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The singularity can not happen without China's permission. The reason for this is because China manufactures everything, and the rest of the world can not manufacture anything without China's permission. If you wanted a robotics led (industrial) singularity then China gets a veto over you building those robots in the first place.
I did a quick take even though I made a post already because the post itself got too little traction, and the above seems like key knowledge to me that people should be aware of.