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Sunday, March 11, 2012

Complexity in Education

How can we make an education an autocatalytic set, so that the the education grows steadily? The answer may lie in the existence of a catalyst. The key understanding to reach the answer is an education's collective behavior. They need certain kind of metabolism to form a more complex compounds of the set, that is to grow or develop. When there are plural autocatalystic sets, which set(s) will flourish? Flourishing sets should be those which are more robust to environmental changes or those contain more efficient catalysts and more elaborate reactions or those contain complex and sophisticated members. And above all, they need member supply. Though cramming-oriented usually lack complex and sophisticated members, they are robust, after all, and have plenty of member supply. They might gain some elaborate reactions with a couple of more efficient catalysts. As educational innovations result from new combinations of old technologies, the number of possible innovations will go up very rapidly as more and more technologies become available. Once they get beyond a certain threshold of complexity they can expect a kind of phase transition, but below that level of complexity they find education dependent upon just just a few major industries, and their education tend to be fragile and stagnant. In that case, it wouldn't matter how much investment got poured into the education. But if an education ever manages to diversify and increase its complexity above the critical point, then they can undergo an explosive increase in growth and innovation.

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