Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life, in Organisms, Cities, Economies, and Companies
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finite time singularity simply means
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becomes infinitely large at some finite time,
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that’s why something has to change.
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Simple power laws and exponentials are continuously increasing functions that also eventually become infinitely large, but they take an infinite time to do so.
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It is simply not possible to supply an infinite amount of energy, resources, and food in a finite time.
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singularity is a point at which a mathematical function is no longer “well behaved” in some specific way, such as becoming infinite
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The clock by which we measure time on our watches and digital devices is very misleading; it is determined by the daily rotation of the Earth around its axis and its annual rotation around the sun. This astronomical time is linear and regular.
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in parallel with the quest for the Theory of Everything, we need to embark on a similar quest for a grand unified theory of complexity.
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