purely intuitive or analytic propositions

Purely intuitive propositions are statements we understand directly through our intuition or immediate insight without needing external evidence or reasoning—like recognizing something as true simply by feeling or instinct. Analytic propositions are statements that are true by definition, where the truth depends solely on the meanings of the words involved—such as "All bachelors are unmarried men." In both cases, their truth or understanding doesn't rely on observing the world but on internal comprehension or logical analysis, making them distinct from empirical propositions that require evidence from experience.