Philosophy Dictionary of ArgumentsHome
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| Belief degree, degree of belief: subjective assessment of the likelihood of an event. See also belief, probability, probability theory, Bayesianism, Principal Principle, subjective probability._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Robert Adams on Belief Degrees - Dictionary of Arguments
Field II 296 Adams-Conditional/Field: Suppose we add ">" to the general Adams conditional, which can only occur as a main operator, and which obeys the principle that the degree of belief in A > B is always the contingent degree of belief in B given A. Belief Degree/Field: If we assume that contingent and not contingent belief is represented by conditional or unconditional Q, we obtain that the degree of belief in A > B is equal to Q (B I A). Adams-Conditional/Field: the normal Adams conditional assuming that belief degrees obey the probability laws captures the "if ... then" better than the probability function of the conditional. >Conditional, >Probability functions, >Probability, >Probability law, >Conditional Probability, >cf. >Bayesianism, >Subjective Probability. In any case, this only occurs as a main connection: E.g. "when I try it, I will be added to the team ("If I try out for the yankees, I will make the team"). Then the general Adams-conditional seems appropriate for vagueness. >Vagueness. If that is so, then the belief degree of A > B should be: Q (DA I A). Probability function/belief degree: Difference: for the probability function, the contingent probability is never higher than the probability of the material conditional. >Probability function. Williamson/Field: for his argument (1 - 3), this is important: all premisses get the Q value 1 if "if ... then" are read as a general Adams conditional. Then the classic conclusion is not valid in this reading of "if ... then". >T. Williamson._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Field I H. Field Realism, Mathematics and Modality Oxford New York 1989 Field II H. Field Truth and the Absence of Fact Oxford New York 2001 Field III H. Field Science without numbers Princeton New Jersey 1980 Field IV Hartry Field "Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67 In Theories of Truth, Paul Horwich, Aldershot 1994 |
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> Counter arguments against Adams
> Counter arguments in relation to Belief Degrees
Ed. Martin Schulz, access date 2024-04-27