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Natural number concepts: No derivation without formalization

Published online by Cambridge University Press:  11 December 2008

Paul Pietroski  and
Jeffrey Lidz
Paul Pietroski
Affiliation:
Department of Linguistics, University of Maryland, College Park, MD 20742pietro@umd.eduhttp://www.wam.umd.edu/~pietro/jlidz@umd.eduhttp://www.ling.umd.edu/~jlidz/
Jeffrey Lidz
Affiliation:
Department of Linguistics, University of Maryland, College Park, MD 20742pietro@umd.eduhttp://www.wam.umd.edu/~pietro/jlidz@umd.eduhttp://www.ling.umd.edu/~jlidz/
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Abstract

The conceptual building blocks suggested by developmental psychologists may yet play a role in how the human learner arrives at an understanding of natural number. The proposal of Rips et al. faces a challenge, yet to be met, faced by all developmental proposals: to describe the logical space in which learners ever acquire new concepts.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 31 , Issue 6 , December 2008 , pp. 666 - 667
Copyright
Copyright © Cambridge University Press 2008

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References

Dedekind, R. (1888/1963) The nature and meaning of numbers. Dover. (Original work published 1888).Google Scholar
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Zalta, E. (2003) Frege's logic, theorem, and foundations for arithmetic. In: The Stanford Encyclopedia of Philosophy. Available at: http://plato.stanford.edu/entries/frege-logic.Google Scholar