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@article{ART001172060},
author={Jinhyeong Kim},
title={Brouwer's Notion of Number and the Problem of Psychologism},
journal={Philosophical Investigation},
issn={1598-7213},
year={2006},
volume={20},
pages={267-300}

TY - JOUR
AU - Jinhyeong Kim
TI - Brouwer's Notion of Number and the Problem of Psychologism
JO - Philosophical Investigation
PY - 2006
VL - 20
IS - null
PB - Institute of philosophy in Chung-Ang Univ.
SP - 267
EP - 300
SN - 1598-7213
AB - Brouwer understands 'numbers' as intuition, not concept. For him, numbers are conceived of mental entities. There has been an inclination to interpret his intuitionism as empirical psychology. Contrary to this view, I argues that Brouwer's number theory is not a version of Millian, or early Husserlian mathematical psychologism by showing that his 'I' or 'ego' can be identified with the 'transcendental subject' of late Husserl. In order to strengthen my conclusion, I will argue that his notion of natural numbers can satisfy Frege's two conditions, 'identity' and 'distinguishability,' which is necessary to define number as units. I emphasize in the course that Brouwer's intuitionism is a version of anti-Platonism, and that Brouwer intended to establish the appropriate boundary of mathematics and define the way mathematicians must go.
KW - two-ity;Brouwer's successor construction;psychologism;Husserl;transcendental subject;Frege;anti-Platonism
DO -
UR -
ER -

Jinhyeong Kim. (2006). Brouwer's Notion of Number and the Problem of Psychologism. Philosophical Investigation, 20, 267-300.

Jinhyeong Kim. 2006, "Brouwer's Notion of Number and the Problem of Psychologism", Philosophical Investigation, vol.20, pp.267-300.

Jinhyeong Kim "Brouwer's Notion of Number and the Problem of Psychologism" Philosophical Investigation 20 pp.267-300 (2006) : 267.

Jinhyeong Kim. Brouwer's Notion of Number and the Problem of Psychologism. 2006; 20 267-300.

Jinhyeong Kim. "Brouwer's Notion of Number and the Problem of Psychologism" Philosophical Investigation 20(2006) : 267-300.

Jinhyeong Kim. Brouwer's Notion of Number and the Problem of Psychologism. Philosophical Investigation, 20, 267-300.

Jinhyeong Kim. Brouwer's Notion of Number and the Problem of Psychologism. Philosophical Investigation. 2006; 20 267-300.

Jinhyeong Kim. Brouwer's Notion of Number and the Problem of Psychologism. 2006; 20 267-300.

Jinhyeong Kim. "Brouwer's Notion of Number and the Problem of Psychologism" Philosophical Investigation 20(2006) : 267-300.