Simplicity: Ideals of Practice in Mathematics and the Arts
Editors: Kossak, Roman, Ording, Philip (Eds.)
Free Preview- Probes mathematical aspects of the phenomenon of simplicity as the core practice of mathematics and artwork
- Attempts to build a bridge across the cultures of art and mathematics through simplicity
- Appeals to a broad audience, including readers of art, art history, philosophy, and science, in addition to the general mathematics readership
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- About this book
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To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.
- About the authors
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Roman Kossak’s research is in model theory of nonstandard models of formal arithmetic. For over 30 years he has worked at the City University of New York, where he teaches developmental courses at Bronx Community College and mathematical logic and model theory at the Graduate Center. His other interests include phenomenology and interactions between mathematics and the arts.
Philip Ording is a member of the mathematics faculty at Sarah Lawrence College in Bronxville, New York. He received a PhD in Mathematics from Columbia University in 2006. While a graduate student of topology and geometry he began working as a mathematics consultant in art and architecture studios in New York. Since then he has published essays, curated exhibitions, and lectured on the intersection of mathematics and the arts.
- Reviews
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“I have been struck by certain rhetorical habits that are characteristic of writing, by mathematicians or artists or philosophers, about the arts or mathematics or philosophy. These habits—which are as remarkable … are on display in the Book … .” (Michel Harris, The Mathematical Intelligencer, Vol. 41, June, 2019)
- Table of contents (19 chapters)
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Inner Simplicity vs. Outer Simplicity
Pages 1-14
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The Complexity of Simplicity: The Inner Structure of the Artistic Image
Pages 15-26
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Thinking in Four Dimensions
Pages 27-35
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Kant, Co-Production, Actuality, and Pedestrian Space: Remarks on the Philosophical Writings of Fred Sandback
Pages 37-48
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What Simplicity Is Not
Pages 49-58
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Table of contents (19 chapters)
- Download Preface 1 PDF (65.5 KB)
- Download Sample pages 1 PDF (148.9 KB)
- Download Table of contents PDF (55.1 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Simplicity: Ideals of Practice in Mathematics and the Arts
- Editors
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- Roman Kossak
- Philip Ording
- Series Title
- Mathematics, Culture, and the Arts
- Copyright
- 2017
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-53385-8
- DOI
- 10.1007/978-3-319-53385-8
- Hardcover ISBN
- 978-3-319-53383-4
- Softcover ISBN
- 978-3-319-85140-2
- Series ISSN
- 2520-8578
- Edition Number
- 1
- Number of Pages
- XX, 305
- Number of Illustrations
- 25 b/w illustrations, 1 illustrations in colour
- Topics
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