In formal logic, a contradiction is the signal of defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory.
It is not easy to convey, unless one has experienced it, the dramatic feeling of sudden enlightenment that floods the mind when the right idea finally clicks into place. One immediately sees how many previously puzzling facts are neatly explained by the new hypothesis. One could kick oneself for not having the idea earlier, it now seems so obvious. Yet before, everything was in a fog.
Most creativity is a transition from one context into another where things are more surprising. There’s an element of surprise, and especially in science, there is often laughter that goes along with the "Aha." Art also has this element. Our job is to remind us that there are more contexts than the one that we’re in - the one that we think is reality.
I am afraid I am one of those people who continues to read in the hope of sometime discovering in a book a single—and singular—piece of wisdom so penetrating, so soul stirring, so utterly applicable to my own life as to make all the bad books I have read seem well worth the countless hours spent on them. My guess is that this wisdom, if it ever arrives, will do so in the form of a generalization.
Everything that we call Invention or Discovery in the higher sense of the word is the serious exercise and activity of an original feeling for truth, which, after a long course of silent cultivation, suddenly flashes out into fruitful knowledge.
Yes, but with the Cube there are many flashes, there are many aha's.
When a scientist is ahead of his times, it is often through misunderstanding of current, rather than intuition of future truth. In science there is never any error so gross that it won't one day, from some perspective, appear prophetic.
From our point of view, the most exciting thing would be if we discovered something really fundamental in our understanding was just off a bit - and that now we have a chance to revisit it.
The search for information gives me more confidence, because confidence arises from understanding.
I don't know how to explain it, but when you're working on something constantly, and you're digging in deep, things kind of fall in, and you grab them, and you're like, 'That one!' and 'That thing!' and it starts to build something right.
What always seems miraculous is when aesthetic necessities yield an insight which otherwise I would have missed.
The answers I remember longest are the ones that answer questions that I didn't think of asking.