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Husserl, Model Theory, and Formal Essences
Husserl Studies Pub Date : 2020-10-09 , DOI: 10.1007/s10743-020-09281-8
Kyle Banick

Husserl’s philosophy of mathematics, his metatheory, and his transcendental phenomenology have a sophisticated and systematic interrelation that remains relevant for questions of ontology today. It is well established that Husserl anticipated many aspects of model theory. I focus on this aspect of Husserl’s philosophy in order to argue that Thomasson’s recent pleonastic reconstruction of Husserl’s approach to essences is incompatible with Husserl’s philosophy as a whole. According to the pleonastic approach, Husserl can appeal to essences in the absence of a positive metaphysical account of their nature. I show, using central results from recent model theory, that the pleonastic approach undermines Husserl’s approach to formalization and categoricity, an effect that will ripple out from Husserl’s philosophy of mathematics into Husserl’s metatheory and transcendental phenomenology. The result is that Husserl cannot appeal to formal essences without metaphysical commitments. However, the very observations Thomasson makes about the nature of eidetic intuition in Husserl lead to a general strategy for responding to the problem. The article thus illustrates that the pleonastic and the model-theoretic routes for making Husserl relevant to present-day ontology are competing approaches, but I conclude that Husserl scholars seeking to set Husserl’s present-day relevance into sharp relief could do worse than to emphasize the model-theoretic nature of Husserl’s enterprise.

中文翻译:

胡塞尔、模型理论和形式本质

胡塞尔的数学哲学、他的元理论和他的先验现象学具有复杂和系统的相互关系,这些关系今天仍然与本体论问题相关。众所周知,胡塞尔预见了模型理论的许多方面。我关注胡塞尔哲学的这一方面,以论证托马森最近对胡塞尔本质方法的复杂重建与胡塞尔哲学的整体不相容。根据pleonastic方法,胡塞尔可以在缺乏对本质的积极形而上学解释的情况下诉诸本质。我使用最近模型理论的核心结果表明,pleonastic 方法破坏了胡塞尔的形式化和范畴化方法,这种影响将从胡塞尔的数学哲学波及胡塞尔的元理论和先验现象学。结果是,如果没有形而上学的承诺,胡塞尔就无法诉诸形式本质。然而,托马森对胡塞尔的本质直觉的性质所做的观察,导致了应对问题的一般策略。因此,这篇文章说明了使胡塞尔与当今本体论相关的复杂性和模型论路线是相互竞争的方法,但我得出的结论是,胡塞尔学者试图将胡塞尔与当今的相关性置于尖锐的浮雕之中,可能比强调胡塞尔事业的模型理论性质。然而,托马森对胡塞尔的本质直觉的性质所做的观察,导致了应对问题的一般策略。因此,这篇文章说明了使胡塞尔与当今本体论相关的复杂性和模型论路线是相互竞争的方法,但我得出的结论是,胡塞尔学者试图将胡塞尔与当今的相关性置于尖锐的浮雕之中,可能比强调胡塞尔事业的模型理论性质。然而,托马森对胡塞尔的本质直觉的性质所做的观察,导致了一个应对问题的一般策略。因此,这篇文章说明了使胡塞尔与当今本体论相关的复杂性和模型论路线是相互竞争的方法,但我得出的结论是,胡塞尔学者试图将胡塞尔与当今的相关性置于尖锐的浮雕之中,可能比强调胡塞尔事业的模型理论性质。
更新日期:2020-10-09
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