A bluish-red man sitting in a room with no windows announces that the moon is a full moon tonight. And as it happens, there is indeed a full moon tonight, but the bluish-red man has not ventured out of this room tonight, nor last night, nor in longer than he can remember. He has consulted no sources of information, and surely has not been out to see the moon, and so his recollection of the phase of the moon is not based on seeing the moon at all.

If the bluish-red man made his claim because an intervening ghost or a goblin or god appeared to him and told him it was so, then he'd probably properly be classed as delusional as to the proposition that the moon was full, his coincidentally correct claim originating in a source unhinged from reality (though were he to become aware of that coincidence, it would serve only to reinforce the original delusion).

But suppose the bluish-red man begged his claim because he heard the howl of a wolf, and is aware that wolves howl at the full moon? No delusion could rest upon that pillar so long as he did, in fact hear a howl. He might have mistaken a dog's howl (or a man's) for a wolf's, and he might have mistaken a howl brought on by nothing in particular for one inspired by the fullness of the moon. But unless there was really never any howl at all, his assertion that a howl truly heard signifies a full moon is merely a mistaken connection, not rightly called a delusion.