{"title":"数学基础的现实主义和不确定性","authors":"Francesca Boccuni","doi":"10.4081/INCONTRI.2019.464","DOIUrl":null,"url":null,"abstract":"Two of the most influential foundational approaches in the philosophy of mathematics of the past thirty years, i.e. neologicism and ante rem mathematical structuralism, suffer from metaphysical and semantic indeterminacy. My present aim is to offer an explanation of this phenomenon and provide a solution in terms of arbitrary reference.","PeriodicalId":119535,"journal":{"name":"Istituto Lombardo - Accademia di Scienze e Lettere - Incontri di Studio","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"REALISMO E INDETERMINATEZZA NEI FONDAMENTI DELLA MATEMATICA\",\"authors\":\"Francesca Boccuni\",\"doi\":\"10.4081/INCONTRI.2019.464\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Two of the most influential foundational approaches in the philosophy of mathematics of the past thirty years, i.e. neologicism and ante rem mathematical structuralism, suffer from metaphysical and semantic indeterminacy. My present aim is to offer an explanation of this phenomenon and provide a solution in terms of arbitrary reference.\",\"PeriodicalId\":119535,\"journal\":{\"name\":\"Istituto Lombardo - Accademia di Scienze e Lettere - Incontri di Studio\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Istituto Lombardo - Accademia di Scienze e Lettere - Incontri di Studio\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4081/INCONTRI.2019.464\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Istituto Lombardo - Accademia di Scienze e Lettere - Incontri di Studio","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4081/INCONTRI.2019.464","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
REALISMO E INDETERMINATEZZA NEI FONDAMENTI DELLA MATEMATICA
Two of the most influential foundational approaches in the philosophy of mathematics of the past thirty years, i.e. neologicism and ante rem mathematical structuralism, suffer from metaphysical and semantic indeterminacy. My present aim is to offer an explanation of this phenomenon and provide a solution in terms of arbitrary reference.