-The "national borders" metaphor is particularly galling if—[unlike](https://slatestarcodex.com/2015/01/31/the-parable-of-the-talents/) [Arthur Blair](https://slatestarcodex.com/2013/06/30/the-lottery-of-fascinations/)—you _actually know the math_.
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-If I have a "blegg" concept for blue egg-shaped objects—uh, this is [our](https://www.lesswrong.com/posts/4FcxgdvdQP45D6Skg/disguised-queries) [standard](https://www.lesswrong.com/posts/yFDKvfN6D87Tf5J9f/neural-categories) [example](https://www.lesswrong.com/posts/yA4gF5KrboK2m2Xu7/how-an-algorithm-feels-from-inside), just [roll with it](http://unremediatedgender.space/2018/Feb/blegg-mode/)—what that _means_ is that (at some appropriate level of abstraction) there's a little [Bayesian network](https://www.lesswrong.com/posts/hzuSDMx7pd2uxFc5w/causal-diagrams-and-causal-models) in my head with "blueness" and "eggness" observation nodes hooked up to a central "blegg" category-membership node, such that if I see a black-and-white photograph of an egg-shaped object, I can use the observation of its shape to update my beliefs about its blegg-category-membership, and then use my beliefs about category-membership to update my beliefs about its blueness. This cognitive algorithm is useful if we live in a world where objects that have the appropriate statistical structure—if the joint distribution P(blegg, blueness, eggness) approximately factorizes as P(blegg)·P(blueness|blegg)·P(eggness|blegg).
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-"Category boundaries" are just a _visual metaphor_ for the math: the set of things I'll classify as a blegg with probability greater than _p_ is conveniently _visualized_ as an area with a boundary in blueness–eggness space. If you _don't understand_ the relevant math and philosophy—or are pretending not to understand only and exactly when it's politically convenient—you might think you can redraw the boundary any way you want, but you can't, because the "boundary" visualization is _derived from_ a statistical model which corresponds to _empirically testable predictions about the real world_. Fucking with category boundaries corresponds to fucking with the model, which corresponds to fucking with your ability to interpret sensory data. The only two reasons you could _possibly_ want to do this would be to wirehead yourself (corrupt your map to make the territory look nicer than it really is, making yourself _feel_ happier at the cost of sabotaging your ability to navigate the real world) or as information warfare (corrupt shared maps to sabotage other agents' ability to navigate the real world, in a way such that you benefit from their confusion).
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