I tried asking Claude variants where N was something other than a nonnegative integer, and he properly pointed out the absurdity, but was willing to play along once I brought up theoretical physics:
[...] So, in our quantum mechanics interpretation, how many sisters does Alice's brother have? It's a superposition of states:
1. In one state, he has Alice as his sister (+1) and the "antisister" (-1), totaling 0 sisters. If they met, they'd annihilate, leaving him sisterless!
2. In another state, he has Alice (+1) and owes a future sister to the quantum family field (-1). Currently, that's 0 sisters, but he's in "sister debt."
3. In a third state, he has Alice (+1), but his family's entanglement means another family's loss of a sister affects him too (-1). Bizarrely, he experiences both having and not having a sister simultaneously.
This interpretation is, of course, a playful and highly metaphorical application of quantum concepts to something they don't actually apply to—family relationships. In reality, quantum effects like superposition and entanglement are incredibly delicate. They typically only persist in highly controlled conditions, like ultra-cold atoms or isolated photons. The constant interactions in a family would "decohere" any such quantum states almost instantly.