Etymology
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insolubility (n.)

1754, "incapability of dissolving in a liquid," 1791, from Late Latin insolubilitas, from Latin insolubilis "that cannot be loosened" (see insoluble). Earlier in a sense "that cannot be dissolved" (of marriage), 1610s. The meaning "that cannot be solved" (1722) probably is a separate formation from insoluble.

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Definitions of insolubility

insolubility (n.)
the property (of a problem or difficulty) that makes it impossible to solve;
Synonyms: unsolvability
insolubility (n.)
the quality of being insoluble and difficult to dissolve in liquid;
From wordnet.princeton.edu