Carnap's continuum of inductive methods

E305938

Carnap's continuum of inductive methods is a family of formal Bayesian-style confirmation functions that systematically vary how evidence updates degrees of belief in logical probability theory.

All labels observed (4)

How this entity was disambiguated

Statements (49)

Predicate Object
instanceOf Bayesian-style inductive method ⓘ
concept in philosophy of science ⓘ
family of confirmation functions ⓘ
formal system of inductive logic ⓘ
aimsToCapture rational learning from experience ⓘ
appliesTo languages with finitely many predicates ⓘ
simple first-order languages ⓘ
assumes exchangeability of observations ⓘ
logical symmetry between individuals ⓘ
logical symmetry between predicates (in some versions) ⓘ
characterizedAs family of confirmation functions indexed by a parameter λ ⓘ
systematic variation of how evidence updates degrees of belief ⓘ
criticizedFor dependence on language choice ⓘ
idealization of logical omniscience ⓘ
limited applicability to real scientific theories ⓘ
developedBy Rudolf Carnap ⓘ
formalizes inductive confirmation ⓘ
hasGoal to define objective confirmation measures given a language ⓘ
to provide a rational reconstruction of inductive reasoning ⓘ
hasHistoricalPeriod mid-20th century ⓘ
hasInterpretation different λ values represent different attitudes toward evidence ⓘ
hasLimitingCase methods that follow observed frequencies closely (extreme boldness) ⓘ
methods that ignore new evidence (extreme caution) ⓘ
hasMember Carnap's c* function ⓘ
Carnap's straight rule ⓘ
Laplace's rule of succession (as a special case) ⓘ
hasTheoreticalContext Bayesian confirmation theory ⓘ
inductive logic ⓘ
logical probability theory ⓘ
influenced formal epistemology ⓘ
philosophy of confirmation ⓘ
introducedInWork Rudolf Carnap's Logical Foundations of Probability ⓘ
Rudolf Carnap's The Continuum of Inductive Methods ⓘ
involves prior probability distributions over state descriptions ⓘ
updating by conditional probability on evidence ⓘ
isSpecialCaseOf Bayesian updating with specific priors ⓘ
relatedConcept confirmation function ⓘ
inductive method parameter c ⓘ
logical probability ⓘ
principle of indifference (in logical probability) ⓘ
relatedTo Bayesian conditionalization ⓘ
logical interpretation of probability ⓘ
studiedIn formal epistemology literature ⓘ
history of analytic philosophy ⓘ
usesParameter c ⓘ
λ ⓘ
variesWith degree of caution in inductive inference ⓘ
speed of convergence to limiting frequencies ⓘ
weight assigned to prior evidence ⓘ

How these facts were elicited

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Logical Foundations of Probability → relatedTo → Carnap's continuum of inductive methods ⓘ
Observational selection effects and probability → mainSubject → Bayesian confirmation theory ⓘ
linked to: Carnap's continuum of inductive methods
Carnap's continuum of inductive methods → introducedInWork → Rudolf Carnap's The Continuum of Inductive Methods ⓘ
linked to: Carnap's continuum of inductive methods
Carnap's continuum of inductive methods → hasMember → Carnap's straight rule ⓘ
linked to: Carnap's continuum of inductive methods