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Philosophia Mathematica最新文献

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Frederick Kroon, Jonathan McKeown-Green, and Stuart Brock. A Critical Introduction to Fictionalism 弗雷德里克·克鲁恩，乔纳森·麦基翁-格林和斯图尔特·布洛克。小说主义批判导论
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-06-30 DOI: 10.1093/philmat/nkac012
M. Leng
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引用次数: 0
Salvatore Florio and Øystein Linnebo. The Many and the One. A Philosophical Study of Plural Logic Salvatore Florio和Öystein Linnebo。The Many and The One。多元逻辑的哲学研究
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-06-25 DOI: 10.1093/philmat/nkac009
F. Boccuni
{"title":"Salvatore Florio and Øystein Linnebo. The Many and the One. A Philosophical Study of Plural Logic","authors":"F. Boccuni","doi":"10.1093/philmat/nkac009","DOIUrl":"https://doi.org/10.1093/philmat/nkac009","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49451448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bradley Armour-Garb and Frederick Kroon, eds. Fictionalism in Philosophy 布拉德利·阿玛尔-加尔布和弗雷德里克·克鲁恩编。哲学中的虚构主义
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-06-14 DOI: 10.1093/philmat/nkac010
F. Kroon
{"title":"Bradley Armour-Garb and Frederick Kroon, eds. Fictionalism in Philosophy","authors":"F. Kroon","doi":"10.1093/philmat/nkac010","DOIUrl":"https://doi.org/10.1093/philmat/nkac010","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45344363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Penelope Maddy. A Plea for Natural Philosophy: And Other Essays 佩内洛普·马迪。为自然哲学辩护：及其他随笔
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-04-01 DOI: 10.1093/philmat/nkac030
{"title":"Penelope Maddy. A Plea for Natural Philosophy: And Other Essays","authors":"","doi":"10.1093/philmat/nkac030","DOIUrl":"10.1093/philmat/nkac030","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44021473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Breaking the Tie: Benacerraf's Identification Argument Revisited 打破平局：对贝纳瑟拉夫身份认同论的再认识
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-04-01 DOI: 10.1093/philmat/nkac022
Arnon Avron;Balthasar Grabmayr
{"title":"Breaking the Tie: Benacerraf's Identification Argument Revisited","authors":"Arnon Avron;Balthasar Grabmayr","doi":"10.1093/philmat/nkac022","DOIUrl":"10.1093/philmat/nkac022","url":null,"abstract":"Most philosophers take Benacerraf's argument in ‘What numbers could not be’ to rebut successfully the reductionist view that numbers are sets. This philosophical consensus jars with mathematical practice, in which reductionism continues to thrive. In this note, we develop a new challenge to Benacerraf's argument by contesting a central premise which is almost unanimously accepted in the literature. Namely, we argue that — contra orthodoxy — there are metaphysically relevant reasons to prefer von Neumann ordinals over other set-theoretic reductions of arithmetic. In doing so, we provide set-theoretical facts which, we believe, are crucial for informed assessment of reductionism.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46615070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Negation in Negationless Intuitionistic Mathematics 无否定直觉数学中的否定
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-04-01 DOI: 10.1093/philmat/nkac026
Thomas Macaulay Ferguson
{"title":"Negation in Negationless Intuitionistic Mathematics","authors":"Thomas Macaulay Ferguson","doi":"10.1093/philmat/nkac026","DOIUrl":"10.1093/philmat/nkac026","url":null,"abstract":"The mathematician G.F.C. Griss is known for his program of negationless intuitionistic mathematics. Although Griss's rejection of negation is regarded as characteristic of his philosophy, this is a consequence of an executability requirement that mental constructions presuppose agents’ executing corresponding mental activity. Restoring Griss's executability requirement to a central role permits a more subtle characterization of the rejection of negation, according to which D. Nelson's strong constructible negation is compatible with Griss's principles. This exposes a ‘holographic’ theory of negation in negationless mathematics, in which a full theory of negation is ‘flattened’ in a putatively negationless setting.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47393855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Frédéric Patras. The Essence of Numbers 弗雷德里克·帕特拉斯。数字的本质
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-04-01 DOI: 10.1093/philmat/nkac028
Bonnie Gold
{"title":"Frédéric Patras. The Essence of Numbers","authors":"Bonnie Gold","doi":"10.1093/philmat/nkac028","DOIUrl":"https://doi.org/10.1093/philmat/nkac028","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68133728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Gianluigi Oliveri, Claudio Ternullo, Stefano Boscolo, eds. Objects, Structures, and Logics: FilMat Studies in the Philosophy of Mathematics Gianluigi Oliveri，Claudio Ternullo，Stefano Boscolo编辑。对象、结构和逻辑：数学哲学中的FilMat研究
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-04-01 DOI: 10.1093/philmat/nkac007
{"title":"Gianluigi Oliveri, Claudio Ternullo, Stefano Boscolo, eds. Objects, Structures, and Logics: FilMat Studies in the Philosophy of Mathematics","authors":"","doi":"10.1093/philmat/nkac007","DOIUrl":"10.1093/philmat/nkac007","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48226820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Andrew Arana and Marco Panza, eds. Précis de philosophie de la logique et des mathématiques. Vol. 2. Philosophie des mathématiques 他的父亲是一名律师，母亲是一名律师。逻辑和数学的精确哲学。第2卷。数学哲学
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-04-01 DOI: 10.1093/philmat/nkac031
{"title":"Andrew Arana and Marco Panza, eds. Précis de philosophie de la logique et des mathématiques. Vol. 2. Philosophie des mathématiques","authors":"","doi":"10.1093/philmat/nkac031","DOIUrl":"10.1093/philmat/nkac031","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42268848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Jan von Plato.  Can Mathematics be Proved Consistent? 扬·冯·柏拉图。数学可以被证明是一致的吗？
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-04-01 DOI: 10.1093/philmat/nkac014
John W Dawson
{"title":"Jan von Plato.  Can Mathematics be Proved Consistent?","authors":"John W Dawson","doi":"10.1093/philmat/nkac014","DOIUrl":"10.1093/philmat/nkac014","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46172108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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