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A Systemic Perspective on Cognition and Mathematics

By Jeffrey Yi-Lin Forrest

To Be Published March 7th 2013 by CRC Press – 412 pages

Series: Communications in Cybernetics, Systems Science and Engineering

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  • Hardback: 978-1-13-800016-2: $79.95 Add to Cart
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Description

This book offers a systemic perspective on cognition and the historical development of mathematics. First the yoyo model is discussed: a recent development of systems research, which has brought forward revolutionary applications of systems research in various fields of traditional disciplines. 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 is then turned 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. This volume will be of interest to academic researchers, students and professionals in the areas of systems science, mathematics, philosophy of mathematics, and philosophy of science.

Contents

Part 1 Basics 1. Where Everything Starts 2. Elementary Properties of Systemic Yoyos Part 2 The Mind 3. Human Body as a System 4. The Four Endowments of Man 5. Character and Thought Part 3 Mathematics Seen as a Systemic Flow: A Case Study 6. A Brief History of Mathematics 7. Actual and Potential Infinities 8. Are Actual and Potential Infinity the Same? 9. Inconsistencies of Modern Mathematics Part 4 Next Stage of Mathematics as a Systemic Field of Thought 10. Calculus without Limit 11. A New Look at Some Historically Important Paradoxes 12. An Attempt to Rebuild the System of Mathematics Afterword A Systemic Yoyo Model Prediction Part 5 Appendices: A Close Look at the Systemic Yoyo Model

Name: A Systemic Perspective on Cognition and Mathematics (Hardback) – CRC Press 
Description: By Jeffrey Yi-Lin Forrest. This book offers a systemic perspective on cognition and the historical development of mathematics. First the yoyo model is discussed: a recent development of systems research, which has brought forward revolutionary applications of systems research in...
Categories: Systems & Control Engineering, Intelligent Systems, Mathematics & Statistics for Engineers