# Philosophy Dictionary of Arguments

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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.
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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.

Author Concept Summary/Quotes Sources

Hartry Field on Belief Degrees - Dictionary of Arguments

II 257
Belief Degree/BD/Conditional/Field: the classic laws of probability for belief degrees do not apply with conditionals. -
Disquotational Truth/Conditional: refers to the complete: "If Clinton dies, Gore becomes President" is true iff Clinton dies and Gore becomes President.
Non-disquotational: behaves like disquotational truth in simple sentences.
With conditionals: simplest solution: without truth value.
>Disquotationalism
, >Truth values, >Conditionals.
II 295
Belief Degree/Probability/Field: the classic law of the probability of disjunctions with mutually exclusive disjuncts does not apply for degrees of belief when vagueness is allowed.
>Probability, >Probablilty law.
II 296
Probability Function/Belief Degree: difference: for probability functions the conditional probability is never higher than the probability of the material conditional.
>Probability function.
II 300
Indeterminacy/Belief Degree/Field: the indeterminacy of a sentence A is determined by the amount for which its probability and its negation add up to less than 1. ((s) i.e. that there is a possibility that neither A nor ~A applies.)
II 302
Indeterminacy/Belief/Field: some: E.g. "belief" in opportunities is inappropriate, because they are never actual.
Solution: Acceptance of sentences about opportunities. - Also in indeterminacy.
Solution: belief degrees in things other than explanation.
II 310
Non-classical Belief Degrees/Indeterminacy/Field: E.g. that every "decision" about the power of the continuum is arbitrary, is a good reason to assume non-classical belief degrees.
Moderate non-classical logic: that some instances of the sentence cannot be asserted by the excluded middle.
>Excluded middle, >Non-classical logic.

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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

Ed. Martin Schulz, access date 2024-03-01