The purpose of this paper is to consider the sociality of social robots with the focus on the notion of empathy. Social robots are designed to exploit various biological mechanisms that trigger anthropomorphizing reactions in humans and systems that seem capable of experiencing or feeling are being constructed. A question is whether empathic reactions by humans are justifiable from a conceptual and ethical point of view. I will mainly address the conceptual strand of this question and investigate whether empathy with robots is appropriate or misapplied relative to our current concept of empathy.