Reasoning with limited resources and assigning probabilities to arithmetical statements

Synthese 140 (1-2):97 - 119 (2004)
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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Thomas Icard (2016). Subjective Probability as Sampling Propensity. Review of Philosophy and Psychology 7 (4):863-903.

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