How did Rudolf Carnap connect the meaning of a sentence with its truth conditions?

Rudolf Carnap connected the meaning of a sentence to its truth conditions by identifying the two as fundamentally linked: to understand a sentence and know what it asserts is equivalent to knowing the conditions under which that sentence would be true.1

In his formal approach to the philosophy of science, Carnap utilized the concept of a formal language to define truth conditions—the necessary and sufficient conditions required for a sentence to be true. By establishing these conditions, he provided a rigorous framework for determining the meaning of assertions.1

Carnap emphasized that while knowing the truth condition of a sentence is distinct from knowing its actual truth-value, it serves as the essential starting point for determining that value. This perspective allowed him to distinguish between the meaning of a statement and the empirical evidence used to confirm it, helping to resolve certain philosophical perplexities regarding how we ground knowledge in experience.12