To know the relevance of something is to know why it matters or how it is important. I don't understand the relevance of this discussion: it doesn't seem important to me.

If you don't understand the relevance of the word "relevant" to the discussion of the meaning of the word relevance, we're gonna have some trouble. When something is "relevant," it matters. Its relevance is clear. Relevance is simply the noun form of the adjective "relevant," which means "important to the matter at hand." Artists and politicians are always worried about their relevance. If they are no longer relevant, they may not keep their job. Someone without relevance might be called "irrelevant."

Definitions of relevance
  1. noun
    the relation of something to the matter at hand
    synonyms: relevancy
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    irrelevance, irrelevancy
    the lack of a relation of something to the matter at hand
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    relevance requiring careful consideration
    persuasive relevance
    a style in speech or writing that arrests attention and has a penetrating or convincing quality or effect
    applicability, pertinence, pertinency
    relevance by virtue of being applicable to the matter at hand
    pertinence by virtue of a close relation to the matter at hand
    type of:
    connectedness, connection, connexion
    a relation between things or events (as in the case of one causing the other or sharing features with it)
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