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The Arche Papers on the Mathematics of Abstraction

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: Readers interested in the logical foundations of mathematics and philosophy of logic.
Focus: The method of abstraction and its application to reconstructing mathematics using abstraction principles.
Covers: Papers on Neo-Fregean approaches, reconstruction of real analysis, and set theory through abstraction.
Why It Matters: It explores foundational issues by extending abstraction methods to core mathematical areas, contributing to understanding the logical basis of mathematics.

"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
Published2010-11-20
ISBN-139789048170906
BindingPaperback
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesThe Western Ontario Philosophy of Science

Format: Paperback

Language: English

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