perceptiveness in WordNet English dictionary

1. delicate discrimination (especially of aesthetic values)
   "arrogance and lack of taste contributed to his rapid success"; "to ask at that particular time was the ultimate in bad taste"
   taste  appreciation  discernment  perceptiveness 
   
2. perception of that which is obscure
   discernment  perceptiveness 
   
3. a feeling of understanding
   insight  perceptiveness  perceptivity 
   
4. the quality of insight and sympathetic understanding
   perceptiveness 
   

perceptiveness in English Wiktionary