There are several synonyms for the word "inseparableness." One such synonym is "indissolubility," which refers to a state of being impossible to separate or dissolve. Another synonym is "continuity," which refers to a state of being continuous or uninterrupted. Similarly, "permanence" also refers to a state of being enduring and unchanging. "Unbreakableness" is another synonym, which means that something or someone cannot be broken or separated. Finally, "unity" refers to the state of being united or joined together, and can be used as a synonym for inseparableness in certain contexts.