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Related Experiment Videos

Do children learn the integers by induction?

Lance J Rips1, Jennifer Asmuth, Amber Bloomfield

  • 1Psychology Department, Northwestern University, Evanston, IL 60208, USA. rips@northwestern.edu

Cognition
|September 8, 2007
PubMed
Summary
This summary is machine-generated.

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Children may learn number words through inductive inference, but this process alone doesn't guarantee standard number meanings. Further constraints are needed to differentiate correct number concepts from nonstandard ones.

Area of Science:

  • Cognitive Science
  • Developmental Psychology
  • Philosophy of Mathematics

Background:

  • Children's acquisition of number word meanings is often explained by learning initial numerals and then applying inductive inference.
  • This inductive step, however, may not sufficiently distinguish standard integer meanings from nonstandard interpretations (e.g., 'ten' meaning multiples of 10).

Discussion:

  • This study addresses the argument that distinguishing standard from nonstandard number meanings relies on attributing "radically indeterminate" concepts to children.
  • It demonstrates that the proposed inductive inference is compatible with determinate meanings for initial number words like 'one,' 'two,' and 'three.'

Key Insights:

  • The inductive inference used in number word acquisition is inherently indeterminate, allowing for nonstandard meanings.

Related Experiment Videos

  • Making this inference determinate requires pre-existing constraints that the inference itself is supposed to establish.

    • Outlook:

    • Future research should explore the specific constraints children utilize to refine number word meanings beyond basic induction.
    • Investigating the interplay between determinate initial learning and indeterminate inferential steps is crucial for understanding number concept acquisition.