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uncountable
The state or quality of being continuous. quotations examples
Continuousness is that property of style which represents the thought as connected and flowing.
1867, Henry Noble Day, The Art of Discourse
Statives, however, are characterized by internal homogeneity and continuousness; they are unbounded in time, just as mass nouns are unbounded in space.
1992, William Frawley, Linguistic Semantics