But _given_ a subspace of interest, the _technical_ criterion of drawing category boundaries around [regions of high density in configuration space](https://www.lesswrong.com/posts/yLcuygFfMfrfK8KjF/mutual-information-and-density-in-thingspace) still applies. There is Law governing which uses of communication signals transmit which information, and the Law can't be brushed off with, "whatever, it's a pragmatic choice, just be nice." I demonstrate the Law with a couple of simple mathematical examples: if you redefine a codeword that originally pointed to one cluster, to also include another, that changes the quantitative predictions you make about an unobserved coordinate given the codeword; if an employer starts giving the title "Vice President" to line workers, that decreases the mutual information between the job title and properties of the job.
But _given_ a subspace of interest, the _technical_ criterion of drawing category boundaries around [regions of high density in configuration space](https://www.lesswrong.com/posts/yLcuygFfMfrfK8KjF/mutual-information-and-density-in-thingspace) still applies. There is Law governing which uses of communication signals transmit which information, and the Law can't be brushed off with, "whatever, it's a pragmatic choice, just be nice." I demonstrate the Law with a couple of simple mathematical examples: if you redefine a codeword that originally pointed to one cluster, to also include another, that changes the quantitative predictions you make about an unobserved coordinate given the codeword; if an employer starts giving the title "Vice President" to line workers, that decreases the mutual information between the job title and properties of the job.