Varieties of Reflection in Kant's Logic

For Kant, ‘reflection’ (Überlegung, Reflexion) is a technical term with a range of senses. I focus here on the senses of reflection that come to light in Kant's account of logic, and then bring the results to bear on the distinction between ‘logical’ and ‘transcendental’ reflection that surfaces in the Amphiboly chapter of the Critique of Pure Reason. Although recent commentary has followed similar cues, I suggest that it labours under a blind spot, as it neglects Kant's distinction between ‘pure’ and ‘applied’ general logic. The foundational text of existing interpretations is a passage in Logik Jäsche that appears to attribute to Kant the view that reflection is a mental operation involved in the generation of concepts from non-conceptual materials. I argue against the received view by attending to Kant's division between ‘pure’ and ‘applied’ general logic, identifying senses of reflection proper to each, and showing that none accords well with the received view. Finally, to take account of Kant's notion of transcendental reflection I show that we need to be attentive to the concerns of applied logic and how they inform the domain-relative transcendental logic that Kant presents in the first Critique.     

How critical is “critical thinking”?

Before criticism is justified, an account of the applicable criteria should be given. This task concerns first of all the well-known logical principles of identity, contradiction and the excluded middle. They connect critical thinking to the conceptual element of rationality and to the normed nature of logical thinking, manifest in logically sound (norm-conformative) thinking and antinormative thinking—briefly also accounting for the dialectical tradition. An analysis of these principles requires an understanding of the uniqueness of, and coherence between, the logical and non-logical aspects in the light of contraries like logical-illogical, polite-impolite and frugal-wasteful. It also questions the idea of autonomy and examines the switch from principles to values. When a school of thought does not accept all the logical principles, the criteria for scientific thinking are challenged, for example in intuitionistic logic which rejects the universal validity of the principle of the excluded middle. It is then argued that the principle of sufficient reason and that of the excluded antinomy points at a more than logical foundation for critical thinking and ultimately calls for a non-reductionist ontology.     

Rethinking the Priority of Practical Reason in Kant

Throughout the critical period Kant enigmatically insists that reason is a ‘unity’, thereby suggesting that both our theoretical and practical endeavors are grounded in one and the same rational capacity. How Kant's unity thesis ought to be interpreted and whether it can be substantiated remain sources of controversy in the literature. According to the strong reading of this claim, reason is a ‘unity’ because all our reasoning, including our theoretical reasoning, functions practically. Although several prominent commentators endorse this view, it is widely thought to lack exegetical support. This paper seeks to strengthen the case for this reading by showing how theoretical reason's positive function, as Kant presents it in the Appendix to the Transcendental Dialectic, may be construed as fundamentally practical. I argue that reason's supreme regulative principle ought to be understood as a categorical practical imperative. This interpretation, I suggest, resolves the apparent inconsistencies that blight Kant's account of the principle in the Appendix, while bringing greater overall coherence to his account of theoretical reason's regulative function.     

Frege on Truth,Assertoric Force and the Essence of Logic

In a posthumous text written in 1915, Frege makes some puzzling remarks about the essence of logic, arguing that the essence of logic is indicated, properly speaking, not by the word ‘true’, but by the assertoric force. William Taschek has recently shown that these remarks, which have received only little attention, are very important for understanding Frege's conception of logic. On Taschek's reconstruction, Frege characterizes logic in terms of assertoric force in order to stress the normative role that the logical laws play vis-à-vis judgement, assertion and inference. My aim in this paper is to develop and defend an alternative reconstruction according to which Frege stresses that logic is not only concerned with ‘how thoughts follow from other thoughts’, but also with the ‘step from thought to truth-value’. Frege considers logic as a branch of the theory of justification. To justify a conclusion by means of a logical inference, the ‘step from thought to truth-value’ must be taken, that is, the premises must be asserted as true. It is for this reason that, in the final analysis, the assertoric force indicates the essence of logic, for Frege.     

Kant,Reichenbach, and the Fate of A Priori Principles

Abstract: This article contends that the relation of early logical empiricism to Kant was more complex than is often assumed. It argues that Reichenbach's early work on Kant and Einstein, entitled The Theory of Relativity and A Priori Knowledge (1920) aimed to transform rather than to oppose Kant's Critique of Pure Reason. One the one hand, I argue that Reichenbach's conception of coordinating principles, derived from Kant's conception of synthetic a priori principles, offers a valuable way of accounting for the historicity of scientific paradigms. On the other hand, I show that even Reichenbach, in line with Neo‐Kantianism, associated Kant's view of synthetic a priori principles too closely with Newtonian physics and, consequently, overestimated the difference between Kant's philosophy and his own. This is even more so, I point out, in the retrospective account logical empiricism presented of its own history. Whereas contemporary reconstructions of this history, including Michael Friedman's, tend to endorse this account, I offer an interpretation of Kant's conception of a priori principles that contrasts with the one put forward by both Neo‐Kantianism and logical empiricism. On this basis, I re‐examine the early Reichenbach's effort to accommodate these principles to the paradigm forged by Einstein.     

GARRETT ON THE THEOLOGICAL OBJECTION TO HUME'S COMPATIBILISM

Between 1927 and 1936, Martin Heidegger devoted almost one thousand pages of close textual commentary to the philosophy of Immanuel Kant. This article aims to shed new light on the relationship between Kant and Heidegger by providing a fresh analysis of two central texts: Heidegger's 1927/8 lecture course Phenomenological Interpretation of Kant's Critique of Pure Reason and his 1929 monograph Kant and the Problem of Metaphysics. I argue that to make sense of Heidegger's reading of Kant, one must resolve two questions. First, how does Heidegger's Kant understand the concept of the transcendental? Second, what role does the concept of a horizon play in Heidegger's reconstruction of the Critique? I answer the first question by drawing on Cassam's model of a self-directed transcendental argument (‘The role of the transcendental within Heidegger's Kant’), and the second by examining the relationship between Kant's doctrine that ‘pure, general logic’ abstracts from all semantic content and Hume's attack on metaphysics (‘The role of the horizon within Heidegger's Kant’). I close by sketching the implications of my results for Heidegger's own thought (‘From Heidegger's Kant to Sein und Zeit’). Ultimately, I conclude that Heidegger's commentary on the Critical system is defined, above all, by a single issue: the nature of the ‘form’ of intentionality.     

Intuition and Nature in Kant and Goethe

Abstract: This essay addresses three specific moments in the history of the role played by intuition in Kant's system. Part one develops Kant's attitude toward intuition in order to understand how ‘sensible intuition’ becomes the first step in his development of transcendental idealism and how this in turn requires him to reject the possibility of an ‘intellectual intuition’ for human cognition. Part two considers the role of Jacobi when it came to interpreting both Kant's epistemic achievement and what were taken to be the outstanding problems of freedom's relation to nature; problems interpreted to be resolvable only via an appeal to ‘intellectual intuition’. Part three begins with Kant's subsequent return to the question of freedom and nature in his Critique of Judgment. With Goethe's contemporaneous Metamorphoses of Plants as a contrast case, it becomes clear that whereas Goethe can embrace the role of an intuitive understanding in his account of nature and within the logic of polarity in particular, Kant could never allow an intuition of nature that in his system would spell the very impossibility of freedom itself.     

To Have and to Hold: Intelligible Possession and Kant's Idealism

While the debate about whether Kant's idealism requires a ‘Two Worlds’ or ‘Two Aspect’ interpretation has reached a seeming impasse, I argue that the account of intelligible possession found in the ‘Doctrine of Right’ provides novel and compelling evidence in favour of an epistemic ‘Two Aspect’ reading of Kant's position.     

Aristotle's Prior Analytics and Boole's Laws of Thought

Prior Analytics by the Greek philosopher Aristotle (384?–?322 BCE) and Laws of Thought by the English mathematician George Boole (1815?–?1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle's system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not discuss many other historically and philosophically important aspects of Boole's book, e.g. his confused attempt to apply differential calculus to logic, his misguided effort to make his system of ‘class logic’ serve as a kind of ‘truth-functional logic’, his now almost forgotten foray into probability theory, or his blindness to the fact that a truth-functional combination of equations that follows from a given truth-functional combination of equations need not follow truth-functionally. One of the main conclusions is that Boole's contribution widened logic and changed its nature to such an extent that he fully deserves to share with Aristotle the status of being a founding figure in logic. By setting forth in clear and systematic fashion the basic methods for establishing validity and for establishing invalidity, Aristotle became the founder of logic as formal epistemology. By making the first unmistakable steps toward opening logic to the study of ‘laws of thought’—tautologies and laws such as excluded middle and non-contradiction—Boole became the founder of logic as formal ontology.

… using mathematical methods … has led to more knowledge about logic in one century than had been obtained from the death of Aristotle up to … when Boole's masterpiece was published.     

Formality of logic and Frege’s Begriffsschrift

This paper challenges a standard interpretation according to which Frege’s conception of logic (early and late) is at odds with the contemporary one, because on the latter’s view logic is formal, while on Frege’s view it is not, given that logic’s subject matter is reality’s most general features. I argue that Frege – in Begriffsschrift – retained the idea that logic is formal; Frege sees logic as providing the ‘logical cement’ that ties up together the contentful concepts of specific sciences, not the most general truths. Finally, I discuss how Frege conceives of the application of Begriffsschrift, and of its status as a ‘lingua characteristica’.     

Kant on space,time, and respect for the moral law as analogous formal elements of sensibility

To advance a successful reading of Kant's theory of motivation, his interpreter must have a carefully developed position on the relation between our rational and sensible capacities of mind. Unfortunately, many of Kant's commentators hold an untenably dualistic conception, understanding reason and sensibility to be necessarily conflicting aspects of human nature that saddle Kant with a rigoristic and fundamentally divided moral psychology. Against these interpreters, I argue for a reading that maintains a unified conception, claiming that we must think of reason and sensibility as interdependent capacities, which stand to one another as form to matter. Our sensible nature thus does not stand opposed to reason; its fundamental character is determined by reason's activity. I take Kant's account of moral motivation and the feeling of respect to represent the lynchpin of this unified account. Against interpreters who would emphasize either the intellectual or affective nature of respect, I claim that it should be understood as the formal element of moral sensibility, the result of practical reason determining the capacity to feel and fundamentally transforming its character. To make this argument, I draw on Kant's account of sensibility in the Critique of Pure Reason, claiming that space, time, and respect for the moral law are analogous formal elements of sensibility.     

From Kant to Sade: a fragment of the history of philosophy in the Dialectic of Enlightenment

In this paper, I set out (1) to consider the extent to which Horkheimer and Adorno's account of the transition from Kant's philosophy to key features of the novels of the Marquis de Sade in the Second Excursus of their Dialectic of Enlightenment can be viewed as a fragment of the ‘history of philosophy’ and (2) to explain this account in a way that allows us to ask whether it succeeds in establishing a necessary connection between Kant's philosophy and Sade's novels. In connection with (2), a particular problem emerges. This problem concerns the role played by a non-instrumental form of reason in Horkheimer and Adorno's attempt to establish an essential connection between Kant's theoretical philosophy and Sade's novels, in which the practical implications of the theoretical employment of reason allegedly become explicit. It will be shown that, despite appearances to the contrary, an employment of reason of the relevant type is not identified by Kant in the Critique of Pure Reason.     

A Logical Transmission Principle for Conclusive Reasons

Dretske's conclusive reasons account of knowledge is designed to explain how epistemic closure can fail when the evidence for a belief does not transmit to some of that belief's logical consequences. Critics of Dretske dispute the argument against closure while joining Dretske in writing off transmission. This paper shows that, in the most widely accepted system for counterfactual logic (David Lewis's system VC), conclusive reasons are governed by an informative, non-trivial, logical transmission principle. If r is a conclusive reason for believing p in Dretske's sense, and if p logically implies q, and if p and q satisfy one additional condition, it follows that r is a conclusive reason for believing q. After introducing this additional condition, I explain its intuitive import and use the condition to shed new light on Dretske's response to scepticism, as well as on his distinction between the so-called ‘lightweight’ and ‘heavyweight’ implications of a piece of perceptual knowledge.     

Laws of language use and formal logic

After a review of recent work connected with Grice's maxims of conversation, special attention is paid to the principles related to the concept of informativeness. The operation of those principles constrains logic by limiting the meaning of logical particles and, more importantly, by contradicting axioms and many theorems of the propositional calculus. It is argued that, as the development of the individual's formal operations proceeds, a conflict with laws of language use arises. The notion of a conflict between two subsystems, logical and linguistic, is used in a developmental perspective to account, in a unified manner, for the observed discrepancy between subjects' behavior in deductive and inductive reasoning tasks and predictions based on formal logic.     

From the clarity of ideas to the validity of judgments: Kant's farewell to epistemic perfectionism

Against the standard interpretation of Kant's ‘Copernican revolution’ as the prioritization of epistemology over ontology, I argue in this paper that his critique of traditional metaphysics must be seen as a farewell to the perfectionism on which early modern rationalist ontology and epistemology are built. However, Kant does not simply replace ‘perfection’ with another fundamental concept of normativity. More radically, Kant realizes that it is not simply ideas but only the relation of ideas that can be subject to norms, and thus he shifts the focus from the reality of ideas to the validity of judgments. Section 1 of this paper clarifies the pre-Kantian role of the concept of perfection and examines Kant's critical response to that concept. Section 2 identifies Kant's point of departure from the Cartesian ‘way of ideas.’ Section 3 explains the key problem of his novel account of epistemic normativity. I conclude that Kant's anti-perfectionism must be seen as the driving force behind his ‘Copernican revolution’ in order to fully appreciate his mature account of epistemic normativity.     

Kant on Complete Determination and Infinite Judgement

In the Transcendental Ideal Kant discusses the principle of complete determination: for every object and every predicate A, the object is either determinately A or not-A. He claims this principle is synthetic, but it appears to follow from the principle of excluded middle, which is analytic. He also makes a puzzling claim in support of its syntheticity: that it represents individual objects as deriving their possibility from the whole of possibility. This raises a puzzle about why Kant regarded it as synthetic, and what his explanatory claim means. I argue that the principle of complete determination does not follow from the principle of excluded middle because the externally negated or ‘negative’ judgement ‘Not (S is P)’ does not entail the internally negated or ‘infinite’ judgement ‘S is not-P.’ Kant's puzzling explanatory claim means that empirical objects are determined by the content of the totality of experience. This entails that empirical objects are completely determinate if and only if the totality of experience has a completely determinate content. I argue that it is not a priori whether experience has such a completely determinate content and thus not analytic that objects obey the principle of complete determination.