Single Idea 19317

[catalogued under 5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction]

Full Idea

An object satisfies an open sentence if and only if it possesses the property expressed by the predicate of the open sentence.

Gist of Idea

An open sentence is satisfied if the object possess that property

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.153


A Reaction

This applies to atomic sentence, of the form Fx or Fa (that is, some variable is F, or some object is F). So strictly, only the world can decide whether some open sentence is satisfied. And it all depends on things called 'properties'.