Kant’s derivation of the table of categories from logical functions of judgments in the metaphysical deduction remains one of the least convincing arguments of the Critique of Pure Reason. This article presents an alternative approach to the question of the a priori origin of the table of categories. By circumventing the metaphysical deduction, I show the possibility of demonstrating the exact functions and necessity of the twelve categorial forms as emerging from the interaction of the synthetic (...) unity of apperception with the manifold content of the a priori intuition of space and time. I argue that this a priori material of cognition imposes a constraint on the spontaneity of understanding, thus giving rise to the specific rules of synthesis that make up the table of categories. On the reading I suggest, the table of categories can be understood as expressing the a priori form of self-consciousness in the face of space and time. (shrink)

Kant’s Metaphysical Deduction of the Categories justifies their apriority, i.e. that their contents originate in the understanding itself, while the Transcendental Deduction justifies their objectivity, both in that they purport to represent objects of experience and that they do so successfully. The apriority of the categories, as explained in terms of acts of synthesis required for having sensible intuitions of objects, is justified by establishing their generic identity with logical functions of judgment, i.e. acts of judgment required (...) for referring concepts to objects. The objective purport of the categories is justified by establishing that sensible intuitions fall under them. To finally justify that the categories represent successfully, i.e. that the objects of our intuitions fall under them, it is established that the representations of space and time do, namely by showing that the features addressed in their Metaphysical Expositions, too, are to be explained in terms of acts of synthesis. (shrink)

Fichte argues that the conclusion of Kant’s transcendental deduction of the categories is correct yet lacks a crucial premise, given Kant’s admission that the metaphysical deduction locates an arbitrary origin for the categories. Fichte provides the missing premise by employing a new method: a genetic deduction of the categories from a first principle. Since Fichte claims to articulate the same view as Kant in a different, it is crucial to grasp genetic deduction in relation to (...) the sorts of deduction that Kant offers. I propose to interpret genetic deduction as the simultaneous fulfillment of two tasks: answering the question quid facti by deriving the categories from the I and answering the question quid juris by establishing our entitlement to the categories as conditions of experience. While the second task represents Fichte’s agreement with Kant’s transcendental deduction, the first reflects his correction of Kant’s metaphysical deduction. (shrink)

This essay partly builds on and partly criticizes a striking idea of Dieter Henrich. Henrich argues that Kant's distinction in the first Critique between the question of fact (quid facti) and the question of law (quid juris) provides clues to the argumentative structure of a philosophical "Deduction". Henrich suggests that the unity of apperception plays a role analogous to a legal factum. By contrast, I argue, first, that the question of fact in the first Critique is settled by the (...) Metaphysical Deduction, which establishes the purity of origin of the Categories, and, second, that in the second Critique, the relevant factum is the Fact of Reason, which amounts to the fact that the Moral Law is pure in origin. (shrink)

From Groundwork for the metaphysics of morals and Critique of practical reason, we can deduce Kant's interpretation of the concept of freedom, which has undergone a change from practical freedom to transcendental freedom, and the deduction of freedom has been perfected, the rational facts have been put forward to provide the basis of free deduction. The reason for the change is that freedom as the basis of theoretical practice is assumed and predetermined, how the cause and effect of (...) freedom as will may not be explained, and the nature of freedom is not defined clearly, the legitimacy and authority of the moral law is not established. After the transformation, the problem was solved. Although rigour raises questions about the universality of Kant’s moral law, Onora Sylvia O’Neill and others argue that Kant’s moral law is a product of virtue ethics, not a normative ethic, Kant's moral law still can instruct us in ethical life. (shrink)

In relation to inferences, there is a tendency to conflate metaphysical with epistemic modalities. Concerning deductive inferences, necessity is conflated with certainty, but deductive inferences can be just likely based on the available evidence. Non-deductive inferences are defined by their uncertainty, but their epistemic status is insufficient to distinguish them from deductive inferences.

Hegel often says that his "logic" is meant to replace metaphysics. Since Hegel's Science of Logic is so different from a standard logic, most commentators have not treated the portion of that work devoted to logical forms as relevant to this claim. This paper argues that Hegel's discussion of logical forms of judgment and syllogism is meant to be the foundation of his reformation of metaphysics. Implicit in Hegel's discussion of the logical forms is the view that the metaphysical (...) concepts discussed in Books I and II of the Science of Logic supervene on the role of subject and predicate terms in the logical forms discussed in Book III. Hegel thus has an explanation for the nature and significance of metaphysical concepts that resembles Kant's "metaphysical deduction," according to which the categories can be derived from the table of judgments. Though Hegel's metaphysics is often supposed to be influenced by Kant, prevailing interpretations do not show how Hegel's fine-grained treatment of logical forms is relevant to his critical view of metaphysics. The present interpretation provides a model for Hegel's explanation of metaphysical concepts, as well as a new picture of the structure of his Science of Logic that emphasizes the priority of its Doctrine of the Concept. (shrink)

I defend an interpretation of the first Critique’s category of totality based on Kant’s analysis of totality in the third Critique’s Analytic of the mathematical sublime. I show, firstly, that in the latter Kant delineates the category of totality — however general it may be — in relation to the essentially singular standpoint of the subject. Despite the fact that sublime and categorial totality have a significantly different scope and function, they do share such a singular baseline. Secondly, I argue (...) that Kant’s note (in the first Critique’s metaphysical deduction) that deriving the category of totality requires a special act of the understanding can be seen as a ‘mark’ of that singular baseline. This way, my aesthetical ‘detour’ has the potential of revealing how the subjective aspects of object-constitution might be accounted for in the very system of the categories (of quantity) itself. (shrink)

The traditional No-Miracles Argument (TNMA) asserts that the novel predictive success of science would be a miracle, and thus too implausible to believe, if successful theories were not at least approximately true. The TNMA has come under fire in multiple ways, challenging each of its premises and its general argumentative structure. While the TNMA relies on explaining novel predictive success via the truth of the theories, we put forth a deductive version of the No-Miracles argument (DNMA) that avoids inference to (...) the best explanation entirely. Instead, a relatively simple empirical framework and a probabilistic analysis can accomplish the ambitious goals of the TNMA while entirely sidestepping its problems. This close-but-distinct argument has many independent strengths and comparatively few weaknesses. Indeed, objections tailored specifically to the DNMA reveal surprising insights into how exactly NMAs are neither circular nor question-begging, as has been widely speculated. (shrink)

Deductive inference is usually regarded as being “tautological” or “analytical”: the information conveyed by the conclusion is contained in the information conveyed by the premises. This idea, however, clashes with the undecidability of first-order logic and with the (likely) intractability of Boolean logic. In this article, we address the problem both from the semantic and the proof-theoretical point of view. We propose a hierarchy of propositional logics that are all tractable (i.e. decidable in polynomial time), although by means of growing (...) computational resources, and converge towards classical propositional logic. The underlying claim is that this hierarchy can be used to represent increasing levels of “depth” or “informativeness” of Boolean reasoning. Special attention is paid to the most basic logic in this hierarchy, the pure “intelim logic”, which satisfies all the requirements of a natural deduction system (allowing both introduction and elimination rules for each logical operator) while admitting of a feasible (quadratic) decision procedure. We argue that this logic is “analytic” in a particularly strict sense, in that it rules out any use of “virtual information”, which is chiefly responsible for the combinatorial explosion of standard classical systems. As a result, analyticity and tractability are reconciled and growing degrees of computational complexity are associated with the depth at which the use of virtual information is allowed. (shrink)

According to the deductive-nomological account of ground, a fact A grounds another fact B in case the laws of metaphysics determine the existence of B on the basis of the existence of A. Accounts of grounding of this particular variety have already been developed in the literature. My aim in this paper is to sketch a new version of this account. My preferred account offers two main improvements over existing accounts. First, the present account is able to deal with necessitarian (...) as well as non-necessitarian cases of grounding by acknowledging the existence of two types of metaphysical laws. I will argue that we should assume that metaphysical laws come in the necessitarian as well as in the non-necessitarian varietyclosely paralleling the distinction between strict and non-strict laws in the philosophy of science. The second main improvement of the present account is that this account is able to provide an explanation of why the laws of metaphysics have a direction built into them. I will argue that we should characterize metaphysical laws with the help of Theodore Sider’s (2011) notion of structure, which is a descendent of David Lewis’s (1983) notion of naturalness. According to the account of metaphysical laws developed in this paper, metaphysical laws express in their antecedents either perfectly structural truths or more structural truths than in their consequents. Since on Sider’s account structural features of reality are fundamental features of reality, the account is able to explain as to why the laws of metaphysics take us from the fundamental to the derivative. (shrink)

I take up Kant's remarks about a " transcendental deduction" of the "concepts of space and time". I argue for the need to make a clearer assessment of the philosophical resources of the Aesthetic in order to account for this transcendental deduction. Special attention needs to be given to the fact that the central task of the Aesthetic is simply the "exposition" of these concepts. The Metaphysical Exposition reflects upon facts about our usage to reveal our commitment (...) to the idea that these concepts refer to pure intuitions. But the legitimacy of these concepts still hangs in the balance: these concepts may turn out to refer to nothing real at all. The subsequent Transcendental Exposition addresses this issue. The objective validity of the concepts of space and time, and hence their transcendental deduction, hinges on careful treatment of this last point. (shrink)

I propose that we approach the epistemology of modality by putting modal metaphysics first and, specifically, by investigating the metaphysics of essence. Following a prominent Neo-Aristotelian view, I hold that metaphysical necessity depends on the nature of things, namely their essences. I further clarify that essences are core properties having distinctive superexplanatory powers. In the case of natural kinds, which is my focus in the paper, superexplanatoriness is due to the fact that the essence of a kind is what (...) causes all the many properties and behaviors that are typically shared by all the instances of the kind. Accordingly, we know what is necessarily true of kinds by knowing what is essential to them in the sense of actually playing such causal-explanatory roles. Modal reasoning aimed at discovering metaphysical necessity thus proceeds via essentialist deduction: we move from essentialist truths to reach necessary truths. (shrink)

Scholarly debates on the Critique of Pure Reason have largely been shaped by epistemological questions. Challenging this prevailing trend, Kant's Reform of Metaphysics is the first book-length study to interpret Kant's Critique in view of his efforts to turn Christian Wolff's highly influential metaphysics into a science. Karin de Boer situates Kant's pivotal work in the context of eighteenth-century German philosophy, traces the development of Kant's conception of critique, and offers fresh and in-depth analyses of key parts of the Critique (...) of Pure Reason, including the Transcendental Deduction, the Schematism Chapter, the Appendix to the Transcendental Analytic, and the Architectonic. The book not only brings out the coherence of Kant's project, but also reconstructs the outline of the 'system of pure reason' for which the Critique was to pave the way, but that never saw the light. (shrink)

In this paper, I argue that inductive inferences can be reinterpreted as deductive through a metaphysical lens of modal necessity. Instead of viewing deduction as a limit case of induction where the conclusion is certain rather than probable, we can rethinking inductive inferences as a particular type of deductive inferences where the conclusion is necessitated by premises in specific modal ranges.

Can sensibility, as our capacity to be sensibly presented with objects, be understood independently of the understanding, as the capacity to form judgments about those objects? It is a truism that for judgments to be empirical knowledge they must agree with what sensibility presents. Moreover, it is a familiar thought that objectivity involves absolute independence from intellectual acts. The author argues that together these thoughts motivate a common reading of Kant on which operations of sensibility are conceived as intelligible independently (...) of acts of the understanding, so that their supposed objectivity can validate judgments as empirical knowledge. He contends that there are two reasons why this epistemic compositionalism is implausible both as a reading of Kant and in itself. First, read compositionally, Kant’s Transcendental Deduction is unable to fulfill its stated aim of showing that the categories are objectively valid, that is, exemplified by the objects that sensibility presents. Second, Kant sees that sensibility by itself cannot be understood to even purport to present objects, thus undermining the very intelligibility of compositionalism. The author argues that, given these challenges, Kant’s Deduction develops an alternative account, on which operations of sensibility and acts of the understanding can be understood only together. He contends that this epistemic hylomorphism transforms the familiar thought underlying compositionalism: objectivity simultaneously involves formal agreement with intellectual acts in general and material independence from any specific such act. He thus shows how Kant reconceives our conception of objectivity by overcoming compositionalism in favor of hylomorphism. (shrink)

Kant's 1772 letter to Markus Herz is celebrated for its marking the ‘Critical turn’ in Kant's thought, a turn that would move Kant away from the speculative metaphysics of the 1750s towards the Critical philosophy of 1781. It is here, seemingly for the first time, that Kant asks the question concerning the relationship between concepts and objects, telling his former pupil that the answer to this question ‘constitutes the key to the whole secret of hitherto still obscure metaphysics.’ For anyone (...) interested in the development of Kant's thought this makes for exciting news since it is the posing of this question that marks Kant's first step towards the Critique and it is the answer to this question that will come to identify the ‘objective portion’ of the Transcendental Deduction, a text that already begins with a rehearsal of points raised in Kant's letter. But while the letter to Herz is clearly itself a key to what Kant sees as the ‘whole secret of hitherto still obscure metaphysics’, the question concerning concepts and objects itself poses interpretive problems that need to be addressed. Above all, one needs to ask how Kant arrived at such a question. (shrink)

Lucy Allais seeks to provide a reading of the Transcendental Deduction of the Categories which is compatible with a nonconceptualist account of Kant’s theory of intuition. According to her interpretation, the aim of the Deduction is to show that a priori concept application is required for empirical concept application. I argue that once we distinguish the application of the categories from the instantiation of the categories, we see that Allais’s reconstruction of the Deduction cannot provide an answer (...) to Hume’s problem about our entitlement to use a priori concepts when thinking about the objects of empirical intuition. If the Deduction is to provide a response to Hume, Allais’s interpretation must be rejected. (shrink)

G. A. Cohen defends and Jon Elster criticizes Marxist use of functional explanation. But Elster's mechanical conception of explanation is, contrary to Elster's claims, a better basis for vindication of functional explanation than Cohen's nomological conception, which cannot provide an adequate account of functional explanation. Elster also objects that functional explanation commits us to metaphysically bizarre collective subjects, but his argument requires an implausible reading of methodological individualism which involves an unattractive eliminativism about social phenomena.

In this chapter, I discuss some problems of Kant’s logic corpus while recognizing its richness and potential value. I propose and explain a methodic way to approach it. I then test the proposal by showing how we may use various mate- rials from the corpus to construct a Kantian demonstration of the formal rules of thinking (or judging) that lie at the base of Kant’s Metaphysical Deduction. The same proposal can be iterated with respect to other topics. The (...) said demonstration will have cleared the path for such iterations. (shrink)

An effort to expand and defend aspects of my earlier reading of the Deduction of Taste. The Red Scorpion is just for fun. -/- .

Warranting further examination is how the nascent philosophical tradition initially spread to this region from its Ionian provenance. Despite numerous ancient attestations that Parmenides of Elea was influenced, or even directly instructed, by the Ionian-born Xenophanes, many modern scholars remain skeptical of this historical association. The extent of this skepticism ranges from cautious uncertainty to outright denial of any historical plausibility. The skeptical grounds similarly vary, from distrusting the historical veracity of late and/or perhaps biased commentators, to understanding these thinkers (...) as involved in radically different projects. This essay aims to challenge the skeptical position, and establish a direct link disseminating Ionian philosophy to Magna Graecia via Xenophanes and Parmenides. The argument is straightforward. First, the ancient geographical and temporal evidence is noted, establishing that it was possible for Parmenides to have been influenced and/or taught by Xenophanes. Next, the metaphysical and epistemological parallels between these thinkers are considered. Despite notable differences, on balance, these close parallels suggest against the skeptical view, making it quite plausible to impute a direct intellectual link between these thinkers. Third, I consider ancient claims that both thinkers were engaging with religious topics, offering a sort of “rational theology.” This evidence for a close intellectual relationship between these thinkers has been entirely ignored by modern scholars, and orthodox interpretative models cannot readily provide a charitable explanation for them. However, by reconsidering the theistic content in Parmenides’s poem, a new interpretative approach is revealed which can. Once this evidence is considered in its totality, the case for imputing a close and direct intellectual heritage from Xenophanes to Parmenides proves quite substantial. (shrink)

In this paper, I attempt to clarify the heart of Dewey’s philosophy: his method (denotative method (DM) / pattern of inquiry (PI)). Despite the traditional understanding of Dewey as anti-foundationalist, I want to show that Dewey did have metaphysical foundations for his method: the principle of continuity or theory of emergentism. I also argue that Dewey’s metaphysical position is better named as ‘cultural emergentism’, rather than his own term ‘cultural naturalism’. What Dewey called ‘common sense’ in his Logic, (...) Husserl termed as the ‘life-world’ in his Crisis. I compare two perspectives of dealing with the phenomenon and conclude that for Dewey, the difference between natural sciences and the common sense inquiry is that of subject-matter but not of method. Thus, the goal is to find the unified method to be applied in both domains. Whereas Husserl was more pessimistic: for him, the difference was not only in subject-matter, but in the very methods. Following that discussion, I also attempt to reformulate the hard problem of consciousness in Deweyan terms. In the end, I compare Dewey’s DM / PI with Popper’s understandings of scientific method and conclude that there is no significant difference between the two and that Dewey’s method could also be looked at as hypothetic-deductive method, with the only difference in emphases. (shrink)

Gabriele Gava's new monograph makes sense of Kant's obscure claim that the Critique of Pure Reason is a "doctrine of method" for the science of metaphysics. Gava does this by offering a reading of the whole Critique as aiming to show that metaphysics can become an "architectonic" science. The book shows impressive range; it covers diverse topics throughout the Aesthetic, Analytic, Dialectic, and Method, brings out appealing parallels between them, and relates them to the task of exhibiting metaphysic's architectonic unity. (...) But, I argue, it stops short of a full explanation of how the Critique is meant to outline or anticipate the whole of metaphysics in advance of actually completing that science. (shrink)

Primitive, unanalysable grounding relations are considered by many to be indispensable constituents of the metaphysician’s toolkit. Yet, as a primitive ontological posit, grounding must earn its keep by explaining features of the world not explained by other tools already at our disposal. Those who defend grounding contend that grounding is required to play two interconnected roles: accounting for widespread intuitions regarding what is ontologically prior to what, and forming the backbone of a theory of metaphysical explanation, in much the (...) same way that causal relations have been thought to underpin theories of scientific explanation. This thesis undermines the need to posit grounding relations to perform either of these jobs. With regard to the first, it is argued that a pair of human psychological mechanisms—for which there is substantial empirical support—can provide a more theoretically virtuous explanation of why we have the intuitions that we do. With regard to the second, I begin by considering what we want from a theory of explanation, and go on to develop three attractive (yet grounding-free) theories of metaphysical explanation. I offer: i) a psychologistic theory that calls upon the aforementioned psychological mechanisms, as well as the modal relations of necessitation and supervenience, ii) a metaphysical variant of the deductive-nomological theory of scientific explanation, and iii) a metaphysical variant of the unificationist theory of scientific explanation. Furthermore, these theories draw upon mechanisms and relations (both logical and ontological) to which we are already committed. Thus, to posit grounding relations in order to explain our priority intuitions, or in order to develop a theory of metaphysical explanation, is ontologically profligate. I conclude that we should not posit relations of ground. (shrink)

The paper offers a model of Kant's claim that unity of consciousness entails objectivity of experience. This claim has nothing especially to do with thought, language or the categories but is a general truth about arbitrary signaling systems of the sort modeled in the paper. In conclusion I draw some consequences for various forms of idealism.

The concept of facticity denotes conditions of experience whose necessity is not logical yet whose contingency is not empirical. Although often associated with Heidegger, Fichte coins ‘facticity’ in his Berlin period to refer to the conclusion of Kant’s metaphysical deduction of the categories, which he argues leaves it a contingent matter that we have the conditions of experience that we do. Such rhapsodic or factical conditions, he argues, must follow necessarily, independent of empirical givenness, from the I through (...) a process of ‘genesis.’ I reconstruct Fichte’s argument by tracing the origin of his neologism, presenting his Jena critique of Kant’s rhapsodic appeal to the forms of judgment, and illustrating the Jena period’s continuity with the Berlin period’s genetic method, while noting a methodological shift whereby Fichte directs his critique against his own doctrine of intellectual intuition in order to eliminate its ‘factical terms.’. (shrink)

The aim of the Analytic of Concepts is to derive and deduce a set of pure concepts of the understanding, the categories, which play a central role in Kant’s explanation of the possibility of synthetic a priori cognition and judgment. This chapter is structured around two questions. First, what is a pure concept of the understanding? Second, what is involved in a deduction of a pure concept of the understanding? In answering the first, we focus on how the categories (...) differ from the pure forms of sensibility and examine whether they are known only to be the pure forms of human thinking or rather the forms of discursive cognition as such. In answering the second, we draw a distinction between the application and the exemplification of the categories and use it to identify different ways of understanding Kant’s project in the Transcendental Deduction of the Categories. These questions connect because the answer to the first determines how we should understand the kind of entitlement which is to be established in the Deduction. (shrink)

The paper sets out from Göodel's question about primitive concepts, in connection with Gödel's proposal of the employment of phenomenological method. The author assumes that the answer that can be found in Kant is relevant as a starting point. In a modification of the approach by K. Reich, a reconstruction of Kant's "deduction'' of logical forms of judgment is presented, which serve Kant as the basis for his "metaphysical deduction of categories'' including substantiality and causality. It is (...) proposed that different aspects of Kant's "original unity of self-consciousness'' as applied and attached to concrete representations step by step yield different forms of concepts, judgments, and inferences. Categorical, hypothetical and disjunctive judgments are shown to be gradually strengthening the conditions of bringing our representations under the "objective unity of consciousness", and in this way gradually implementing logical laws. The corresponding concepts of substantiality, causality, and mutual influence appear to be grounded in the primitive forms of our thinking. (shrink)

In Kant’s Critique of Pure Reason and the Method of Metaphysics (CUP 2023), I argue that the first Critique is not only a ‘propaedeutic’ to metaphysics, but actually already establishes parts of metaphysics. These parts belong to what Kant calls transcendental philosophy. Additionally, I also provide an account of Kant’s critique of dogmatism and Wolff as its main defender. In this paper, I take up Luigi Filieri’s and Davide Dalla Rosa’s invitation to further develop my characterization of transcendental philosophy and (...) I respond to Michael Walschots’s objections against my interpretation of Kant’s critique of Wolff’s dogmatism. (shrink)

The role and nature of imagination in Kant's Critique of Pure Reason is intensively examined. In addition, the text of Kant's Anthropology from a Pragmatic Point of View will also be considered because it helps illustrate this issue. Imagination is the fundamental power of the mind responsible for any act of forming and putting together representations. A new interpretation of imagination in Kant is given which recognizes its necessary roles as the factor responsible for producing space and time, as an (...) essential component in perception, as the mediator of concepts and intuitions, and as the synthesizing agent which groups together representations into categories. ;The work is divided basically into two parts. The first part looks at the imagination in the Transcendental Aesthetic. It will be shown that space and time themselves are products of imagination. As pure and a priori intuitions space and time are objects of thought and thus are conditioned by the synthetic power of imagination. Moreover, as forms of intuitions space and time are also conditioned by imagination; hence, imagination is a necessary factor in spatial and temporal perception. ;The second part of the thesis concerns the role of imagination in the Transcendental Analytic. Here the role of the imagination is more pervasive. In the Metaphysical Deduction the thesis argues that the imagination is responsible for uniting representations into twelve categories which are the conditions of thinking in general. Therefore the categories themselves owe their origins to imagination. This interpretation hinges on Kant's distinction between transcendental and general logic, which the thesis will discuss in detail. In the Transcendental Deduction the imagination is responsible for taking up representations in such a way that results in their belonging to a single framework of consciousness, thus showing that the categories apply to a posteriori representations. In the Schematism the imagination is necessary in forming the schemata, which join together concepts and intuitions so that both empirical and transcendental judgments are produced. Finally, a critique of Heidegger's idea on imagination as the "common root" of sensibility and understanding will be offered. (shrink)

Abstract Timothy Williamson has recently proposed to undermine modal skepticism by appealing to the reducibility of modal to counterfactual logic ( Reducibility ). Central to Williamson’s strategy is the claim that use of the same non-deductive mode of inference ( counterfactual development , or CD ) whereby we typically arrive at knowledge of counterfactuals suffices for arriving at knowledge of metaphysical necessity via Reducibility. Granting Reducibility, I ask whether the use of CD plays any essential role in a Reducibility-based (...) reply to two kinds of modal skepticism. I argue that its use is entirely dispensable, and that Reducibility makes available replies to modal skeptics which show certain propositions to be metaphysically necessary by deductive arguments from premises the modal skeptic accepts can be known. Content Type Journal Article Pages 1-19 DOI 10.1007/s11098-011-9784-4 Authors Juhani Yli-Vakkuri, Wolfson College, Oxford University, Oxford, OX2 6UD UK Journal Philosophical Studies Online ISSN 1573-0883 Print ISSN 0031-8116. (shrink)

This book attempts to contribute a historical and interpretive study of Descartes' epistemology. It provides a systematic and exhaustive clarification of the mysterious and puzzling doctrine of "clear and distinct perception" and illuminates the relationships between this doctrine and four other central notions: "truth," "metaphysical doubt," "(metaphysical) certainty," and "knowledge." -/- Roughly speaking, a clear and distinct perception is a pure understanding, an intellectual perception, or a mental intuition in which a purified and attending mind has a simple (...) mental intuition of a simple proposition or a necessary deduction (i.e., a complex mental intuition) from such simple propositions to a complex proposition. A simple proposition can be regarded as a necessary conjunction of simple ideas. Descartes' composition theory of ideas, which supposes that all ideas are composed of simple ideas, provides a crucial basis for clear and distinct perception. -/- Descartes' doctrine of clear and distinct perception is an attempt at mathematizing epistemology and is the main content of his new "method" (for truth and knowledge), which he sought throughout his life. -/- This book attempts to shape a new image of Descartes' epistemology. (shrink)

The importance of the pure concepts of the understanding (i.e. the categories) within Kant’s system of philosophy is undeniable. As I hope to make clear in this essay, however, the categories are also an essential part of Kant’s critique of Christian Wolff. In particular, I argue that Kant’s development of the categories represents a decisive break with the Wolffian conception of the understanding and that this break is central to understanding the task of the Transcendental Analytic. This break, however, is (...) not merely that Kant affirms while Wolff and his followers deny a sharp distinction between sensibility and the understanding, which is the aspect of Kant’s rejection of Wolff that scholars most frequently note. Rather, this break concerns differences in their views about the understanding itself. For while Wolff conceives of the understanding as a mental capacity to extract and make distinct content already present in the senses, Kant conceives of the understanding in its “real use” as a capacity to produce purely intellectual content. (shrink)

This article takes one of the richest historical debates, that of Hsun-Tzu and Mencius, as the contextual starting-point for the elaboration of human goodness. In support of Mencius, this article develops additional metaphysical and bio-social-evolutionary grounds, both of which parallel each other. The metaphysical analysis suggests that, in the spirit of Spinoza, an entity’s nature must necessarily include the drive toward its preservation. Likewise, the multi-faceted bio-social-evolutionary argument locates the fundamental telos of humanity in the preservation of social (...) ties and species preservation, leading to a life-affirming philosophy and bio-psychological deduction of human emotions based on the primary emotion of love. (shrink)

We begin by considering two common ways of conceiving critical metaphysics. According to the first (and polemical) conception, critical metaphysics analyzes nothing more than the form of thought and thereby misses the proper point of metaphysics, namely to investigate the form of reality. According to the second (and affirmative) conception, critical metaphysics starts from the supposed insight that the form of reality cannot be other than the form of thought and is thus not required to analyze anything but that form. (...) We argue that the first conception is too weak while the second is too strong. Then we sketch an alternative conception of critical metaphysics, a conception we find expressed both in Kant’s B-Deduction and in the way Barry Stroud has recently investigated the possibility of metaphysics. According to such a conception, a properly critical metaphysics needs to proceed in two steps: first, it needs to analyze the most general and necessary form of any thought that is about an objective reality at all; second, it needs to investigate how that form of thought relates to the reality it purports to represent. But unlike Kant, Stroud remains sceptical regarding the possibility of a satisfying transition from thought to reality in metaphysics. We argue that this dissatisfaction can be traced back to a notion of objectivity and reality in terms of complete mind-independence. Then we sketch an alternative notion of objectivity and reality in terms of distinctness from subjects and acts of thinking, and argue that it is that notion that allows Kant, with his Transcendental Idealism, to make the transition required for any satisfying metaphysics, namely that from the form of thought to reality. (shrink)

The fundamental assumption of Dummett’s and Prawitz’ proof-theoretic justification of deduction is that ‘if we have a valid argument for a complex statement, we can construct a valid argument for it which finishes with an application of one of the introduction rules governing its principal operator’. I argue that the assumption is flawed in this general version, but should be restricted, not to apply to arguments in general, but only to proofs. I also argue that Dummett’s and Prawitz’ project (...) of providing a logical basis for metaphysics only relies on the restricted assumption. (shrink)

This is our journal for developing Deduction Theory and studying Deep Learning and Artificial intelligence. Deduction Theory is a Theory of Deducing World’s Relativity by Information Coupling and Asymmetry. We focus on information processing, see intelligence as an information structure that relatively close object-oriented, probability-oriented, unsupervised learning, relativity information processing and massive automated information processing. We see deep learning and machine learning as an attempt to make all types of information processing relatively close to probability information processing. We (...) will discuss about how to understand Deep Learning and Artificial intelligence and why Deep Learning is shown better performance than the other methods by metaphysical logic. (shrink)

Heiko Puls’ work Sittliches Bewusstsein und Kategorischer Imperativ in Kants Grundlegung: Ein Kommentar zum dritten Abschnitt, presents an attempt to show that, in the Groundwork of the Metaphysics of Morals, Kant’s argumentation for the objective value of the categorical imperative is almost based upon the same principle as the one presented in the second Critique. More precisely, Puls claims that, like in the Critique of Practical Reason, the Groundwork operates with some kind of fact of reason-theory, which means that our (...) consciousness of the moral law is the ratio cognoscendi of our freedom of will. Accordingly, there is no conclusion from a kind of non-moral consciousness of freedom to the freedom of will and from here to the objective value of the categorical imperative, as many interpreters assume. Due to the ambitiousness of his main thesis and his detailed and subtle way of arguing, Puls’ work represents an important and innovative contribution to recent research on Kant’s Groundwork. Nevertheless, his interpretations sometimes seem to favour analysis of loose philological relationships over closer looks on the contexts of passages. Or he focuses excessively on isolated textual evidences for his readings without appropriately recognising the various other evidences against it. In what follows, I give examples for this criticism. (shrink)

This paper presents a deductive proof for the necessary existence of objective truth and reality, addressing core philosophical challenges across multiple frameworks, including modernism, postmodernism, relativism, and radical skepticism. By starting with the undeniable fact of subjective experience, the argument demonstrates that rationality presupposes subjectivity, which in turn relies on the classical laws of logic. These laws cannot be grounded within subjectivity or rationality without falling into circular reasoning. Therefore, the proof establishes that objective reality must serve as the ground (...) for these logical laws, while objective truth provides their validation. This foundational framework resolves key philosophical problems, including infinite regress and self-justification, allowing for coherent philosophical thought. Furthermore, the paper explores conceptual parallels between this proof and elements of mysticism, pragmatism, and religious notions of divinity, suggesting a unified foundation that can empower individual contributions to the collective pursuit of truth. (shrink)

Impossible worlds are representations of impossible things and impossible happenings. They earn their keep in a semantic or metaphysical theory if they do the right theoretical work for us. As it happens, a worlds-based account provides the best philosophical story about semantic content, knowledge and belief states, cognitive significance and cognitive information, and informative deductive reasoning. A worlds-based story may also provide the best semantics for counterfactuals. But to function well, all these accounts need use of impossible and as (...) well as possible worlds. So what are impossible worlds? Graham Priest claims that any of the usual stories about possible worlds can be told about impossible worlds, too. But far from it. I'll argue that impossible worlds cannot be genuine worlds, of the kind proposed by Lewis, McDaniel or Yagisawa. Nor can they be ersatz worlds on the model proposed by Melia or Sider. Constructing impossible worlds, it turns out, requires novel metaphysical resources. (shrink)

Kant maintains that his Critique of Pure Reason follows a “synthetic method” which he distinguishes from the analytic method of the Prolegomena by saying that the Critique “rests on no other science” and “takes nothing as given except reason itself”. The paper presents an account of the synthetic method of the Critique, showing how it is related to Kant’s conception of the Critique as the “science of an a priori judging reason”. Moreover, the author suggests, understanding its synthetic method sheds (...) light on the structure of the Transcendental Deduction, and its function in the work as a whole. (shrink)

As soon as you believe an imagination to be nonfictional, this imagination becomes your ontological theory of the reality. Your ontological theory (of the reality) can describe a system as the reality. However, actually this system is only a theory/conceptual-space/imagination/visual-imagery of yours, not the actual reality (i.e., the thing-in-itself). An ontological theory (of the reality) actually only describes your (subjective/mental) imagination/visual-imagery/conceptual-space. An ontological theory of the reality, is being described as a situation model (SM). There is no way to prove/disprove (...) that there is only one reality, or there are two realities (i.e., “subjective reality” and “objective reality”). So, every ontology talk/theory/imagination about the two realities is only a talk/theory/imagination – we will never know whether it is true or not. The conventionally-called “physical/objective reality/world” around my conventionally-called “physical/objective body” is actually a geometric mathematical model (being generated/mathematically-modeled by my brain) – it's actually a subset/component/part/element of my brain’s mind/consciousness/manifest-image. Our cosmos is an autonomous objective parallel computing automaton (aka state machine) which evolves by itself automatically/unintentionally – wave-particle duality and Heisenberg’s uncertainty principle can be explained under this SM of my brain. Each elementary particle (as a building block of our cosmos) is an autonomous mathematical entity itself (i.e., a thing in itself). Our cosmos has the same nature as a Game of Life system – both are autonomous objective parallel-computing automata. Cosmos (as a state machine) is indistinguishable from a digital simulation – my consciousness (as something nonphysical) is not cosmos (as a state machine). If we are happy to accept randomness/stochasticity, then it is obviously possible that all other worlds in the many-worlds interpretation (MWI) actually do not exist (objectively). As one metaphysical option, we can treat all other worlds as subjective only (even if they are actually objective). Under the context of this metaphysical option, we are only living in one world (i.e., the world we are currently living in; this world) – we are not living in many worlds at the same time parallelly. Under the context of this metaphysical option, there is only one possible future. The relationship among any number of elementary particles, is governed/described by Schrodinger equation. If (in theory) Schrodinger equation can’t be used to reliably forecast whether I will go to McDonald for dinner in this world (based on the current state of all elementary particles of the cosmos), then what can Schrodinger equation do? The conventionally-called “space” does not exist objectively. “Time” and “matter” are not physical. Consciousness is the subjective-form (aka quale) of the mathematical models (of the objective cosmos) which are intracorporeally/subjectively used by the control logic of a Turing machine’s program fatedly. A Turing machine’s mind/consciousness/manifest-image or deliberate decisions/choices should not be able to actually/objectively change/control/drive the (autonomous or fated) worldline of any elementary particle within this world (i.e., the world we are currently living in, under the context of MWI). Besides the Schrodinger equation (or another mathematical equation/function which is yet to be discovered) which is a valid/correct/factual causality of our cosmos/state-machine, every other causality (of our cosmos/state-machine) is either invalid/incorrect/counterfactual or can be proved by deductive inference based on the Schrodinger equation (or the aforementioned yet-to-be-discovered mathematical equation/function) only. Closed causality entails no causality. Consciousness plays no causal role (“epiphenomenalism”), or in other words, any cognitive/behavioural activity can in principle be carried out without consciousness (“conscious inessentialism”). If the “loop quantum gravity” theory is correct, then time/space does not actually/objectively exist in the objective-evolution of the objective cosmos, or in other words, we should not use the subjective/mental concept of “time”, “state” or “space” to describe/imagine the objective-evolution of our cosmos. (shrink)

"All-and-Nought" is the 2nd Edition of a series of books that study the nature of Reality and Being. The first edition of the book, "The Metaphysics of All-and-None", was published by Edwin Mellen Press in January 2022; since then the book has been under severe investigations and reviews by many scholars and pundits worldwide. The 2nd edition of the book contains the original text plus a foreword by Professor Richard Howells from King’s College London and some reports by Physicists, Biologists, (...) and others. Journal of Mind, one the most important journals in Philosophy, paid attention to the book and in its critical review article October 2022, encourages all philosophers and pundits to study the book. -/- The book's core concept is a Scientific/Mathematical, a-priori/synthetic theory called All'n'None Theory. It studies the Symmetry and Asymmetry in Reality and points to a state that indicates the deep Symmetry between "All Beings" and "Nothingness". It deeply studies the relationships between being and non-being from the perspective of Symmetry and symmetry failure and offers a measurement tool and a new method of studding phenomena. -/- It seems All`n`None Theory is a scientific breakthrough and discovery. The book methodologically applies Physics, Conceptual philosophy, Mathematics, and jurisprudence analysis both inductively and deductively to prove its theory. It is the first and the only Theory for Explaining the nature of Existence (being) and provides a technique to measure the amount of existence in each being. -/- Through understanding Existence, the book explains Creation, Cosmos, Consciousness, Mind, Spirit, and Soul scientifically. It is deep enough to initially encompass and then merge all modern Sciences (Physics, Philosophy, Complexity, System Theory, Information Theory, Psychology, Biology, Humanities, Economy, and Management) with Buddhism, Hinduism, Judaism, Christianity, and Islam (Theology) and makes the image of Reality clearer for readers. -/- The book proves chaos management in the depth of creation and shows how people can use the only law of creation for their own success and salvation. Therefore the book is an inspirational one too. Readers by reading the book and understanding it not only gain scientific knowledge but also find profound wisdom that heals them. They feel they are enlightened and motivated to construct their meaning of life. Readers can recognize their self/ego structure of being and enjoy the passion to improve. -/- The book tries to explain the mechanism of Thinking with respect to Symmetry and the failure of Symmetry as the foundation of Categorization, Mentalization, and Cognition. By understanding the mechanism of cognition it can study Epistemology and explain the Believing Mechanism and the nature of Beliefs as a kind of being. The theory claims no matter the beliefs originated from Science or Religion the mechanisms that govern both of them are the same. Based on the theory, “Knower or Observer”, “Known or Observed”, and “knowing or observation” are rooted in Symmetry and its failure. The tone, language, and structure of the book are unique to itself. It is not an entertainment or commercial book. The book is written for readers who plan to spend enough time to think about its content. (shrink)

The mind has always been a peculiar and elusive subject, sparking controversial theories throughout the history of philosophy. The initial theorization of the mind dates back to Orphism, which formulated a dualistic structure of soul and body (Johansen, 1999) [1], laying the foundation for Greek dualism, introspection, and the rise of metaphysical idealism. This ill-empirical stance, especially after Plato’s idea of forms, led to inaccessible theoretical concepts concerning the investigation of the relationship between body and mind. Although diverse theories (...) provide broader insights into such matters, they can also hinder progress if based on unsound methodological hypothesis. The present study aims to employ a rational reexamination of the potentiality of the concepts of mind, using abductive inspection to present a valid grasp through the lens of cognitive neuroscience, philosophy, and interdisciplinary fields. This paper speculates through empirical deduction by analyzing the literature and theories on the concept of mind and its possible implications for singularity via transhumanism. In the contemporary world, humankind is on the edge of singularity due to the exponential growth predicted by Moore’s law (Moore 1965) [2]. While many considered singularity an abstract akin to science fiction, significant projections indicate that the accelerationist change has already begun, irreversibly. This advancement occurs not only in the degree of semiconductors in electronics but also in the amplification of human cognition through external devices enabling compound information flow via the world wide web. However, the conjunction of robotics and AI may outdo humankind in the contest for sovereignty soon due to their advantageous architecture in process design, which increases the systemic risk of extinction for humankind. Achieving total control over AI is unrealistic, as it requires complete supervision over all computers and information processes across the world, rendering any regulatory efforts to foresee augmentation futile. Consequently, this paper proposes the adoption of a neuro-robotic approach, enriched with AI, and implementation through biomedical applications on the human body to augment human cognition and physicality. This study aims to raise awareness against existential risks, emphasizing that reliance solely on AI powered computers could lead to annihilation. It also aims to highlight that biological mind and body is lagging behind the modern science to compete against Artificial Intelligence. Moreover, the foundation of Artificial General Intelligence (AGI) is an epistemic foundation for cognitive machinery enhancement that cannot be reversed once it emergence become apparent, as with Pandora’s Box. Technological singularity (Shanahan, 2015) [3], the point where technology is intelligently engineered to engineer its own sets by compounding all possible implementations of practical and theoretical information, is appearing on the horizon. Even if there is no human agency left on the soil of Earth, there is still no turning back at that point. Humankind must actively hold the key to bend this alteration in a way that aligns with its desires. Therefore, we propose, future for humankind lies with transhumanism. (shrink)

PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...) all booksellers, including Barnes & Noble, Amazon, and brick-and-mortar bookstores under ISBN 978-0-578-88646-6. ●●●●● In light of the length of this book, readers who would like to have a more detailed description of the book's objectives and method may find it helpful to read the detailed and clearly written Wikipedia entry about this work: From the Wikipedia search page, use the search phrase "Critique of Impure Reason". At least at the time of this writing (11/29/2021), the Wikipedia entry is well-researched and accurate. ●●●●● In addition, a "Primer on Bartlett's CRITIQUE OF IMPURE REASON" has been made available by the author. It is available under its title through PhilPapers and other philosophy online archives. ●●●●● COMMENDATIONS OF THIS WORK, from the back cover of the published edition: ●●●●● “I admire its range of philosophical vision.” – Nicholas Rescher, Distinguished University Professor of Philosophy, University of Pittsburgh, author of more than 100 books. ●●●●● “Bartlett’s _Critique of Impure Reason_ is an impressive, bold, and ambitious work. Careful scholarship is balanced by original analyses that lead the reader to recognize the limits of meaning, knowledge, and conceptual possibility. The work addresses a host of traditional philosophical problems, among them the nature of space, time, causality, consciousness, the self, other minds, ontology, free will and determinism, and others. The book culminates in a fascinating and profound new understanding of relativity physics and quantum theory.” – Gerhard Preyer, Professor of Philosophy, Goethe-University, Frankfurt am Main, Germany, author of many books including _Concepts of Meaning_, _Beyond Semantics and Pragmatics_, _Intention and Practical Thought_, and _Contextualism in Philosophy_. ●●●●● “[This work’s] goal is of a unique and difficult species: Dr. Bartlett seeks to develop a formal logical calculus on the basis of transcendental philosophical arguments; in fact, he hopes that this calculus will be the formal expression of the transcendental foundation of knowledge.... I consider Dr. Bartlett’s work soundly conceived and executed with great skill.” – C. F. von Weizsäcker, philosopher and physicist, former Director, Max-Planck-Institute, Starnberg, Germany. ●●●●● “Bartlett has written an American “Prolegomena to All Future Metaphysics.” He aims rigorously to eliminate meaningless assertions, reach bedrock, and place philosophy on a firm foundation that will enable it, like science and mathematics, to produce lasting results that generations to come can build on. This is a great book, the fruit of a lifetime of research and reflection, and it deserves serious attention.” — Martin X. Moleski, former Professor, Canisius College, Buffalo, NY, studies of scientific method, the presuppositions of thought, and the self-referential nature of epistemology. ●●●●● “Bartlett has written a book on what might be called the underpinnings of philosophy. It has fascinating depth and breadth, and is all the more striking due to its unifying perspective based on the concepts of reference and self-reference.” – Don Perlis, Professor of Computer Science, University of Maryland, author of numerous publications on self-adjusting autonomous systems and philosophical issues concerning self-reference, mind, and consciousness. ●●●●● ●●●●● The _Critique of Impure Reason: Horizons of Possibility and Meaning_ comprises a major and important contribution to philosophy. Thanks to the generosity of its publisher, this massive 885-page volume has been published as a free open access eBook (3.75MB) as well as an open access printed edition. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. ●●●●● In Kant’s _Critique of Pure Reason_ we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new _Critique_ focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ _conflict_ with the very preconditions of meaning and of knowledge. ●●●●● This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. ●●●●● The _Critique of Impure Reason_ proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. ●●●●● The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of _possible meaning_ are determined. ●●●●● Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, _metalogical projection_. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. ●●●●● Based on original research and rigorous analysis combined with extensive scholarship, the _Critique of Impure Reason_ develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. ●●●●● CONTENTS AT A GLANCE ▪▪▪▪▪ Preface ▪▪▪▪▪ Foreword by Carl Friedrich von Weizsäcker ▪▪▪▪▪ Acknowledgments ▪▪▪▪▪ Avant-propos: A philosopher’s rallying call ▪▪▪▪▪ Introduction ▪▪▪▪▪ A note to the reader ▪▪▪▪▪ A note on conventions ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART I ▪▪▪▪▪ ▪▪▪▪▪ WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN ▪▪▪▪▪ 1 Philosophical-psychological prelude ▪▪▪▪▪ 2 Putting belief in its place: Its psychology and a needed polemic ▪▪▪▪▪ 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference ▪▪▪▪▪ 4 The stepladder to maximum theoretical generality ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART II ▪▪▪▪▪ THE METALOGIC OF REFERENCE ▪▪▪▪▪ A New Approach to Deductive, Transcendental Philosophy ▪▪▪▪▪ 5 Reference, identity, and identification ▪▪▪▪▪ 6 Self-referential argument and the metalogic of reference ▪▪▪▪▪ 7 Possibility theory ▪▪▪▪▪ 8 Presupposition logic, reference, and identification ▪▪▪▪▪ 9 Transcendental argumentation and the metalogic of reference ▪▪▪▪▪ 10 Framework relativity ▪▪▪▪▪ 11 The metalogic of meaning ▪▪▪▪▪ 12 The problem of putative meaning and the logic of meaninglessness ▪▪▪▪▪ 13 Projection ▪▪▪▪▪ 14 Horizons ▪▪▪▪▪ 15 De-projection ▪▪▪▪▪ 16 Self-validation ▪▪▪▪▪ 17 Rationality: Rules of admissibility ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART III ▪▪▪▪▪ PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE ▪▪▪▪▪ Major Problems and Questions of Philosophy and the Philosophy of Science ▪▪▪▪▪ 18 Ontology and the metalogic of reference ▪▪▪▪▪ 19 Discovery or invention in general problem-solving, mathematics, and physics ▪▪▪▪▪ 20 The conceptually unreachable: “The far side” ▪▪▪▪▪ 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism ▪▪▪▪▪ 22 The projections of time, space, and space-time ▪▪▪▪▪ 23 The projections of causality, determinism, and free will ▪▪▪▪▪ 24 Projections of the self and of solipsism ▪▪▪▪▪ 25 Non-relational, agentless reference and referential fields ▪▪▪▪▪ 26 Relativity physics as seen through the lens of the metalogic of reference ▪▪▪▪▪ 27 Quantum theory as seen through the lens of the metalogic of reference ▪▪▪▪▪ 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory ▪▪▪▪▪ ▪▪▪▪▪ PART IV ▪▪▪▪▪ HORIZONS ▪▪▪▪▪ 29 Beyond belief ▪▪▪▪▪ 30 _Critique of Impure Reason_: Its results in retrospect ▪▪▪▪▪ ▪▪▪▪▪ SUPPLEMENT ▪▪▪▪▪ The Formal Structure of the Metalogic of Reference ▪▪▪▪▪ APPENDIX I ▪▪▪▪▪ The Concept of Horizon in the Work of Other Philosophers ▪▪▪▪▪ APPENDIX II ▪▪▪▪▪ Epistemological Intelligence ▪▪▪▪▪ References ▪▪▪▪▪ Index ▪▪▪▪▪ About the author. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. David Elohim examines the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, (...) undecidable propositions, and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter \textbf{2} argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. Elohim develops a novel, topic-sensitive truthmaker semantics for dynamic epistemic logic, and develops a novel, dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter \textbf{3} provides an abstraction principle for two-dimensional (hyper-)intensions. Chapter \textbf{4} advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter \textbf{5} applies the fixed points of the modal $\mu$-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal $\mu$-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal $\mu$-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter \textbf{6} advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter \textbf{7} provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters \textbf{2} and \textbf{4} is availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters \textbf{8-12} provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter \textbf{8} examines the interaction between Elohim's hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of $\Omega$-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter \textbf{9} examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. Elohim countenances a hyperintensional semantics for novel epistemic abstractionist modalities. Elohim suggests, too, that higher observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for two-dimensional hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter \textbf{10} examines the philosophical significance of hyperintensional $\Omega$-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter \textbf{11} provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter \textbf{12} avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. Elohim invents a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals in the category of Set in category theory. Chapter \textbf{13} examines modal responses to the alethic paradoxes. Elohim provides a counter-example to epistemic closure for logical deduction. Chapter \textbf{14} examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

The aim of this paper is to focus on certain characterizations of “I think” and the “transcendental subject” in an attempt to verify a connection with certain metaphysical characterizations of the thinking subject that Kant introduced in the critical period. Most importantly, two distinct meanings of “I think” need be distinguished: (1) in the Transcendental Deduction “I think” is the act of apperception; (2) in the Transcendental Deduction and in the section of Paralogisms “I think” is taken (...) in its representational nature. It proves helpful to interpret the “transcendental subject” in formal terms as a concept that, mutatis mutandis, has the same function of the concept of the “transcendental object.”. (shrink)

The paper revisits the rationality principle from the particular perspective of the unity of social sciences. It has been argued that the principle was the unique law of the social sciences and that accordingly there are no deep differences between them (Popper). It has also been argued that the rationality principle was specific to economics as opposed to the other social sciences, especially sociology (Pareto). The paper rejects these opposite views on the grounds that the rationality principle is strictly (...) class='Hi'>metaphysical and does not have the logical force required to deliver interesting deductions. Explanation in the social sciences takes place at a level of specialization that is always higher than that of the principle itself. However, what is peculiar about economics is that it specializes the explanatory rational schemes to a degree unparalleled in history and sociology. As a consequence, there is a backward-and-forward move between specific and general formulations of rationality that takes place in economics and has no analogue in the other social sciences. (shrink)