ideate

Like idea and ideal, ideate comes from the Greek verb idein, which means "to see." The sight-thought connection came courtesy of Plato, the Greek philosopher who based his theory of the ideal on the concept of seeing, claiming that a true philosopher can see the essential nature of things and can recognize their ideal form or state. Early uses of idea, ideal, and ideate in English were associated with Platonic philosophy; idea meant "an archetype" or "a standard of perfection," ideal meant "existing as an archetype," and ideate referred to forming Platonic ideas. But though ideate is tied to ancient philosophy, the word itself is a modern concoction, relatively speaking. It first appeared in English only about 400 years ago.