The Collaborative International Dictionary of English v.0.48:

Indiscrimination \In`dis*crim`i*na"tion\, n.
   Lack of discrimination or distinction; impartiality.
   --Jefferson.
   [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

35 Moby Thesaurus words for "indiscrimination":
   accidia, acedia, apathy, ataraxia, ataraxy, carelessness,
   casualness, choicelessness, detachment, disinterest, dispassion,
   disregard, disregardfulness, easygoingness, heedlessness,
   inattention, incuriosity, inexcitability, insouciance,
   lack of affect, lackadaisicalness, listlessness, mindlessness,
   negligence, no choice, nonchalance, only choice, pococurantism,
   recklessness, regardlessness, sloth, unanxiousness, unconcern,
   unmindfulness, unsolicitousness