Salutator comments on The "Intuitions" Behind "Utilitarianism" - Less Wrong
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So what exactly do you multiply when you shut up and multiply? Can it be anything else then a function of the consequences? Because if it is a function of the consequences, you do believe or at least act as if believing your #4.
In which case I still want an answer to my previously raised and unanswered point: As Arrow demonstrated a contradiction-free aggregate utility function derived from different individual utility functions is not possible. So either you need to impose uniform utility functions or your "normalization" of intuition leads to a logical contradiction - which is simple, because it is math.