“All truly creative thought is in some sense intuitive; it demands a leap forward into the dark world of uncreated reality. Seen in this way, intuition is not the abdication of reason but rather reason speeded up, encapsulated in an instant, so that a solution appears without the usual laborious logical preparations. A creative genius comes back from this undiscovered country like ones of the the heroes of antiquity, who has wrested something back from the gods and brought it to mankind. It is possible, perhaps, to see religious inspiration in a similar way.”

Internet Encyclopedia of Philosophy

Academy of Achievement interview (1991)
Context: Reason alone will not serve. Intuition alone can be improved by reason, but reason alone without intuition can easily lead the wrong way. They both are necessary. The way I like to put it is that when I have an intuition about something, I send it over to the reason department. Then after I've checked it out in the reason department, I send it back to the intuition department to make sure that it's still all right. That's how my mind works, and that's how I work. That's why I think that there is both an art and a science to what we do. The art of science is as important as so-called technical science. You need both. It's this combination that must be recognized and acknowledged and valued.

Source: 1910s, Our Knowledge of the External World (1914), p. 21

In response to statement "You once told me that progress is made only by intuition, and not by the accumulation of knowledge."
Variant 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.":
Source: Attributed in posthumous publications, Einstein and the Poet (1983), p. 137

Source: 1910s, Mysticism and Logic and Other Essays http://archive.org/stream/mysticism00russuoft/mysticism00russuoft_djvu.txt (1918), Ch. 1: Mysticism and Logic

Source: The Righteous Mind: Why Good People are Divided by Politics and Religion