Adding quantities is cumulative of quantities. Nothing else happens. But adding real objects to one another in actual space can give rise to unexpected results, including new entities. If identifiable, the new things must be countable. Where a whole is more than the sum of its parts, we can therefore count by how much. But, on another ledger, the emergent entities can have different values, sometimes negative. Exploring both forms of addition can build bridges between the mind-sets they represent.