Structural Reality

Mark Burgin
UCLA, California, USA

Series: Mathematics Research Developments
BISAC: MAT000000



Volume 10

Issue 1

Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick


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In this attractive and very accessible new book, Mark Burgin, acclaimed author of Neoclassical Analysis: Calculus Closer to the Real World and Theory of Named Sets, examines the deep mysteries of structures, exploring different faces of reality, explicating the structure of the world’s existence and explicating fundamental issues of symbols, signs and concepts. This book is aimed at a wide audience of readers who want to better understand the world in which they live. That is why the author tried to write the main body of the book, that is, all its chapters, without mathematical formulas and formal constructions. However, for a mathematician, it is impossible even to imagine such an important topic as structural reality without a mathematical theory. So, formal constructions, exact definitions, mathematical formulas and examples of advanced mathematical structures are given in the Appendix. (Imprint: Nova)

1. Introduction: Structure as a Basic Category

2. Structures in mathematics: what mathematics is about

3. Structures in science

4. Structuralism and structural realism

5. What is real: layers of existence

6. Signs, symbols and concepts

7. The structure of the world

8. Conclusion

Appendix: Formal concepts of structure


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