Source : Webster's Revised Unabridged Dictionary (1913)

Infiniteness \In"fi*nite*ness\, n.
   The state or quality of being infinite; infinity; greatness;
   immensity. --Jer. Taylor.

Source : WordNet®

infiniteness
     n : the quality of being infinite; without bound or limit [syn:
         {infinitude}, {unboundedness}, {boundlessness}, {limitlessness}]
         [ant: {finiteness}]