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  • There is no paradox. 

    The growth happens on a delay and for a fixed amount of growth. 

    He's either telling the truth and it doesn't grow further. Or he's lying and it grows a fixed amount after the lie is finished being spoken.

    To create a paradox he'd have to say "My nose is going to grow after this statement." 

    And still his head wouldn't explode. It'd just not grow. And everyone would understand it's a paradox.

    Also, as another said, predictions aren't lies.Â