The article examines how Salomon Maimon’s concept of number as ratio can be used to demonstrate that arithmetical judgments are analytical. Based on his critique of Kant’s synthetic a priori judgments, I show how this notion of number fulfills Maimon’s requirements for apodictic knowledge. Moreover, I suggest that Maimon was influenced by mathematicians who previously defined number as a ratio, such as Wallis and Newton. Following an analysis of the real definition of this concept, I conclude that within the framework (...) of Maimon’s philosophy, arithmetical judgments cannot be analytical, nor is arithmetic an objectively necessary science, but rather only subjectively necessary. We should also cast doubt on his claim that we can create real objects from pure concepts of the understanding. (shrink)

The paper argues that Plessner’s theory of positionality can be traced back to Kant’s theory of predicabilia in the Critique of Pure Reason. Kant’s theory of predicabilia allows for the reformulation of Plessner’s distinction between the organic structure of the living body on the one hand and the positional unity of this living body on the other hand. This enables a concept of non-physical spatiality from which Plessner’s concept of the boundary can be derived. Therefore, Plessner’s theory of positionality competes (...) neither with Kant’s transcendental epistemology nor with his anthropology but rather extends his philosophy of science. Plessner develops the conceptual specifics of living beings, supplementing Kant’s concept of matter as the specific object of physics. (shrink)

In this essay, I provide a reconstruction of the history of and surrounding the bust of Kant, together with its plaque, which jointly compose the monument created in honor of the sage of Königsberg at the Faculty of Philosophy and Human Sciences (FAFICH) of the Federal University of Minas Gerais (UFMG) in Belo Horizonte, Brazil. In so doing, I have the following aims: first, to examine the relationship between the monument and the ideas that guided the creation of the Faculty (...) of Philosophy of Minas Gerais by one of its founders, Prof. Arthur Versiani Velloso; second, to highlight and register the authorship of this work by the plastic artist Frederico Bracher Júnior, as an important part of Kant’s international and indeed truly cosmopolitan iconography. (shrink)

The present article focuses on the antinomy of pure practical reason and the deduction of the Highest Good in the Dialectic of Pure Practical Reason (in the second Critique). Although Kant claims that the Dialectic contains both the antinomy and the deduction, the boundaries dividing one from the other are at best vague. It is difficult to make out where the antinomy of practical reason ends and where the deduction begins. To locate both and to distinguish one from the other (...) (with special attention paid to the modality of the Highest Good) are the chief aims of this article. Additionally but no less importantly, I show, against the line of criticism originally traceable to Schopenhauer, that the antinomy of practical reason amounts to more than a reflection of Kant’s “architectonic obsession.” Not only does the antinomy of practical reason correspond to a genuine dialectical problem in the Critique of Practical Reason, but it also shares a fundamental (even if not immediately apparent) similarity with the antinomy of pure speculative reason. Finally, I consider Kant’s transcendental deduction of the Highest Good against the backdrop of his other deductions, especially the deduction of the categories in the Critique of Pure Reason, and defend it against the charge of potential circularity. (shrink)

The aim of this paper is to analyze Dimitry Gawronsky’s doctrine of actual infinitesimals. I examine the peculiar connection that his critical idealism establishes between transcendental philosophy and mathematics. In particular, I reconstruct the relationship between Gawronsky’s differentials, Cantor’s transfinite numbers, Veronese’s trans-Archimedean numbers and Robinson’s hyperreal numbers. I argue that by means of his doctrine of actual infinitesimals, Gawronsky aims to provide an interpretation of calculus that eliminates any alleged given element in knowledge.