A Systemic Perspective on Cognition and MathematicsAuthor :
Paperback
Published : Friday 26 October 2018
Description
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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