Nominalism is the view that, despite appearances, there are no mathematical entities. The ways that nominalism is both compatible with there being mathematical truths and falsehoods, and compatible with mathematical truths being valuable in scientific applications are explored in this paper. Some of the purely psychological reasons for why nominalism is so hard to believe in will also be discussed.
Azzouni, J. (2015). Nominalism, the nonexistence of mathematical objects. In Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics (pp. 133–145). Springer International Publishing. https://doi.org/10.1007/978-3-319-21473-3_7