{"title":"无需归纳的经典确定性真理","authors":"Bartosz Wcisło","doi":"arxiv-2408.01198","DOIUrl":null,"url":null,"abstract":"Fujimoto and Halbach had introduced a novel theory of type-free truth CD\nwhich satisfies full classical compositional clauses for connectives and\nquantifiers. Answering their question, we show that the induction-free variant\nof that theory is conservative over Peano Arithmetic.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":"202 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Classical determinate truth without induction\",\"authors\":\"Bartosz Wcisło\",\"doi\":\"arxiv-2408.01198\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fujimoto and Halbach had introduced a novel theory of type-free truth CD\\nwhich satisfies full classical compositional clauses for connectives and\\nquantifiers. Answering their question, we show that the induction-free variant\\nof that theory is conservative over Peano Arithmetic.\",\"PeriodicalId\":501306,\"journal\":{\"name\":\"arXiv - MATH - Logic\",\"volume\":\"202 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.01198\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.01198","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
藤本和哈尔巴赫提出了一种新颖的无类型真值 CD 理论，它满足连接词和量词的全经典组成子句。为了回答他们的问题，我们证明了该理论的无归纳变体在皮亚诺算术上是保守的。
Fujimoto and Halbach had introduced a novel theory of type-free truth CD
which satisfies full classical compositional clauses for connectives and
quantifiers. Answering their question, we show that the induction-free variant
of that theory is conservative over Peano Arithmetic.
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