policies and ethics