Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos Analysis: Part 2 View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2005-10

AUTHORS

Ed Dubinsky, Kirk Weller, Michael A. McDonald, Anne Brown

ABSTRACT

This is Part 2 of a two-part study of how APOS theory may be used to provide cognitive explanations of how students and mathematicians might think about the concept of infinity. We discuss infinite processes, describe how the mental mechanisms of interiorization and encapsulation can be used to conceive of an infinite process as a completed totality, explain the relationship between infinite processes and the objects that may result from them, and apply our analyses to certain mathematical issues related to infinity. More... »

PAGES

253

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10649-005-0473-0

DOI

http://dx.doi.org/10.1007/s10649-005-0473-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1046693607


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