Intensional and extensional truth
Intensional and extensional truth

Summary/Abstract: Using the Rudolph Carnap’s method of intension and extension, we can distinguish three categories of linguistic expressions: 1) names having a constant extension and a variable intension; 2) terms with a constant intension and a variable extension; 3) descriptions for which both intension and extension are constants. Propositions, at their turn, support two kinds of interpretations, intensional and extensional. The truth values of propositions depend on their reference as it follows: 1) the truth value of a proposition with an empty reference is given by its intensional interpretation; 2) if the reference of a proposition is not void, then the truth value of that proposition is extensionally determined. Starting from these results, some paradoxes, like “The present King of France” or Darapti, can be solved.

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