Abstract Wolff advocates the mathematical method, which consists in chains of syllogisms that proceed from axioms and definitions to theorems, for achieving scientific certainty in branches of philosophy like ontology and physics. By contrast, in ‘The Discipline of Pure Reason in its Dogmatic Use’ Kant significantly limits the efficacy of this method in philosophy. In this paper I investigate an under-examined result of the Discipline: Kant’s claim that his system of philosophy does not contain “dogmata”. By identifying “dogmata” in Wolff’s system of physics, I argue that, for Kant, they are propositions that uncritically deploy ideas of reason. I conclude that the Discipline extends criticisms raised in the Transcendental Dialectic to any erroneous use of the mathematical method in philosophy.

中文翻译：

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沃尔夫和康德的数学方法

摘要Wolff提倡一种数学方法，该方法包含从公理和定义到定理的三段论链，以实现诸如本体论和物理学之类的哲学分支的科学确定性。相比之下，康德在“教条使用中的纯理性学科”中极大地限制了这种方法在哲学上的功效。在本文中，我研究了一个未得到严格审查的学科：康德的主张，即他的哲学体系不包含“教条”。通过确定沃尔夫物理学系统中的“教条”，我认为对于康德来说，它们是不加批判地部署理性观念的命题。我得出的结论是，该学科将先验辩证法中提出的批评扩大到哲学中数学方法的任何错误使用。