Neologicism (NL) invokes a “syntactic-priority thesis” (SPT) to derive existence of numbers, etc., from abstraction principles. Innumerable counterexamples to the SPT, however, are seen to arise from fiction, e.g., “Pegasus is (entirely) fictive”. Examination of possible defenses of the SPT leads to just one viable option, based on quasi-modal “in-fiction” operators. This, however, applies just as well to abstraction principles themselves, thereby undermining NL’s case for countenancing mathematical abstracta. Appeal to the linguistics principle of compositionality is seen not to help NL.

中文翻译：

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新逻辑主义遇上虚构


新逻辑主义 （NL） 援引“句法优先论”（SPT） 从抽象原则中推导出数字等的存在。然而，无数反对 SPT 的反例都来自小说，例如，“Pegasus 是（完全）虚构的”。对 SPT 可能的防御措施的检查导致只有一个可行的选择，基于准模态 “in-fiction” 运算符。然而，这同样适用于抽象原则本身，从而削弱了 NL 支持数学抽象的理由。诉诸组合性的语言学原则被认为对 NL 没有帮助。