The most appropriate antonym for the word CESSATION is Perpetuation.
Analysis of Options
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Intermission: A pause or break; a temporary stopping. This is more of a synonym for a temporary cessation, not an antonym.
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Hindrance: A thing that provides resistance, delay, or obstruction to something or someone. This is unrelated in meaning.
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Exaggeration: A statement that represents something as better or worse than it really is. This is unrelated in meaning.
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Perpetuation: The act of making something continue indefinitely. This is the direct opposite of an ending or stopping (cessation).