Discrete is a form of mathematics and a ring setting on my phone. Synonyms that come to mind: subtle, passive, separated, finite, limited.
Continuous can be seen as the opposite. Synonyms include topology, morphing, articulated, connected. It seems that "continuous" is not as mathematical as discrete and in our topology/euclidean geometry binary, it doesn't quite work out as a ying and a yang. Discrete and continuous sound more like a ying and a yong, if that means anything.
Somehow, discrete seems more accurate in our dialogue while continuous being too general.
I am looking into the words perhaps a little too much, but looking nonetheless..
This post could be meaningless.
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