Local Facts, Processes, and Gestures

Guerino Mazzola, René Guitart, Jocelyn Ho, Alex Lubet, Maria Mannone, Matt Rahaim, Florian Thalmann

Research output: Chapter in Book/Report/Conference proceedingChapter


In this chapter we describe the mathematical framework for the three fundamental layers of musical ontology: facts, processes, and gestures. The layer of facts is described by the theory of local and global compositions, a major topic in American Set Theory [765] and in the European school developed by the author and his collaborators [682]. The second layer is captured by the American Transformational Theory [605, 538] and, again in Europe, by the author’s theory of categorical limits (and colimits) as embedded in topos theory [714]. The third layer has been the author’s main concern in the last ten years [720, 723, 727], also paralleled by American research such as Robert S. Hatten’s work [446].

Original languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Number of pages8
StatePublished - 2017

Publication series

NameComputational Music Science
ISSN (Print)1868-0305
ISSN (Electronic)1868-0313

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG, part of Springer Nature.


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