+The "national borders" metaphor is particularly galling if—[unlike the popular author](https://slatestarcodex.com/2015/01/31/the-parable-of-the-talents/)—you _actually know the math_.
+
+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,
+
+"Category boundaries" were 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.
+
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