How did Rudolf Carnap distinguish analytic statements from empirical scientific statements?

Rudolf Carnap, a central figure in logical positivism, distinguished between analytic and empirical scientific statements based on their truth conditions and method of verification.

Analytic Statements

Carnap held that statements of logic and mathematics are analytic. These statements are considered true solely by virtue of the meanings of their constituent terms or the linguistic conventions underlying the symbols used. Because their truth is independent of the state of the world, they can be established a priori without requiring empirical testing.1

Empirical Scientific Statements

In contrast, empirical scientific statements are intended to describe the world. Carnap argued that such statements are not true by definition but must be grounded in immediate experience. He utilized the principle of verification, asserting that the meaning of an empirical statement is tied to the methods used to verify its truth or falsity through observation and experiment. While he initially sought full translation into experiential terms, he later adopted a more liberal view, suggesting that scientific terms are confirmed through reduction sentences and observation sentences. Statements lacking such observational implications were deemed empirically meaningless.23