cross-purpose

cross-purpose is a   Noun

Definition:

[1] A counter or opposing purpose; hence, that which is inconsistent or contradictory. Shaftesbury.

[2] A conversational game, in which questions and answers are made so as to involve ludicrous combinations of ideas. Pepys. To be at cross-purposes, to misunderstand or to act counter to one another without intending it; -- said of persons.

Synonyms: