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

@article{Dubinsky2005SomeHI, title={Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos Analysis: Part 2}, author={Ed Dubinsky and Kirk Weller and Michael A. McDonald and Anne Brown}, journal={Educational Studies in Mathematics}, year={2005}, volume={60}, pages={253-266} }

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…

## 117 Citations

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