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Full Idea
In a quantified language it is possible to build new sentences by combining two expressions neither of which is itself a sentence.
Gist of Idea
In quantified language the components of complex sentences may not be sentences
Source
Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.4)
Book Ref
Kirkham,Richard L.: 'Theories of Truth: a Critical Introduction' [MIT 1995], p.150
A Reaction
In propositional logic the components are other sentences, so the truth value can be given by their separate truth-values, through truth tables. Kirkham is explaining the task which Tarski faced. Truth-values are not just compositional.
Related Idea
Idea 19316 Insight: don't use truth, use a property which can be compositional in complex quantified sentence [Tarski, by Kirkham]
| 18369 | There are at least fourteen candidates for truth-bearers [Kirkham] |
| 19318 | A 'sequence' of objects is an order set of them [Kirkham] |
| 19319 | If one sequence satisfies a sentence, they all do [Kirkham] |
| 19315 | In quantified language the components of complex sentences may not be sentences [Kirkham] |
| 19317 | An open sentence is satisfied if the object possess that property [Kirkham] |
| 19320 | If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham] |
| 19322 | Why can there not be disjunctive, conditional and negative facts? [Kirkham] |