I’m confused. Moore’s law, GDP growth etc. are linear in log-space. That graph isn’t. Why are these spaces treated as identical for the purposes of carrying the same important and confusing intuition? (E.g. I imagine one could find lots of weird growth functions that are linear in some space. Why are they all important?)
Hmm, in either case a function being linear in a very easy to describe space (i.e. log, log-log or linear) highlights that the relationship the function describes is extremely simple, and seems to be independent of most factors that vary drastically over time. I expect the world to be stochastic and messy, with things going up and down for random reasons and with things over time going up and down quite a bit for very local reasons, but these graphs do not seem to conform with that intuition in a way that I don’t easily know how to reconcile.
I’m confused. Moore’s law, GDP growth etc. are linear in log-space. That graph isn’t. Why are these spaces treated as identical for the purposes of carrying the same important and confusing intuition? (E.g. I imagine one could find lots of weird growth functions that are linear in some space. Why are they all important?)
Hmm, in either case a function being linear in a very easy to describe space (i.e. log, log-log or linear) highlights that the relationship the function describes is extremely simple, and seems to be independent of most factors that vary drastically over time. I expect the world to be stochastic and messy, with things going up and down for random reasons and with things over time going up and down quite a bit for very local reasons, but these graphs do not seem to conform with that intuition in a way that I don’t easily know how to reconcile.