Natural Numbers

Guerino Mazzola; Maria Mannone; Yan Pang

doi:10.1007/978-3-319-42937-3_6

Natural Numbers

Guerino Mazzola, Maria Mannone, Yan Pang

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Natural numbers are the first topic studied by all students in first years of elementary school. Here, the classic definitions of ordinal and natural numbers are entirely derived from set theory. The well-known five Peano axioms that define natural numbers are now presented as a theorem.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	71-76
Number of pages	6
DOIs	https://doi.org/10.1007/978-3-319-42937-3_6
State	Published - 2016

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.

Keywords

Music Theory
Natural Number
Ordinal Number
Prime Interval
String Instrument

Publisher link

10.1007/978-3-319-42937-3_6

Find It

Find It at U of M Libraries

Cite this

@inbook{c5204de1a048479096b649ae5656a2ce,

title = "Natural Numbers",

abstract = "Natural numbers are the first topic studied by all students in first years of elementary school. Here, the classic definitions of ordinal and natural numbers are entirely derived from set theory. The well-known five Peano axioms that define natural numbers are now presented as a theorem.",

keywords = "Music Theory, Natural Number, Ordinal Number, Prime Interval, String Instrument",

author = "Guerino Mazzola and Maria Mannone and Yan Pang",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing Switzerland.",

year = "2016",

doi = "10.1007/978-3-319-42937-3_6",

language = "English (US)",

series = "Computational Music Science",

publisher = "Springer Nature",

pages = "71--76",

booktitle = "Computational Music Science",

address = "United States",

}

TY - CHAP

T1 - Natural Numbers

AU - Mazzola, Guerino

AU - Mannone, Maria

AU - Pang, Yan

PY - 2016

Y1 - 2016

N2 - Natural numbers are the first topic studied by all students in first years of elementary school. Here, the classic definitions of ordinal and natural numbers are entirely derived from set theory. The well-known five Peano axioms that define natural numbers are now presented as a theorem.

AB - Natural numbers are the first topic studied by all students in first years of elementary school. Here, the classic definitions of ordinal and natural numbers are entirely derived from set theory. The well-known five Peano axioms that define natural numbers are now presented as a theorem.

KW - Music Theory

KW - Natural Number

KW - Ordinal Number

KW - Prime Interval

KW - String Instrument

UR - http://www.scopus.com/inward/record.url?scp=85136650516&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85136650516&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-42937-3_6

DO - 10.1007/978-3-319-42937-3_6

M3 - Chapter

AN - SCOPUS:85136650516

T3 - Computational Music Science

SP - 71

EP - 76

BT - Computational Music Science

PB - Springer Nature

ER -

Natural Numbers

Abstract

Publication series

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this