An Index Of Possibilities

'Sometimes, cutting into the present releases the future'

Friday, October 7, 2016

Volumes and Boundaries

As the sphere of the known expands into the aether of the unknown, the proportion of ignorance seems to grow—the more you know, the more you know how much you don’t know. But note what happens when the radius of a sphere increases: the increase in the surface area is squared while the increase in the volume is cubed. Therefore, as the radius of the sphere of scientific knowledge doubles, the surface area of the unknown increases fourfold, but the volume of the known increases eightfold. It is at this boundary where we can stake a claim of true progress.

 

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posted by cgibson777 at 8:27 pm  

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