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Why Is There Philosophy of Mathematics At All?

Why Is There Philosophy of Mathematics At All?

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"Why Is There Philosophy of Mathematics At All?" by Ian Hacking is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

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Best For: Readers interested in the foundational questions of mathematics and its philosophical implications.
Focus: Exploring the nature of mathematics, the origin and evolution of proof, and the distinction between pure and applied mathematics.
Covers: Philosophical analysis of mathematical proof, the relationship between mathematics and nature, and historical development of mathematical concepts.
Why It Matters: It addresses fundamental questions about what defines mathematics and how its practices have developed, contributing to a deeper understanding of the discipline's role and nature.

"Why Is There Philosophy of Mathematics At All?" by Ian Hacking is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Ian Hacking

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

AuthorIan Hacking
PublisherCambridge University Press
Published2014-01-30
ISBN-139781107658158
BindingPaperback
Pages304
LanguageEnglish
SubjectsScience
TopicCore Mathematics

Format: Paperback

Length: 304 pages

Language: English

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