Creativity is the discovery of models in the absence of a gradient.
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Replying to @Plinz
But isn't there a gradient wherever you are? That plus your map of the known world should at least give you some rough directions where to head off to if you want to reach the unknown territory where the creative solution hides.
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Replying to @quasimondo
Without ordering possible solutions in a locally flat space, how could there be directions? And often, you will have to create such an ordering function for the first time.
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Replying to @Plinz
In order to judge the quality or novelty of a model you will have to have some reference system that allows to measure (relative) distances between the known ones. Which in turn would give you some form of direction as soon as you have at least two different concepts.
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Replying to @quasimondo
I think that you can measure distance as soon as you treat each difference relation as a quantifiable scalar, and you can map all dimensions of difference on a single one (usually by ignoring most of them). But if you increase that vector, you won't always find a valid object!
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Replying to @Plinz
Yes. Though I would say that you will always find an object by extrapolating from the known, but if the jump was too far you might not yet have developed the capabilities to fully recognize its validity. Like trying to build a bridge from the middle-out.
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Replying to @quasimondo
Imagine you are looking for a faster mode of transportation, and you start based on the differentials between bicycles and cars, which may result in more engines, even more wheels, and even more chassis, so you get a tank, but not an airplane.
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If you take car and a plane, you may extrapolate towards more distance from the ground, fewer wheels, higher grade fuel, fewer moving parts, more symmetry axes, and you get close to a rocket. But often, this method won't work, and you just get BS.
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Replying to @Plinz
Still, with every extrapolation you try you explore more unknown territory and finding out that a certain area will very likely contain BS will help you refining your search space.
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