| 書(shū)目名稱 | Objectivity, Realism, and Proof | | 副標(biāo)題 | FilMat Studies in th | | 編輯 | Francesca Boccuni,Andrea Sereni | | 視頻video | http://file.papertrans.cn/701/700227/700227.mp4 | | 概述 | Contains cutting-edge research from renowned philosophers and younger scholars.Shows the lively and multifarious character of the current debate.Presents new contributions in several areas of the phil | | 叢書(shū)名稱 | Boston Studies in the Philosophy and History of Science | | 圖書(shū)封面 |  | | 描述 | .This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge..The essays collected here? explore? the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe.? They consider fundamental philosophical notions such as set, cardinal number, truth, ground,? finiteness and infinity, examining? how their informal conceptions can best be captured in formal theories...The philosophy of mathematics is an extremely lively? field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history | | 出版日期 | Book 2016 | | 關(guān)鍵詞 | Formal Analysis; Formal Theories; Foundations of Mathematics; Informal Notions; Ontology in Mathematics; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-31644-4 | | isbn_softcover | 978-3-319-81085-0 | | isbn_ebook | 978-3-319-31644-4Series ISSN 0068-0346 Series E-ISSN 2214-7942 | | issn_series | 0068-0346 | | copyright | Springer International Publishing Switzerland 2016 |
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