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Single Idea 11968

[filed under theme 19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics ]

Full Idea

Carnap's proposal is to understand the category of intensions appropriate to sentences (his 'propositions') as sets of possible worlds. The intension of the sentence is taken as the set of all possible worlds in which the sentence is true.

Gist of Idea

The intension of a sentence is the set of all possible worlds in which it is true

Source

report of Rudolph Carnap (Meaning and Necessity [1947]) by David Kaplan - Transworld Heir Lines p.90

Book Ref

'The Possible and the Actual', ed/tr. Loux,Michael J. [Cornell 1979], p.90


A Reaction

[reference?] This extension of the truth-conditions view of meaning strikes me as being very attractive. Except that whole worlds hardly seem to be relevant to my remark about how lunch might have been improved.


The 20 ideas from Rudolph Carnap

Metaphysics uses empty words, or just produces pseudo-statements [Carnap]
Logical positivists incorporated geometry into logicism, saying axioms are just definitions [Carnap, by Shapiro]
Internal questions about abstractions are trivial, and external ones deeply problematic [Carnap, by Szabó]
Empiricists tend to reject abstract entities, and to feel sympathy with nominalism [Carnap]
Existence questions are 'internal' (within a framework) or 'external' (concerning the whole framework) [Carnap]
To be 'real' is to be an element of a system, so we cannot ask reality questions about the system itself [Carnap]
Questions about numbers are answered by analysis, and are analytic, and hence logically true [Carnap]
We only accept 'things' within a language with formation, testing and acceptance rules [Carnap]
New linguistic claims about entities are not true or false, but just expedient, fruitful or successful [Carnap]
A linguistic framework involves commitment to entities, so only commitment to the framework is in question [Carnap]
No possible evidence could decide the reality of numbers, so it is a pseudo-question [Carnap]
All linguistic forms in science are merely judged by their efficiency as instruments [Carnap]
Good explications are exact, fruitful, simple and similar to the explicandum [Carnap, by Salmon]
All concepts can be derived from a few basics, making possible one science of everything [Carnap, by Brody]
Carnap tried to define all scientific predicates in terms of primitive relations, using type theory [Carnap, by Button]
Each person is free to build their own logic, just by specifying a syntax [Carnap]
Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]
The intension of a sentence is the set of all possible worlds in which it is true [Carnap, by Kaplan]
In the truth-functional account a burnt-up match was soluble because it never entered water [Carnap]
All translation loses some content (but language does not create reality) [Carnap]