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A Systemic Perspective on Cognition and Mathematics

A Systemic Perspective on Cognition and Mathematics

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"A Systemic Perspective on Cognition and Mathematics" by Jeffrey Yi-Lin Forrest is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book offers a systemic perspective on cognition and the development of mathematics. First the yoyo model is discussed: a recent development of systems research which has yielded revolutionary applications. After revealing the systemic structure of thought, mathematics is analyzed by using the age-old concepts of actual and potential infinities. A new look is cast at some important paradoxes, each of which played a crucial role in the development of mathematics. Attention then turns to constructing the logical foundation of two different systems of mathematics, one assuming that actual infinity is different than potential infinity, and the other that these infinities are the same.

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Best For: Readers interested in the intersection of cognition and mathematical theory
Focus: Examining the systemic structure of thought and foundational concepts of infinity in mathematics
Covers: The yoyo model in systems research, analysis of actual and potential infinities, key mathematical paradoxes, and logical foundations of two mathematical systems
Why It Matters: It provides a structured approach to understanding how cognition influences mathematical development and explores foundational differences in mathematical systems

"A Systemic Perspective on Cognition and Mathematics" by Jeffrey Yi-Lin Forrest 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: Jeffrey Yi-Lin Forrest

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 book offers a systemic perspective on cognition and the development of mathematics. First the yoyo model is discussed: a recent development of systems research which has yielded revolutionary applications. After revealing the systemic structure of thought, mathematics is analyzed by using the age-old concepts of actual and potential infinities. A new look is cast at some important paradoxes, each of which played a crucial role in the development of mathematics. Attention then turns to constructing the logical foundation of two different systems of mathematics, one assuming that actual infinity is different than potential infinity, and the other that these infinities are the same.

AuthorJeffrey Yi-Lin Forrest
PublisherCRC Press
Published2018-10-25
ISBN-139781138372627
BindingPaperback
Pages412
LanguageEnglish
SubjectsComputers | Software Development & Engineering | Systems Analysis & Design ; Mathematics | Applied ; Technology & Engineering | Engineering (General) ; Technology & Engineering | Civil | General
TopicCore Mathematics
SeriesCommunications in Cybernetics, Systems Science and Engineeri

Format: Paperback

Length: 412 pages

Language: English

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