Difference between revisions of "Symmetry and Relations"
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To realize why Double Entry Bookkeeping is grounded in many profound ideas, one may start with [[Yoneda Lemma]], a concept that can be summarized as [[Tai-Danae Bradley]]'s statements on her blog<ref name="perspective">[https://www.math3ma.com/blog/the-yoneda-perspective The Yoneda Perspective] by [[Tai-Danae Bradley]]</ref>: | To realize why [[Double Entry Bookkeeping]] is grounded in many profound ideas, one may start with [[Yoneda Lemma]], a concept that can be summarized as [[Tai-Danae Bradley]]'s statements on her blog<ref name="perspective">[https://www.math3ma.com/blog/the-yoneda-perspective The Yoneda Perspective] by [[Tai-Danae Bradley]]</ref>: | ||
1. Mathematical objects are completely determined by their relationships to other objects<ref extends="perspective">The notion of inference through relations.</ref>. | 1. Mathematical objects are completely determined by their relationships to other objects<ref extends="perspective">The notion of inference through relations.</ref>. | ||
2. The properties of a mathematical object are more important than its definition<ref extends="perspective">The properties of objects may contain more information than formal definitions.</ref>. | 2. The properties of a mathematical object are more important than its definition<ref extends="perspective">The properties of objects may contain more information than formal definitions.</ref>. | ||
Latest revision as of 17:07, 24 February 2022
To realize why Double Entry Bookkeeping is grounded in many profound ideas, one may start with Yoneda Lemma, a concept that can be summarized as Tai-Danae Bradley's statements on her blog[1]:
1. Mathematical objects are completely determined by their relationships to other objectsCite error: Invalid<ref>tag; invalid names, e.g. too many. 2. The properties of a mathematical object are more important than its definitionCite error: Invalid<ref>tag; invalid names, e.g. too many.
The two statements above show that Double-Entry Bookkeeping is a numeric version of content invariance/symmetry over time.