The concept of antonyms, also known as opposites, is a fundamental part of language. When we want to express the opposite of a particular word, we use an antonym. The antonym of "having significance for" can be "irrelevant," "negligible," or "insignificant." These words refer to situations where something is of little or no importance or value. For example, if someone says "this information is irrelevant," it means that the information does not matter or have any significance. Similarly, if someone says "the impact of this decision is negligible," it implies the decision will not create any major change. Thus, antonyms are an essential tool for expressing the opposite of a word and providing clarity to communication.