What does the idiom at loggerheads mean?

The example given illustrates a scenario where the party is in stark disagreement with the president concerning public spending. This disagreement is so intense that it has created a rift between the two entities.

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Arguing and disagreeing are integral parts of such disputes. They represent the back-and-forth of ideas and perspectives, each party striving to make their voice heard and their stance understood.

Another idiomatic expression that encapsulates this concept is "a bone of contention." This phrase refers to a subject of persistent disagreement or debate, often something that continually irritates or divides people.

Being at loggerheads with someone signifies a profound and persistent disagreement. This phrase vividly captures the essence of a contentious standoff, where two parties are locked in a fierce debate.