What Should Default Reasoning be, by Default?

This is a position paper concerning the role of empirical studies of human default reasoning in the formalization of AI theories of default reasoning. We note that AI motivates its theoretical enterprise by reference to human skill at default reasoning, but that the actual research does not make any use of this sort of information and instead relies on intuitions of individual investigators. We discuss two reasons theorists might not consider human performance relevant to formalizing default reasoning: (a) that intuitions are sufficient to describe a model, and (b) that human performance in this arena is irrelevant to a competence model of the phenomenon. We provide arguments against both these reasons. We then bring forward three further considerations against the use of intuitions in this arena: (a) it leads to an unawareness of predicate ambiguity, (b) it presumes an understanding of ordinary language statements of typicality, and (c) it is similar to discredited views in other fields. We advocate empirical investigation of the range of human phenomena that intuitively embody default reasoning. Gathering such information would provide data with which to generate formal default theories and against which to test the claims of proposed theories. Our position is that such data are the very phenomena that default theories are supposed to explain.

[1]  Colin Lyas,et al.  Philosophy and linguistics , 1971 .

[2]  Gopalan Nadathur,et al.  Handbook of Logic in Artificial Intelligence and Logic Programming, Volume2, Deduction Methodologies , 1994, Handbook of Logic in Artificial Intelligence and Logic Programming, Volume 2.

[3]  John R. Anderson The Adaptive Character of Thought , 1990 .

[4]  Henle Lauer,et al.  The Norm of Truth , 1993 .

[5]  David Poole,et al.  A Logical Framework for Default Reasoning , 1988, Artif. Intell..

[6]  E. R. Emmet,et al.  Handbook of logic , 1966 .

[7]  David Makinson,et al.  General patterns in nonmonotonic reasoning , 1994 .

[8]  Claire Hewson,et al.  Psychological Evidence for Assumptions of Path-Based Inheritance Reasoning , 2019, Proceedings of the Sixteenth Annual Conference of the Cognitive Science Society.

[9]  S. Haack Philosophy of logics , 1978 .

[10]  Raymond Reiter,et al.  A Logic for Default Reasoning , 1987, Artif. Intell..

[11]  Jon Doyle,et al.  A Truth Maintenance System , 1979, Artif. Intell..

[12]  Raymond Reiter,et al.  On Reasoning by Default , 1978, TINLAP.

[13]  David S. Touretzky,et al.  A Clash of Intuitions: The Current State of Nonmonotonic Multiple Inheritance Systems , 1987, IJCAI.

[14]  Vladimir Lifschitz,et al.  Benchmark Problems for Formal Non-Monotonic Reasoning, Version 2.00 , 1988, NMR.

[15]  G. P. Henderson,et al.  Translations from the philosophical writings of Gottlob Frege , 1953 .

[16]  K. Holyoak,et al.  On the natural selection of reasoning theories , 1989, Cognition.

[17]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[18]  Mark Stefik,et al.  Introduction to knowledge systems , 1995 .

[19]  Robert C. Moore Semantical Considerations on Nonmonotonic Logic , 1985, IJCAI.

[20]  P C Wason,et al.  Reasoning about a Rule , 1968, The Quarterly journal of experimental psychology.

[21]  John McCarthy,et al.  Applications of Circumscription to Formalizing Common Sense Knowledge , 1987, NMR.

[22]  Kurt Konolige,et al.  Hierarchic Autoepistemic Theories for Non-Monotonic Reasoning: Preliminary Report , 1989, NMR.

[23]  Brian Ellis,et al.  Rational Belief Systems. , 1980 .

[24]  M. Black,et al.  Translations from the philosophical writings of Gottlob Frege , 1953 .

[25]  Matthew L. Ginsberg AI and nonmonotonic reasoning , 1994 .

[26]  Daniel N. Osherson,et al.  Joshua Stern, Ormond Wilkie, Michael Stob, Edward E. Smith: Default Probability , 1991, Cogn. Sci..

[27]  Kurt Konolige Hierarchic autoepistemic theories for non-monotonic reasoning: preliminary report , 1989 .

[28]  Grigoris Antoniou,et al.  Nonmonotonic reasoning , 1997 .

[29]  J. E. Tiles Rational Belief Systems. , 1982 .

[30]  Duke Benadom Forward , 1996, Nursing standard (Royal College of Nursing (Great Britain) : 1987).

[31]  Alice ter Meulen,et al.  Genericity: An Introduction , 1995 .

[32]  Nick Chater,et al.  A rational analysis of the selection task as optimal data selection. , 1994 .

[33]  Steven L. Tanimoto The elements of artificial intelligence , 1800 .

[34]  Bart Selman,et al.  The Complexity of Model-Preference Default Theories , 1988, NMR.

[35]  Drew McDermott,et al.  Non-Monotonic Logic I , 1987, Artif. Intell..

[36]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[37]  Dov M. Gabbay,et al.  Handbook of Logic in Artificial Intelligence and Logic Programming: Volume 3: Nonmonotonic Reasoning and Uncertain Reasoning , 1994 .

[38]  Dov M. Gabbay,et al.  Nonmonotonic reasoning and uncertain reasoning , 1994 .

[39]  R. Elio Human Benchmarks on AI ’ s Benchmark Problems , 1993 .

[40]  Philippe Besnard,et al.  An Introduction to Default Logic , 1989, Symbolic Computation.

[41]  Jay L. Garfield,et al.  Review: John Macnamara, A Border Dispute. The Place of Logic in Psychology , 1988 .

[42]  A. Tversky,et al.  Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment , 1983 .

[43]  Sarit Kraus,et al.  Nonmonotonic Reasoning, Preferential Models and Cumulative Logics , 1990, Artif. Intell..

[44]  John McCarthy,et al.  Epistemological Problems of Artificial Intelligence , 1987, IJCAI.

[45]  Gerhard Brewka,et al.  Nonmonotonic Reasoning: Logical Foundations of Commonsense By Gerhard Brewka (Cambridge University Press, 1991) , 1991, SGAR.

[46]  Matthew L. Ginsberg,et al.  Readings in Nonmonotonic Reasoning , 1987, AAAI 1987.

[47]  Eduard Hoenkamp,et al.  An Analysis of Psychological Experiments on Non-Monotonic Reasoning , 1987, IJCAI.

[48]  Dov M. Gabbay,et al.  Handbook of logic in artificial intelligence and logic programming (vol. 1) , 1993 .

[49]  Patricia Smith Churchland,et al.  Epistemology in the Age of Neuroscience , 1987 .

[50]  John L. Pollock,et al.  Defeasible Reasoning , 2020, Synthese Library.

[51]  Daniel Lehmann,et al.  Plausibility Logic , 1991, CSL.

[52]  Todd Lubart,et al.  Conditional reasoning and causation , 1991, Memory & cognition.

[53]  Jonathan S. Evans,et al.  Bias in human reasoning , 1990 .

[54]  A. Tversky,et al.  Support theory: A nonextensional representation of subjective probability. , 1994 .

[55]  G. Gigerenzer,et al.  Cognition as Intuitive Statistics , 1987 .

[56]  Peter Slezak,et al.  How Not to Naturalize the Theory of Action , 1989 .

[57]  E. Sandewall,et al.  Nonmonotonic inference rules for multiple inheritance with exceptions , 1986, Proceedings of the IEEE.

[58]  Ryszard S. Michalski,et al.  The Logic of Plausible Reasoning: A Core Theory , 1989, Cogn. Sci..

[59]  George F. Luger,et al.  Artificial Intelligence and the Design of Expert Systems , 1990 .

[60]  Francis Jeffry Pelletier On Relevance in Non-monotonic Reasoning: Some Empirical Studies , 1994 .

[61]  K. Manktelow,et al.  Rationality: Psychological and Philosophical Perspectives , 1993 .

[62]  R. Byrne Suppressing valid inferences with conditionals , 1989, Cognition.

[63]  E. Beth The Foundations of Arithmetic , 1965 .