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What's the difference between intelligence and imagination, and which is more useful in alleviating the human condition?

The difference between imagination and knowledge can be sharply defined. The difference between imagination and intelligence does not appear to be as easily delineated. One might say imagination is a subgroup of intelligence, but doesn't imagination often encompass the seemingly illogical? Or it might be said imagination is the catalyst for intellectual innovation, but isn't the imagined an interpolation of logical musing?

Albert Einstein said "Imagination is more important than knowledge." But what about intelligence and imagination?

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    Dec 11 2013: Here's the formula:
    Knowledge + imagination = Intelligence
    • Dec 14 2013: Often one finds imagination in children; before their minds become clouded by intelligence. So, a combination is ideal but separately they're not as good as in combination.I.e. out of the mouths of babes, often truths are said.

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