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@ -12,7 +12,7 @@ In this case, the general dynamic is that organizations which race towards more
= Singularity
A process with a fixed output rate, such as as a [[machine]] which produces one [[bee]] per second, leads to arithmetic growth - the total output from it increases linearly with time. However, if the growth rate is proportional to the current total, i.e. it grows by a fixed *percentage* at regular intervals - like simplified population growth without resource constraints - the total grows exponentially with time. Systems where the proportional rate of growth also grows as the total does can instead display hyperbolic growth: modelled mathematically, the the total grows arbitrarily large in finite time, and is then undefined at a "singularity". The idea of the technological singularity is that (some) technological progress leads to further, faster technological progress, and so the general state of economic development and technology increases arbitrarily fast and the world advances faster than unaugmented humans can update to it.
A process with a fixed output rate, such as as a [[machine]] which produces one [[bee]] per second, leads to arithmetic growth - the total output from it increases linearly with time. However, if the growth rate is proportional to the current total, i.e. it grows by a fixed percentage at regular intervals - like simplified population growth without resource constraints - the total grows exponentially with time. Systems where the proportional rate of growth also grows as the total does can instead display hyperbolic growth: modelled mathematically, the the total grows arbitrarily large in finite time, and is then undefined at a "singularity". The idea of the technological singularity is that (some) technological progress leads to further, faster technological progress, and so the general state of economic development and technology increases arbitrarily fast and the world advances faster than unaugmented humans can update to it.
Empirically, this was [[https://docs.google.com/spreadsheets/d/1xEkh4jhUup0qlG6EzBct6igvLPeRH4avpM5nZQ-dgek/edit?gid=478995971#gid=478995971|cancelled]] around 1960, when growth fell off-trend. According to some, this is because hyperbolic growth of population stopped around this time; sufficiently advanced AI is capable of substituting for population, and could thus restore the trend.