Synthese 140 (1-2):97 - 119 (2004)

Authors
Haim Gaifman
Columbia University
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.
Keywords Philosophy   Philosophy   Epistemology   Logic   Metaphysics   Philosophy of Language
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DOI 10.1023/b:synt.0000029944.99888.a7
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References found in this work BETA

Slightly More Realistic Personal Probability.Ian Hacking - 1967 - Philosophy of Science 34 (4):311-325.
Probabilities Over Rich Languages, Testing and Randomness.Haim Gaifman & Marc Snir - 1982 - Journal of Symbolic Logic 47 (3):495-548.
Hempel on Explaining Action.Donald Davidson - 1976 - Erkenntnis 10 (3):239 - 253.
Difficulties in the Theory of Personal Probability.Leonard J. Savage - 1967 - Philosophy of Science 34 (4):305-310.

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Citations of this work BETA

Logical Ignorance and Logical Learning.Richard Pettigrew - 2021 - Synthese 198 (10):9991-10020.
Subjective Probability as Sampling Propensity.Thomas Icard - 2016 - Review of Philosophy and Psychology 7 (4):863-903.
Bayesianism II: Applications and Criticisms.Kenny Easwaran - 2011 - Philosophy Compass 6 (5):321-332.

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Getting Fancy with Probability.Henry E. Kyburg - 1992 - Synthese 90 (2):189-203.
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Projective Probability.James Logue - 1995 - Oxford, England: Oxford University Press.
New Aspects of the Probabilistic Evaluation of Hypotheses and Experience.Rainer Gottlob - 2000 - International Studies in the Philosophy of Science 14 (2):147 – 163.

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