Simon Kirby, Hannah Cornish and Kenny Smith (2008), PNAS 105(31):10681–10686 — DOI-10.1073/pnas.0707835105

Key takeaways

  • Design. Diffusion chains: 27 pictures (three shapes × three colours × three motions), each labelled by a written string; each adult saw 14 string–picture pairs, was tested on all 27, and that output, re-split at random, trained the next. Four chains of ten generations per experiment, 80 participants in all, starting from random 2–4-syllable labels. Participants were told to reproduce the language, not that they were in a chain.
  • Experiment 1: learnable by underspecification. Transmission error (normalized edit distance to the previous generation) fell and structure (correlation of string distance with meaning distance, as a Monte Carlo z-score) rose. Distinct words fell from 27 to 2, 4, 5 and 4. The ambiguity was systematic, one word for a class of similar meanings, so a learner could rebuild the whole from a fragment. Colour distinctions were lost in all four chains; shape and motion survived.
  • Experiment 2: compositional under a filter. When strings labelling more than one picture were cut to one before training, as an analogue of a pressure to be expressive, error still fell and structure still rose, words stayed between 10 and 27, and the strings came to split into morphemes for colour, shape and motion, with irregular items.
  • Claim. The adaptation is cumulative in learnability and structure, not in expressivity, and is offered as the first experimental validation that cultural transmission yields the appearance of design without a designer.

The paper names Bartlett (LIT-768) as the first user of the diffusion-chain method. It cites Griffiths & Kalish (LIT-769, read in NOTE-599) only in a block of model references and does not use priors; read against that analysis, the lost colour distinctions look like a learner bias surfacing through transmission, and the Experiment 2 filter is a selection pressure that the analysis assumes away.

Standing in the record

Filed on 2026-10-09 at the owner’s request, as one of the works in the reference list of the owner’s working manuscript (October 2026) that the record did not yet hold. See the curation entry of that day.