There is an important class of conditionals whose assertibility conditions are not given by the Ramsey test but by an inductive extension of that test. Such inductive Ramsey conditionals fail to satisfy some of the core properties of plain conditionals. Associated principles of nonmonotonic inference should not be assumed to hold generally if interpretations in terms of induction or appeals to total evidence are not to be ruled out.
KeywordsImportant Class Core Property Total Evidence Assertibility Condition Ramsey Test
Unable to display preview. Download preview PDF.
- Alchourrón, C. E., P. Gärdenfors and D. Makinson: 1985, ‘On the Logic of Theory Change: Partial Meet Functions for Contraction and Revision’,Journal of Symbolic Logic 50, 510–30.Google Scholar
- Gärdenfors, P.: 1988,Knowledge in Flux, Bradford — MIT, Cambridge, Mass.Google Scholar
- Gärdenfors, P. and D. Makinson: 1994, ‘Nonmonotonic Reasoning Based on Expectations’,Artificial Intelligence 65, 197–245.Google Scholar
- Kraus, S., D. Lehmann and M. Magidor: 1990, ‘Nonmonotonic Reasoning, Preferential Models and Cumulative Logics’,Artificial Intelligence 44, 167–207.Google Scholar
- Levi, I.: 1967a,Gambling with Truth, A. Knopf, New York.Google Scholar
- Levi, I.: 1967b, ‘Information and Inference’,Synthese 17, 369–91.Google Scholar
- Levi, I.: 1980,The Enterprise of Knowledge, MIT, Cambridge, Mass.Google Scholar
- Levi, I.: 1986,Hard Choices, Cambridge University Press, Cambridge.Google Scholar
- Levi, I.: 1988, ‘Iteration of Conditionals and the Ramsey Test’,Synthese 76, 49–81.Google Scholar
- Levi, I.: 1991,The Fixation of Belief and Its Undoing, CUP, Cambridge.Google Scholar
- Makinson, D.: 1994, ‘General Patterns in Nonmonotonic Reasoning’, inHandbook of Logic in Artificial Intelligence and Logic Programming (ed. Gabbay et al.), vol. 3, Oxford University Press, Oxford.Google Scholar
- Makinson, D. and P. Gärdenfors: 1991, ‘Relations Between the Logic of Theory Change and Nonmonotonic Logic’, inThe Logic of Theory Change (ed. by Fuhrmann/Morreau),Lecture Notes in Artificial Intelligence 465, Springer, Heidelberg.Google Scholar
- Ramsey, F. P.: 1931, ‘General Propositions and Causality’, in hisFoundations of Mathematics and Other Logical Essays, Routledge & and Kegan Paul, London.Google Scholar