This volume tells the story of the legacy and impact of the great German polymath Gottfried Wilhelm Leibniz (1646-1716). Leibniz made significant contributions to many areas, including philosophy, mathematics, political and social theory, theology, and various sciences. The essays in this volume explores the effects of Leibniz’s profound insights on subsequent generations of thinkers by tracing the ways in which his ideas have been defended and developed in the three centuries since his death. Each of the 11 essays is concerned (...) with Leibniz’s legacy and impact in a particular area, and between them they show not just the depth of Leibniz’s talents but also the extent to which he shaped the various domains to which he contributed, and in some cases continues to shape them today. With essays written by experts such as Nicholas Jolley, Pauline Phemister, and Philip Beeley, this volume is essential reading not just for students of Leibniz but also for those who wish to understand the game-changing impact made by one of history’s true universal geniuses. (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)

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)

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)

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.

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)

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 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)

Husserl introduces a phenomenological concept called “motivation” early in the First Investigation of his magnum opus, the Logical Investigations. The importance of this concept has been overlooked since Husserl passes over it rather quickly on his way to an analysis of the meaningful nature of expression. I argue, however, that motivation is essential to Husserl’s overall project, even if it is not essen- tial for defining expression in the First Investigation. For Husserl, motivation is a relation between mental acts whereby (...) the content of one act make some fur- ther meaningful content probable. I explicate the nature of this relation in terms of “evidentiary weight” and differentiate it from Husserl’s notion of Evidenz, often translated as “self-evidence”. I elucidate the importance of motivation in Husserl’s overall phenomenological project by focusing on his analyses of thing-perception and empathy. Through these examples, we can better understand the continuity between the Logical Investigations and Husserl’s later work. (shrink)

We take ourselves to have an inner life of thought, and we take ourselves to be capable of linguistically expressing our thoughts to others. But what is the nature of this “inner life” of thought? Is conscious thought necessarily carried out in language? This paper takes up these questions by examining Merleau-Ponty’s theory of expression. For Merleau-Ponty, language expresses thought. Thus it would seem that thought must be independent of, and in some sense prior to, the speech that expresses it. (...) He also claims, however, that thinking just is linguistic expression, and thus that language constitutes thought. The primary aim of this paper is to make sense of this constitutive claim while maintaining that, for Merleau-Ponty, there is an inner life of thought that exists independently of linguistic expression, and that this inner life rightly deserves the label “thought”. The upshot of this account is twofold. First, it explains why the mainstream view of Merleau-Ponty’s theory of expression seems plausible, but is ultimately inadequate. Second, it functions as a corrective to contemporary debates about the nature and scope of phenomenal consciousness and the sense in which conscious experience has content. (shrink)

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

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)

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)

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)

This paper brings together several strands of thought from both the analytic and phenomenological traditions in order to critically examine accounts of cognitive enhancement that rely on the idea of cognitive extension. First, I explain the idea of cognitive extension, the metaphysics of mind on which it depends, and how it has figured in recent discussions of cognitive enhancement. Then, I develop ideas from Husserl that emphasize the agential character of thought and the distinctive way that conscious thoughts are related (...) to one another. I argue that these considerations are necessary for understanding why forms of cognitive extension may diminish our cognitive lives in different ways. This does not lead to a categorical rejection of cognitive enhancement as unethical or bad for human flourishing, but does warrant a conservative approach to the design and implementation of cognitive artifacts. (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.

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)

This paper presents an account of empathy as the form of experience directed at embodied unities of expressive movement. After outlining the key differences between simulation theory and the phenomenological approach to empathy, the paper argues that while the phenomenological approach is closer to respecting a necessary constitutional asymmetry between first-personal and second-personal senses of embodiment, it still presupposes a general concept of embodiment that ends up being problematic. A different account is proposed that is neutral on the explanatory role (...) of the first-person sense of embodiment, which leads to an emphasis on the transformative nature of empathy and a broadening of the scope of possible targets of empathic awareness. (shrink)

The orthodox view in contemporary epistemology is that Edmund Gettier refuted the JTB analysis of knowledge, according to which knowledge is justified true belief. In a recent paper Moti Mizrahi questions the orthodox view. According to Mizrahi, the cases that Gettier advanced against the JTB analysis are misleading. In this paper I defend the orthodox view.

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)

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 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.

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)

Philip Villamor rethinks Albert Camus’ famous rock’n’roll parable. Pointing out that Camus' "The Myth of Sisyphus" is a sort of intellectual dishonesty designed to support the idea that one can be happy without the hope of something more than existence, Villamor challenges the idea that "the struggle itself" is enough to make one "happy." Villamor concludes that we must imagine Sisyphus as "hopeful" and "more human.".

The principle of alternative possibilities tells us that an agent is morally responsible for an action only if he could have done otherwise. Frankfurt-style cases provide an extremely influential challenge to the PAP . And Frankfurt-style compatibilists are motivated to accept compatibilism about responsibility and determinism in part due to FSCs. But there is a significant tension between our judgments about responsibility in FSCs and our judgments about responsibility in certain omissions cases. This tension has thus far largely been treated (...) as an internal puzzle for defenders of FSCs to solve. My goal here is to regiment this tension into a clear argument which undermines the FSC based critique of PAP. I will also argue that there is an in principle reason to doubt that Frankfurt-Style Compatibilists will be able to successfully respond to my argument. (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)

According to a traditional view, humans are superior to their non‐human terrestrial companions because they alone are “rational animals.” Although the traditional view is presupposed by our social and legal institutions, it has been called into question by modern science: Darwin himself claimed that humans differ in degree rather than in kind from animals, and recent discoveries in comparative animal cognition have seemed to confirm Darwin's assertion. Sustaining the traditional view in light of these discoveries calls out for a careful (...) comparison of the human mind with its precursors, the vertebrate mind and the mammalian mind. Psychological capacities shared across the animal kingdom are repurposed in humans, rendering humans uniquely capable of rationality. To be rational is to respond appropriately to value. Humans as such are not rational animals, but have the potential to become rational animals. This potential marks a morally relevant difference in kind between humans and non‐human animals. (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)

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)

Technology is a practically indispensible means for satisfying one’s basic interests in all central areas of human life including nutrition, habitation, health care, entertainment, transportation, and social interaction. It is impossible for any one person, even a well-trained scientist or engineer, to know enough about how technology works in these different areas to make a calculated choice about whether to rely on the vast majority of the technologies she/he in fact relies upon. Yet, there are substantial risks, uncertainties, and unforeseen (...) practical consequences associated with the use of technological artifacts and systems. The salience of technological failure (both catastrophic and mundane), as well as technology’s sometimes unforeseeable influence on our behavior, makes it relevant to wonder whether we are really justified as individuals in our practical reliance on technology. Of course, even if we are not justified, we might nonetheless continue in our technological reliance, since the alternatives might not be attractive or feasible. In this chapter I argue that a conception of trust in technological artifacts and systems is plausible and helps us understand what is at stake philosophically in our reliance on technology. Such an account also helps us understand the relationship between trust and technological risk and the ethical obligations of those who design, manufacture, and deploy technological artifacts. (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)

The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity and (...) conservation as the primary guiding principles. The derivation proceeds in three distinct steps. First, conservation and relativity are used to derive the asymptotically conserved quantities of motion. Second, in order that energy and momentum be continuously conserved, the mechanical system is embedded in a larger energetic framework containing a massless component that is capable of bearing energy (as well as momentum in the relativistic case). Imposition of conservation and relativity then results, in the nonrelativistic case, in the conservation of mass and in the frame-invariance of massless energy; and, in the relativistic case, in the rules for transforming massless energy and momentum between frames. Third, a force framework for handling continuously interacting particles is established, wherein Newton’s second law is derived on the basis of relativity and a staccato model of motion-change. Finally, in light of the derivation, we elucidate the structure of mechanics by classifying the principles and assumptions that have been employed according to their explanatory role, distinguishing between symmetry principles and other types of principles (such as compositional principles) that are needed to build up the theoretical edifice. (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)

Husserlian phenomenology, as the study of conscious experience, has often been accused of solipsism. Husserl’s method, it is argued, does not have the resources to provide an account of consciousness of other minds. This chapter will address this issue by providing a brief overview of the multiple angles from which Husserl approached the theme of intersubjectivity, with specific focus on the details of his account of the concrete interpersonal encounter – “empathy.” Husserl understood empathy as a direct, quasi-perceptual form of (...) intentionality through which the sense of the Other is constituted. Furthermore, his account of empathy is holistically integrated with his overall theory of intersubjectivity, including his discussions of the objectivity of nature, and the social, historical, and communal aspects of subjectivity. Husserl’s theory of empathy continues to cast a long shadow, influencing both the analytic and continental approaches to the problem of other minds, as well as contemporary account of social cognition in the cognitive sciences. (shrink)

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

Zombies are bodies without minds: creatures that are physically identical to actual human beings, but which have no conscious experience. Much of the consciousness literature focuses on considering how threatening philosophical reflection on such creatures is to physicalism. There is not much attention given to the converse possibility, the possibility of minds without bodies, that is, creatures who are conscious but whose nature is exhausted by their being conscious. We can call such a ‘purely conscious’ creature a ghost.

This article draws on the antebellum political thought of Black abolitionists Frederick Douglass and Martin Delany in critically assessing the efficacy of reasonableness in advancing the aims of emancipatory politics in political discourse. I argue, through a reading of Douglass and Delany, that comporting oneself reasonably in the face of oppressive ideology can be counterproductive, if one’s aim is to undermine such ideology and the institutions it supports. Douglass and Delany, I argue, also provide us with a framework for evaluating (...) alternative discursive strategies we might wish to employ in light of the limited value of reasonableness for emancipatory politics. (shrink)

In this paper we raise the question whether technological artifacts can properly speaking be trusted or said to be trustworthy. First, we set out some prevalent accounts of trust and trustworthiness and explain how they compare with the engineer’s notion of reliability. We distinguish between pure rational-choice accounts of trust, which do not differ in principle from mere judgments of reliability, and what we call “motivation-attributing” accounts of trust, which attribute specific motivations to trustworthy entities. Then we consider some examples (...) of technological entities that are, at first glance, best suited to serve as the objects of trust: intelligent systems that interact with users, and complex socio-technical systems. We conclude that the motivation-attributing concept of trustworthiness cannot be straightforwardly applied to these entities. Any applicable notion of trustworthy technology would have to depart significantly from the full-blown notion of trustworthiness associated with interpersonal trust. (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)