Centred on 'Foams', the third volume of his Spheres trilogy, this article questions the privilege granted by Peter Sloterdijk to motifs of inclusion and exclusion, contending that whilst his prioritization of dwelling as a central aspect of human existence provides a promising counterpoint to the dislocative and isolative effects of post-industrial capitalism, it is compromised by its dependence upon an anti-cosmopolitan outlook that views cultural distantiation as a natural and preferable state of human affairs, and valorizes a purported ontological security (...) attained through defensive postures with respect to perceived foreigners or externalities. Sloterdijk’s conceptualization of culture as a kind of immune system, it is argued, although posited as a rebuke to models of essentialism and ethno-nationalism, provides ontological support to the xenophobic critiques of immigration that are today finding increasing currency. (shrink)

This paper develops a philosophical account of moral disruption. According to Robert Baker (2013), moral disruption is a process in which technological innovations undermine established moral norms without clearly leading to a new set of norms. Here I analyze this process in terms of moral uncertainty, formulating a philosophical account with two variants. On the Harm Account, such uncertainty is always harmful because it blocks our knowledge of our own and others’ moral obligations. On the Qualified Harm Account, there is (...) no harm in cases where moral uncertainty is related to innovation that is “for the best” in historical perspective, or where uncertainty is the expression of a deliberative virtue. The two accounts are compared by applying them to Baker’s historical case of the introduction of mechanical ventilation and organ transplantation technologies, as well as the present-day case of mass data practices in the health domain. (shrink)

Engineers are traditionally regarded as trustworthy professionals who meet exacting standards. In this chapter I begin by explicating our trust relationship towards engineers, arguing that it is a linear but indirect relationship in which engineers “stand behind” the artifacts and technological systems that we rely on directly. The chapter goes on to explain how this relationship has become more complex as engineers have taken on two additional aims: the aim of social engineering to create and steer trust between people, and (...) the aim of creating automated systems that take over human tasks and are meant to invite the trust of those who rely on and interact with them. (shrink)

ABSTRACT Constitutive panpsychism is the doctrine that macro-level consciousness—that is, consciousness of the sort possessed by certain composite things such as humans—is built out of irreducibly mental features had by some or all of the basic physical constituents of reality. On constitutive panpsychism, changes in macro-level consciousness amount to changes in either the way that micro-conscious entities ‘bond’ or the way that micro-conscious qualities ‘blend’. I pose the ‘Selection Problem’ for constitutive panpsychism—the problem of explaining how high-level functional states of (...) the brain ‘select’ micro-conscious qualities for bonding or blending. I argue that there are no empirically plausible solutions to this problem. (shrink)

It is common for social theorists to utilize the metaphors of ‘flow’, ‘fluidity’, and ‘liquidity’ in order to substantiate the ways in which speed and mobility form the basis for a new kind of information or network society. Yet rarely have these concepts been sufficiently theorized in order to establish their relevance or appropriateness. This article contends that the notion of flow as utilized in social theory is profoundly metaphysical in nature, and needs to be judged as such. Beginning with (...) a discussion of the accelerating timescape that characterizes the network society, it will then move on to examine three main issues with this ‘metaphysics of flux’. First, that the concept of flows unjustly privileges the process of becoming and, as a result, is unable to account for the materiality, substantiality, and agency of the objects being mobilized, and the contingency of their mediation. Second, that it posits the accelerating tendencies of capital as an ontological inevitability, thus discounting resistance to such forces. Finally, that it ignores the human faculty for reason and speculative thought in developing alternative means of political praxis. The solution, it will be argued, is not to abandon metaphysical accounts of the network society, but rather to challenge those accounts that, in exhibiting a crude empiricism, work to justify the status quo. (shrink)

In this paper, I develop an account of Frederick Douglass’s use of declaration as an emancipatory mode of political action. An act of declaration compels an audience to acknowledge the declarer as possessing a type of normative standing (e.g. personhood or citizenship). Douglass, through acts of declaration like his Fifth of July speech and fight with the ‘slavebreaker’ Covey, compels American audiences to acknowledge him as a fellow citizen by forcefully enacting a commitment to resist tyranny and oppression. The distinctive (...) emancipatory potential of declaration is grounded in its political epistemology of acknowledgment, on which political actors understand other persons as members of a shared community through the ways in which they comport themselves in relation to one another. Declaration makes political communities more inclusive not only by changing who we understand as fellow members, but how we understand them as such. (shrink)

It is intuitive that free action depends on consciousness in some way, since behavior that is unconsciously generated is widely regarded as un-free. But there is no clear consensus as to what such dependence comes to, in part because there is no clear consensus about either the cognitive role of consciousness or about the essential components of free action. I divide the space of possible views into four: the Constitution View (on which free actions metaphysically consist, at least in part, (...) in phenomenally conscious episodes of a special sort), the Causal-Dependence View (on which free actions are necessarily caused by conscious episodes), the Counterfactaul-Dependence View (on which free actions necessarily counterfactually dependent on conscious episodes of certain types), and the Independence View (on which there are no necessary dependence-relations that hold between free action and conscious episodes). After surveying recent empirical literature that purports to show that consciousness plays a smaller role in generating action than is usually supposed, I conclude that it is plausible that free action depends on consciousness in two ways. First, free action causally depends on consciousness control. Second, free action counterfactually depends on the agent's being responsive to certain reasons. (shrink)

This article examines the ontology and politics of Peter Sloterdijk's Spheres trilogy, focusing in particular upon the notion of microspherical enclosure explicated in the first volume of this series. Noting Sloterdijk's unusual alignment of his philosophy with media theory, three main contentions are put forward. Firstly, that Sloterdijk's reconfiguration of Heidegger's fundamental ontology represents a largely unacknowledged renunciation of the primacy of Being-towards-death in the authentic existence of Dasein, foregrounding instead an originary co-belonging between mother and child. Secondly, that Sloterdijk (...) borrows from media theory a concern regarding the facticity of all communication, grounding philosophical discourse in the determinate locality of its origin, but does so while exalting a pre-natal communicative immediacy that would seem to disparage the everydayness of Dasein. Finally, that Sloterdijk's oft-justified scepticism regarding globalization often retreats into an anti-cosmopolitanism that, in its nostalgia for the comfort, security and immediacy of the matrixial co-belonging, evinces a covert but potentially noxious politics of exclusion. (shrink)

Merleau-Ponty’s relation to Husserl has been understood along a spectrum running from outright repudiation to deep appreciation. The aim of this paper is to clarify a significant and heretofore largely neglected unifying thread connecting Husserl and Merleau-Ponty, while also demonstrating its general philosophical import for phenomenological philosophy. On this account, the details of a programmatic philosophical continuity between these two phenomenologists can be structured around the concept of motivation. Merleau-Ponty sees in Husserl’s concept of motivation a necessary and innovative concept (...) that we must formulate in order to properly theorize the anonymous and passive functioning of “operative intentionality.” Motivation is the principle that bridges this domain with the egoic life of consciousness. Merleau-Ponty’s focus on anonymity, bodily habit, and other facets of operative intentionality are thus not a repudiation of Husserl’s analyses of intentionality, but rather a deepening of the notion of consciousness. I conclude by showing how Merleau-Ponty’s early work on motivation lays the conceptual groundwork for his later rethinking of intentionality in terms of institution, and thus mature ontology of the flesh. (shrink)

I discuss three tiers of technological innovation: mild innovation, or the acceleration by technology of a human activity aimed at a good; moderate innovation, or the obviation by technology of an activity aimed at a good; and radical innovation, or the altering by technology of the human condition so as to change what counts as a good. I argue that it is impossible to morally assess proposed innovations within any of these three tiers unless we rehabilitate a natural-law ethical framework. (...) And I offer some moral starting points within such a framework, in connection with innovations of each of the three types. (shrink)

This article considers Friedrich Kittler’s deterministic media theory as both an appropriation and mutation of Michel Foucault’s archaeological method. Focusing on these two thinkers’ similar but divergent conceptions of the “death of man,” it will be argued that Kittler’s approach attempts to expunge archaeology of its last traces of Kantian transcendentalism by locating the causal agents of epistemic change within the domain of empirical experience, but in doing so, actually amplifies the anthropological vestiges that Foucault hoped to eradicate. The result (...) is an alluring but dogmatically positivist theory of mediatic causality that, in spite of its best efforts, can only reify, rather than dispel, the image of “so-called man.”. (shrink)

The cause of global environmental decline is clear: an immense and rapidly growing human economy. In response, environmentalists should advocate policies leading to fewer people, lower per capita consumption, and less harmful technologies. All three of these must be addressed, not just one instead of the others. That is our best remaining hope to create sustainable societies and preserve what global biodiversity remains. Sharing Earth justly with other species and protecting it for future human generations are achievable goals, but only (...) if we recognize limits to growth, show restraint in both consumption and procreation, replace maximizing thinking with sufficiency thinking, and cultivate gratitude for what we receive from nature. Efficiency cannot take the place of ethics. Cleverness cannot take the place of wisdom. Humanity must learn to recognize and appreciate ‘enough.’. (shrink)

Perry Hendricks’ original impairment argument for the immorality of abortion is based on the impairment principle (TIP): if impairing an organism to some degree is immoral, then ceteris paribus, impairing it to a higher degree is also immoral. Since abortion impairs a fetus to a higher degree than fetal alcohol syndrome (FAS) and giving a fetus FAS is immoral, it follows that abortion is immoral. Critics have argued that the ceteris paribus is not met for FAS and abortion, and so (...) we proposed the Modified Impairment Principle (MIP) to avoid these difficulties. Dustin Crummett has responded, arguing that MIP is open to various counterexamples which show it to be false. He also shows that MIP can generate moral dilemmas. Here, we propose a modification to MIP that resolves the issues Crummett raises. Additionally, Alex Gillham has criticized our appropriation of Don Marquis’ ‘future like ours’ reasoning about the wrongness of impairment. We show that his objections have minimal implications for our argument. (shrink)

Experiments in particle physics have hitherto failed to produce any significant evidence for the many explicit models of physics beyond the Standard Model (BSM) that had been proposed over the past decades. As a result, physicists have increasingly turned to model-independent strategies as tools in searching for a wide range of possible BSM effects. In this paper, we describe the Standard Model Effective Field Theory (SM-EFT) and analyse it in the context of the philosophical discussions about models, theories, and (bottom-up) (...) effective field theories. We find that while the SM-EFT is a quantum field theory, assisting experimentalists in searching for deviations from the SM, in its general form it lacks some of the characteristic features of models. Those features only come into play if put in by hand or prompted by empirical evidence for deviations. Employing different philosophical approaches to models, we argue that the case study suggests not to take a view on models that is overly permissive because it blurs the lines between the different stages of the SM-EFT research strategies and glosses over particle physicists' motivations for undertaking this bottom-up approach in the first place. Looking at EFTs from the perspective of modelling does not require taking a stance on some specific brand of realism or taking sides in the debate between reduction and emergence into which EFTs have recently been embedded. (shrink)

Both Philip and Andrew are philosophy students whose interests converge around the philosophy of technology broadly understood. Philip's interest is specifically aimed toward the ethics of Transhumanism and depictions of Transhumanism in works of fiction. On the other hand, Andrew finds himself more focused on religious behavior in the technological world. While the two perspectives might not seem that close, there is certain to be an overlap in Andrew and Philip's shared understanding of how technological phenomena play (...) a crucial role concerning religion and society. (shrink)

Examining the concept of ‘hyper-chaos’ - a time beyond time, not of perpetual becoming, but of lawless creation and destruction, premised upon an abandonment of the principle of sufficient reason - as described in the work of French philosopher Quentin Meillassoux, this article contends that Meillassoux is unable to coherently posit the principle of unreason upon which his philosophy hinges.

We introduce the topic of panpsychism, before briefly outlining the 19 essays on panpsychism containing in this special issue.

Focusing principally on the once-feted philosophical movement of object-oriented ontology (OOO), this article examines the ways in which this movement fits into a broader “speculative turn,” which seeks to reverse the purportedly wrongheaded emphasis of post-Kantian critical philosophy upon the finitude of the subject and to once again unleash the fecund potentialities of speculative thought. Identifying several incongruities and tensions that traverse this project, it is argued that OOO exemplifies the difficulties faced when attempting to articulate a decidedly pre-critical metaphysics.

Introductory Chapter to the _Cambridge Handbook of Situated Cognition_ (CUP, 2009).

ABSTRACT Many of our common-sense moral judgments seemingly imply the existence of moral luck. I attempt to avoid moral luck while retaining most of these judgments. I defend a view on which agents have moral equality of opportunity. This allows us to account for our anti-moral-luck intuitions at less cost than has been previously recognized.

The article presents a pluralistic model of value change, emphasizing the interplay between technology and societal values. It critiques the Simple Change Model, which suggests a uniform transition from one dominant value scheme to another, arguing instead for emergent and differential value change. Emergent value change occurs when new values arise within specific contexts without displacing existing ones, often influenced by generational experiences with technology and niches where new technologies are introduced. Differential value change highlights how distinct groups may adopt (...) different value schemes based on their unique contexts and experiences, sometimes leading to societal polarization and the need to reconcile incompatible value schemes. The article stresses the importance of individual experiences of ethical uncertainty and disruption in understanding these changes. By integrating these complexities, the model offers a rich, non-deterministic framework for analyzing how values evolve in response to technological advancements. (shrink)

Cognitivists about intention hold that intending to do something entails believing you will do it. Non-cognitivists hold that intentions are conative states with no cognitive component. I argue that both of these claims are true. Intending entails the presence of a belief, even though the intention is not even partly the belief. The result is a form of what Sarah Paul calls Non-Inferential Weak Cognitivism, a view that, as she notes, has no prominent defenders.

It used to be thought that rational coherence and metaphysical possibility went hand in hand. Kripke and Putnam put a spanner in the works by proposing examples of propositions which seem to violate this principle. I will propose a nuanced form of modal rationalism consistent with the Kripke/putnam cases. The rough idea is that rational coherence entails possibility when you grasp the essential nature of what you’re conceiving of.

The concept of freedom as non-domination that is associated with neo-republican theory provides a guiding ideal in the global, not just the domestic arena, and does so even on the assumption that there will continue to be many distinct states. It argues for a world in which states do not dominate members of their own people and, considered as a corporate body, no people is dominated by other agencies: not by other states and not, for example, by any international agency (...) or multi-national corporation. This ideal is not only attractive in the abstract, it also supports a concrete range of sensible, if often radical international policies. (shrink)

This paper has two goals: (1) to defend a particular response to the problem of resultant moral luck and (2) to defend the claim that we are only responsible for what we could have avoided. Cases of overdetermination threaten to undermine the claim that we are only responsible for what we could have avoided. To deal with this issue, I will motivate a particular way of responding to the problem of resultant moral luck. I defend the view that one's degree (...) of responsibility is immune to moral luck but the scope of events for which one is responsible is subject to moral luck. I will then argue that this view allows us to explain away certain intuitions about responsibility and overdetermination (as well as similar intuitions regarding Frankfurt Cases). As a result, the claim that we are only responsible for what we could have avoided becomes significantly more plausible. (shrink)

A theory of the first-person plural occupies a unique place in philosophical investigations into intersubjectivity and social cognition. In order for the referent of the first-person plural—“the We”—to come into existence, it seems there must be a shared ground of communicative possibility, but this requires a non-circular explanation of how this ground could be shared in the absence of a pre-existing context of communicative conventions. Margaret Gilbert’s and John Searle’s theories of collective intentionality capture important aspects of the We, but (...) fail to fully account for this shared ground of communicative possibility. This paper argues that Merleau-Ponty’s concept of intercorporeity helps reconcile the positive aspects of these accounts while also explaining how the genesis of the social world is continuous with perceptual life in general. This enables an account of the first-person plural as dependent on reciprocal communicative interaction without the need to posit a primitive or primordial “we-mode” of consciousness. “Intercorporeity” designates a bodily openness to others that is not fundamentally different in kind from the general style of bodily comportment found in Merleau-Ponty’s rich analyses of perceptual life. (shrink)

Strong claims have been made for emergence as a new paradigm for understanding science, consciousness, and religion. Tracing the past history and current definitions of the concept, Clayton assesses the case for emergent phenomena in the natural world and their significance for philosophy and theology. Complex emergent phenomena require irreducible levels of explanation in physics, chemistry and biology. This pattern of emergence suggests a new approach to the problem of consciousness, which is neither reducible to brain states nor proof of (...) a mental substance or soul. Although emergence does not entail classical theism, it is compatible with a variety of religious positions. Clayton concludes with a defence of emergentist panentheism and a Christian constructive theology consistent with the new sciences of emergence. (shrink)

In PI 189, Wittgenstein's interlocutor asks, ‘But are the steps then not determined by the algebraic formula?’. Wittgenstein responds, ‘The question contains a mistake’. What is the mistake contained in the interlocutor's question? Wittgenstein's elaboration is neither explicit nor its intended upshot transparent. In this paper, I offer a reading on which the interlocutor's question arises from illicitly crossing different pictures of ‘determination’. I begin by working through Wittgenstein's machine analogy in PI 193, which illustrates picture‐crossing in our ways of (...) talking about a machine. Using the lessons from this analogy, I show how the interlocutor's ‘mistake’ can be diagnosed in similar terms: their confusion about the power of a rule to determine its applications rests on mistakenly crossing a behavioural and a mathematical sense of ‘determine’—thereby concocting a mystifying picture of rule‐following. (shrink)

Many have offered accounts of the procreative asymmetry, the claim that one has no moral reason to create a life just because it would be happy, but one has moral reason not to create a life just because it would be miserable. I suggest a new approach. Instead of looking at the procreative asymmetry on its own, we can situate it within a broader landscape of asymmetries. Specifically, there are two other analogous asymmetries in the prudential and epistemic domains. The (...) prudential asymmetry says that one has no prudential reason to acquire a desire just because it would be satisfied, but one has prudential reason not to acquire a desire just because it would be frustrated. The epistemic asymmetry says that one has no epistemic reason to acquire a belief just because it is true, but one has epistemic reason not to acquire a belief just because it is false. The existence of these analogous asymmetries in these normative domains suggests the possibility of a unified account of all three asymmetries as instances of a more fundamental asymmetry of value-based reasons. This paper develops a working model of what such a unified account might look like. Such an account can give us a unified explanation of a variety of phenomena, reinforce the plausibility of each of these asymmetries, and give us a novel picture of how value gives us reasons that might extend beyond these three applications. (shrink)

Many philosophers maintain that the ability to do otherwise is compatible with comprehensive divine foreknowledge but incompatible with the truth of causal determinism. But the Fixity of the Past principle underlying the rejection of compatibilism about the ability to do otherwise and determinism appears to generate an argument also for the incompatibility of the ability to do otherwise and divine foreknowledge. By developing an account of ability that appeals to the notion of explanatory dependence, we can replace the Fixity of (...) the Past with a principle that does not generate this difficulty. I develop such an account and defend it from objections. I also explore some of the account's implications, including whether the account is consistent with presentism. (shrink)

Russellianism is the view that the meaning of a proper name is the individual designated by the name. Together with other plausible assumptions, Russellianism entails the following: Sentences containing proper names express Russellian propositions, which involve the individual designated by the name as a direct constituent, and which can be represented as sets of individuals and properties. Moreover, as they occur in ordinary belief reports, ‘that’-clauses designate Russellian propositions. Such belief reports are true if and only if the subject of (...) the belief report bears the belief relation to the proposition designated by the ‘that’-clause. In defending this doctrine, some Russellians appeal to propositional guises, which, roughly speaking, are ways of grasping propositions. However, some Russellians don’t appeal to such entities. In this paper, I explain the varieties of Russellianism and then argue for Modest Russellianism: Believing a Russellian proposition is essentially mediated by guises, so that an agent can’t believe a Russellian proposition without standing in some appropriate relation to both the proposition and a guise. Nonetheless, guises don’t feature in the semantics of ordinary belief reports, so that an adequate account of the meaning of such belief reports needn’t invoke guises. (shrink)

Panentheism is best understood as a philosophical research program. Identifying the core of the research program offers a strong response to the demarcation objection. It also helps focus both objections to and defenses of panentheism — and to show why common objections are not actually criticisms of the position we are defending. The paper also addresses two common criticisms: the alleged inadequacy of panentheism’s double “in” specification of the relationship between God and world, and the “double God” objection. Once the (...) research program framework is in place, topics like these become opportunities for panentheists to engage in the kind of careful constructive work in theology and philosophy — historical, analytic, and systematic — that is required for making long-term, positive contributions to our field. (shrink)

I show that Wittgenstein's critique of G.H. Hardy's mathematical realism naturally extends to Paul Benacerraf's influential paper, ‘Mathematical Truth’. Wittgenstein accuses Hardy of hastily analogizing mathematical and empirical propositions, thus leading to a picture of mathematical reality that is somehow akin to empirical reality despite the many puzzles this creates. Since Benacerraf relies on that very same analogy to raise problems about mathematical ‘truth’ and the alleged ‘reality’ to which it corresponds, his major argument falls prey to the same critique. (...) The problematic pictures of mathematical reality suggested by Hardy and Benacerraf can be avoided, according to Wittgenstein, by disrupting the analogy that gives rise to them. I show why Tarskian updates to our conception of ‘truth’ discussed by Benacerraf do not answer Wittgenstein's concerns. That is, because they merely presuppose what Wittgenstein puts into question, namely, the essential uniformity of ‘truth’ and ‘proposition’ in ordinary discourse. (shrink)

This paper sets out an account of trust in AI as a relationship between clinicians, AI applications, and AI practitioners in which AI is given discretionary authority over medical questions by clinicians. Compared to other accounts in recent literature, this account more adequately explains the normative commitments created by practitioners when inviting clinicians’ trust in AI. To avoid committing to an account of trust in AI applications themselves, I sketch a reductive view on which discretionary authority is exercised by AI (...) practitioners through the vehicle of an AI application. I conclude with four critical questions based on the discretionary account to determine if trust in particular AI applications is sound, and a brief discussion of the possibility that the main roles of the physician could be replaced by AI. (shrink)

A person presented with adequate but not conclusive evidence for a proposition is in a position voluntarily to acquire a belief in that proposition, or to suspend judgment about it. The availability of doxastic options in such cases grounds a moderate form of doxastic voluntarism not based on practical motives, and therefore distinct from pragmatism. In such cases, belief-acquisition or suspension of judgment meets standard conditions on willing: it can express stable character traits of the agent, it can be responsive (...) to reasons, and it is compatible with a subjective awareness of the available options. (shrink)

In this chapter, we consider ethical and philosophical aspects of trust in the practice of medicine. We focus on trust within the patient-physician relationship, trust and professionalism, and trust in Western (allopathic) institutions of medicine and medical research. Philosophical approaches to trust contain important insights into medicine as an ethical and social practice. In what follows we explain several philosophical approaches and discuss their strengths and weaknesses in this context. We also highlight some relevant empirical work in the section on (...) trust in the institutions of medicine. It is hoped that the approaches discussed here can be extended to nursing and other topics in the philosophy of medicine. (shrink)

Modern health data practices come with many practical uncertainties. In this paper, I argue that data subjects’ trust in the institutions and organizations that control their data, and their ability to know their own moral obligations in relation to their data, are undermined by significant uncertainties regarding the what, how, and who of mass data collection and analysis. I conclude by considering how proposals for managing situations of high uncertainty might be applied to this problem. These emphasize increasing organizational flexibility, (...) knowledge, and capacity, and reducing hazard. (shrink)

This paper argues for a Husserlian account of phenomenal intentionality. Experience is intentional insofar as it presents a mind-independent, objective world. Its doing so is a matter of the way it hangs together, its having a certain structure. But in order for the intentionality in question to be properly understood as phenomenal intentionality, this structure must inhere in experience as a phenomenal feature. Husserl’s concept of horizon designates this intentionality-bestowing experiential structure, while his concept of motivation designates the unique phenomenal (...) character of this structure as it is experientially lived through. The way experience hangs together is itself a phenomenal feature of experience. (shrink)

I explore several issues raised in John Martin Fischer’s Our Fate: Essays on God and Free Will. First I discuss whether an approach to the problem of freedom and foreknowledge that appeals directly to the claim that God’s beliefs depend on the future is importantly different from Ockhamism. I suggest that this dependence approach has advantages over Ockhamism. I also argue that this approach gives us good reason to reject the claim that the past is fixed. Finally, I discuss Fischer’s (...) proposal regarding God’s knowledge of future contingents. I suggest that it may be able to secure comprehensive foreknowledge. (shrink)

With respect to the metaphysics of infinity, the tendency of standard debates is to either endorse or to deny the reality of ‘the infinite’. But how should we understand the notion of ‘reality’ employed in stating these options? Wittgenstein’s critical strategy shows that the notion is grounded in a confusion: talk of infinity naturally takes hold of one’s imagination due to the sway of verbal pictures and analogies suggested by our words. This is the source of various philosophical pictures that (...) in turn give rise to the standard metaphysical debates: that the mathematics of infinity corresponds to a special realm of infinite objects, that the infinite is profoundly huge or vast, or that the ability to think about infinity reveals mysterious powers in human beings. First, I explain Wittgenstein’s general strategy for undermining philosophical pictures of ‘the infinite’ – as he describes it in Zettel; and then show how that critical strategy is applied to Cantor’s diagonalization proof in Remarks on the Foundations of Mathematics II. (shrink)