Abstract
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.
Original language | English (US) |
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Title of host publication | Computational Music Science |
Publisher | Springer Nature |
Pages | 145-156 |
Number of pages | 12 |
DOIs | |
State | Published - 2017 |
Publication series
Name | Computational Music Science |
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ISSN (Print) | 1868-0305 |
ISSN (Electronic) | 1868-0313 |
Bibliographical note
Publisher Copyright:© 2017, Springer International Publishing AG, part of Springer Nature.