Singularity Hypotheses: An Overview.- Part 1: A Singularity of Artificial Superintelligence.- Intelligence Explosion: Evidence and Import.- The Threat of a Reward-Driven Adversarial Artificial General Intelligence.- New Millenium Al and the Convergence of History 2012.- Why an Intelligence Explosion is Probable.- Part 2: Concerns About Artificial Superintelligence.- The Singularity and Machine Ethics.- Artificial General Intelligence and the Human Mental Model.- Some Economic Incentives Facing a Business That Might Bring About a Technological Singularity.- Rationally-shaped Artificial Intelligence.- Friendly Artificial Intelligence.- Part 3: A Singularity of Posthuman Superintelligence.- The Biointelligence Explosion.- Embracing Competitive Balance: the Case for Substrate-independent Minds and Whole brain Emulation.- Brain Versus Machine.- The Disconnection Thesis.- Part 4: Scepticism.- AAAI Presidential Panel on Long-term al Futures.- Why the Singularity Cannot Happen.- The Slowdown Hypothesis.- Software Immortals-Science or Faith?.- Belief in the Singularity is Fideistic.- A Singular Universe of Many Singularities: Cultural Evolution in a Cosmic Context.