Paradigmatic Classification

Guerino Mazzola ()
Additional contact information
Guerino Mazzola: University of Zurich, Department of Information Technology MultiMedia Laboratory

Chapter Chapter 10 in The Topos of Music, 2002, pp 191-202 from Springer

Abstract: Summary Paradigmatic classification deals with formation of classes of objects which belong to specific paradigms. Here, paradigms are fields of equivalence or association. In a more general setting than in mathematics, equivalence is not necessarily understood as being a transitive relation. We give motivation of the paradigm concept from musicology, semiotics and poetology, and mathematics. Our taxonomy yields two types of paradigms: by transformations and by similarity—however, in practice, they often appear in mixed form. In a mathematical perspective, the first type is covered by group theory, the second by topology. This means that fuzzy concepts in the humanities are not a priori useless, they can be incorporated into exact reasoning by means of a refined paradigmatic reconstruction.

Keywords: Model Object; Fuzzy Concept; Double Meaning; Pitch Class; Paradigmatic Theory (search for similar items in EconPapers)
Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8141-8_10

Ordering information: This item can be ordered from
http://www.springer.com/9783034881418

DOI: 10.1007/978-3-0348-8141-8_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().