In this essay, we consider the formal and ontological implications of one specific and intensely contested dialectical context from which Deleuze’s thinking about structural ideal genesis visibly arises. This is the formal/ontological dualism between the principles, ἀρχαί, of the One (ἕν) and the Indefinite/Unlimited Dyad (ἀόριστος δυάς), which is arguably the culminating achievement of the later Plato’s development of a mathematical dialectic.3 Following commentators including Lautman, Oskar Becker, and Kenneth M. Sayre, we argue that the duality of the One and (...) the Indefinite Dyad provides, in the later Plato, a unitary theoretical formalism accounting, by means of an iterated mixing without synthesis, for the structural origin and genesis of both supersensible Ideas and the sensible particulars which participate in them. As these commentators also argue, this duality furthermore provides a maximally general answer to the problem of temporal becoming that runs through Plato’s corpus: that of the relationship of the flux of sensory experiences to the fixity and order of what is thinkable in itself. Additionally, it provides a basis for understanding some of the famously puzzling claims about forms, numbers, and the principled genesis of both attributed to Plato by Aristotle in the Metaphysics, and plausibly underlies the late Plato’s deep considerations of the structural paradoxes of temporal change and becoming in the Parmenides, the Sophist, and the Philebus. After extracting this structure of duality and developing some of its formal, ontological, and metalogical features, we consider some of its specific implications for a thinking of time and ideality that follows Deleuze in a formally unitary genetic understanding of structural difference. These implications of Plato’s duality include not only those of the constitution of specific theoretical domains and problematics, but also implicate the reflexive problematic of the ideal determinants of the form of a unitary theory as such. We argue that the consequences of the underlying duality on the level of content are ultimately such as to raise, on the level of form, the broader reflexive problem of the basis for its own formal or meta-theoretical employment. We conclude by arguing for the decisive and substantive presence of a proper “Platonism” of the Idea in Deleuze, and weighing the potential for a substantive recuperation of Plato’s duality in the context of a dialectical affirmation of what Deleuze recognizes as the “only” ontological proposition that has ever been uttered. This is the proposition of the univocity of Being, whereby “being is said in the same sense, everywhere and always,” but is said (both problematically and decisively) of difference itself. (shrink)

These remarks take up the reflexive problematics of Being and Nothingness and related texts from a metalogical perspective. A mutually illuminating translation is posited between, on the one hand, Sartre’s theory of pure reflection, the linchpin of the works of Sartre’s early period and the site of their greatest difficulties, and, on the other hand, the quasi-formalism of diagonalization, the engine of the classical theorems of Cantor, Gödel, Tarski, Turing, etc. Surprisingly, the dialectic of mathematical logic from its inception through (...) the discovery of the diagonal theorems can be recognized as a particularly clear instance of the drama of reflection according to Sartre, especially in the positing and overcoming of its proper value-ideal, viz. the synthesis of consistency and completeness. Conversely, this translation solves a number of systematic problems about pure reflection’s relations to accessory reflection, phenomenological reflection, pre-reflective self-consciousness, conversion, and value. Negative foundations, the metaphysical position emerging from this translation between existential philosophy and metalogic, concurs by different paths with Badiou’s Being and Event in rejecting both ontotheological foundationalisms and constructivist antifoundationalisms. (shrink)

From my ongoing "Metalogical Plato" project. The aim of the diagram is to make reasonably intuitive how the Socratic elenchos (the logic of refutation applied to candidate formulations of virtues or ruling knowledges) looks and works as a whole structure. This is my starting point in the project, in part because of its great familiarity and arguable claim to being the inauguration of western philosophy; getting this point less wrong would have broad and deep consequences, including for philosophy’s self-understanding. -/- (...) (i.) is the first pass at elenchos in which the Socratic interlocutor does not reflect on knowledge being the crux of the problem. (ii.) is the second, rarer, reflective pass in which they are, making the investigation explicitly about knowledge. Its centrality in the Charmides makes that neglected dialogue of superlative importance. This structure is also the gateway through which the discussion/dialectic crosses into the Agathology (discussion of the form of the good) at Republic 505. -/- The problem of elenchos, then, grasped as a whole structure, is that it seems that knowledge can neither satisfactorily be included in nor excluded from its own scope. The development of the ti esti (“what is ---?”) question leads to the introduction of knowledge into its own scope (i. implicitly, as goodness contrasted with blind rule-following ii. explicitly qua knowledge) while the development of the dual peri tinos (“----about what?) question leads to K’s elimination from its own scope. The introductions are motivated to avoid contradiction, but produce regress; the eliminations are motivated to avoid regress, but produce contradiction. In scholarship, and in the history of philosophy, the ti esti question is universally recognized, to the point of being identified with philosophy’s origin and essence; the peri tinos question is neglected textually and never recognized as the equal dual to the ti esti. This, I claim, has blocked the development of a nontrivial logical appreciation of what Plato's Socrates is up to. (One rather disastrous effect of this neglect is taking Aristotle as the beginning of the development of logic, rather than, correctly, for the beginning of logic’s fatal separation from mathematics and dialectic.) -/- Further, because of this monopticism of the ti esti, the function of consistency in the elenchos has not been understood, even with respect to the ti esti. The ti esti is actually in search of completeness, given a norm of consistency; the peri tinos is in search of consistency, given a norm of completeness. Only appreciating the two questions as dual allows space in the structure to clarify these different orientations relative to consistency. (And, dually, to completeness, whose function in the elenchos is generally entirely missed by scholars and relegated to discussions of eros; it's not out of place there, of course, but its significance is secured here.) Recognizing the duality of the ti esti and peri tinos questions is thus the royal road, in the Socratic-Platonic context, to catching sight of what we post-Cantorians can recognize as the metalogical duality of consistency and completeness. (The salutary disruptive effects of this Plato-Cantor proximity have, of course, been traced in complementary ways by Badiou.) -/- Note that the diagram is supposed to provide a relatively accessible orientation, not to stand on its own, and certainly not to be the last word on any subject. An important qualification (telegraphed in the previous paragraph) is that what elenchos shows is not finally circular or paradoxical, though the problem first presents as such (stubbornly, obdurately, as "difficult" Plato's Socrates always says with characteristic understatement). What is depicted here is meant, at a first pass, to be the shape of that first presentation, the form of the problem of elenchos, rather than of its solution. It's not an accident that this problem strongly resembles "Russell's paradox" (not Russell's not a paradox.) Problem is to solution as RP is to the diagonal theorems. (shrink)

We are sceptical of concerns over the opacity of algorithmic decision tools. While transparency and explainability are certainly important desiderata in algorithmic governance, we worry that automated decision-making is being held to an unrealistically high standard, possibly owing to an unrealistically high estimate of the degree of transparency attainable from human decision-makers. In this paper, we review evidence demonstrating that much human decision-making is fraught with transparency problems, show in what respects AI fares little worse or better and argue that (...) at least some regulatory proposals for explainable AI could end up setting the bar higher than is necessary or indeed helpful. The demands of practical reason require the justification of action to be pitched at the level of practical reason. Decision tools that support or supplant practical reasoning should not be expected to aim higher than this. We cast this desideratum in terms of Daniel Dennett’s theory of the “intentional stance” and argue that since the justification of action for human purposes takes the form of intentional stance explanation, the justification of algorithmic decisions should take the same form. In practice, this means that the sorts of explanations for algorithmic decisions that are analogous to intentional stance explanations should be preferred over ones that aim at the architectural innards of a decision tool. (shrink)

John Hyman explores central problems in philosophy of action and the theory of knowledge, and connects these areas of enquiry in a new way. His approach to the dimensions of human action culminates in an original analysis of the relation between knowledge and rational behaviour, which provides the foundation for a new theory of knowledge itself.

Do we know what we're doing, and why? Psychological research seems to suggest not: reflection and self-awareness are surprisingly uncommon and inaccurate. John M. Doris presents a new account of agency and responsibility, which reconciles our understanding of ourselves as moral agents with empirical work on the unconscious mind.

Kant’s philosophy of science takes on sharp contour in terms of his interaction with the practicing life scientists of his day, particularly Johann Blumenbach and the latter’s student, Christoph Girtanner, who in 1796 attempted to synthesize the ideas of Kant and Blumenbach. Indeed, Kant’s engagement with the life sciences played a far more substantial role in his transcendental philosophy than has been recognized hitherto. The theory of epigenesis, especially in light of Kant’s famous analogy in the first Critique, posed crucial (...) questions regarding the ‘looseness of fit’ between the constitutive and the regulative in Kant’s theory of empirical law. A detailed examination of Kant’s struggle with epigenesis between 1784 and 1790 demonstrates his grave reservations about its hylozoist implications, leading to his even stronger insistence on the discrimination of constitutive from regulative uses of reason. The continuing relevance of these issues for Kant’s philosophy of science is clear from the work of Buchdahl and its contemporary reception. (shrink)

The danger of human operators devolving responsibility to machines and failing to detect cases where they fail has been recognised for many years by industrial psychologists and engineers studying the human operators of complex machines. We call it “the control problem”, understood as the tendency of the human within a human–machine control loop to become complacent, over-reliant or unduly diffident when faced with the outputs of a reliable autonomous system. While the control problem has been investigated for some time, up (...) to this point its manifestation in machine learning contexts has not received serious attention. This paper aims to fill that gap. We argue that, except in certain special circumstances, algorithmic decision tools should not be used in high-stakes or safety-critical decisions unless the systems concerned are significantly “better than human” in the relevant domain or subdomain of decision-making. More concretely, we recommend three strategies to address the control problem, the most promising of which involves a complementary coupling between highly proficient algorithmic tools and human agents working alongside one another. We also identify six key principles which all such human–machine systems should reflect in their design. These can serve as a framework both for assessing the viability of any such human–machine system as well as guiding the design and implementation of such systems generally. (shrink)

Practical reasoning is a process of reasoning that concludes in an intention. One example is reasoning from intending an end to intending what you believe is a necessary means: 'I will leave the next buoy to port; in order to do that I must tack; so I'll tack', where the first and third sentences express intentions and the second sentence a belief. This sort of practical reasoning is supported by a valid logical derivation, and therefore seems uncontrovertible. A more contentious (...) example is normative practical reasoning of the form 'I ought to φ, so I'll φ', where 'I ought to φ' expresses a normative belief and 'I'll φ' an intention. This has at least some characteristics of reasoning, but there are also grounds for doubting that it is genuine reasoning. One objection is that it seems inappropriate to derive an intention to φ from a belief that you ought to φ, rather than a belief that you ought to intend to φ. Another is that you may not be able to go through this putative process of reasoning, and this inability might disqualify it from being reasoning. A third objection is that it violates the Humean doctrine that reason alone cannot motivate any action of the will. This paper investigates these objections. (shrink)

The leading hypothesis concerning the “reuse” or “recycling” of neural circuits builds on the assumption that evolution might prefer the redeployment of established circuits over the development of new ones. What conception of cognitive architecture can survive the evidence for this hypothesis? In particular, what sorts of “modules” are compatible with this evidence? I argue that the only likely candidates will, in effect, be the columns which Vernon Mountcastle originally hypothesized some 60 years ago, and which form part of the (...) well-known columnar hypothesis in neuroscience—systems that cannot handle gross cognitive functions as distinct from strictly exiguous subfunctions. This is in stark contrast to the modules postulated by much of cognitive psychology, cognitive neuropsychology, and evolutionary psychology. And yet the fate of this revised notion is unclear. The main issue confronting it is the effect of the neural network context on local function. At some point the effects of context are so strong that the degree of specialization required for modularity is not able to be met. Still, despite indications from neuroimaging that peripheral and central systems deploy shared circuitry, some skills clearly do seem to display modularization and autonomy. This article: provides an in-depth analytical and historical review of the fortunes of modular thinking in cognitive science; offers a systematic calibration of brain regions in terms of degrees of functional specificity and robustness; and suggests another way of accounting for the partially encapsulated character of expertise and other highly practiced skills without having to resort to domain-specific modules. (shrink)

The past two decades have witnessed a revival of interest in multiple realization and multiply realized kinds. Bechtel and Mundale’s (1999) illuminating discussion of the subject must no doubt be credited with having generated much of this renewed interest. Among other virtues, their paper expresses what seems to be an important insight about multiple realization: that unless we keep a consistent grain across realized and realizing kinds, claims alleging the multiple realization of psychological kinds are vulnerable to refutation. In this (...) paper I argue that, intuitions notwithstanding, the terms of their recommendation make it impossible to follow, while also misleadingly insinuating that its application virtually guarantees mind-brain identity. Instead of a matching of grains, what multiple realization really requires is a principled method for adjudicating upon differences between tokens. Shapiro’s (2000) work on multiple realization can be understood as an attempt to adumbrate just such a method. While his “causal relevance” criterion can easily be mistaken for Bechtel and Mundale’s grain requirement, my analysis reveals exactly where and why these two tests diverge. (shrink)

Modularity is a fundamental doctrine in the cognitive sciences. It holds a preeminent position in cognitive psychology and generative linguistics, as well as a long history in neurophysiology, with roots going all the way back to the early nineteenth century. But a mature field of neuroscience is a comparatively recent phenomenon and has challenged orthodox conceptions of the modular mind. One way of accommodating modularity within the new framework suggested by these developments is to go for increasingly soft versions of (...) modularity. One such version, which I call the “system” view, is so soft that it promises to meet practically any challenge neuroscience can throw at it. In this paper, I reconsider afresh what we ought to regard as the sine qua non of modularity and offer a few arguments against the view that an insipid “system” module could be the legitimate successor of the traditional notion. (shrink)

This exploration of the global structure of spacetime within the context of general relativity examines the causal and singular structures of spacetime, revealing some of the curious possibilities that are compatible with the theory, such as `time travel' and `holes' of various types. Investigations into the epistemic and modal structures of spacetime highlight the difficulties in ruling out such possibilities, unlikely as they may seem at first. The upshot seems to be that what counts as a `physically reasonable' spacetime structure (...) in modern physics is far from clear. (shrink)

Evidence of the pervasiveness of neural reuse in the human brain has forced a revision of the standard conception of modularity in the cognitive sciences. One persistent line of argument against such revision, however, cites the evidence of cognitive dissociations. While this article takes the dissociations seriously, it contends that the traditional modular account is not the best explanation. The key to the puzzle is neural redundancy. The article offers both a philosophical analysis of the relation between reuse and redundancy (...) as well as a plausible solution to the problem of dissociations. (shrink)

G. E. Moore famously observed that to assert ‘I went to the pictures last Tuesday but I do not believe that I did’ would be ‘absurd’. Moore calls it a ‘paradox’ that this absurdity persists despite the fact that what I say about myself might be true. Krista Lawlor and John Perry have proposed an explanation of the absurdity that confines itself to semantic notions while eschewing pragmatic ones. We argue that this explanation faces four objections. We give a (...) better explanation of the absurdity both in assertion and in belief that avoids our four objections. (shrink)

The conflict between Kant and the medical faculty was far more complex and substantial than is indicated in the section of his famous Conflict of the Faculties addressing this matter. In this essay I will consider not only what Kant, as a philoso­pher, thought of medicine as a faculty, but what medicine as a faculty thought of Kant as a philosopher.

The conflict between Kant and the medical faculty was far more complex and substantial than is indicated in the section of his famous Conflict of the Faculties addressing this matter. In this essay I will consider not only what Kant, as a philoso­pher, thought of medicine as a faculty, but what medicine as a faculty thought of Kant as a philosopher.

Gareth Evans, one of the most brilliant philosophers of his generation, died in 1980 at the age of thirty-four. He had been working for many years on a book about reference, but did not complete it before his death. The work was edited for publication by John McDowell, who contributes a Preface.

A primary goal of clinical practice is to respect patient autonomy. To promote this goal for patients who have lost the ability to make their own decisions, commentators recommend that surrogates make their treatment decisions based on the substituted judgment standard. This standard is commonly interpreted as directing surrogates to make the decision the patient would have made in the circumstances, if the patient were competent. However, recent commentators have argued that this approach—attempting to make the decision the patient would (...) have made if competent—is theoretically problematic, practically infeasible, and ignores the interests of the patient9s family and loved ones. These commentators conclude that the substituted judgment standard should be revised significantly, or abandoned altogether. While this response would avoid the cited problems, it also would require substantial changes to clinical practice and would raise significant problems of its own. The present paper thus considers the possibility that the criticisms do not point to problems with the substituted judgment standard itself; instead, they point to problems with the way it is most commonly interpreted. This analysis suggests that the substituted judgment standard need not be dramatically revised or abandoned. Instead, it should be interpreted in a way that effectively promotes respect for the autonomy of incompetent patients. The ‘endorsed life’ interpretation described here helps clinicians and surrogates to achieve this important goal. To clarify this approach, we explain how it differs from three other recently proposed alternatives to the standard interpretation of the substituted judgment standard. (shrink)

In “Causality and Determination,” Anscombe rejects the two received opinions on the nature of causality in the modern philosophical tradition. She rejects the Humean conception of universal generalization based on the constant conjunction in experience of cause and effect, and she also rejects the notion that causality entails a necessary connection between cause and effect. As an alternative, she suggests that the core notion of causality is one of the derivativeness of the effect from the cause. Her consideration of causality (...) ranges generally over all types of causality, but I believe that the most significant implication of her position is in application to the causality of human action. In this paper, I will articulate what I take to be that position. (shrink)

In “Causality and Determination,” Anscombe rejects the two received opinions on the nature of causality in the modern philosophical tradition. She rejects the Humean conception of universal generalization based on the constant conjunction in experience of cause and effect, and she also rejects the notion that causality entails a necessary connection between cause and effect. As an alternative, she suggests that the core notion of causality is one of the derivativeness of the effect from the cause. Her consideration of causality (...) ranges generally over all types of causality, but I believe that the most significant implication of her position is in application to the causality of human action. In this paper, I will articulate what I take to be that position. (shrink)

Collected here in a single volume for the first time, On Liberty, Utilitarianism, Considerations on Representative Government, and The Subjection of Women show Mill applying his liberal utilitarian philosophy to a range of issues that remain vital today - issues of the nature of ethics, the scope and limits of individual liberty, the merits of and costs of democratic government, and the place of women in society. In his Introduction John Gray describes these essays as applications of Mill's doctrine (...) of the Art of Life, as set out in A System of Logic. Using the resources of recent revisionist scholarship, he shows Mill's work to be far richer and subtler than traditional interpretations allow. (shrink)

Catholic moral philosophy requires an absolute prohibition against the direct killing of innocents. In this paper I consider some examples of justified actionswhich involve the killing of innocent persons and will present them as cases about which I am confident many others will share the same intuitions. I willthen try to show what conditions apply in such cases that justify those intuitions. I will argue that their justification is in accordance with a modified version of theFinnis, Grisez, Boyle interpretation of (...) the doctrine of double effect; it defends their interpretation of what is direct versus indirect in cases of double effect, and meets the proportionality condition in a way suggested by Philippa Foot regarding the virtues of justice and charity. (shrink)

_ Source: _Page Count 9 Robert Doran claims that the sublime is all about transcendence transferred from the religious to the aesthetic domain of experience. Taken in this philosophical rather than stylistic sense, it proved crucial for the development of modern subjectivity. Doran traces the issue from Longinus through the decisive reception of Nicolas Boileau, who first distinguished le sublime from le style sublime, on to an extended engagement with Immanuel Kant. In all this he seeks its place in the (...) rise of the modern bourgeois subject. The social-historical connections tend to be a bit overstated, first, with regard to Boileau and the idea of the honnête homme, and especially with the claim that “Burke treats aesthetic concepts as proxies for sociopolitical categories.” It is not fruitful for an understanding of Kant, either. This weakens his powerful argument for the philosophical significance of the sublime in modern thought. (shrink)

Epigenesis has become a far more exciting issue in Kant studies recently, especially with the publication of Jennifer Mensch’s Kant’ Organicism. In my commentary, I propose to clarify my own position on epigenesis relative to that of Mensch by once again considering the discourse of epigenesis in the wider eighteenth century. In order to situate more precisely what Kant made of it in his own thought, I distinguish the metaphysical use Kant made of epigenesis from his rejection of its aptness (...) as a theory for life science. In that light, I raise questions about the scope and authority of philosophy vis à vis natural science. (shrink)

Epigenesis has become a far more exciting issue in Kant studies recently, especially with the publication of Jennifer Mensch’s Kant’ Organicism. In my commentary, I propose to clarify my own position on epigenesis relative to that of Mensch by once again considering the discourse of epigenesis in the wider eighteenth century. In order to situate more precisely what Kant made of it in his own thought, I distinguish the metaphysical use Kant made of epigenesis from his rejection of its aptness (...) as a theory for life science. In that light, I raise questions about the scope and authority of philosophy vis à vis natural science. (shrink)

Herder's Naturalist Aesthetics, by ZuckertRachel. Cambridge, UK: Cambridge University Press, 2019. Pp. 276.

The principle of "organism"—of intrinsic and dynamic unity—and the existence of "organized bodies"—of living things—in the physical world represented crucial preoccupations for philosophers of nature and experimental naturalists across the eighteenth century. How to make sense of these in a manner consistent with a unified scientific understanding of the physical world became the inevitable challenge that accompanied these recognitions. In just this theoretical enterprise, Leibniz emerges to historical scrutiny as an indispensable and pervasive influence. Thus, we are very fortunate to (...) have the body of scholarship that François Duchesneau has devoted to this topic over the course of his illustrious career. In this... (shrink)

Evidentialism is generally taken to be a position which is not friendly to a religious epistemology. However, in this paper, I will argue for a religious epistemology which is compatible with fundamental tenets of an evidentialist position on epistemic justification. It is a position which entails both a “will to believe” which goes beyond the standard evidentialist principles governing the appropriate doxastic attitude towards a proposition, but nonetheless satisfies epistemic principles at the basis of an evidentialist position on justification. If (...) my argument is successful, a proponent of a conception of religious faith may be able to have her cake and eat it too: namely, she may be able to fundamentally accept both the evidentialist demand that epistemically rational belief fit, or be supported by evidence as well as the position that rational faith is willing belief beyond what one’s evidence strictly demands. (shrink)

In his Inductive Inference and Its Natural Ground: An Essay in Naturalistic Epistemology, Hilary Kornblith presents an argument for the justification of induction that is bold, brilliant, and plausible, but radically incomplete. In the development of this position, Kornblith relies heavily on the philosophical work of Richard Boyd as well as on some empirical psychological studies. As Kornblith sees it, the philosophical position entailed by his proposed solution to the problem is a thoroughgoing, realistic, scientific materialism. I will argue that (...) the brand of realism that Kornblith’s solution to the problem of induction presupposes is inexplicable within the context of the non-reductive materialism that he espouses. Although Kornblith provides us with valuable elements for a solution to the problem of induction, it needs to be supplemented with something like a renovated Aristotelian notion of form in order for the solution to be plausible. (shrink)

Dietrich von Hildebrand’s treatise The Nature of Love is set in relation to the theological personalism of the Cappadocian fathers of the Church, and to my own earlier work done in this tradition. Several points of divergence are explored, especially points concerning von Hildebrand’s claim that love exists as a response to the beauty of the beloved person. God’s love for human beings does not always seem to fit the paradigm of value-response; His love seems to be creative of beauty (...) in us rather than to respond to already existing beauty. But at the same time, the deep kinship of von Hildebrand’s personalism with that of the Cappadocian fathers is stressed; he is at one with them in affirming the heart as distinct from the intellect, in affirming love as the supreme act of the person, and in affirming the place of beauty in the existence of persons. (shrink)