著者

斉藤 健

出版者

日本科学哲学会

雑誌

科学哲学 (ISSN:02893428)

巻号頁・発行日

vol.37, no.2, pp.149-162, 2004-12-25 (Released:2009-05-29)

参考文献数

6

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The aim of this paper is to explicate and evaluate Resnik's structuralism in the philosophy of mathematics, and especially to show some difficulties in his theory. Firstly I clarify his main arguments concerning mathematical realism and structuralism. His position has some merits from the points of ontology and epistemology. Then I point out the philosophical implications of his interpretation of mathematical patterns as merely epistemological devices for philosophical explication. By using indispensability argument as a means of justification of mathematical realism, he admits the degree of our commitment to the existence of mathematical objects. Finally I will show that he fails to explain patterns and positions of mathematical structures in category theory.