Aczél, J. (1966). *Lectures on functional equations and their applications*. New York and London: Academic Press. (Reprinted 2006, Mineola NY: Dover). (Supplemented English translation of *Vorlesungen über Funktionalgleichungen und ihre Anwendungen*. Basel: Birkhäuser, 1961.)

Aczél J., Daróczy Z. (1975) On measures of information and their characterization, Volume 115 of Mathematics in science and engineering. Academic Press, New York and London

Google ScholarAczél J., Pfanzagl J. (1966) Remarks on the measurement of subjective probability and information. Metrika 2: 91–105

Google ScholarArnborg, S., & Sjödin, G. (2001). On the foundations of Bayesianism. In A. Mohammad-Djarafi (Ed.), *Bayesian inference and maximum entropy methods in science and engineering, 20th international workshop, Gif-sur-Yvette (France), 2000*. Vol. 568 of *AIP conference proceedings* (pp. 61–71). American Institute of Physics.

Bar-Hillel, Y. (1952). Semantic information and its measures. In *Transactions of the tenth conference on cybernetics* (pp. 33–48). New York: Josiah Macy Jr., Foundation. (Reprinted In *Language and information: Selected essays on their theory and application*, pp. 298–310, Y. Bar-Hillel, Ed., 1964, Reading, MA: Addison-Wesley.)

Carnap R., Bar-Hillel Y. (1953) Semantic information. British Journal for the Philosophy of Science 4: 147–157

Google ScholarCsiszár I. (2008) Axiomatic characterizations of information measures. Entropy 10: 261–273

CrossRefGoogle ScholarDebreu G. (1954) Representation of preference ordering by a numerical function. In: Thrall R., Coombs C., David R. (eds) Decision processes. Wiley, New York, pp 159–165

Google ScholarDummett, M. A. E. (1976). What is a theory of meaning? (II). In G. Evans, J. McDowell (Eds.), *Truth and meaning: Essays in semantics* (pp. 67–137). Oxford: Oxford University Press. (Reprinted in Dummett, *The seas of language*, pp. 34–93, 1996, Oxford: Oxford University Press, Page reference to the reprint.)

Dummett M. A. E. (1978) Truth and other enigmas. Duckworth, London

Google ScholarEdgington, D. (1986). Do conditionals have truth conditions? *Crítica* 18, 3–39. (Reprinted In *Conditionals*, pp. 176–201, F. Jackson, (Ed.), 1991, Oxford: Oxford University Press.)

Good, I. J. (1962). Subjective probability as the measure of an unmeasurable set. In E. Nagel, P. Suppes, & A. Tarski (Eds.), *Logic, methodology and philosophy of science* (pp. 319–329). Stanford: Stanford University Press. (Reprinted In *Studies in subjective probability*, second edition, pp. 133–146, H. Kyburg, & H. Smokler, Eds., 1980, Huntington NY: Krieger, Page reference to the reprint.)

Hacking I. (1965) The logic of statistical inference. Cambridge University Press, Cambridge

Google ScholarIngarden R. S., Urbanik K. (1962) Information without probability. Colloquium Mathematicum 9: 131–150

Google ScholarJoyce, J. M. (2009). Accuracy and coherence: Prospects for an alethic epistemology of partial belief. In F. Huber & C. Schmidt-Petri (Eds.), *Degrees of belief, Vol. 342 of synthese library* (pp. 263–266) New York: Springer.

Keynes J. M. (1921) A treatise on probability. Macmillan, London (Reprinted 2004, Mineola NY: Dover.)

Google ScholarKolmogorov, A. (1929). General measure theory and probability calculus. *Sbornik rabot Matematicheskogo Razdela. Kommunisticheskaya Akademiya, Sektsiya Estestvennikh i Tochnikh Nauk* 1, 8–21. (In Russian. English translation in A. N. Shiryayev (Ed.), *Selected Works of A. N. Kolmogorov. Vol. II, Probability theory and mathematical statistics* (pp. 48–59). (G. Lundquist, Trans.). Dordrecht: Kluwer (1992).)

Koopman B. O. (1940a) The axioms and algebra of intuitive probability. Annals of Mathematics 41: 269–292

CrossRefGoogle ScholarKoopman, B. O. (1940b). The bases of probability. *Bulletin of the American Mathematical Society*. 46, 763–774. (Reprinted In: H. Kyburg, H. Smokler (Eds.), *Studies in subjective probability* second ed., pp. 117–131, 1980, Huntington NY: Krieger.)

Luce R.D., Suppes P., Tversky A. (1971) Foundations of measurement, Vol. I, additive and polynomial representations. Academic Press, San Diego and London

Google ScholarMalmnäs P.-E. (1981) From qualitative to quantitative probability, Vol. 7 of Stockholm Studies in Philosophy. Almqvist and Wiksell, Stockholm

Google ScholarMilne, P. (2011). On measures of confirmation. *British Journal for the Philosophy of Science*, (to appear).

Morgan C., Mares E. (1995) Conditionals, probability, and non-triviality. Journal of Philosophical Logic 24: 455–467

CrossRefGoogle ScholarOsteyee, D. B. & Good, I. J. (1974). *Information, weight of evidence, the singularity between probability measures and signal detection*, Vol. 376 of *Lecture notes in mathematics*. Berlin, Heidelberg and New York: Springer.

Paris , J. B. (1994) The uncertain reasoner’s companion: A mathematical perspective, Vol. 39 of Cambridge tracts in theoretical computer science. Cambridge University Press, Cambridge

Google ScholarPopper, K. R. (1959). *Logic of scientific discovery*. London: Hutchinson. (Expanded English translation of *Logik der Forschung*, Vienna: Springer, 1935.)

Popper, K. R. (1972). *Conjectures and refutations* (fourth ed.). London: Routledge and Kegan Paul. First edition, 1963.

Roeper P., Leblanc H. (1991) Indiscernibility and identity in probability theory. Notre Dame Journal of Formal Logic 32: 1–46

CrossRefGoogle ScholarSchroeder M. J. (2004) An alternative to entropy in the measurement of information. Entropy 6: 388–412

CrossRefGoogle ScholarSzpilrajn E. (1930) Sur l’expansion de l’ordre partiel. Fundamenta Mathematicae 16: 386–389

Google ScholarVan Horn K. S. (2003) Constructing a logic of plausible inference: A guide to Cox’s theorem. International Journal of Approximate Reasoning 34: 3–24

CrossRefGoogle ScholarWeirich P. (1983) Conditional probabilities and probabilities given knowledge of a condition. Philosophy of Science 50: 82–95

CrossRefGoogle Scholar