Is the societal-level of analysis sufficient today to understand the values of those in the global workforce? Or are individual-level analyses more appropriate for assessing the influence of values on ethical behaviors across country workforces? Using multi-level analyses for a 48-society sample, we test the utility of both the societal-level and individual-level dimensions of collectivism and individualism values for predicting ethical behaviors of business professionals. Our values-based behavioral analysis indicates that values at the individual-level make a more significant contribution to (...) explaining variance in ethical behaviors than do values at the societal-level. Implicitly, our findings question the soundness of using societal-level values measures. Implications for international business research are discussed. (shrink)

The paper looks at the semantics and ontology of dispositions in the light of recent work on the subject. Objections to the simple conditionals apparently entailed by disposition statements are met by replacing them with so-called 'reduction sentences' and some implications of this are explored. The usual distinction between categorical and dispositional properties is criticised and the relation between dispositions and their bases examined. Applying this discussion to two typical cases leads to the conclusion that fragility is not a real (...) property and that, while both temperature and its bases are, this does not generate any problem of overdetermination. (shrink)

Frankfurt cases are supposed to provide us with counterexamples to the principle of alternative possibilities. Among the most well known responses to these cases is what John Fischer has dubbed the flicker of freedom strategy. Here we revisit a version of this strategy, which we refer to as the fine-grained response. Although a number of philosophers, including some who are otherwise unsympathetic to Frankfurt’s argument, have dismissed the fine grained response, we believe there is a good deal to be said (...) on its behalf. We argue, in particular, that reflection on certain cases involving omissions undermines the main objections to the response and also provides the groundwork for an argument in support of it. (shrink)

We argue for three main claims. First, the sentence ‘A and B ought to φ and ψ’ can express what we a call a joint-ought claim: the claim that the plurality A and B ought to φ and ψ respectively. Second, the truth-value of this joint-ought claim can differ from the truth-value of the pair of claims ‘A ought to φ’ and ‘B ought to ψ.’ This is because what A and B jointly ought to do can diverge from what (...) they individually ought to do: it may be true that A and B jointly ought to φ and ψ respectively, yet false that A ought to φ and false that B ought to ψ; and vice-versa. Third, either of two prominent semantic analyses of ‘ought’ – Mark Schroeder’s relational semantics, and Angelika Kratzer’s modal semantics – can model joint-ought claims and this difference in truth-value. (shrink)

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

The adoption of web-based telecare services has raised multifarious ethical concerns, but a traditional principle-based approach provides limited insight into how these concerns might be addressed and what, if anything, makes them problematic. We take an alternative approach, diagnosing some of the main concerns as arising from a core phenomenon of shifting trust relations that come about when the physician plays a less central role in the delivery of care, and new actors and entities are introduced. Correspondingly, we propose an (...) applied ethics of trust based on the idea that patients should be provided with good reasons to trust telecare services, which we call sound trust. On the basis of this approach, we propose several concrete strategies for safeguarding sound trust in telecare. (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.

Many philosophers are impressed by the progress achieved by physical sciences. This has had an especially deep effect on their ontological views: it has made many of them physicalists. Physicalists believe that everything is physical: more precisely, that all entities, properties, relations, and facts are those which are studied by physics or other physical sciences. They may not all agree with the spirit of Rutherford's quoted remark that 'there is physics; and there is stamp-collecting',' but they all grant physical science (...) a unique ontological authority: the authority to tell us what there is. Physicalism is now almost orthodox in much philosophy, notably in much recent philosophy of mind. But although often invoked, it is rarely explicitly defined. It should be. The claim that everything is physical is not as clear as it seems. In this paper, we examine a number of proposed definitions of physicalism and reasons for being a physicalist. We will argue both that physicalism lacks a clear and credible definition, and that in no non-vacuous interpretation is it true. We are concerned here only with physicalism as a doctrine about the empirical world. In particular, it should not be confused with nominalism, the doctrine that there are no universals.2 Nominalism and physicalism are quite independent doctrines. Believers in universals may as consistently assert as deny that the only properties and relations are those studied by physical science. And nominalists may with equal consistency assert or deny that physical science could provide enough predicates to describe the world. That is the question which concerns physicalists, not whether physical predicates name real universals. (We will for brevity write as if they do, but we do not need that assumption.). (shrink)

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)

A retelling of Plato's famous cave allegory. Inspired by Dōgen, Nietzsche, and Wittgenstein.

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)

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)

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)

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)

The current COVID-19 pandemic and the previous SARS/MERS outbreaks of 2003 and 2012 have resulted in a series of major global public health crises. We argue that in the interest of developing effective and safe vaccines and drugs and to better understand coronaviruses and associated disease mechenisms it is necessary to integrate the large and exponentially growing body of heterogeneous coronavirus data. Ontologies play an important role in standard-based knowledge and data representation, integration, sharing, and analysis. Accordingly, we initiated the (...) development of the community-based Coronavirus Infectious Disease Ontology in early 2020. -/- As an Open Biomedical Ontology (OBO) library ontology, CIDO is open source and interoperable with other existing OBO ontologies. CIDO is aligned with the Basic Formal Ontology and Viral Infectious Disease Ontology. CIDO has imported terms from over 30 OBO ontologies. For example, CIDO imports all SARS-CoV-2 protein terms from the Protein Ontology, COVID-19-related phenotype terms from the Human Phenotype Ontology, and over 100 COVID-19 terms for vaccines (both authorized and in clinical trial) from the Vaccine Ontology. CIDO systematically represents variants of SARS-CoV-2 viruses and over 300 amino acid substitutions therein, along with over 300 diagnostic kits and methods. CIDO also describes hundreds of host-coronavirus protein-protein interactions (PPIs) and the drugs that target proteins in these PPIs. CIDO has been used to model COVID-19 related phenomena in areas such as epidemiology. The scope of CIDO was evaluated by visual analysis supported by a summarization network method. CIDO has been used in various applications such as term standardization, inference, natural language processing (NLP) and clinical data integration. We have applied the amino acid variant knowledge present in CIDO to analyze differences between SARS-CoV-2 Delta and Omicron variants. CIDO's integrative host-coronavirus PPIs and drug-target knowledge has also been used to support drug repurposing for COVID-19 treatment. -/- CIDO represents entities and relations in the domain of coronavirus diseases with a special focus on COVID-19. It supports shared knowledge representation, data and metadata standardization and integration, and has been used in a range of applications. (shrink)

There are a number of assumptions made in our accepted psychology of moral decision-making that consequentialism seems to violate:: value connectionism, pluralism and dispositionalism. But consequentialism violates them only on a utilitarian or similar theory of value, not on the rival sort of theory that is sketched here.

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)

Michael Moore’s recent book Mechanical Choices: The Responsibility of the Human Machine is full of rich, insightful discussion of many important issues related to free will and moral responsibility. I will focus on one particular issue raised by Moore: the question of whether we can have control over the past. Moore defends a compatibilist account of moral responsibility on which there are some possible cases in which agents do have such control. But Moore seeks to avoid positing too much control (...) over the past. I will argue that Moore’s attempt is not successful. Furthermore, I will try to show that compatibilists in general face a serious challenge regarding control over the past. In sections 1 and 2 I will explore Moore’s views. In section 3 and 4 I will offer a general argument against compatibilism about moral responsibility and determinism. (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)

Some properties are causally relevant for a certain effect, others are not. In this paper we describe a problem for our understanding of this notion and then offer a solution in terms of the notion of a program explanation.

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)

It is great honor to be even a virtual part of an event to celebrate the work of Leslie Zines, and especially to celebrate it in such august company. Leslie was a colleague that I greatly admired and liked. The disciplinary divide between us was not any bar to affection, though Leslie never let me forget that the constitutional-law terrain was sacred ground on which outsiders ventured at their peril. I particularly enjoyed the way that he, like our mutual, recently (...) departed friend, Paul Finn, gently mocked the pretensions of a philosopher to declaim on topics jurisprudential. I fear I’m going to tread on his ground again in this little paper and I can only beg his, and Paul’s, posthumous indulgence. My topic is the dispersion of power within the state. This ideal has a long history but has ceased to be much celebrated by those who endorse it and has come in for fierce attack among populist opponents. It’s not an exaggeration to say, in Yeats’s words, that on this subject ‘The best lack all conviction, while the worst Are full of passionate intensity’. In this short paper I would like to rehearse reasons why we should warmly endorse the dispersive ideal. And endorse it, regardless of how we dub it: whether, for example, we describe it in a mainly twentieth-century formula, as the separation of powers; in an eighteenth-century antecedent as a regime of checks and balances; in an earlier name that goes back to the Roman Republic as a mixed constitution; or in a term I myself favor as a polycentric arrangement or system. (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.

According to the traditional Christian understanding, being devoted to God is partly constitutive of human welfare. I explicate this tradition view, in three stages. First, I sketch a general theory of well-being which I call ‘Platonic Personalist Perfectionism.’ Second, I show how being devoted to God is uniquely perfective. I discuss three different components of the posture of devotion: abnegation (surrender of one’s will to God), adoration (responding to God’s goodness with attention, love and praise), and existential dependence (receiving one’s (...) self-worth as an unmerited gift from God). All three components of devotion are perfective in a dual way: they are salvific (they remediate a great harm) and consummative (they confer a great benefit). Third, I respond to the objection that devotion involves subjugating oneself, and thus amounts to an all-things-considered harm, notwithstanding whatever benefits it confers. I argue that so long as one’s acts of abnegating, adoring, and existentially depending are acts of one’s own, then subjugation is not essential to devotion. However, devotion does diminish one if the object of one’s devotion is unsuitable. I argue that the only suitable object of devotion is the God of traditional theism. (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)

Angela Mendelovici’s book The Phenomenal Basis of Intentionality is a paradigm-establishing monograph within the phenomenal intentionality research program. Mendelovici argues that extant theories of intentionality that do not appeal to consciousness are both empirically and metaphysically inadequate, and a coherent, consciousness-based alternative can adequately explain (or explain away) all alleged cases of intentionality. While I count myself a fellow traveler, I discuss four choice-points where Mendelovici has taken, I believe, the wrong fork. (1) The explanatory relation that holds between intentional (...) and phenomenal properties is not identity but realization. (2) The mechanism that generates derivatively representational states is not content self-ascription but neural re-wiring. (3) The source of semantic structure within phenomenal-intentional states is not external structure and/or second-order co-instantiation but primitive phenomenal ascription. (4) The mode of presence of contents within phenomenal-intentional states is not being part of a superficial characterization, but being monadically present as an intentional object. (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)

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)

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.

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)

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)

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)

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)

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)

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.

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)