in·cur·a·ble 
(ĭn-kyrə-bəl)
(ĭn-kyrə-bəl)adj.
1. Being such that a cure is impossible; not curable: an incurable disease.
2. Incapable of being altered, as in disposition or habits: an incurable optimist; an incurable smoker.
in·cur′a·bili·ty n.
in·cura·ble n.
in·cura·bly adv.