Logic diagrams have been increasingly studied and applied for a few decades, not only in logic, but also in many other fields of science. The history of logic diagrams is an important subject, as many current systems and applications of logic diagrams are based on historical predecessors. While traditional histories of logic diagrams cite pioneers such as Leibniz, Euler, Venn, and Peirce, it is not widely known that Kant and the early Kantians in Germany and England played a crucial role (...) in popularising Euler(-type) diagrams. In this paper, the role of the Kantians in the late eighteenth and early nineteenth centuries will be analysed in more detail. It shows that diagrams (or intuition in general) were a highly contentious topic that depend on the philosophical attitude and went beyond logic to touch on issues of physics, metaphysics, linguistics and, above all, mathematics. (shrink)

For Kant, philosophical investigations are inherently analytic. The proper method of philosophy is analysis, and the object of analysis are concepts. Hence, Kant’s short description of philosophy as “rational cognition […] from concepts” (KrV, A 837/B 865) can be substituted by “philosophy is conceptual analysis”. The article shows that Kant follows a representationalism about concepts and a combination of intensional and extensional feature semantics. Against the claim that Kant is a proponent of the concept-judgement-inversion, it is argued that concepts are (...) being articulated in form of singular terms, propositions, and sets of propositions alike. Kant interlinks different kinds of concepts with different kinds of definitions, as the reconstruction of his theory of definitions reveals. Philosophy foremost deals with what Kant calls “given” empirical and pure concepts. Such concepts are object of analysis, i.e., explication and exposition. The article ends with answers to five possible objections. Is philosophy all about analysis? (shrink)

Philosophers of logic are particularly interested in understanding the aims, epistemology, and methodology of logic. This raises the question of how the philosophy of logic should go about these enquires. According to the practice-based approach, the most reliable method we have to investigate the methodology and epistemology of a research field is by considering in detail the activities of its practitioners. This holds just as true for logic as it does for the recognised empirical and abstract sciences. If we wish (...) to systematically understand the aims and epistemology of logic, we are best placed achieving this by looking at what logicians do, rather than reflecting upon the nature of logic itself. In this entry, we outline the motivations for a practice-based approach towards the philosophy of logic and highlight its advantages over more “top-down” approaches, which attempt to infer conclusions about the nature of logic and its methodology on the basis of traditional assumptions about knowledge, metaphysics, or logic itself. We end by addressing several prominent concerns raised against the practice-based approach. (shrink)

Kant typically is not identified with the tradition of virtue epistemology. Although he may not be a virtue epistemologist in a strict sense, I suggest that intellectual virtues and vices play a key role in his epistemology. Specifically, Kant identifies a serious intellectual vice that threatens to undermine reason, namely enthusiasm (Schwärmerei). Enthusiasts become so enamored with their own thinking that they refuse to subject reason to self-critique. The particular danger of enthusiasm is that reason colludes in its own destruction: (...) enthusiasm occurs when self-conceit and reason’s desire to transcend its boundaries mutually reinforce each other. I conclude by sketching an account of Kantian intellectual virtue that is consistent with Kantian moral virtue. (shrink)

In the Transcendental Dialectic, Kant searched for a universal concept of reason different from the understanding and offered the short formula “the faculty of principles”. I will argue that this is only one and not the most pertinent and general mark of the concept of reason. There are more compelling short expressions in Kant’s Reflexionen, the third Critique and/or in the reception of Kant’s works: “the faculty of ideas” or reason in the narrower sense. The latter narrows down the logical (...) sphere of the concept of rational faculties, and the former contains reason’s most basic mark: ideas. The first part of this article will focus on preliminary remarks on Kant’s philosophical methodology and conceptual analysis. The second part will analyze the division of the logical sphere of the concept of reason by nine necessary and coherent marks. These marks are centered around the concept of ideas, which allows for an ideas-first understanding of reason and preference for the formulas the faculty of ideas and reason in the narrower sense. The article will end with an “imperfect definition” of reason based on those nine marks. (shrink)

To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they are founded on only (...) one prominent statement by Kant. I will argue, however, that this statement takes on a very different meaning in a broader context of the history and philosophy of science, and that Kant and his supporters never advocated the logical monism that they are still said to hold today. (shrink)

For Kant, the human cognitive faculty has two sub-faculties: sensibility and the understanding. Each has pure forms which are necessary to us as humans: space and time for sensibility; the categories for the understanding. But Kant is careful to leave open the possibility of there being creatures like us, with both sensibility and understanding, who nevertheless have different pure forms of sensibility. They would be finite rational beings and discursive cognizers. But they would not be human. And this raises a (...) question about the pure forms of the understanding. Does Kant leave open the possibility of discursive cognizers who have different categories? Even if other discursive cognizers might not sense like us, must they at least think like us? We argue that textual and systematic considerations do not determine the answers to these questions and examine whether Kant thinks that the issue cannot be decided. Consideration of his wider views on the nature and limits of our knowledge of mind shows that Kant could indeed remain neutral on the issue but that the exact form his neutrality can take is subject to unexpected constraints. The result would be an important difference between what Kant says about discursive cognizers with other forms of sensibility and what he is in a position to say about discursive cognizers with other forms of understanding. Kantian humility here takes on a distinctive character. (shrink)

While there are good reasons to think that Hegel would not engage with modern scepticism in the Science of Logic, this article argues that he nevertheless does so in a way that informs the text's conception of logic as the latter pertains to metaphysics. Hegel engages with modern scepticism's general concerns that philosophy should begin without unexamined presuppositions and should come to attain not only knowledge of truth, but corresponding second-order knowledge: knowledge of knowing truth. These concerns inform two needs (...) that Hegel formulates for first philosophy, which logic—by unifying with metaphysics, which is traditionally synonymous with first philosophy—is to satisfy. However, logic, for the Logic, is unified with metaphysics as a science of absolute knowing, the form of thinking involved in traditional metaphysics. As such, logic, for the Logic, is neither anti-metaphysical nor reducible to metaphysics, but is rather a science of metaphysical thinking, which, for Hegel, includes metaphysics. The article emphasizes how Hegel's construal of logic as a science of absolute knowing avoids running into the ‘swimming problem’ that Hegel raises against, broadly, epistemological forms of first philosophy. (shrink)