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  2. Books
  3. Pure Inductive Logic
  • Cited by 21
Publisher:
Cambridge University Press
Online publication date:
May 2015
Print publication year:
2015
Online ISBN:
9781107326194
DOI:
https://doi.org/10.1017/CBO9781107326194
Subjects:
Mathematics, Logic, Categories and Sets, Computer Science, Programming Languages and Applied Logic, Artificial Intelligence and Natural Language Processing
Series:
Perspectives in Logic
Information

Book description

Pure inductive logic is the study of rational probability treated as a branch of mathematical logic. This monograph, the first devoted to this approach, brings together the key results from the past seventy years plus the main contributions of the authors and their collaborators over the last decade to present a comprehensive account of the discipline within a single unified context. The exposition is structured around the traditional bases of rationality, such as avoiding Dutch Books, respecting symmetry and ignoring irrelevant information. The authors uncover further rationality concepts, both in the unary and in the newly emerging polyadic languages, such as conformity, spectrum exchangeability, similarity and language invariance. For logicians with a mathematical grounding, this book provides a complete self-contained course on the subject, taking the reader from the basics up to the most recent developments. It is also a useful reference for a wider audience from philosophy and computer science.

Reviews

'The monograph should prove an invaluable reference for researchers keen to embark on working in this area …'

Eric A. Martin Source: MathSciNet (www.ams.org/mathscinet)

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Contents

Page 1 of 2

Contents

Page 1 of 2

References
BIBLIOGRAPHY
[1] E.W., ADAMS, A primer of probability logic, CSLI Publications, Stanford, 1998.
[2] E.W., ADAMS and H., Levine, On the uncertainties transmitted from premisses to conclusions in deductive inferences, Synthese, vol. 30 (1975), no. 3, pp. 429–460.
[3] D. J., ALDOUS, Representations for partially exchangeable arrays of random variables, Journal of Multivariate Analysis, vol. 11 (1981), no. 4, pp. 581–598.
[4] R. B., ASH, Probability and measure theory, 2nd ed., Academic Press, 1999.
[5] F. C., BENENSON, Probability, objectivity and evidence, Routledge & Kegan Paul, London, 1984.
[6] J., BERNOULLI, Ars conjectandi, opus posthumum. accedit tractatus de seriebus infinitis, et epistola gallicé scripta de ludo pilae reticularis, Thurneysen Brothers, Basel, 1713.
[7] P. P., BILLINGSLEY, Probability and measure, JohnWiley & Sons, New York, 1995.
[8] P. P., BILLINGSLEY, Convergence of probability measures, second ed., John Wiley & Sons, New York, 1999.
[9] R., CARNAP, On inductive logic, Philosophy of Science, vol. 12 (1945), no. 2, pp. 72–97.
[10] R., CARNAP, On the application of inductive logic, Philosophy and Phenomenology Research, vol. 8 (1947), pp. 133–147.
[11] R., CARNAP, Reply to Nelson Goodman, Philosophy and Phenomenology Research, vol. 8 (1947), pp. 461–462.
[12] R., CARNAP, Logical foundations of probability, University of Chicago Press, Chicago, Routledge & Kegan Paul, London, 1950.
[13] R., CARNAP, The continuum of inductive methods, University of Chicago Press, 1952.
[14] R., CARNAP, The aim of inductive logic, Logic, methodology and philosophy of science (E., Nagel, P., Suppes, and A., Tarski, editors), Stanford University Press, Stanford, California, 1962, pp. 303–318.
[15] R., CARNAP, Inductive logic and rational decisions, Studies in inductive logic and probability (R., Carnap and R. C., Jeffrey, editors), vol. I, University of California Press, 1971, pp. 5–31.
[16] R., CARNAP, A basic system of inductive logic, Studies in inductive logic and probability (R., Carnap and R. C., Jeffrey, editors), vol. I, University of California Press, 1971, pp. 33–165.
[17] R., CARNAP, A basic system of inductive logic, Studies in inductive logic and probability (R. C., Jeffrey, editor), vol. II, University of California Press, 1980, pp. 7–155.
[18] R., CARNAP and W., STEGMÜLLER, Induktive Logik und Wahrscheinlichkeit, Springer Verlag, Wien, 1959.
[19] G. DE, COOMAN, E., MIRANDA, and E., QUAEGHEBEUR, Representation insensitivity in immmediate prediction under exchangeability, International Journal of Approximate Reasoning, vol. 50 (2009), pp. 204–216.
[20] N. J., CUTLAND, Loeb measure theory, Developments in nonstandard mathematics (N. J., CUTLAND, F., OLIVEIRA, V., NEVES, and J., SOUSA-PINTO, editors), Pitman Research Notes in Mathematics Series, vol. 336, Longman Press, 1995, pp. 51–177.
[21] C., DIMITRACOPOULOS, J. B., PARIS, A., VENCOVSKÁ, and G.M., WILMERS, A multivariate probability distribution based on the propositional calculus, preprint 1999/6, Manchester Centre for PureMathematics, 1999, Available at http://www.maths.manchester.ac.uk/~jeff/.
[22] J., EARMAN, Bayes or bust?, MIT Press, 1992.
[23] H. B., ENDERTON, A mathematical introduction to logic, second ed., Harcourt/Academic Press, Burlington, MA, 2001.
[24] R., FESTA, Analogy and exchangeability in predictive inferences, Erkenntnis, vol. 45 (1996), pp. 229–252.
[25] B. DE, FINETTI, Sul significato soggettivo della probabilità, Fundamenta Mathematicae, vol. 17 (1931), pp. 298–329.
[26] B. DE, FINETTI, Theory of probability, vol. 1, Wiley, New York, 1974.
[27] B., FITELSON, Inductive logic, The philosophy of science (S., Sarkar and J., Pfeifer, editors), vol. I, Routledge, New York and Abingdon, 2006, pp. 384–394. Available at http://fitelson.org/il.pdf.
[28] P., FORREST, The identity of indiscernibles, The Stanford Encyclopedia of Philosophy (E., Zalta, editor), fall 2008 ed., 2008, http://plato.stanford.edu/archives/fall2008/entries/identity-indiscernible/.
[29] D., GABBAY, S., HARTMANN, and A., WOODS (editors), Inductive logic, Handbook of the History of Logic, vol. 10, Elsevier, 2010.
[30] H., GAIFMAN, Concerning measures on first order calculi, Israel Journal of Mathematics, vol. 2 (1964), pp. 1–18.
[31] H., GAIFMAN, Applications of de Finetti's theorem to inductive logic, Studies in inductive logic and probability (R., Carnap and R. C., Jeffrey, editors), vol. I, University of California Press, 1971, pp. 235–251.
[32] H., GAIFMAN and M., SNIR, Probabilities over rich languages, The Journal of Symbolic Logic, vol. 47 (1982), pp. 495–548.
[33] D., GILLIES, Philosophical theories of probability, Routledge, London, 2000.
[34] I. J., GOOD, Explicativity, corroboration, and the relative odds of hypotheses, Synthese, vol. 30 (1975), pp. 39–73.
[35] N., GOODMAN, A query on confirmation, Journal of Philosophy, vol. 43 (1946), pp. 383–385.
[36] N., GOODMAN, On infirmities in confirmation-theory, Philosophy and Phenomenological Research, vol. 8 (1947), pp. 149–151.
[37] I., HACKING, An introduction to probability and inductive logic, Cambridge University Press, Cambridge, 2001.
[38] A., HAJEK and N., HALL, Induction and probability, The Blackwell guide to the philosophy of science (P., Machamer and R., Silberstein, editors), Blackwell, 2002, pp. 149–172.
[39] G. H., HARDY, J. E., LITTLEWOOD, and G., PÓLYA, Inequalities, Cambridge University Press, 1967.
[40] J., HAWTHORNE, Inductive logic, The Stanford Encyclopedia of Philosophy (E., Zalta, editor), spring 2014 ed., 2014, http://plato.stanford.edu/archives/spr2014/entries/logic-inductive/.
[41] M. B., HESSE, The structure of scientific inference, University of California Press, 1974.
[42] A., HILL and J. B., PARIS, An analogy principle in inductive logic, Annals of Pure and Applied Logic, vol. 164 (2013), pp. 1293–1321.
[43] A., HILL, The counterpart principle of analogical support by similarity, Erkenntnis, (2013), Online First Article.
[44] M. J., HILL, J. B., PARIS, and G. M., WILMERS, Some observations on induction in predicate probabilistic reasoning, Journal of Philosophical Logic, vol. 31 (2002), pp. 43–75.
[45] R., HILPINEN, On inductive generalization in monadic first order logic with identity, Studies in Logic and the Foundations of Mathematics, vol. 43 (1966), pp. 133–154.
[46] R., HILPINEN, Relational hypotheses and inductive inference, Synthese, vol. 23 (1971), pp. 266–286.
[47] J., HINTIKKA, On a combined system of inductive logic, Studia Logico-Mathematica et Philosophica in Honorem Rolf Nevalinna, Acta Philosophica Fennica, vol. 18 (1965), pp. 21–30.
[48] J., HINTIKKA, Towards a theory of inductive generalization, Logic, methodology and philosophy of science, proceedings of the 1964 international congress (Y., Bar-Hillel, editor), Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1965, pp. 274–288.
[49] J., HINTIKKA, Atwo dimensional continuum of inductive methods, Aspects of inductive logic (J., Hintikka and P., Suppes, editors), North Holland, Amsterdam, 1966, pp. 113–132.
[50] J., HINTIKKA and I., NIINILUOTO, An axiomatic foundation of the logic of inductive generalization, Formal methods in the methodology of the empirical sciences (M., Przelecki, K., Szaniawski, and R., Wójcicki, editors), Synthese Library, vol. 103, Kluwer, Dordrecht, 1976, pp. 57–81.
[51] J., HINTIKKA, An axiomatic foundation for the logic of inductive generalization, Studies in inductive logic and probability (R. C., Jeffrey, editor), vol. II, University of California Press, 1980, pp. 157–192.
[52] D. N., HOOVER, Relations on probability spaces and arrays of random variables, Preprint, Institute of Advanced Study, Princeton, 1979.
[53] E., HOWARTH and J. P., Paris, The theory of spectrum exchangeability, Review of Symbolic Logic, to appear.
[54] J., HUMBURG, The principle of instantial relevance, Studies in inductive logic and probability (R., Carnap and R. C., Jeffrey, editors), vol. I, University of California Press, Berkeley and Los Angeles, 1971, pp. 225–233.
[55] V. S., Huzurbazar, On the certainty of an inductive inference, Proceedings of the Cambridge Philosophical Society, vol. 51 (1955), pp. 761–762.
[56] E. T., JAYNES, The well-posed problem, Foundations of Physics, vol. 3 (1973), pp. 477–492.
[57] R. C., JEFFREY, Carnap's inductive logic, Synthese, vol. 25 (1973), no. 3–4, pp. 299–306.
[58] W. E., JOHNSON, Probability: The deductive and inductive problems, Mind, vol. 41 (1932), pp. 4099–423.
[59] J., JOYCE, Accuracy and coherence: Prospects for an alethic epistemology of partial belief, Degrees of belief (F., Huber and C., Schmidt-Petri, editors), Springer, 2009, pp. 263–300.
[60] O., KALLENBERG, Probabilistic symmetries and invariance principles, Springer, 2005.
[61] J. G., KEMENY, Extension of methods of inductive logic, Philosophical Studies, vol. 3 (1952), no. 3, pp. 38–42.
[62] J. G., KEMENY, A contribution to inductive logic, Philosophy and Phenomenological Research, vol. 13 (1953), no. 3, pp. 371–374.
[63] J. G., KEMENY, Fair bets and inductive probabilities, The Journal of Symbolic Logic, vol. 20 (1955), pp. 263–273.
[64] J. G., KEMENY, Carnap's theory of probability and induction, The philosophy of Rudolf Carnap (P. A., Schilpp, editor), La Salle, Illinois, Open Court, 1963, pp. 711–738.
[65] J. M., KEYNES, A treatise on probability, Macmillan & Co, 1921.
[66] J. F. C., KINGMAN, The representation of partition structures, Journal of the London Mathematical Society, vol. 18 (1978), pp. 374–380.
[67]J. F. C., KINGMAN, The mathematics of genetic diversity, SIAM, Philadelphia, 1980.
[68] M., KLIEß and J. B., Paris, Predicate exchangeability and language invariance in pure inductive logic, Logique et Analyse, Proceedings of the 1st Reasoning Club Meeting University Foundation, Brussels. (J. P. van, Bendegem and J., Murzi, editors), 2012, to appear.
[69] P. H., KRAUSS, Representation of symmetric probability models, The Journal of Symbolic Logic, vol. 34 (1969), no. 2, pp. 183–193.
[70] J. L., KRIVINE, Anneaux préordonnés, Journal d'Analyse Mathematique, vol. 12 (1964), pp. 307–326.
[71] T. A. F., KUIPERS, On the generalization of the continuum of inductive methods to universal hypotheses, Synthese, vol. 37 (1978), no. 3, pp. 255–284.
[72] T. A. F., KUIPERS, Studies in inductive probability and rational expectation, D. Reidel, Dordrecht, 1978.
[73] T. A. F., KUIPERS, A survey of inductive systems, Studies in inductive logic and probability (R. C., Jeffrey, editor), vol. II, University of California Press, 1980, pp. 183–192.
[74] J., LANDES, The principle of spectrum exchangeability within inductive logic, Ph. D.thesis, The University of Manchester, 2009, Available at http://www.maths.manchester.ac.uk/~jeff/.
[75] J., LANDES, J. B., PARIS, and A., VENCOVSKÁ, Some aspects of polyadic inductive logic, Studia Logica, vol. 90 (2008), pp. 3–16.
[76] J., LANDES, Instantial relevance in polyadic inductive logic, Proceedings of the 3rd India Logic Conference, ICLA 2009 (R., Ramanujam and Sundar, Sarukkai, editors), Lecture Notes in Artificial Intelligence, vol. 5378, Springer, 2009, pp. 162–169.
[77] J., LANDES, Representation theorems for probability functions satisfying spectrum exchangeability in inductive logic, International Journal of Approximate Reasoning, vol. 51 (2009), no. 1, pp. 35–55.
[78] J., LANDES, A characterization of the language invariant families satisfying spectrum exchangeability in polyadic inductive logic, Annals of Pure and Applied Logic, vol. 161 (2010), pp. 800–811.
[79] J., LANDES, Survey of some recent results on spectrum exchangeability in polyadic inductive logic, Synthese, vol. 181 (2011), no. 1, pp. 19–47.
[80] M., LANGE, Hume and the problem of induction, Inductive logic (D., Gabbay, S., Hartmann, and A., Woods, editors), Handbook of the History of Logic, vol. 10, Elsevier, 2011, pp. 43–91.
[81] R. S., LEHMAN, On confirmation and rational betting, The Journal of Symbolic Logic, vol. 20 (1955), pp. 251–262.
[82] H., LEITGEB and R., PETTIGREW, An objective justification of Bayesianism I: Measuring inaccuracy, Philosophy of Science, vol. 77 (2010), pp. 201–235.
[83] H., LEITGEB, An objective justification of Bayesianism II: The consequences of minimizing inaccuracy, Philosophy of Science, vol. 77 (2010), pp. 236–272.
[84] D., LEWIS, A subjectivist's guide to objective chance, Studies in inductive logic and probability (R. C., Jeffrey, editor), vol. II, University of California Press, 1980, pp. 263–293.
[85] P., LOEB, Conversion from nonstandard to standard measure spaces and applications to probability, Transactions of the American Mathematical Society, vol. 211 (1975), pp. 113–122.
[86] L. E., LOEMKER, G. W. Leibniz: Philosophical papers and letters, D. Reidel, Dordrecht, 1969.
[87] P., MAHER, Probabilities for multiple properties: The models of Hesse, Carnap and Kemeny, Erkenntnis, vol. 55 (2001), pp. 183–216.
[88] P., MAHER, A conception of inductive logic, Philosophy of Science, vol. 73 (2006), pp. 513–520.
[89] M. C., DI MAIO, Predictive probability and analogy by similarity, Erkenntnis, vol. 43 (1995), no. 3, pp. 369–394.
[90] M., MARSHALL, Positive polynomials and sums of squares, Mathematical Surveys and Monographs, vol. 146, American Mathematical Society, 2008.
[91] E., MENDELSON, Introduction to mathematical logic, 4th ed., Chapman & Hall, London–New York, 1997.
[92] I., NIINILUOTO, On a K-dimensional system of inductive logic, Proceedings of the biennial meeting of the philosophy of science association, vol. 1976, Volume Two: Symposia and invited papers, University of Chicago Press, 1976, pp. 425–447.
[93] I., NIINILUOTO, The development of the Hintikka program, Inductive logic (D., Gabbay, S., Hartmann, and A., Woods, editors), Handbook of the History of Logic, vol. 10, Elsevier, 2011, pp. 311–356.
[94] C. J., NIX, Probabilistic induction in the predicate calculus, Ph.D. thesis, University of Manchester, 2005, Available at http://www.maths.manchester.ac.uk/~jeff/.
[95] C. J., NIX and J. B., PARIS, A continuum of inductive methods arising from a generalized principle of instantial relevance, Journal of Philosophical Logic, vol. 35 (2006), no. 1, pp. 83–115.
[96] C. J., NIX, A note on binary inductive logic, Journal of Philosophical Logic, vol. 36 (2007), no. 6, pp. 735–771.
[97] J. B., PARIS, The uncertain reasoner's companion, Cambridge University Press, 1994.
[98] J. B., PARIS, Common sense and maximum entropy, Synthese, vol. 117 (1999), pp. 75–93.
[99] J. B., PARIS, On the distribution of probability functions in the natural world, Probability theory: Philosophy, recent history and relations to science (V. F., Hendricks, S. A., Pedersen, and K. F., Jogensen, editors), Synthese Library, vol. 297, Kluwer, Dordrecht, 2001, pp. 125–145.
[100] J. B., PARIS, Pure inductive logic, The continuum companion to philosophical logic (L., Horsten and R., Pettigrew, editors), Continuum International Publishing Group, London, 2011, pp. 428–449.
[101] J. B., PARIS, An observation on Carnap's continuum and stochastic independencies, Journal of Applied Logic, vol. 11 (2013), no. 4, pp. 421–429.
[102] J. B., PARIS, A note on *-conditioning, see http://www.maths.manchester.ac.uk/~jeff/.
[103] J. B., PARIS, A note on Gaifman's condition, see http://www.maths.manchester.ac.uk/~jeff/.
[104] J. B., PARIS and A., VENCOVSKÁ, On the applicability of maximum entropy to inexact reasoning, International Journal of Approximate Reasoning, vol. 3 (1989), no. 1, pp. 1–34.
[105] J. B., PARIS, A note on the inevitability of maximum entropy, International Journal of Approximate Reasoning, vol. 4 (1990), no. 3, pp. 183–224.
[106] J. B., PARIS, In defense of the maximum entropy inference process, International Journal of Approximate Reasoning, vol. 17 (1997), no. 1, pp. 77–103.
[107] J. B., PARIS, Common sense and stochastic independence, Foundations of Bayesianism (D., Corfield and J., Williamson, editors), Kluwer Academic Press, 2001, pp. 203–240.
[108] J. B., PARIS, A general representation theorem for probability functions satisfying spectrum exchangeability, Computability in Europe, CiE 2009 (K., Ambros-Spies, B., Löwe, and W., Merkle, editors), Lecture Notes in Computer Science, vol. 5635, Springer, 2009, pp. 379–388.
[109] J. B., PARIS, A generalization of Muirhead's inequality, Journal of Mathematical Inequalities, vol. 3 (2009), no. 2, pp. 181–187.
[110] J. B., PARIS, From unary to binary inductive logic, Games, norms and reasons – logic at the crossroads (J., van Bentham, A., Gupta, and E., Pacuit, editors), Synthese Library, vol. 353, Springer, 2011, pp. 199–212.
[111] J. B., PARIS, A note on irrelevance in inductive logic, Journal of Philosophical Logic, vol. 40 (2011), no. 3, pp. 357–370.
[112] J. B., PARIS, Symmetry's end?, Erkenntnis, vol. 74 (2011), no. 1, pp. 53–67.
[113] J. B., PARIS, Postscript to ‘Symmetry's end?’, available at http://www.maths.manchester.ac.uk/~jeff/papers/jp90605.pdf.
[114] J. B., PARIS, Symmetry principles in polyadic inductive logic, Journal of Logic, Language and Information, vol. 21 (2012), pp. 189–216.
[115] J. B., PARIS, The twin continua of inductive methods, Logic without borders (Å., Hirvonen, J., Kontinen, R., Kossak, and A., Villaveces, editors), Ontos Mathematical Logic, vol. 5, de Gruyter, 2014, to appear.
[116] J. B., PARIS, A., VENCOVSKÁ, and G. M., Wilmers, A natural prior probability distribution derived from the propositional calculus, Annals of Pure and Applied Logic, vol. 70 (1994), no. 3, pp. 243–285.
[117] J. B., PARIS and P., WATERHOUSE, Atom exchangeability and instantial relevance, Journal of Philosophical Logic, vol. 38 (2009), no. 3, pp. 313–332.
[118] J. B., PARIS, P. N., WATTON, and G. M., WILMERS, On the structure of probability functions in the natural world, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 8 (2000), no. 3, pp. 311–329.
[119] R., PETTIGREW, Epistemic utility arguments for probabilism, The Stanford Encyclopedia of Philosophy (E., Zalta, editor), winter 2011 ed., 2011, http://plato.stanford.edu/archives/win2011/entries/epistemic-utility/.
[120] G., POLYA, Induction and analogy in mathematics, volume I of mathematics and plausible reasoning, Geoffrey Cumberlege, Oxford University Press, 1954.
[121] G., POLYA, Patterns of plausible inference, volume II of mathematics and plausible reasoning, Geoffrey Cumberlege, Oxford University Press, 1954.
[122] F. P., RAMSEY, The foundations of mathematics and other logical essays, Routledge & Kegan Paul, London, 1931.
[123] J. W., ROMEIJN, Analogical predictions for explicit simmilarity, Erkenntnis, vol. 64 (2006), no. 2, pp. 253–280.
[124] T., RONEL, Ph. D.thesis, The University of Manchester, to appear.
[125] T., RONEL and A., VENCOVSKÁ, Invariance principles in polyadic inductive logic, Logique et Analyse, Proceedings of the 1st Reasoning Club Meeting (J. P., van Bendegem and J., Murzi, editors), University Foundation, Brussels, 2012, to appear.
[126] H. L., ROYDEN, Real analysis, second ed., The Macmillan Company, 1963.
[127] W. C., SALMON, The foundations of scientific inference, University of Pittsburgh Press, 1967.
[128] L. J., SAVAGE, The foundations of statistics, Wiley, NewYork, 1954.
[129] M., SCHERVISH, Theory of statistics, Springer-Verlag, 1995.
[130] P. A., SCHILPP (editor), The philosophy of Rudolf Carnap, Open Court Publishing Company, La Salle, Illinois, 1963.
[131] R., SCHWARTZ, The demise of syntactic and semantic models, Inductive logic (D., Gabbay, S., Hartmann, and A., Woods, editors), Handbook of the History of Logic, vol. 10, Elsevier, 2011, pp. 391–414.
[132] D., SCOTT and P., KRAUSS, Assigning probabilities to logical formulas, Aspects of inductive logic (J., Hintikka and P., Suppes, editors), North Holland, Amsterdam, 1966, pp. 219–259.
[133] A., SHIMONY, Coherence and the axioms of confirmation, The Journal of Symbolic Logic, vol. 20 (1955), no. 1–28.
[134] J. E., SHORE and R. W., JOHNSON, Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy, IEEE Transactions on Information Theory, vol. IT-26 (1980), pp. 26–37.
[135] B., SKYRMS, Choice and chance: An introduction to inductive logic, 3rd ed., Wadsworth, Belmont, CA, 1986.
[136] B., SKYRMS, Analogy by similarity in hyper-Carnapian inductive logic, Philosophical problems of the internal and external worlds (J., Earman, A.I., Janis, G., Massey, and N., Rescher, editors), University of Pittsburgh Press, 1993, pp. 273–282.
[137] D., STALKER (editor), Grue! The new riddle of induction, Open Court, 1994.
[138] P., SUPPES, Probabilistic inference and the concept of total evidence, Aspects of inductive logic (J., Hintikka and P., Suppes, editors), North-Holland, Amsterdam, 1966, pp. 49–65.
[139] P., TELLER, Conditionalization, observation and change of preference, Foundations of probability theory, statistical inference and statistical theories of science (W., Harpers and C. A., Hooker, editors), D. Reidel, Dordrecht, 1976, pp. 205–253.
[140] B. C., VAN FRAASSEN, Laws and symmetry, Oxford University Press, Oxford, 1989.
[141] A., VENCOVSKÁ, Binary induction and Carnap's continuum, Proceedings of the 7th workshop on uncertainty processing (WUPES), Mikulov, Czech Republic, 2006, Available at http://www.utia.cas.cz/files/mtr/articles/data/vencovska.pdf.
[142] J., VICKERS, The problem of induction, The Stanford Encyclopedia of Philosophy (E., Zalta, editor), fall 2011 ed., 2011, http://plato.stanford.edu/archives/fall2011/entries/induction-problem/.
[143] G. H., VON Wright, The logical problem of induction, 2nd ed., Blackwell, Oxford, 1957.
[144] P. J., WATERHOUSE, Probabilistic relationships, relevance and irrelevance within the field of uncertain reasoning, Ph. D. thesis, The University of Manchester, 2007, Available at http://www.maths.manchester.ac.uk/~jeff/theses/pwthesis.pdf.
[145] J., WILLIAMSON, In defence of objective Bayesianism, Oxford University Press, 2010.
[146] S. L., ZABELL, W. E. Johnson's “sufficientness” postulate, Annals of Statistics, vol. 10 (1982), pp. 1091–1099.
[147] S. L., ZABELL, Predicting the unpredictable, vol. 90 (1992), pp. 205–232.
[148] S. L., ZABELL, Symmetry and its discontents, Cambridge University Press, New York, 2005.
[149] S. L., ZABELL, Carnap and the logic of induction, Inductive logic (D., Gabbay, S., Hartmann, and A., Woods, editors), Handbook of the History of Logic, vol. 10, Elsevier, 2010, pp. 265–310.

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