Art cross purposes is a phrase used to describe a situation where two or more people are working towards different goals or objectives, often in conflict with each other. Some synonyms for this phrase include conflicting interests, opposing aims, divergent agendas, and discordant objectives. Such situations can arise in various contexts, including business, politics, and personal relationships. To avoid art cross purposes, communication and clarity of objectives are essential. It's important to understand each other's goals and establish a common ground. In doing so, parties can work together towards mutually beneficial outcomes, rather than working against each other.