Nietzche was a structuralist or existensialist?

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...how can Nietzche be an inspiration to two so different beliefs?

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Nietzsche was almost pathologically fond of word play, paradoxes, and exoteric/esoteric double meaning. This, combined with his aphoristic method, makes it very easy to take him out of context and distort his meaning.

I'm not familiar with structuralism so beyond that I can't say.