The Collaborative International Dictionary of English v.0.48:

Uprightness \Up"right`ness\ ([u^]p"r[imac]t`n[e^]s), n.
   the quality or state of being upright.
   [1913 Webster]

WordNet (r) 3.0 (2006):

uprightness
    n 1: the property of being upright in posture [syn: erectness,
         uprightness]
    2: position at right angles to the horizon [syn: verticality,
       verticalness, erectness, uprightness]
    3: righteousness as a consequence of being honorable and honest
       [syn: uprightness, rectitude]