 Some paraphrase nominalists (e.g., Chihara 1990, 2004) maintain that it doesn't matter what we really mean, that paraphrase nominalists aren't committed to the thesis that their paraphrases capture the real ordinary-language meanings of our mathematical sentences. But this is false. If paraphrase nominalists admit that platonists are right about the ordinary-language meanings of mathematical sentences like ‘3 is prime’, then their view will collapse into a fictionalist view, according to which sentences like ‘3 is prime’ are not literally true. For since paraphrase nominalists don't believe in the existence of mathematical objects, if they admit that ordinary utterances of ‘3 is prime’ are best interpreted as being about mathematical objects, or purporting to be about such objects, then they will have to admit that such sentences are literally untrue, as fictionalists maintain. Thus, if the paraphrase nominalist view is going to be a genuine alternative to fictionalism, it has to involve the thesis that the paraphrases that nominalists are offering capture the real meanings of ordinary mathematical sentences.