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Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures

Philosophy of Mathematics

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"Philosophy of Mathematics" by James Robert Brown is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?

This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.

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Best For: Students and readers interested in the foundational questions and philosophy behind mathematics.
Focus: Explores the nature of mathematical proof, the role of visual reasoning, notation, and the impact of computers in mathematics alongside traditional philosophical views.
Covers: Topics such as formalism, Platonism, constructivism, visual reasoning, the continuum hypothesis, and the value of experiments in mathematics.
Why It Matters: Provides a clear and updated examination of both classic and contemporary issues in the philosophy of mathematics, helping readers understand how mathematical knowledge is constructed and validated.

"Philosophy of Mathematics" by James Robert Brown 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: James Robert Brown

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.

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?

This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.

AuthorJames Robert Brown
PublisherPsychology Press
Published2008
ISBN-139780415960472
BindingPaperback
Pages245
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesRoutledge Contemporary Introductions to Philosophy

Format: Paperback

Length: 245 pages

Language: English

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