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Titlebook: Connecting Humans to Equations; A Reinterpretation o Ole Ravn,Ole Skovsmose Book 2019 Springer Nature Switzerland AG 2019 Philosophy of mat

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發(fā)表于 2025-3-21 18:21:17 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Connecting Humans to Equations
副標(biāo)題A Reinterpretation o
編輯Ole Ravn,Ole Skovsmose
視頻videohttp://file.papertrans.cn/236/235598/235598.mp4
概述Provides an accessible exposition of established positions in the philosophy of mathematics.Adds new dimensions to the philosophy of mathematics.Shows how mathematics makes an integral part of human a
叢書(shū)名稱History of Mathematics Education
圖書(shū)封面Titlebook: Connecting Humans to Equations; A Reinterpretation o Ole Ravn,Ole Skovsmose Book 2019 Springer Nature Switzerland AG 2019 Philosophy of mat
描述.Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics. presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics?..?These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and a
出版日期Book 2019
關(guān)鍵詞Philosophy of mathematics; history of mathematics; Platonism; Axiomatisation; Mental relations; Begriffss
版次1
doihttps://doi.org/10.1007/978-3-030-01337-0
isbn_ebook978-3-030-01337-0Series ISSN 2509-9736 Series E-ISSN 2509-9744
issn_series 2509-9736
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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發(fā)表于 2025-3-21 21:38:03 | 只看該作者
https://doi.org/10.1007/978-3-7643-8713-6gicians such as Frege and G?del voiced Platonist notions. Thus the chapter addresses Platonism after Plato, Platonism before Plato, as well as Plato’s Platonism. Furthermore, the chapter examines the idea of axiomatisation, and how this structures Euclid’s .. This work got a paradigmatic significanc
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發(fā)表于 2025-3-22 01:58:42 | 只看該作者
Mechthild Regenass-Klotz,Urs Regenasshematics is the “l(fā)anguage of nature,” infinitesimals must somehow relate to entities in reality. But as such, they are rather unmanageable, for how can a world that has actual extension be built by units so small that they have no extent? How many infinitesimals have to be added up in order to turn
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Introduction to tropical geometry,ure that they, when properly chosen, cannot lead to contradictions..This programme appears extremely ambitious, for how can one ensure that one cannot, sometime in the future, end up in deducing contradictions in some mathematical theories? Mathematics is continually developing, and one can imagine
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Introduction to tropical geometry,about language, Wittgenstein has in mind the formal language provided by mathematics and logic. This leads to the slogan that mathematics is the language of science. Wittgenstein also makes the observation that mathematics is composed of tautologies, which points towards the formalist programme, acc
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https://doi.org/10.1007/978-3-0346-0048-4sembles natural sciences. Mathematics is about concept development, and it is driven forward by particular observations concerning conceptual connections. With reference to Euler’s polyhedron theorem, Lakatos provides a detailed specification of how this development takes place, which he condenses i
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