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@article{ART002137345},
author={Jun-Yong Park},
title={Mill and the Theory of Natural Numbers},
journal={Philosophical Investigation},
issn={1598-7213},
year={2016},
volume={43},
pages={79-130},
doi={10.33156/philos.2016.43..004}

TY - JOUR
AU - Jun-Yong Park
TI - Mill and the Theory of Natural Numbers
JO - Philosophical Investigation
PY - 2016
VL - 43
IS - null
PB - Institute of philosophy in Chung-Ang Univ.
SP - 79
EP - 130
SN - 1598-7213
AB - Any adequate explanation of natural numbers should provide at least two kinds of explications. The one is to explicate how our ordinary theory of natural numbers can work. The other is to explicate how we can apply natural numbers for counting ordinary objects. In this paper, I deal with some Millean explanations of natural numbers. Although, as it is well known, Mill’s own explanation of natural numbers was severely criticized by Frege, some philosophers still believe that Mill’s main thoughts on natural numbers can be fruitfully developed in the context of mereology. I try to show two theses in the following. The first negative one is that it is very hard to provide the above two kinds of explications simultaneously on the basis of Millean mereological theory. The other positive one is that some mereology without mereological sum is still be useful to explicate for counting ordinary objects.
KW - Natural numbers;Counting;Mereology;Mill;Kessler;Armstrong
DO - 10.33156/philos.2016.43..004
ER -

Jun-Yong Park. (2016). Mill and the Theory of Natural Numbers. Philosophical Investigation, 43, 79-130.

Jun-Yong Park. 2016, "Mill and the Theory of Natural Numbers", Philosophical Investigation, vol.43, pp.79-130. Available from: doi:10.33156/philos.2016.43..004

Jun-Yong Park "Mill and the Theory of Natural Numbers" Philosophical Investigation 43 pp.79-130 (2016) : 79.

Jun-Yong Park. Mill and the Theory of Natural Numbers. 2016; 43 79-130. Available from: doi:10.33156/philos.2016.43..004

Jun-Yong Park. "Mill and the Theory of Natural Numbers" Philosophical Investigation 43(2016) : 79-130.doi: 10.33156/philos.2016.43..004

Jun-Yong Park. Mill and the Theory of Natural Numbers. Philosophical Investigation, 43, 79-130. doi: 10.33156/philos.2016.43..004

Jun-Yong Park. Mill and the Theory of Natural Numbers. Philosophical Investigation. 2016; 43 79-130. doi: 10.33156/philos.2016.43..004

Jun-Yong Park. Mill and the Theory of Natural Numbers. 2016; 43 79-130. Available from: doi:10.33156/philos.2016.43..004

Jun-Yong Park. "Mill and the Theory of Natural Numbers" Philosophical Investigation 43(2016) : 79-130.doi: 10.33156/philos.2016.43..004