more from Richard L. Kirkham

Single Idea 19315

[catalogued under 5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic]

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 Reference

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 [Kirkham]