What is the difference between AGI, the singularity, and superintelligence?

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_Three different ideas that boardrooms constantly conflate, with the founder who coined "AGI" drawing the lines._

> A truly general intelligence should be able to figure out how to achieve any goal in any environment. To be an AGI you should be able to pivot beyond whatever you were programmed for: given an unfamiliar environment and an unfamiliar goal, figure out on the fly, with creative imagination and trial and error, how to achieve it. The singularity is a point at which the rate of progress in AI, biotech, nanotech and space becomes so fast it would feel infinite to a legacy human being like us.

Source: [Rethinking the AGI Race, with Benjamin Goertzel (eCornell Keynote)](https://ecornell.cornell.edu/keynotes/view/K052826/)

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What is the difference between AGI, the singularity, and superintelligence?