Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | The Topos of Music - Geometric Logic of Concepts, Theory, and Performance

The Topos of Music

Geometric Logic of Concepts, Theory, and Performance

With contributions by numerous experts

Mazzola, Guerino

2002, XCVI, 1344 p. In 3 volumes, not available separately.

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$149.00

(net) price for USA

ISBN 978-3-0348-8141-8

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$209.00

(net) price for USA

ISBN 978-3-7643-5731-3

free shipping for individuals worldwide

online orders shipping within 2-3 days.


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$189.00

(net) price for USA

ISBN 978-3-0348-9454-8

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

Man kann einen jeden BegrifJ, einen jeden Titel, darunter viele Erkenntnisse gehoren, einen logischen Ort nennen. Immanuel Kant [258, p. B 324] This book's title subject, The Topos of Music, has been chosen to communicate a double message: First, the Greek word "topos" (r01rex; = location, site) alludes to the logical and transcendental location of the concept of music in the sense of Aristotle's [20, 592] and Kant's [258, p. B 324] topic. This view deals with the question of where music is situated as a concept­ and hence with the underlying ontological problem: What is the type of being and existence of music? The second message is a more technical understanding insofar as the system of musical signs can be associated with the mathematical theory of topoi, which realizes a powerful synthesis of geometric and logical theories. It laid the foundation of a thorough geometrization of logic and has been successful in central issues of algebraic geometry (Grothendieck, Deligne), independence proofs and intuitionistic logic (Cohen, Lawvere, Kripke). But this second message is intimately entwined with the first since the present concept framework of the musical sign system is technically based on topos theory, so the topos of music receives its top os-theoretic foundation. In this perspective, the double message of the book's title in fact condenses to a unified intention: to unite philosophical insight with mathematical explicitness.

Content Level » Research

Keywords » Fractal - Interpretation - Regression analysis - Sage - Theodor W. Adorno - correlation - counterpoint - mathematics - music theory - similarity - structure - topos theory

Related subjects » Birkhäuser Mathematics

Table of contents / Preface 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Applications of Mathematics.

Additional information