How do we hold contradictory beliefs at the same time?

Alex Worsnip in Aeon:

…incoherence can hold between mental states of various types: for example, between beliefs, preferences, intentions, or mixtures of more than one of these types. In all cases, though, it’s crucial that the defect is in the combination of states, not necessarily in any of them taken individually. There’s nothing wrong with preferring chocolate ice cream to vanilla, or preferring vanilla to strawberry, or preferring strawberry to chocolate; but there is something very strange about having all of these preferences together.

More here.