It's a cute idea, but technological advancement will not achieve a 'vertical asymptote'. It will either approach some finite maximum rate, or slow down at some point.
No one claims the singularity will be asymptotic. The word "singularity" is only used to reflect the difficulty in making predictions of what will happen after the "singularity". The rate will probably always stay exponential.
I have actually heard the claim "technological advance will asymptote to infinity". What it means in practical terms I'm not sure, but I can't imagine it ever happening.
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No one claims the singularity will be asymptotic. The word "singularity" is only used to reflect the difficulty in making predictions of what will happen after the "singularity". The rate will probably always stay exponential.
I have actually heard the claim "technological advance will asymptote to infinity". What it means in practical terms I'm not sure, but I can't imagine it ever happening.