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Simplicity: Ideals of Practice in Mathematics and the Arts

Editors:

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  • 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

  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics, Culture, and the Arts (MACUAR)

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  • ISBN: 978-3-319-53385-8
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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xx
  2. Inner Simplicity vs. Outer Simplicity

    • Étienne Ghys
    Pages 1-14
  3. Thinking in Four Dimensions

    • Dusa McDuff
    Pages 27-35
  4. What Simplicity Is Not

    • Maryanthe Malliaris, Assaf Peretz
    Pages 49-58
  5. Constructing the Simples

    • Curtis Franks
    Pages 59-75
  6. The Simplicity Postulate

    • Marjorie Senechal
    Pages 77-83
  7. The Experience of Meaning

    • Jan Zwicky
    Pages 85-103
  8. Math Currents in the Brain

    • Misha Gromov
    Pages 105-118
  9. bc, becuz, Because ASCII

    • Kate Shepherd
    Pages 119-126
  10. Remarks on Simple Proofs

    • Rosalie Iemhoff
    Pages 143-151
  11. “Mathematical Typography” (After Donald Knuth, 1978)

    • Dexter Sinister, D. Reinfurt, S. Bailey
    Pages 177-188
  12. On the Alleged Simplicity of Impure Proof

    • Andrew Arana
    Pages 205-226
  13. Minimalism and Foundations

    • Spencer Gerhardt
    Pages 227-238
  14. Simplicity Is the Point

    • Dennis Sullivan
    Pages 267-274

About this book

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.

Keywords

  • mathematical typography
  • philosophy
  • simplicity art
  • simplicity mathematical art
  • visual arts

Reviews

“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)


Editors and Affiliations

  • Department of Mathematics, The Graduate Center, City University of New York, New York, USA

    Roman Kossak

  • Department of Mathematics, Sarah Lawrence College, Bronxville, USA

    Philip Ording

About the editors

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.

Bibliographic Information

  • Book Title: Simplicity: Ideals of Practice in Mathematics and the Arts

  • Editors: Roman Kossak, Philip Ording

  • Series Title: Mathematics, Culture, and the Arts

  • DOI: https://doi.org/10.1007/978-3-319-53385-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-53383-4

  • Softcover ISBN: 978-3-319-85140-2

  • eBook ISBN: 978-3-319-53385-8

  • Series ISSN: 2520-8578

  • Series E-ISSN: 2520-8586

  • Edition Number: 1

  • Number of Pages: XX, 305

  • Number of Illustrations: 25 b/w illustrations, 1 illustrations in colour

  • Topics: Mathematics in Art and Architecture, Arts, Algebra

Buying options

eBook
USD 19.99 USD 29.99
33% discount Price excludes VAT (USA)
  • ISBN: 978-3-319-53385-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 24.99 USD 39.99
38% discount Price excludes VAT (USA)
Hardcover Book
USD 24.99 USD 39.99
38% discount Price excludes VAT (USA)