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Titlebook: Mathematical Knowledge, Objects and Applications; Essays in Memory of Carl Posy,Yemima Ben-Menahem Book 2023 The Editor(s) (if applicable)

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書目名稱Mathematical Knowledge, Objects and Applications
副標題Essays in Memory of
編輯Carl Posy,Yemima Ben-Menahem
視頻videohttp://file.papertrans.cn/627/626192/626192.mp4
概述Offers insights into leading issues in the philosophy of mathematics.Discusses a wide range of topics.Contributors include some of the most distinguished scholars in the philosophy of mathematics
叢書名稱Jerusalem Studies in Philosophy and History of Science
圖書封面Titlebook: Mathematical Knowledge, Objects and Applications; Essays in Memory of Carl Posy,Yemima Ben-Menahem Book 2023 The Editor(s) (if applicable)
描述This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemic questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these questions, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. The contributors include prominent philosophers of science and mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics with a wider audience and will be of interest to historians, mathematicians and philosophers alike..
出版日期Book 2023
關鍵詞Philosophy of Mathematics; Buck Stopping; Complete and Potential Infinity; Mathematical Explanation; App
版次1
doihttps://doi.org/10.1007/978-3-031-21655-8
isbn_softcover978-3-031-21657-2
isbn_ebook978-3-031-21655-8Series ISSN 2524-4248 Series E-ISSN 2524-4256
issn_series 2524-4248
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Potential Infinity and De Re Knowledge of Mathematical Objectsg the lines of previous work. We then show how potentiality bears on some longstanding items of concern to Mark Steiner: the applicability of mathematics, explanation, and . propositional attitudes toward mathematical objects.
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Platonism and the Proto-ontology of Mathematics: Learning from the Axiom of Choicen the one hand and Hilbert’s ‘finitary standpoint’ on the other. While that standpoint evinces an admirable philosophical unity, it is ultimately an effete rival to Platonism: It leaves mathematical practice untouched, even the highly non-constructive axiom of choice. Brouwer’s intuitionism is a mor
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Ordinals vs. Cardinals in ? and Beyond (Mathematics – application and applicability. In: Shapiro S (ed) The Oxford handbook of philosophy of mathematics and logic. Oxford University Press, 2005) draws attention to the intricate interplay between them, which is made implicit by this conception of them. In this chapter, I present a fittin
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Observer Dependent Physicalism: A New Argument for Reductive Physicalism and for Scientific Realismguments against the alternative views, in particular so-called non-reductive physicalism. In this paper we put forward a new argument for reductive physicalism, according to which it is the best account of the empirical data that we have. In particular, we show that: (a) a reductive physicalist theo
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