Monad
Monad is a way to preserve symmetries in the space of functions while allowing for maximal compositionality. It is also Leibniz's way[1][2] to stating the notion of Digital Twin and Metaverse.
Don't fear the Monad
Brian Beckman had an hour-long video that explains Monad in a rather detailed and insightful tutorial[3]. Therefore, a special page was dedicated to annotate the tutorial with segmented video clips. Just click on this link:Don't fear the Monad, to get access to the annotation. The following is the shortened version of the page:
Synopsis of Beckman's Tutorial on Monad
- Monad is the way to build complexity from simplicity
- Monad is ruled by one customizable rule that rules them all
- Monad is hard to learn because of a broken symmetry
The idea of Monad can be traced back to the mathematical structure: Monoid, which is just an algebra with one element only. This mathematical structure provides a basis to reduce complexity. As Beckman says:
Monoid helps to guarantee you to build a software with one and only one type ...(start at 1126)
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References
- ↑ Monadology
- ↑ Leevark, ed. (May 1, 2020). Leibniz's Monads Explained. local page: Leevark.
- ↑ Beckman, Brian (Nov 21, 2012). Brian Beckman: Don't fear the Monad. local page: jasonofthel33t.