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Connecting humans to equationsa rein...

Ravn, Ole.

Connecting humans to equationsa reinterpretation of the philosophy of mathematics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Connecting humans to equationsby Ole Ravn, Ole Skovsmose.
其他題名:	a reinterpretation of the philosophy of mathematics /
作者:	Ravn, Ole.
其他作者:	Skovsmose, Ole.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xxiv, 188 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	MathematicsPhilosophy.
電子資源:	https://doi.org/10.1007/978-3-030-01337-0
ISBN:	9783030013370$q(electronic bk.)

Connecting humans to equationsa reinterpretation of the philosophy of mathematics /
Ravn, Ole.

Connecting humans to equationsa reinterpretation of the philosophy of mathematics /[electronic resource] :by Ole Ravn, Ole Skovsmose. - Cham :Springer International Publishing :2019. - xxiv, 188 p. :ill., digital ;24 cm. - History of mathematics education,2509-9736. - History of mathematics education..

Part I. Where is Mathematics? -- Chapter 1: Mathematics in Eternity -- Chapter 2: Mathematics in Nature -- Chapter 3: Mathematics in Mind -- Part II: How Certain is Mathematics? -- Chapter 4: A Solid House of Cards -- Chapter 5: The Magnificent Disaster -- Chapter 6: Mathematics without Content -- Part III: How Social is Mathematics? -- Chapter 7: Mathematics as Intuition -- Chapter 8: Mathematics as Dialogue -- Chapter 9: Mathematics as Grammar -- Part VI: How Good is Mathematics? -- Chapter 10: Beyond the isolation of Mathematics -- Chapter 11: Beyond the Neutrality of Mathematics -- Chapter 12: What is the Philosophy of Mathematics?

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 any technical discipline and for anybody working with mathematics.

ISBN: 9783030013370$q(electronic bk.)

Standard No.: 10.1007/978-3-030-01337-0doiSubjects--Topical Terms:

187658
Mathematics
--Philosophy.

LC Class. No.: QA8.4 / .R386 2019

Dewey Class. No.: 510.1

Connecting humans to equationsa reinterpretation of the philosophy of mathematics /
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520 $a 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 any technical discipline and for anybody working with mathematics.
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