I criticize the following three arguments for moral objectivism. 1. Since we assess moral statements, we can arrive at some moral truths (Thomson, 2006). 2. One culture can be closer to truths than another in moral matters because the former can be closer to truths than the latter in scientific matters (Pojman, 2008). 3. A moral judgment is shown to be true when it is backed up by reason (Rachels and Rachels, 2010). Finally, I construct a dilemma against the view that there are moral truths and we can move toward them.