Kurzweil's prediction hinges on the assumption that computers will be able to pass the 'Turing Test' during that 20-30 year time frame. He said more about it elsewhere:
Long Bets [ 1: By 2029 no computer - or "machine intelligence" - will have passed the Turing Test. ], A careful analysis of the requisite trends shows that we will understand the principles of operation of the human brain and be in a position to recreate its powers in synthetic substrates well within thirty years.
I think, though, that he has underestimated the complexity of human thought and overestimated the progress we have made thus far in replicating human neural functions. When he talks about using electronics to replace brain function he is grossly overestimating the actual functionality that has been achieved with these prosthetic devices (cochlear implants and such). When he talks about near-Turing level of performance by computers (eg: the Deep Thought chess playing computer) he is ignoring the fact that these are purpose-built special machines operating in extremely specialized areas of human endeavor.
I'll remain skeptical until there is a lot more progress in language processing. Until computers manipulate language well enough to at least do reliable, idiomatic translations from one language to another I do not believe there is any near term prospect of achieving the kind of AI that 'The Singularity' is talking about.

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