Yoneda Perspectives

  • Guerino Mazzola
Part of the Computational Music Science book series (CMS)


This chapter reviews and completes the inherent paradigm change from “object-based” to functorial mathematics which was initiated by category theory, and completed in the celebrated Yoneda Lemma. Beyond an apparant technical innocence, this lemma introduced a revolution in understanding structures of general types, and transcending pure mathematics. Its implications touch general hermeneutics as well as esthetics of art, and—quite paradoxically!—principles of “object-oriented” programming.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Guerino Mazzola
    • 1
  1. 1.School of MusicUniversity of MinnesotaMinneapolisUSA

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