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Mathematical Thought and Its Objects

Mathematical Thought and its Objects

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"Mathematical Thought and its Objects" by Charles Parsons is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

In Mathematical Thought and Its Objects, Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a "nature" than that confers on them.

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Best For: Students and scholars interested in the philosophy of mathematics and foundational issues
Focus: The nature and existence of mathematical objects, especially through the lens of structuralism
Covers: Philosophical debates on nominalism and Platonism in mathematics, and the concept of mathematical structure
Why It Matters: It addresses fundamental questions about what mathematical objects are and how they exist, contributing to understanding the foundations of mathematics

"Mathematical Thought and its Objects" by Charles Parsons 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: Charles Parsons

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 Mathematical Thought and Its Objects, Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a "nature" than that confers on them.

AuthorCharles Parsons
PublisherCambridge University Press
Published2007-12-24
ISBN-139780521452793
BindingHardcover
Pages400
LanguageEnglish
SubjectsScience
TopicCore Mathematics

Format: Hardcover

Length: 400 pages

Language: English

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