What is another word for is at cross purposes?
Pronunciation: [ɪz at kɹˈɒs pˈɜːpəsɪz] (IPA) 
The phrase "is at cross purposes" can be synonymous with other phrases that describe a lack of agreement or alignment in communication or objectives. For instance, someone might say that two parties are "talking past each other," implying that they are not understanding or acknowledging each other's points. Alternatively, "conflicting interests" might be used to suggest that two parties have opposing goals, despite appearing to be working towards the same end. Similarly, "being on different wavelengths" might suggest that people are coming at the same conversation or problem from completely different perspectives, which can make collaboration challenging. Ultimately, it's important to recognize these phrases as signals for potential miscommunications, and to work towards achieving clarity and coherence in communication.
