Kwestia pojęciowej nieciągłości procesu nabywania dokładnych reprezentacji numerycznych w teorii bootstrappingu

Aleksander Gemel

doi:10.31648/hip.373

Published: 2018-08-141

No. 22 (2016)

The Issue of Conceptual Discontinuity of the Accurate Number Representation Acquiring Process in the Bootstrapping Theory

Aleksander Gemel

Humanities and Natural Sciences

Section: Articles

https://doi.org/10.31648/hip.373

Abstract

The purpose of this paper is to analyze the issue of conceptual discontinuity of Carey’s model of acquiring the accurate number representations (i.e. bootstrapping). First part of the text is an overview of the key positions of cognitive arithmetic. Second part of the paper aims to present the main assumptions of the bootstrapping process, while third part is devoted to critical analysis of the concept of discontinuity of Carey’s theory of learning. The aim of the paper is to prove that learning process proposed by Carey can’t be accounted as a procedure of developing the system of representation, which is discontinuous to the innate systems of core knowledge.

Keywords:

Bootstraping, concept of exact number, parallel individuation system (PIS), approximate number system (ANS), generative grammar, conceptual discontinuity

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Gemel, A. (2018). The Issue of Conceptual Discontinuity of the Accurate Number Representation Acquiring Process in the Bootstrapping Theory. Humanities and Natural Sciences, (22), 101–118. https://doi.org/10.31648/hip.373

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References

Burger G.A., Przygody barona Munchhausena, przeł. H. Januszewska, Nasza Księgarnia, Warszawa 1956.

Carey S., Evolutionary and Ontogenetic Foundations o f Arithmetic, „Mind and Language” 2001, nr 16(1), s. 37-55.

Carey S., Bootstrapping and the Origins o f Concepts, „Daedalus” 2004, nr 133(1), s. 59-68.

Carey S., The Origin o f Concepts, Oxford University Press, New York 2009.

Chomsky N., Language and Problems o f Knowledge, MIT Press, Cambridge 1988.

Feigenson L., Dehaene S., Spelke E., Core Systems o f Number, „Trends in Cognitive Sciences” 2004, nr 8(10), s. 307-314.

Fodor J.A., The Language o f Thought, Harvard University Press, Cambridge 1975.

Fodor J.A., On the Impossibility o f Acquiring “More Powerful" Structures: Fixation o f Belief and Concept Acquisition, (w:) M. Piatelli-Palmerini (red.), Language and Learning, Harvard University Press, Cambridge 1980, s. 142-162.

Gelman R., Gallistel C., The Child’s Understanding o f Number, Harvard University Press, Cambridge 1978.

Gallistel C., Gelman R., The What and How o f Counting, „Cognition” 1990, nr 44, s. 43-74.

Gelman R., Gallistel C., Language and the Origin o f Numerical Concepts, „Science” 2004, nr 306, s. 441-443.

Hauser M., Chomsky N., Fitch W., The Faculty o f Language: What Is It, Who Has It, and How Did It Evolve?, „Science” 2002, nr 298, s. 1569-1579. Izard V., Pica P., Spelke E., Dehaene S., Exact Equality and Successor Function: Two Key Concepts on the Path towards Understanding Exact Numbers, „Philosophical Psychology” 2008, nr 21(4), s. 491-505.

La Corre M., Carey S., One, Two, Three, Four, Nothing More: An Investigation o f the Conceptual Sources o f the Verbal Counting Principles, „Cognition” 2007, nr 105, s. 395-438.

Piazza M., Neurocognitive Start-up Tools for Symbolic Number Representations, „Trends in Cognitive Sciences” 2010, nr 14(12), s. 542-551.

Pica P., Lemer C., Izard V., Dehaene S., Exact and Approximate Arithmetic in an Amazonian Indigene Group, „Science” 2004, nr 306, s. 499-503.

Pica P., Lecomte A., Theoretical Implications o f the Study o f Numbers and Numerals in Mundurucu, „Philosophical Psychology” 2008, nr 21(4), s. 507-522.

Spalke E., Breinlinger K., Macomber J., Jacobson K., Origins o f Knowledge, „Psychological Review” 1992, nr 99(4), s. 605-632.

Spelke E., Core Knowledge, „American Psychologist” 2000, nr 55, s. 1233-1243.

Spelke E., Tsivkin S., Initial Knowledge and Conceptual Change: Space and Numer, (w:) M. Bowerman, S. Levinson, Language Acquisition and Conceptual Development, Cambridge University Press, Cambridge 2001, s. 70-97.

Spelke E., What Makes Us Smart? Core Knowledge and Natural Language, (w:) D. Gentner, S. Goldin-Meadow (red.), Language in Mind: Advances in the Investigation o f Language and Thought, MIT Press, Cambridge 2003, s. 277-311.

Sarnecka B.W., Learning to Represent Exact Numbers, „Synthese” 2015, s. 1-18.

Wynn K., Children’s Understanding o f Counting, „Cognition” 1990, nr 36, s. 155-193. Google Scholar