Over the next 400 million years or so, invertebrate diversity showed little overall trend and vertebrate diversity shows an overall exponential trend.
2.
Kurzweil admits the exponential trend in increased computing power will hit a limit eventually, but he calculates that limit to be trillions of times beyond what is necessary for the Singularity.
3.
The other reason, often related, is when the values being plotted high an exponential trend-plotting such a trend logarithmically results in a straight line, which is easy to recognise.
4.
Kurzweil says " the knee in the curve " is the time when the exponential trend is going to explode, while Modis claims if the process is logistic when you hit the " knee " the quantity you are measuring is only going to increase by a factor of 100 more.
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