According to Kant, we gain mathematical knowledge by constructing objects in pure intuition. This is true not only of geometry but arithmetic and algebra as well. Construction has prominent place in scholarly accounts of Kant’s views of mathematics. But did Kant have a clear vision of what construction is? The paper argues that Kant employed two different, even conflicting models of construction, depending on the philosophical issue he was dealing with. In the equivalence model, Kant claims that the object constructed (...) in intuition is equivalent to the properties included in the conceptual rule. In the overstepping model of construction, Kant argues that construction goes beyond the concept which is a “mere definition”. What is more, both models of construction can be found in the Doctrine of Method in the first Critique. The paper examines reasons that have led Kant to adopt the two models of construction, and proposes a reading that alleviates the apparent contradiction between the two models. (shrink)

ABSTRACTThe Socratic fallacy is the supposed mistake of inferring that somebody does not know any instances or attributes of a universal because of their inability to give a satisfactory definition...

There is little doubt that Salomon Maimon was both highly respected by, and highly influential upon, his contemporaries; indeed, Kant himself referred to Maimon as the best of his critics. The appraisal and reformulation of the Kantian project detailed in Maimon’s Essay on Transcendental Philosophy played a significant role in determining the criteria of success for post-Kantian philosophy, and was thus crucial to the early development of German Idealism. Key aspects of Maimon’s transcendental philosophy remain, however, relatively obscure. In particular, (...) it remains unclear to what degree Maimon’s skepticism is internal to the Kantian framework, and how this skepticism is related to Maimon’s so-called dogmatic rationalism. The central aim of this project is to present Maimon’s as a distinct form of post-Kantian skepticism: one which poses significant problems for Kant’s theoretical project and which motivates a reformulation of the critical framework. In Kant’s eyes, pre-Kantian forms of skepticism are insufficiently critical insofar as they involve a commitment to transcendental realism. By contrast, I argue that Maimon’s skepticism does not involve a commitment to transcendental realism and that it strikes at the heart of Kant’s critical project insofar as it constitutes what I term ‘critical’ as opposed to merely ‘empirical’ skepticism. I further argue that Maimon’s rationalism provides the materials for a response to this form of skepticism. This thesis contributes to contemporary debates in the history of philosophy concerning the nature of Maimon’s coalition system and its relation to German Idealism, but also provides an alternative perspective on contemporary problems in the philosophy of perception concerning, in particular, the possibility of non-conceptual intentional content. (shrink)

This dissertation’s contribution consists in providing a novel interpretation of the role time plays in Kant’s transcendental idealism. A significant part of Kant scholarship on the Critiques tends to assume that time, as understood in transcendental philosophy, is solely a formal property of intuition. This assumption has led several commentators to overlook a fundamental feature of transcendental idealism, namely, that in being the most basic form of intuition time is, also, a provider of content in and for experience. In looking (...) attentively at such feature this dissertation shows that time is the activity of the self that grounds the possibility of objectivity and explores the philosophical implications of such an interpretation. In the first Chapter I conduct a comprehensive survey of relevant literature and show that it is impossible to separate general metaphysics from transcendental logic in the context of Kant’s transcendental philosophy without making serious philosophical sacrifices. I then argue, in the second Chapter, that time is not merely a formal property of intuition but is, rather, the fundamental form of intuition and that, even if space is in no way reducible to, or derivable from it, time has nonetheless primacy over space on both logical and ontological grounds. From this I argue that by time, or self-affection, Kant understands the activity of subjectivity that brings about the possibility of relating to objects through the power of imagination. In the third Chapter, I show that such relation is not left wholly undetermined and that, instead, it occurs in accordance with the layout presented by Kant in the Table of Judgments, the Table of Pure Concepts of the Understanding, the Schemata and, importantly, in the System of Principles of the Understanding. I show that only an interpretation that acknowledges the systematicity found in the Analytic section of the Critique of Pure Reason can justify the distinction drawn by Kant between the mathematical and the dynamical and conclude, from that, that time does indeed provide a specific content in and for experience to be found in the Schematism doctrine. Finally, in the fourth Chapter I broaden the philosophical scope and inquire as to whether Kant has the theoretical means to articulate something like an uncategorized schema or time-determination. I conclude that, although in the Critical period Kant can do so only problematically, in the post-Critical period there are means to do so categorically: system, as such, is a time-determination for which the understanding lacks a pure concept. (shrink)