Is moral judgement a mere product of Darwinian evolution, similar to sexual behaviour and social exchanges, or is it a specific human privilege, as is the case for complex languages and mathematics? The answer is that it is both. Moral behaviour is the consequence of social practices useful to the group that mankind inherited from animal ancestors and which human culture has transformed into a discursive, and genuinely human, philosophical construct. These two sides of moral judgement affect the way we feel about our own existence as animals and the way we treat animals.