Wolff and Kant on the Mathematical Method

Kant Studien 110 (3):333-356 (2019)
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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.

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Citations of this work

Du Châtelet on Sufficient Reason and Empirical Explanation.Aaron Wells - 2021 - Southern Journal of Philosophy 59 (4):629-655.
Science and the Principle of Sufficient Reason: Du Châtelet contra Wolff.Aaron Wells - 2023 - Hopos: The Journal of the International Society for the History of Philosophy of Science 13 (1):24–53.
18th Century German Philosophy prior to Kant.Corey W. Dyck & Brigitte Sassen - forthcoming - Stanford Encyclopedia of Philosophy.
Induction and certainty in the physics of Wolff and Crusius.Hein van den Berg & Boris Demarest - 2024 - British Journal for the History of Philosophy 32 (5):1052-1073.
Kant-Bibliographie 2019.Margit Ruffing - 2021 - Kant Studien 112 (4):623-660.

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