Natural Numbers

Guerino Mazzola, Maria Mannone, Yan Pang

Research output: Chapter in Book/Report/Conference proceedingChapter


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 languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Number of pages6
StatePublished - 2016

Publication series

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

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.


  • Music Theory
  • Natural Number
  • Ordinal Number
  • Prime Interval
  • String Instrument


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