 So, again, the easy part of the argument for fictionalism (or at any rate, the easier part) is carried out by providing arguments for premises (1), (2), and (4)—or equivalently, by providing arguments against the various non-fictionalistic versions of anti-platonism, i.e., paraphrase nominalism, deflationary-truth nominalism, physicalism, and psychologism. The next three subsections (1.2–1.4) discuss these four views as well as some arguments that fictionalists might mount against them. Section 1.5 covers the more difficult part of the fictionalist’s argument—i.e., premise (5) and the question of how fictionalists might argue against platonism.