| 书目名称 | Truth, Objects, Infinity | | 副标题 | New Perspectives on | | 编辑 | Fabrice Pataut | | 视频video | | | 概述 | Offers new approaches to Benacerraf‘s dilemma.Includes original version of "Mathematical Truth" (1968) by Paul Benacerraf.Presents new perspectives on logicism, structuralism and supertasks?.Includes | | 丛书名称 | Logic, Epistemology, and the Unity of Science | | 图书封面 |  | | 描述 | This volume features essays about and by Paul Benacerraf, whose ideas have circulated in the philosophical community since the early nineteen sixties, shaping key areas in the philosophy of mathematics, the philosophy of language, the philosophy of logic, and epistemology. The book started as a workshop held in Paris at the Collège de France in May 2012 with the participation of Paul Benacerraf. The introduction addresses the methodological point of the legitimate use of so-called “Princess Margaret Premises” in drawing philosophical conclusions from Gödel’s first incompleteness theorem. The book is then divided into three sections. The first is devoted to an assessment of the improved version of the original dilemma of “Mathematical Truth” due to Hartry Field: the challenge to the platonist is now to explain the reliability of our mathematical beliefs given the very subject matter of mathematics, either pure or applied. The second addresses the issue of the ontological status ofnumbers: Frege’s logicism, fictionalism, structuralism, and Bourbaki’s theory of structures are called up for an appraisal of Benacerraf’s negative conclusions of “What Numbers Could Not Be.” The third is d | | 出版日期 | Book 2016 | | 关键词 | Benacerraf‘s dilemma; Logicism; Mathematical knowledge; Mathematical objects; Mathematical truth; Platoni | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-45980-6 | | isbn_softcover | 978-3-319-83412-2 | | isbn_ebook | 978-3-319-45980-6Series ISSN 2214-9775 Series E-ISSN 2214-9783 | | issn_series | 2214-9775 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 17:30:53
