Reasoning About Uncertain Conditionals

Studia Logica

Volumn 102, Issue 4, 2014, Pages 849-866

  Pfeifer, Niki ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

Coherence; Conditionals; Formal epistemology; Paradoxes of the material conditional; Probability logic; Psychology of reasoning

Indexed keywords

EID: 84899674924     PISSN: 00393215     EISSN: 15728730     Source Type: Journal    
DOI: 10.1007/s11225-013-9505-4     Document Type: Article

References (50)

1. Adams E. W.: A Primer of Probability Logic. CSLI, Stanford (1998).
2. Baratgin, J., D. E. Over, and G. Politzer, New paradigm psychology of conditionals and general de Finetti tables, Mind and Language (in press).
3. Baratgin, J., D. E. Over, and G. Politzer, Uncertainty and the de Finetti tables, Thinking & Reasoning doi: 10. 1080/13546783. 2013. 809018.
4. Biazzo V., Gilio A.: A generalization of the fundamental theorem of de Finetti for imprecise conditional probability assessments. International Journal of Approximate Reasoning 24(2-3), 251-272 (2000).
5. Bonnefon J.-F., Politzer G.: Pragmatics, mental models and one paradox of the material conditional. Mind & Language 26(2), 141-155 (2011).
6. Braine, M. D. S., and D. P. O'Brien (eds.), Mental Logic, Erlbaum, Mahwah, 1998.
7. Byrne R. M. J.: Suppressing valid inferences with conditionals. Cognition 31, 61-83 (1989).
8. Coletti G., Scozzafava R.: Probabilistic Logic in a Coherent Setting. Kluwer, Dordrecht (2002).
9. Coletti, G., R. Scozzafava, and B. Vantaggi, Probabilistic reasoning as a general unifying tool, in S. Benferhat and P. Besnard (eds.), Lecture Notes LNAI, Vol. 2143 of ECSQARU, Springer, New York, 2001, pp. 120-131.
10. de Finetti, B., Theory of probability, Vols. 1, 2, John Wiley & Sons, Chichester, 1974. Original work published 1970.
11. de Finetti, B., Foresight: its logical laws, its subjective sources (1937), in H. Jr. Kyburg and H. E. Smokler (eds.), Studies in Subjective Probability, Robert E. Krieger Publishing Company, Huntington, New York, 1980, pp. 55-118.
12. Douven I., Meijs W.: Measuring coherence. Synthese 156(3), 405-425 (2007).
13. Evans, J. St B. T., Interpretation and matching bias in a reasoning task, Quarterly Journal of Experimental Psychology 24: 193-199, 1972.
14. Evans, J. St B. T., Logic and human reasoning: an assessment of the deduction paradigm, Psychological Bulletin 128: 978-996, 2002.
15. Evans, J. St B. T., S. J. Handley, and D. E. Over, Conditionals and conditional probability, Journal of Experimental Psychology: Learning, Memory, and Cognition 29(2): 321-355, 2003.
16. Galavotti, M. C. (ed.), Bruno de Finetti. Radical probabilist, Texts in Philosophy 8, College Publications, London, 2008.
17. Gilio A.: Criterio di penalizzazione e condizioni di coerenza nella valutazione soggettiva della probabilitàà. Bollettino dell'Unione Matematica Italiana 4-B, 645-660 (1990).
18. Gilio A.:: Probabilistic reasoning under coherence in System P. Annals of Mathematics and Artificial Intelligence 34, 5-34 (2002).
19. Gilio A., Over D. E.: The psychology of inferring conditionals from disjunctions: a probabilistic study. Journal of Mathematical Psychology 56, 118-131 (2012).
20. Gilio A., Sanfilippo G.: Quasi conjunction, quasi disjunction, t-norms and t-conorms: probabilistic aspects. Information Sciences. 245, 146-167 (2013). doi: 10. 1016/j. ins. 2013. 03. 019.
21. Gilio, A., and G. Sanfilippo, Conditional random quantities and compounds of conditionals, Studia Logica 102, 2014.
22. Haenni R., Romeijn J.-W., Wheeler G., Williamson J.: Probabilistic Logics and Probabilistic Networks. Springer, Dordrecht (2011).
23. Hailperin, T., Sentential Probability Logic. Origins, Development, Current Status, and Technical Applications, Lehigh University Press, Bethlehem, 1996.
24. Hailperin T.: Logic with a Probability Semantics. Including a Probability Semantics to Some Philosophical Problems. Lehigh University Press, Bethlehem (2011).
25. Harris A. J. L., Hahn U.: Bayesian rationality in evaluating multiple testimonies: incorporating the role of coherence. Journal of Experimental Psychology: Learning, Memory, and Cognition 35, 1366-1373 (2009).
26. Hawthorne, J., A primer on rational consequence relations, Popper functions, and their ranked structures, Studia Logica 102, 2014.
27. Johnson-Laird P. N., Mental Models: Towards a Cognitive Science of Language, Inference and Consciousness. Cambridge University Press, Cambridge (1983).
28. Johnson-Laird P. N., Byrne R. M. J.: Conditionals: a theory of meaning, pragmatics, and inference. Psychological Review 109(4), 646-678 (2002).
29. Johnson-Laird P. N., Tagart J.: How implication is understood. The American Journal of Psychology 82(3), 367-373 (1969).
30. Klauer K. C., Beller S., Hütter M.: Conditional reasoning in context: a dual-source model of probabilistic inference. Journal of Experimental Psychology: Learning, Memory, and Cognition 36, 298-323 (2010).
31. Kolmogoroff A. N.: Grundbegriffe der Wahrscheinlichkeitsrechnung. Springer, Berlin, Heidelberg (1933).
32. Lad F.: Operational Subjective Statistical Methods: A Mathematical, Philosophical, and Historical Introduction. Wiley, New York (1996).
33. Lewis C. I.: IV.-Implication and the Algebra of Logic. Mind 21(84), 522-531 (1912).
34. Oaksford M., Chater N., Larkin J.: Probabilities and polarity biases in conditional inference. Journal of Experimental Psychology: Learning, Memory, and Cognition 26, 883-899 (2000).
35. Oberauer K., Wilhelm O.: The meaning(s) of conditionals: conditional probabilities, mental models and personal utilities. Journal of Experimental Psychology: Learning, Memory, and Cognition 29, 680-693 (2003).
36. Over, D. E., J. St B. T. Evans, and S. Elqayam, Conditionals and non-constructive reasoning, in M. Oaksford and N. Chater (eds.), Cognition and Conditionals: Probability and Logic in Human Reasoning, Oxford University Press, Oxford, 2010, pp. 135-151.
37. Pfeifer N.: Systematic rationality norms provide research roadmaps and clarity. Commentary on Elqayam & Evans: subtracting "ought" from "is": descriptivism versus normativism in the study of human thinking. Behavioral and Brain Sciences 34, 263-264 (2011).
38. Pfeifer N.: Experiments on Aristotle's thesis: towards an experimental philosophy of conditionals. The Monist 95(2), 223-240 (2012).
39. Pfeifer, N., The new psychology of reasoning: a mental probability logical perspective, Thinking & Reasoning (in press).
40. Pfeifer N., Kleiter G. D.: Coherence and nonmonotonicity in human reasoning. Synthese 146(1-2), 93-109 (2005).
41. Pfeifer N., Kleiter G. D.: Inference in conditional probability logic. Kybernetika 42, 391-404 (2006).
42. Pfeifer N., Kleiter G. D.: Framing human inference by coherence based probability logic. Journal of Applied Logic 7(2), 206-217 (2009).
43. Pfeifer, N., and G. D. Kleiter, The conditional in mental probability logic, in M. Oaksford and N. Chater (eds.), Cognition and Conditionals: Probability and Logic in Human Thought, Oxford University Press, Oxford, 2010, pp. 153-173.
44. Pfeifer, N., and G. D. Kleiter, Uncertain deductive reasoning, in K. Manktelow, D. E. Over, and S. Elqayam (eds.), The Science of Reason: A Festschrift for Jonathan St. B. T. Evans, Psychology Press, Hove, 2011, pp. 145-166.
45. Politzer G., Bourmaud G.: Deductive reasoning from uncertain conditionals. British Journal of Psychology 93, 345-381 (2002).
46. Politzer G., Over D. E., Baratgin J.: Betting on conditionals. Thinking & Reasoning 16(3), 172-197 (2010).
47. Rips L. J.: The Psychology of Proof: Deductive Reasoning in Human Thinking. MIT Press, Cambridge (1994).
48. Stenning K., van Lambalgen M.: Semantic interpretation as computation in nonmonotonic logic: the real meaning of the suppression task. Cognitive Science 29, 919-960 (2005).
49. Walley P.: Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London (1991).
50. Wason, P. C., Reasoning, in B. M. Foss (ed.), New Horizons in Psychology I, Penguin, Harmandsworth, 1966, pp. 106-137.