Reasoning with limited resources and assigning probabilities to arithmetical statements
Synthese 140 (1-2):97 - 119 (2004)
| Abstract | There are three sections in this paper. The first is a philosophical discussion of the general problem of reasoning under limited deductive capacity. The second sketches a rigorous way of assigning probabilities to statements in pure arithmetic; motivated by the preceding discussion, it can nonetheless be read separately. The third is a philosophical discussion that highlights the shifting contextual character of subjective probabilities and beliefs. | |||||||||
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Henry E. Kyburg (1992). Getting Fancy with Probability. Synthese 90 (2):189-203.
Manfred Jaeger (2005). A Logic for Inductive Probabilistic Reasoning. Synthese 144 (2):181 - 248.
Rainer Gottlob (2000). New Aspects of the Probabilistic Evaluation of Hypotheses and Experience. International Studies in the Philosophy of Science 14 (2):147 – 163.
James Logue (1995). Projective Probability. Oxford University Press.
John Bigelow & Robert Pargetter (1987). An Analysis of Indefinite Probability Statements. Synthese 73 (2):361 - 370.
Paul Weirich (1983). Conditional Probabilities and Probabilities Given Knowledge of a Condition. Philosophy of Science 50 (1):82-95.
John C. Harsanyi (1983). Bayesian Decision Theory, Subjective and Objective Probabilities, and Acceptance of Empirical Hypotheses. Synthese 57 (3):341 - 365.
S. B. (1997). Henri Poincare and Bruno de Finetti: Conventions and Scientific Reasoning. Studies in History and Philosophy of Science Part A 28 (4):657-679.
Franz Huber (2005). Subjective Probabilities as Basis for Scientific Reasoning? British Journal for the Philosophy of Science 56 (1):101-116.
B. D. Katz & D. Olin (2010). Conditionals, Probabilities, and Utilities: More on Two Envelopes. Mind 119 (473):171-183.
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