The antonyms for the word "inter-section" are "non-intersection" and "disjunction." The term "non-intersection" refers to a scenario where two or more lines, roads, or paths do not meet. Such a scenario can occur when the lines or roads do not cross each other or when they cross at different points. On the other hand, the term "disjunction" refers to a situation where two or more things are disconnected or do not overlap. For example, in the context of sets, the term refers to a situation where the sets have no common elements. Overall, understanding antonyms for the word "intersection" is critical in communication, especially in situations where clarity is paramount.