{"title":"数字存在吗?","authors":"P. Maddy","doi":"10.1093/oso/9780197508855.003.0011","DOIUrl":null,"url":null,"abstract":"This essay presents the second-philosophical view of arithmetic from Essay #9 to a beginning audience. That view ends with an account of the cognitive and conceptual basis for Peano Arithmetic. This essay addresses the further questions of ontology: do numbers exist?, is arithmetic the study of abstract objects, or is it an extremely useful, idealized theory that’s not literally true? Both options seem open to the Second Philosopher. The suggestion is that once the underlying second-philosophical facts are recognized, the situation can be described either way—with the terms ‘true’ and ‘exist’ or without—and that neither way of speaking comes in conflict with any fact of the matter.","PeriodicalId":243091,"journal":{"name":"A Plea for Natural Philosophy","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Do Numbers Exist?\",\"authors\":\"P. Maddy\",\"doi\":\"10.1093/oso/9780197508855.003.0011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This essay presents the second-philosophical view of arithmetic from Essay #9 to a beginning audience. That view ends with an account of the cognitive and conceptual basis for Peano Arithmetic. This essay addresses the further questions of ontology: do numbers exist?, is arithmetic the study of abstract objects, or is it an extremely useful, idealized theory that’s not literally true? Both options seem open to the Second Philosopher. The suggestion is that once the underlying second-philosophical facts are recognized, the situation can be described either way—with the terms ‘true’ and ‘exist’ or without—and that neither way of speaking comes in conflict with any fact of the matter.\",\"PeriodicalId\":243091,\"journal\":{\"name\":\"A Plea for Natural Philosophy\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"A Plea for Natural Philosophy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/oso/9780197508855.003.0011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"A Plea for Natural Philosophy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/oso/9780197508855.003.0011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This essay presents the second-philosophical view of arithmetic from Essay #9 to a beginning audience. That view ends with an account of the cognitive and conceptual basis for Peano Arithmetic. This essay addresses the further questions of ontology: do numbers exist?, is arithmetic the study of abstract objects, or is it an extremely useful, idealized theory that’s not literally true? Both options seem open to the Second Philosopher. The suggestion is that once the underlying second-philosophical facts are recognized, the situation can be described either way—with the terms ‘true’ and ‘exist’ or without—and that neither way of speaking comes in conflict with any fact of the matter.
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