The dimensionality of discourse
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TL;DR
The paragraph spaces of five text corpora all show the same two-scale structure, with the dimension at short distances being lower than at long distances, and the observed topology places important constraints on the way in which authors construct prose.
Abstract
The paragraph spaces of five text corpora, of different genres and intended audiences, in four different languages, all show the same two-scale structure, with the dimension at short distances being lower than at long distances. In all five cases the short-distance dimension is approximately eight. Control simulations with randomly permuted word instances do not exhibit a low dimensional structure. The observed topology places important constraints on the way in which authors construct prose, which may be universal.
