{"title":"维特根斯坦在康托尔的天堂","authors":"Karim Zahidi","doi":"10.1111/phin.12436","DOIUrl":null,"url":null,"abstract":"This paper offers an evaluation of Wittgenstein's critique of Cantorian set theory, illustrating his broader philosophical stance on mathematics. By emphasizing the constructed nature of mathematical theories, Wittgenstein encourages a reflective approach to mathematics that acknowledges human agency in its development. His engagement with Cantorian set theory provides valuable insights into the philosophical and practical dimensions of mathematics, urging a reconsideration of its foundations and the nature of mathematical proofs. This perspective aligns closely with the philosophy of mathematical practice, which emphasizes the human side of mathematics by its focus on mathematical practice.","PeriodicalId":47112,"journal":{"name":"PHILOSOPHICAL INVESTIGATIONS","volume":"52 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wittgenstein in Cantor's paradise\",\"authors\":\"Karim Zahidi\",\"doi\":\"10.1111/phin.12436\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper offers an evaluation of Wittgenstein's critique of Cantorian set theory, illustrating his broader philosophical stance on mathematics. By emphasizing the constructed nature of mathematical theories, Wittgenstein encourages a reflective approach to mathematics that acknowledges human agency in its development. His engagement with Cantorian set theory provides valuable insights into the philosophical and practical dimensions of mathematics, urging a reconsideration of its foundations and the nature of mathematical proofs. This perspective aligns closely with the philosophy of mathematical practice, which emphasizes the human side of mathematics by its focus on mathematical practice.\",\"PeriodicalId\":47112,\"journal\":{\"name\":\"PHILOSOPHICAL INVESTIGATIONS\",\"volume\":\"52 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2024-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"PHILOSOPHICAL INVESTIGATIONS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1111/phin.12436\",\"RegionNum\":4,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"0\",\"JCRName\":\"PHILOSOPHY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"PHILOSOPHICAL INVESTIGATIONS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1111/phin.12436","RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}
This paper offers an evaluation of Wittgenstein's critique of Cantorian set theory, illustrating his broader philosophical stance on mathematics. By emphasizing the constructed nature of mathematical theories, Wittgenstein encourages a reflective approach to mathematics that acknowledges human agency in its development. His engagement with Cantorian set theory provides valuable insights into the philosophical and practical dimensions of mathematics, urging a reconsideration of its foundations and the nature of mathematical proofs. This perspective aligns closely with the philosophy of mathematical practice, which emphasizes the human side of mathematics by its focus on mathematical practice.
期刊介绍：
Philosophical Investigations features articles in every branch of philosophy. Whether focusing on traditional or on new aspects of the subject, it offers thought-provoking articles and maintains a lively readership with an acclaimed discussion section and wide-ranging book reviews. Special issues are published on topics of current philosophical interest.
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