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This question already has an answer here:

Is there a paradox that doesn't require self-reference and negation?

The set of all sets that do not contain themselves uses both, for example. Same with This sentence is false.

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marked as duplicate by Henning Makholm logic Mar 2 '16 at 12:09

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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The Yablo paradox is an example

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