Sam Baron

We defend two claims: (1) if one is attracted to a strong non-maximalist view about truthmaking, then it is natural to construe this as the view that there exist fundamental truths; (2) despite considerable aversion to fundamental truths, there is as yet no viable independent argument against them. That is, there is no argument against the existence of fundamental truths that is independent of any more specific arguments against the ontology accepted by the strong non-maximalist. Thus there is no argument that the strong non-maximalist herself will find dialectically motivating.

Presentism faces a familiar objection from truthmaker theory. How can propositions about the past be made true if past entities do not exist? In answering this question, there are, broadly, two roads open to the presentist. The easy road to presentism proceeds by capitulating to the demands imposed by truthmaker theory and finding truthmakers for claims about the past. This road typically involves the invocation of controversial metaphysical posits that must then be defended. The hard road to presentism resists the demands of truthmaker theory by denying that all truths must be truth-made. The road is hard as it requires providing a principled restriction on the scope of truthmaker theory. In this paper, I argue that the hard road collapses back into the easy road; there is no hard road to presentism.

Enhanced indispensability arguments seek to establish realism about mathematics based on the explanatory role that mathematics plays in science. Idealizations pose a problem for such arguments. Idealizations, in a similar way to mathematics, boost the explanatory credentials of our best scientific theories. And yet, idealizations are not the sorts of things that are supposed to attract a realist attitude. I argue that the explanatory symmetry between idealizations and mathematics can potentially be broken as follows: although idealizations contribute to the explanatory power of our best theories, they do not carry the explanatory load. It is at least open however that mathematics is load-carrying. To give this idea substance, I offer an analysis of what it is to carry the explanatory load in terms of difference-making and counterfactuals