Probability, logic, and probability logic

In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Oxford, UK: Blackwell. pp. 362--384 (2001)
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Abstract

‘Probability logic’ might seem like an oxymoron. Logic traditionally concerns matters immutable, necessary and certain, while probability concerns the uncertain, the random, the capricious. Yet our subject has a distinguished pedigree. Ramsey begins his classic “Truth and Probability” with the words: “In this essay the Theory of Probability is taken as a branch of logic. … “speaks of “the logic of the probable.” And more recently, regards probabilities as estimates of truth values, and thus probability theory as a natural outgrowth of two‐valued logic—what he calls “probability logic.” However the point is put, probability theory and logic are clearly intimately related. This chapter explores some of the multifarious connections between probability and logic, and focuses on various philosophical issues in the foundations of probability theory.

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Citations of this work

Varieties of Probability in Clinical Diagnosis.Pierdaniele Giaretta & Daniele Chiffi - 2018 - Acta Baltica Historiae Et Philosophiae Scientiarum 6 (1):5-27.

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References found in this work

Truth and probability.Frank Ramsey - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 52-94.
What conditional probability could not be.Alan Hájek - 2003 - Synthese 137 (3):273--323.
The propensity interpretation of probability.Karl R. Popper - 1959 - British Journal for the Philosophy of Science 10 (37):25-42.

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