Sen·si·ble·ness, n.
1. The quality or state of being sensible; sensibility; appreciation; capacity of perception; susceptibility. “The sensibleness of the eye.” --Sharp. “Sensibleness and sorrow for sin.”
The sensibleness of the divine presence. --Hallywell.
2. Intelligence; reasonableness; good sense.
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sensibleness
n : the quality of showing good sense or practical judgment