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I think we actually do have a deep implicit understanding of the exponential function, and THAT may be our greatest shortcoming. We don't understand it precisel
by indrax 16y ago
I think we actually do have a deep implicit understanding of the exponential function, and THAT may be our greatest shortcoming. We don't understand it precisely, and we don't intuitively relate to "4^x".
But we very intuitively get things like "really big changes will come from small things" And we rate highly getting a seemingly small increase in personal ability. This is why videos like this can capture our attention at all. It seems like a basic ability to recognize and reason approximately about exponential growth is required to do agriculture.
I think this is why we like RPG's and katamari damacy, and talking about peak oil.
I think that this mental flag also makes us extremely sensitive of people 'from the wrong tribe' being in our area.
In short, I think that we were surrounded by exponential functions in our ancestral environment, and developed an ability to recognize them and see them as very important, with out really knowing what they are.