John Venn’s opposition to probability as degree of belief |
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Authors: | Byron E. Wall |
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Affiliation: | aMaster, Norman Bethune College, York University, Toronto, Ontario M3J 1P3, Canada |
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Abstract: | John Venn is known as one of the clearest expounders of the interpretation of probability as the frequency of a particular outcome in a potentially unlimited series of possible events. This view he held to be incompatible with the alternate interpretation of probability as a measure of the degree of belief that would rationally be held about a certain outcome based upon the reliability of testimony and other prior information. This paper explores the reasons why Venn may have been so opposed to the degree-of-belief interpretation and suggests that it may have been a way for him to resolve a conflict in his own mind between his ideas of proper scientific methods of inference and the religious beliefs that he held as a young man. |
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Keywords: | John Venn Degree of belief Probability Frequency theory |
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