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CornellEngr2008 comments on The Cluster Structure of Thingspace - Less Wrong

41 Post author: Eliezer_Yudkowsky 08 February 2008 12:07AM

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Comment author: CornellEngr2008 08 June 2011 04:49:53PM 4 points [-]

Mathematics is largely already excepted from the above discussion - this post is talking about empirical clusters only ("When you draw a boundary around a group of extensional points empirically clustered in thingspace"), and mathematics largely operates in a priori truths derived from axioms. For example, no one needs to do a study of triangles to see whether their angle all do, indeed, add up to 180 degrees - when that's not part of the definition of triangles, it follows from the other definitions and axioms.