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Books > Social sciences > Psychology > Philosophy & theory of psychology
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A Systemic Perspective on Cognition and Mathematics (Paperback)
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A Systemic Perspective on Cognition and Mathematics (Paperback)
Series: Communications in Cybernetics, Systems Science and Engineering
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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.
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