Not a dream of his, child.
In all seriousness, I'm pretty sure the way he decided to think about giving up his child was to tell himself that it's his ex-wife's child, therefore if she wants to be a bitch then she can deal with HER child.
I bet that every time funsters needle him about Annabelle, he tells himself she's not his child, therefore the criticism doesn't apply.
Basically, he's a corpulent, remorseless liar of ever-increasing girth.