cross-purpose
NounWordNet 3.0
Noun (1)
- a contrary aim“at cross-purposes”
Webster's Dictionary (GCIDE)
cross-purpose \cross"-pur`pose\ (-p?r`p?s), n.
1.A counter or opposing purpose; a contrary aim; hence, that which is inconsistent or contradictory. --Shaftesbury. [1913 Webster]
2.pl. A conversational game, in which questions and answers are made so as to involve ludicrous combinations of ideas. --Pepys. [1913 Webster]
To be at cross-purposes, to misunderstand or to act counter to one another without intending it; -- said of persons. [1913 Webster]