oaioai:dspace.mit.edu:1721.1/98844

Bootstrapping in a language of thought: A formal model of numerical concept learning

Abstract

In acquiring number words, children exhibit a qualitative leap in which they transition from understanding a few number words, to possessing a rich system of interrelated numerical concepts. We present a computational framework for understanding this inductive leap as the consequence of statistical inference over a sufficiently powerful representational system. We provide an implemented model that is powerful enough to learn number word meanings and other related conceptual systems from naturalistic data. The model shows that bootstrapping can be made computationally and philosophically well-founded as a theory of number learning. Our approach demonstrates how learners may combine core cognitive operations to build sophisticated representations during the course of development, and how this process explains observed developmental patterns in number word learning.United States. Air Force Office of Scientific Research (Grant FA9550-07-1-0075

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oaioai:dspace.mit.edu:1721.1/98844Last time updated on 2/26/2017

This paper was published in DSpace@MIT.

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