1/2+1/2=2?

Darien had a package of cookies and he had eaten two of them and I asked him to wait until after dinner to eat the other two. He chose a different dessert after dinner so I suggested that Daddy could have his cookies. Darien replied that Daddy could have one of them and he wanted to save the last one. I suggested that he give Daddy two cookies and to this he replied that we could break the one he offered in half and then Daddy would have two!