{'fraction_non_alphanumeric': 0.023133543638275498, 'fraction_numerical': 0.0, 'mean_word_length': 5.898550724637682, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Metaontology, Existence, and Reference

This chapter presents and defends a conventionalist-friendly metaontology, thereby showing how conventionalism manages to vindicate trivial ontological realism in mathematics. After clarifying and demonstrating this entailment of conventionalism, it clarifies the metaontology involved. The chapter then defends metadeflationism about quantifiers, which entails a version of quantifier pluralism. This is a form of what has recently been called “modest quantifier variance” in joint work with Eli Hirsch. After laying out this view, it is defended from several objections. With this groundwork set out, the chapter then explains how this answers Kant’s challenge for trivial realism that was explained in the previous chapter. Finally, the chapter closes by discussing the metaphysics of mathematical objects, in conventionalist terms, addressing the Julius Caesar problem and structuralism, among other things.