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In order to account for consciousness in terms of representational content, how FUNKY does the content need to be? Along the way we discuss the representation of inexistents and whether mathematical structuralism can shed light on the conceivability of undetectable qualia inversions. Is there any real difference (as opposed to a merely notational difference) between the square root of negative one and the negative square root of negative one? If so, what would that tell us about the question of whether intersubjectively undetectable qualia inversions are conceivable?