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Adele_L comments on Open thread, September 2-8, 2013 - Less Wrong
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On LW, 'singularity' does not refer to a mathematical singularity, and does not involve or require physical infinities of any kind. See Yudkowsky's post on the three major meanings of the term singularity. This may resolve your physicist friend's disagreement. In any case, it is good to be clear about what exactly is meant.