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Titlebook: Objectivity, Realism, and Proof; FilMat Studies in th Francesca Boccuni,Andrea Sereni Book 2016 Springer International Publishing Switzerla

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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videohttp://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Titlebook: Objectivity, Realism, and Proof; FilMat Studies in th Francesca Boccuni,Andrea Sereni Book 2016 Springer International Publishing Switzerla
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
doihttps://doi.org/10.1007/978-3-319-31644-4
isbn_softcover978-3-319-81085-0
isbn_ebook978-3-319-31644-4Series ISSN 0068-0346 Series E-ISSN 2214-7942
issn_series 0068-0346
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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The Search for New Axioms in the Hyperuniverse Programmeies higher-order statements motivated by the maximal iterative concept. The satisfaction of these statements (.-axioms) in countable transitive models, the collection of which constitutes the ‘hyperuniverse’ (.), has remarkable first-order consequences, some of which we review in Sect.?..
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Discussion Note On: “Semantic Nominalism: How I Learned to Stop Worrying and Love Universals” by G. n Paris on December, 14–15, 2015. The note’s and volume’s editors would like to thank all participants in the discussion for their contributions, and Alberto Naibo, Michael Wright and the personnel at IHPST for their technical support.
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