Mathematical review of technological singularity models
Abstract This paper reviews different definitions and models of technological singularity. The models range from conceptual sketches to detailed endogenous growth models, as well as attempts to fit empirical data to quantitative models. Such models are useful for examining the dynamics of the world-system and possible types of future crisis points where fundamental transitions are likely to occur. Current models suggest that, generically, even small increasing returns tend to produce radical growth. If mental capital becomes copyable (such as would be the case for AI or brain emulation), extremely rapid growth would also become likely.