@article{ART001933808},
author={Man-Yoep Park},
title={The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-},
journal={Philosophical Investigation},
issn={1598-7213},
year={2014},
volume={36},
pages={121-146},
doi={10.33156/philos.2014.36..004}
TY - JOUR
AU - Man-Yoep Park
TI - The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-
JO - Philosophical Investigation
PY - 2014
VL - 36
IS - null
PB - Institute of philosophy in Chung-Ang Univ.
SP - 121
EP - 146
SN - 1598-7213
AB - The main purpose of this paper is focused on the following aspects: With priority given to Wittgenstein’s LFM and RFM, the problems of the division of calculation and experiment in the mathematical proof. The subject that Wittgenstein treats in his philosophy of mathematics is very various. Wittgenstein does not accept basically mathematical platonism that approves existence of objective number. The most promising perspective that penetrates his philosophy of mathematics is 'practice'. According to common view, the division of calculation and experiment that Wittgenstein raised can be misunderstand as a trivial problem. However, this misunderstanding is no more than misreading of Wittgenstein’s thought. The reason is as in the following. Wittgenstein scrutinizes through the division of calculation and experiment in his original philosophical way the foundamental problems of mathematics as the surveyability of mathematical proof, proof and rule, rule and language game, mathematical proposition, mathematics and logic etc. Thus the expression of ‘calcus’ is based on grammar of language we use, the language game of ‘calcus’ is different from the discovery of fact. Therefore, calculating act is essentially related language game that is used in forms of life as an act of rule following.
KW - Philosphy of Mathematics;Mathematical Proof;Calculation;Experiment;Rule;Grammar;Language
DO - 10.33156/philos.2014.36..004
ER -
Man-Yoep Park. (2014). The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-. Philosophical Investigation, 36, 121-146.
Man-Yoep Park. 2014, "The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-", Philosophical Investigation, vol.36, pp.121-146. Available from: doi:10.33156/philos.2014.36..004
Man-Yoep Park "The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-" Philosophical Investigation 36 pp.121-146 (2014) : 121.
Man-Yoep Park. The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-. 2014; 36 121-146. Available from: doi:10.33156/philos.2014.36..004
Man-Yoep Park. "The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-" Philosophical Investigation 36(2014) : 121-146.doi: 10.33156/philos.2014.36..004
Man-Yoep Park. The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-. Philosophical Investigation, 36, 121-146. doi: 10.33156/philos.2014.36..004
Man-Yoep Park. The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-. Philosophical Investigation. 2014; 36 121-146. doi: 10.33156/philos.2014.36..004
Man-Yoep Park. The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-. 2014; 36 121-146. Available from: doi:10.33156/philos.2014.36..004
Man-Yoep Park. "The Division of Calculation and Experiment in the Mathematical Proof-With Priority Given to Wittgenstein’s LFM and RFM-" Philosophical Investigation 36(2014) : 121-146.doi: 10.33156/philos.2014.36..004
