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The Arche Papers on the Mathematics of Abstraction (2007)

The Arché Papers on the Mathematics of Abstraction

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"The Arché Papers on the Mathematics of Abstraction" by Roy T. Cook is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. Attention is focused on extending the Neo-Fregean treatment to all of mathematics, with the reconstruction of real analysis from various cut- or cauchy-sequence-related abstraction principles and the reconstruction of set theory from various restricted versions of Basic Law V as case studies.

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Best For: Students and researchers interested in the foundations of mathematics and logic
Focus: The method of abstraction and the use of abstraction principles to reconstruct mathematics
Covers: Neo-Fregean approaches, reconstruction of real analysis using cut- and Cauchy-sequence-related abstraction principles, and set theory
Why It Matters: It explores foundational issues by extending logicist methods to core areas of mathematics, contributing to the understanding of mathematical abstraction

"The Arché Papers on the Mathematics of Abstraction" by Roy T. Cook 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: Roy T. Cook

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 volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. Attention is focused on extending the Neo-Fregean treatment to all of mathematics, with the reconstruction of real analysis from various cut- or cauchy-sequence-related abstraction principles and the reconstruction of set theory from various restricted versions of Basic Law V as case studies.

AuthorRoy T. Cook
PublisherSpringer
Published2007-10-23
ISBN-139781402042645
BindingHardcover
Pages454
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesThe Western Ontario Philosophy of Science

Format: Hardcover

Length: 454 pages

Language: English

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