man asks for coffee without milk that implies the existence of coffee with milk. however the cafe is all out of milk - but they do have cream! would the customer perchance like some coffee without cream instead?
Let's say Jane is throwing a party for friends and intentionally didn't invite her friend Joe. Or she could have simply not have held the party at all.
In either case, Joe is not attending the party, but in one scenario Joe might feel left out, insulted, etc.
