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

Kondo, Kazunori

doi:https://doi.org/10.18910/100846

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

Kondo, Kazunori

Osaka Human Sciences, 2025, 11, 21-30

アクセス数:64件（2025-07-27 13:57 集計）

固定URL: https://doi.org/10.18910/100846

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タイトル	A Realistic Understanding of the Concept of Operation in Cavaillès’s Philosophy
著者	著者名 Kondo, Kazunori
キーワード等	Cavaillès
	Operation
	Problem
抄録	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'.
出版者	Graduate School of Human Sciences, Osaka University
収録物名	Osaka Human Sciences
巻(号)	11
ページ	21-30
刊行年月	2025-03
言語	英語
ハンドルURL	https://hdl.handle.net/11094/100846
DOI	https://doi.org/10.18910/100846
NCID	AA12727839
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Human Sciences / Vol.11

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Human Sciences. 2025, 11, p. 21-30
DC.title	A Realistic Understanding of the Concept of Operation in Cavaillès’s Philosophy
DC.creator	Kondo, Kazunori
DC.publisher	Graduate School of Human Sciences, Osaka University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-03
DC.subject	Cavaillès
	Operation
	Problem
DCTERMS.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'.
DC.identifier	10.18910/100846
DC.format	100846
citation_title	A Realistic Understanding of the Concept of Operation in Cavaillès’s Philosophy
citation_author	Kondo, Kazunori
citation_publisher	Graduate School of Human Sciences, Osaka University
citation_language	英語
citation_date	2025-03
citation_journal_title	Osaka Human Sciences
citation_volume	11
citation_firstpage	21
citation_lastpage	30
citation_public_url	https://hdl.handle.net/11094/100846
citation_doi_detail	10.18910/100846
citation_doi	https://doi.org/10.18910/100846

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

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