Etymology
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incorrigibility (n.)

"incapability of correction or amendment," late 15c., incorrigibilite, from Medieval Latin incorrigibilitas; see incorrigible + -ity.

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inability (n.)
mid-15c., inhabilite, "disqualification for office," from in- (1) + ability. Earlier was unability "incapability; incompetence" (late 14c.). General sense "state of being unable" is recorded by c. 1500.
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incapable (adj.)

"not capable," 1590s, from French incapable (16c.) and directly from Medieval Latin incapabilis "incapable," from in- "not" (see in- (1)) + capabilis "receptive; able to grasp or hold" (see capable). Related: Incapably; incapability.

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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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