It's not as simple as that. Knowledge is necessary, too. An intuitive child couldn't accomplish anything without some knowledge. There will come a point in everyone's life, however, where only intuition can make the leap ahead, without ever knowing precisely how. One can never know why, but one must accept intuition as a fact.
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Notes from Wikiquote
In response to statement "You once told me that progress is made only by intuition, and not by the accumulation of knowledge."
Variants
transcription from "Death of a Genius" in Life Magazine: "It is not quite so simple. Knowledge is necessary too. A child with great intuition could not grow up to become something worthwhile in life without some knowledge. However there comes a point in everyone's life where only intuition can make the leap ahead, without knowing precisely how."