A Systemic Perspective on Cognition and Mathematics

A Systemic Perspective on Cognition and Mathematics
Author :
Publisher : CRC Press
Total Pages : 444
Release :
ISBN-10 : 9781138000162
ISBN-13 : 1138000167
Rating : 4/5 (62 Downloads)

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

Download or read book A Systemic Perspective on Cognition and Mathematics written by Jeffrey Yi-Lin Forrest and published by CRC Press. This book was released on 2013-02-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking development of systems research, which has brought forward revolutionary applications of systems research in various areas of the traditional disciplines, the first dimension of science. After the systemic structure of thought is factually revealed, mathematics, as a product of thought, is analyzed by using the age-old concepts of actual and potential infinities. In an attempt to rebuild the system of mathematics, this volume first provides a new look at some of the most important paradoxes, which have played a crucial role in the development of mathematics, in proving what these paradoxes really entail. 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.


A Systemic Perspective on Cognition and Mathematics Related Books

A Systemic Perspective on Cognition and Mathematics
Language: en
Pages: 444
Authors: Jeffrey Yi-Lin Forrest
Categories: Computers
Type: BOOK - Published: 2013-02-28 - Publisher: CRC Press

DOWNLOAD EBOOK

This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a
A Systemic Perspective on Cognition and Mathematics
Language: en
Pages: 434
Authors: Jeffrey Yi-Lin Forrest
Categories: Computers
Type: BOOK - Published: 2013-02-28 - Publisher: CRC Press

DOWNLOAD EBOOK

This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a
General Systems Theory
Language: en
Pages: 378
Authors: Jeffrey Yi-Lin Forrest
Categories: Science
Type: BOOK - Published: 2018-12-19 - Publisher: Springer

DOWNLOAD EBOOK

This book demonstrates the theoretical value and practical significance of systems science and its logic of thinking by presenting a rigorously developed founda
Understanding Emotions in Mathematical Thinking and Learning
Language: en
Pages: 476
Authors: Ulises Xolocotzin
Categories: Psychology
Type: BOOK - Published: 2017-05-12 - Publisher: Academic Press

DOWNLOAD EBOOK

Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary ap
Cognition in Practice
Language: en
Pages: 236
Authors: Jean Lave
Categories: Mathematics
Type: BOOK - Published: 1988-07-29 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Most previous research on human cognition has focused on problem-solving, and has confined its investigations to the laboratory. As a result, it has been diffic