"Six one half dozen of other" is a popular phrase that is often used to denote that two things are equal or that there is no significant difference between them. However, there are several other synonyms that can also be used in place of this phrase. These synonyms include "same difference," "it doesn't matter," "no distinction," "equally acceptable," "six of one, half-dozen of the other," and "tomato, tomahto." All of these phrases imply that there is no real difference between two things and that the outcome will be the same regardless of the choice made.