A Realistic Understanding of the Concept of Operation in Cavaillès’s Philosophy

Kondo, Kazunori

Osaka Human Sciences, 2025, 11, 21-30

Number of Access:68（2025-08-13 23:54 Counts）

Identifier to cite or link to this item: https://doi.org/10.18910/100846

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Title
A Realistic Understanding of the Concept of Operation in Cavaillès’s Philosophy
Creator
CreatorName
Kondo, Kazunori
Subject
Cavaillès
Operation
Problem
Abstract
At the root of Cavaillès' mathematical philosophy is the notion of operation. How we interpret it is therefore the major problem we face. In this article, we insist that it is possible to interpret this notion in a realistic meaning and that our explanation can still be well accepted. To this end, in Section 1, we attempt to analyse the concept of operation, that is common to both realists and idealists. In Section 2, we present the idealist argument of Cassou-Noguès [2001], which contradicts our interpretation developed in Part 3. Finally, in Section 3, in defence of the realist interpretation of the concept of operation, we confirm that the instance of the problem is indispensable to the genetic process of Truth and that this instance relates to the place that Cavaillès calls 'outside'.
Publisher
Graduate School of Human Sciences, Osaka University
Source Title
Osaka Human Sciences
Volume (Issue)
11
Page
21-30
Date of Issued
2025-03
Language
English
Handle URL
https://hdl.handle.net/11094/100846
DOI
https://doi.org/10.18910/100846
NCID
AA12727839
Access Rights
open access
oaire:version
Version of Record
Category
紀要論文 Departmental Bulletin Paper
Osaka Human Sciences / Vol.11