SELECTED PUBLICATIONS IN LOGIC AND FORMAL EPISTEMOLOGY

Carl G. Wagner, Professor Emeritus of Mathematics and Adjunct Professor of Philosophy, 
The University of Tennessee (cwagner@tennessee.edu)

Book

1 (1981) Rational Consensus in Science and Society, Reidel Publishing Company, Dordrecht-Boston (with Keith Lehrer).

Articles

41. (2016) Peter Fishburn's Analysis of Ambiguity Theory and Decision, 81, 153-165 (with Mark Shattuck).
40. (2014) An impossibility theorem for allocation aggregation, Journal of Philosophical Logic, 43, 1173-1186 (with Mark Shattuck). (D0I10.1007s10092-014-9315-9)
39. (2013) Review of AN INTRODUCTION TO THE PHILOSOPHY OF MATHEMATICS, by Mark Colyvan, Teaching Philosophy 36, 316-320.
38. (2013) The corroboration paradox, Synthese 190, 1455-1469 (DOI 10.1007/s11229-012-0106-y).
37. (2013) Is conditioning really incompatible with holism?, Journal of Philosophical Logic 42, 409-414 (DOI 10.1007/s10992-012-9230-x).
36. (2012) Realistic opinion aggregation: Lehrer-Wagner with a finite set of opinion values, Episteme 9, 91-99 (with Richard Bradley). (DOI 10.1017/epi. 2012.2)
35. (2012) Universality and its discontents, Balkan Journal of Philosophy 4, 39-44.
34. (2011) Peer disagreement and independence preservation, Erkenntnis 74, 277-288.
33. (2010) Independence preservation in expert judgment synthesis, Aequationes Mathematicae 80, 277-290 (with Mark Shattuck).
32. (2009) Jeffrey conditioning and external Bayesianity, Logic Journal of the IGPL- Oxford University Press, doi:10.1093/jigpal/jzp063.
31. (2009) Probability and statistics: five questions, in Probability and Statistics: Five Questions, A. Hajek and V. Hendriks (eds.), Automatic Press, New York-London, 163-177.
30. (2008) Probability revision, the uniformity rule, and the Chan-Darwiche metric, in Soft Methods for Handling Variability and Imprecision, D. Dubois, et al (eds.), Advances in Soft Computing 48, Springer-Verlag, Berlin, 74-79.
29. (2007) The Smith-Walley interpretation of subjective probability: an appreciation, Studia Logica 86, 343-350.
28. (2004) Modus tollens probabilized, British Journal for the Philosophy of Science 55, 747-753.
27. (2003) Commuting probability revisions: the uniformity rule, Erkenntnis 59, 349-364.
26. (2003) Two dogmas of probabilism, in The Epistemology of Keith Lehrer, E.J. Olsson (ed.), Kluwer, Dordrecht, 143-152.
25. (2002) Probability kinematics and commutativity, Philosophy of Science 69, 266-278.
24. (2001) Old evidence and new explanation III, Philosophy of Science 68, S165-S175.
23. (1999) Old evidence and new explanation II, Philosophy of Science 66, 283-288.
22. (1999) Misadventures in conditional expectation: the two envelope problem, Erkenntnis 51, 233-241.
21. (1997) Old evidence and new explanation, Philosophy of Science 64, 677-690.
20. (1992) Generalized probability kinematics, Erkenntnis 36, 245-257.
19. (1991) Simpson’s paradox and the Fisher-Newcomb problem, Grazer Philosophische Studien 40, 185-194.
18. (1991) Corroboration and conditional positive relevance, Philosophical Studies 61,     295-300.
17. (1989) Consensus for belief functions and related uncertainty measures, Theory and Decision 26, 295-304.
16. (1987) Further evidence against independence preservation in expert judgement synthesis, Aequationes Mathematicae 32, 74-86 (with C. Genest).
15. (1987) A functional equation arising in multi-agent statistical decision theory, Aequationes Mathematicae 32, 32-37 (with C. Sundberg).
14. (1985) Evaluating social welfare functional: a reply to Nurmi, Conceptus 19, 76-82.
13. (1985) Intransitive indifference: the semi-order problem, Synthese 65, 249-256 (with Keith Lehrer).
12. (1985) On the formal properties of weighted averaging as a method of aggregation, Synthese 62, 97-108.
11. (1984) Avoiding Anscombe’s paradox, Theory and Decision 16, 233-238.
10. (1984) Aggregating subjective probabilities: some limitative theorems, Notre Dame Journal of Formal Logic 25, 233-240.
9. (1984) Aggregation theorems for allocation problems, SIAM Journal on Algebraic and Discrete Methods 5, 1-8 (with J. Aczel and C.T. Ng).
8. (1983) Anscombe’s paradox and the rule of three-fourths, Theory and Decision 15,   303-308.
7. (1983) Probability amalgamation and the independence issue: a reply to Laddaga, Synthese 55, 339-346.
6. (1982) Allocation, Lehrer models, and the consensus of probabilities, Theory and Decision 14, 207-220.
5. (1980) A characterization of weighted arithmetic means, SIAM Journal on Algebraic and Discrete Methods 1, 259-260 (with J. Aczel).
4. (1979) Review of Jonathan Cohen’s THE PROBABLE AND THE PROVABLE, Duke Law Journal, 1071-1081.
3. (1980) The formal foundations of Lehrer’s theory of consensus, in Profile: Keith Lehrer,  R. Bogdan (ed.), Reidel Publishing Company, Dordrecht.
2. (1978) Consensus through respect: a model of rational group decisionmaking, Philosophical Studies 34(1978), 335-349.
1. (1974) Boolean subtractive algebras, Notre Dame Journal of Formal Logic 15(1974), 317-324 (with T. Hearne).