Logical Foundations of Probability
E63459
Logical Foundations of Probability is a seminal philosophical work by Rudolf Carnap that develops a rigorous logical and formal account of probability and inductive reasoning.
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
book
→
philosophical work → work on probability theory → |
| addresses |
the concept of confirmation
→
the foundations of probability theory → the justification of inductive inference → the problem of induction → |
| argues |
for a formal explication of inductive reasoning
→
that probability statements can be understood as logical relations between sentences → |
| author |
Rudolf Carnap
→
|
| contributesTo |
Bayesian epistemology
→
confirmation theory → formal epistemology → philosophy of science → |
| distinguishes |
inductive logic from deductive logic
→
logical probability from statistical frequency → |
| field |
epistemology
→
logic → philosophy → probability theory → |
| genre |
logic
→
philosophy of probability → philosophy of science → |
| influenced |
formal approaches to inductive logic
→
later work in Bayesian confirmation theory → philosophy of probability in the 20th century → |
| influencedBy |
Rudolf Carnap's earlier work on logical syntax
→
classical probability theory → logical empiricist program → |
| language |
English
→
|
| mainTopic |
Bayesian reasoning
→
axiomatization of probability → confirmation theory → degree of confirmation → inductive logic → inductive reasoning → logical empiricism → logical interpretation of probability → logical probability → probability → |
| philosophicalTradition |
logical empiricism
→
logical positivism → |
| proposes |
axiomatic treatment of probability as a logical relation
→
formal system for inductive logic → logical interpretation of probability as degree of confirmation → |
| relatedTo |
Bayesian interpretation of probability
→
Carnap's continuum of inductive methods → logical probability theory → |
| uses |
axiomatic methods
→
formal logical languages → measure-theoretic ideas about probability → |
Referenced by (1)
| Subject (surface form when different) | Predicate |
|---|---|
|
Rudolf Carnap
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|
notableWork |