The phrase "six of half dozen of the other" is an idiom that is commonly used when two things are considered to be essentially the same. It is often used to indicate that the choice between two options is irrelevant because the outcome will be the same either way. Some synonyms for this phrase include "six and one-half dozen of the other", "different in name only", "six and one", "the same difference", "no difference", and "equally good or bad". These phrases all share the idea that two things are so similar that any choice between them does not matter.