Source

Frank, Goodman, Lai and Tenenbaum (2009), LIT-824, read in full in NOTE-627. They write the informative speaker down (utility −D_KL from the intended to the literal meaning), derive the size principle from it, and present the learner as inverting that speaker: a learner who sees a speaker point at the one red circle among blue shapes and say a novel word should lean towards “red”, because “red” singles the object out. The size principle, justified elsewhere as a rule about generalisation, “here becomes a consequence of the speaker’s goal” (NOTE-627, claim C2).

What is asserted, and by whom

The thesis is that learners who infer a novel word’s meaning from its use reason about a speaker who chose the word to be informative about the referent, so the size principle in word learning is a consequence of that pragmatic inference and not a separate rule of generalisation. Frank, Goodman, Lai and Tenenbaum propose it.

What the record holds toward it

  • THEORY-472 (Active): the derivation (for a point referent and uniform literal meanings, word choice ∝ |extension|^(−α)), and, in one betting experiment, mean bets in line with the inverted speaker (r = .93 on condition means).
  • In those displays the informative-speaker learner and a plain size-principle learner coincide by construction, so the fit does not separate this thesis from the rule it would explain.
  • THEORY-785 states the same inversion for listeners interpreting utterances in reference games, from the rational speech act papers; this entry is its word-learning counterpart.

What this does not say

  • Not that speakers are informative. In the paper’s free-description study speakers followed informativeness only weakly (r = .19), and colour terms not at all; the thesis is about the learner’s assumption.
  • Not that children learn this way; the participants were adults on the web.

What would confirm or reject it

Confirmed by the promote_when: displays in which the two learners predict different bets, with both models and a frequency baseline fitted on part of the data and tested on the rest, and the informative-speaker learner winning. Rejected if the plain size-principle learner does as well where they differ. QUESTION-167 asks the same thing as a question; this entry is the answer the authors propose.