While it seems to be evident that the vision of the eternal return of the same is the solution to the riddle mentioned in "On the vision and the riddle," exactly what constitutes the riddle is anything but clear. Li ke all good riddles the solution demands a paradigm shift. Nietzsche's riddle is solved by a radical rethinking of the concept of time, from a straight line to a circle. I give a detailed account of how Nietzsche's riddle is formulated (...) in such a way tha t the eternal return of the same is the only possible solution. (shrink)

Angell's logic of analytic containment AC has been shown to be characterized by a 9-valued matrix NC by Ferguson, and by a 16-valued matrix by Fine. We show that the former is the image of a surjective homomorphism from the latter, i.e., an epimorphic image. The epimorphism was found with the help of MUltlog, which also provides a tableau calculus for NC extended by quantifiers that generalize conjunction and disjunction.

In recent years, theorists have debated how we introduce new social objects and kinds into the world. Searle, for instance, proposes that they are introduced by collective acceptance of a constitutive rule; Millikan and Elder that they are the products of reproduction processes; Thomasson that they result from creator intentions and subsequent intentional reproduction; and so on. In this chapter, I argue against the idea that there is a single generic method or set of requirements for doing so. Instead, there (...) is a variety of what I call “anchoring schemas,” or methods by which new social kinds are generated. Not only are social kinds a diverse lot, but the metaphysical explanation for their being the kinds they are is diverse as well. I explain the idea of anchoring and present examples of social kinds that are similar to one another but that are anchored in different ways. I also respond to Millikan’s argument that there is only one kind of “glue” that is “sticky enough” for holding together kinds. I argue that no anchoring schema will work in all environments. It is a contingent matter which schemas are successful for anchoring new social kinds, and an anchoring schema need only be “sticky enough” for practical purposes in a given environment. (shrink)

It is often seen as a truism that social objects and facts are the product of human intentions. I argue that the role of intentions in social ontology is commonly overestimated. I introduce a distinction that is implicit in much discussion of social ontology, but is often overlooked: between a social entity’s “grounds” and its “anchors.” For both, I argue that intentions, either individual or collective, are less essential than many theorists have assumed. Instead, I propose a more worldly – (...) and less intellectualist – approach to social ontology. (shrink)

Individualists about social ontology hold that social facts are “built out of” facts about individuals. In this paper, I argue that there are two distinct kinds of individualism about social ontology, two different ways individual people might be the metaphysical “builders” of the social world. The familiar kind is ontological individualism. This is the thesis that social facts supervene on, or are exhaustively grounded by, facts about individual people. What I call anchor individualism is the alternative thesis that facts about (...) individuals put in place the conditions for a social entity to exist, or the conditions for something to have a social property. Examples include conventionalist theories of the social world, such as David Hume’s theories of promises, money, and government, and collective acceptance theories, such as John Searle’s theory of institutional facts. Anchor individualism is often conflated with ontological individualism. But in fact, the two theses are in tension with one another: if one of these kinds of individualism is true, then the other is very unlikely to be. My aim in this paper is to clarify both, and argue that they should be sharply distinguished from one another. (shrink)

This analysis shows Cantor's diagonal definition in his 1891 paper was not compatible with his horizontal enumeration of the infinite set M. The diagonal sequence was a counterfeit which he used to produce an apparent exclusion of a single sequence to prove the cardinality of M is greater than the cardinality of the set of integers N.

The recent emergence of machine-manipulated media raises an important societal question: How can we know whether a video that we watch is real or fake? In two online studies with 15,016 participants, we present authentic videos and deepfakes and ask participants to identify which is which. We compare the performance of ordinary human observers with the leading computer vision deepfake detection model and find them similarly accurate, while making different kinds of mistakes. Together, participants with access to the model’s prediction (...) are more accurate than either alone, but inaccurate model predictions often decrease participants’ accuracy. To probe the relative strengths and weaknesses of humans and machines as detectors of deepfakes, we examine human and machine performance across video-level features, and we evaluate the impact of preregistered randomized interventions on deepfake detection. We find that manipulations designed to disrupt visual processing of faces hinder human participants’ performance while mostly not affecting the model’s performance, suggesting a role for specialized cognitive capacities in explaining human deepfake detection performance. -/- . (shrink)

The article aims to substantiate the philosophy of synthesis, which is built on the basis of analysis, but gives it a constructive direction. The turning point from analysis to synthesis is the problematization of the elements identified in the analysis, their criticism, replacement, or rearrangement, leading to the construction of alternative concepts and propositions that expand the field of the thinkable and innovate the categorical apparatus of philosophy. This article provides examples of philosophical synthesis at different levels: alternative terms and (...) concepts (“infinition”), postulates (the “diamond rule” in ethics), and disciplines (“horrology” as the study of the self-destructive mechanisms of civilization). Next, we consider the transition from the philosophy of synthesis to the synthesis of philosophy itself with contemporary scientific and technical practices. Technology of the 21st century is no longer instrumental/utilitarian, but a fundamental technology ("onto–technology"), which, thanks to science’s penetration into the micro- and macrocosm, can change the foundational parameters of being, thereby acquiring a philosophical dimension. Accordingly, philosophy as a study of the most general principles of the universe becomes a practical requirement in any “world-forming,” synthesizing acts of technology, including the design of computer games and multi-populated virtual worlds (e.g., “Second Life”), that involve a new ontology, logic, ethics, and axiology. The vocation of philosophy in the 21st century is not just to comprehend our unique world, but to lay the foundations for new world-forming practices, to initiate and design the ontology of possible worlds, and to pave the way for alternative forms of synthetic life and artificial intelligence. Contrary to Hegel, philosophy is no longer the “owl of Minerva” taking flight at dusk, but a skylark proclaiming the dawn of a new creative day. -/- . (shrink)

This article seeks the origin, in the theories of Ibn al-Haytham (Alhazen), Descartes, and Berkeley, of two-stage theories of spatial perception, which hold that visual perception involves both an immediate representation of the proximal stimulus in a two-dimensional ‘‘sensory core’’ and also a subsequent perception of the three dimensional world. The works of Ibn al-Haytham, Descartes, and Berkeley already frame the major theoretical options that guided visual theory into the twentieth century. The field of visual perception was the first area (...) of what we now call psychology to apply mathematics, through geometrical models as used by Euclid, Ptolemy, Ibn al-Haytham, and Descartes (among others). The article shows that Kepler’s discovery of the retinal image, which revolutionized visual anatomy and entailed fundamental changes in visual physiology, did not alter the basic structure of theories of spatial vision. These changes in visual physiology are advanced especially in Descartes' Dioptrics and his L'Homme. Berkeley develops a radically empirist theory vision, according to which visual perception of depth is learned through associative processes that rely on the sense of touch. But Descartes and Berkeley share the assertion that there is a two-dimensional sensory core that is in principle available to consciousness. They also share the observation that we don't usually perceived this core, but find depth and distance to be phenomenally immediate, a point they struggle to accommodate theoretically. If our interpretation is correct, it was not a change in the theory of the psychology of vision that engendered the idea of a sensory core, but rather the introduction of the theory into a new metaphysical context. (shrink)

When is a belief justified? There are three families of arguments we typically use to support different accounts of justification: arguments from our intuitive responses to vignettes that involve the concept; arguments from the theoretical role we would like the concept to play in epistemology; and arguments from the practical, moral, and political uses to which we wish to put the concept. I focus particularly on the third sort, and specifically on arguments of this sort offered by Clayton Littlejohn in (...) Justification and the Truth-Connection and Amia Srinivasan in ‘Radical Externalism’ : 395–431, 2018) in favour of externalism. I counter Srinivasan’s argument in two ways: first, I show that the internalist’s concept of justification might figure just as easily in the sorts of structural explanation Srinivasan thinks our political goals require us to give; and I argue that the internalist’s concept is needed for a particular political task, namely, to help us build more effective defences against what I call epistemic weapons. I conclude that we should adopt an Alstonian pluralism about the concept of justification. (shrink)

In his insightful and challenging paper, Jonathan Schaffer argues against a distinction I make in The Ant Trap (Epstein 2015) and related articles. I argue that in addition to the widely discussed “grounding” relation, there is a different kind of metaphysical determination I name “anchoring.” Grounding and anchoring are distinct, and both need to be a part of full explanations of how facts are metaphysically determined. Schaffer argues instead that anchoring is a species of grounding. The crux of his (...) argument comes in the last sections of his paper, in his discussion of “exportation,” the relations strategy, and the definitions strategy. I am inclined to agree that Schaffer’s interesting strategies offer the best choices for the philosopher who wants to insist that anchoring is a species of grounding. But both, I will argue, are fatally flawed. I do not take the separation of anchors from grounds lightly, but find the evidence in its favor overwhelming. And once the distinction is made, I find anchoring to be a powerful practical tool in metaphysics. Philosophy and Phenomenological Research, Volume 99, Issue 3, Page 768-781, November 2019. (shrink)

This paper examines Steve Biko’s distinction between black and non-white as a project in the “amelioration” of social concepts and categories. Biko himself—it has been persuasively argued by Mabogo More and Lewis Gordon—writes in the tradition of existential phenomenology. More and Gordon explore Biko’s continuity with Frantz Fanon, and in this paper I draw on their interpretations, attempting to complement and elaborate on these continuities. I also, however, attempt to show how Biko moves beyond Fanon in crucial ways, solving problems (...) that Fanon confronted. By examining Fanon’s and Biko’s categories in light of recent work in social metaphysics, I explore the ways Biko attempts to transform an existing set of oppressive social categories in the world into new social categories. (shrink)

In this critical review I explore the anti-intentionalist stance Adorno offers in his aesthetics, specifically focusing on his Notes to Literature, and the internal limits to this stance. Adorno rejects the primacy of authorial intentionalism: The presuppositions of its aesthetic methodology, he claims, place the individual in a position of epistemic priority, without exploring the social totalities which constitute the conditions of the presentation of aesthetic knowledge by any such individual. The role of the creator for Adorno is inherently mediated (...) within the context of such totalities. -/- This is not to wholly discount the role of creative intentions, however. Rather, Adorno frames the artist as a ‘bearer’ and a ‘representative of the total social subject’. In this context he allows for a qualified form of subjectivity, construed as a mode of creativity produced by a particular kind of “achieved self-awareness” or disposition of consciousness towards an “estrangement of meaning”. Indeed, the loss of the stronger presupposition that the subject acts as an authentic expository force can lead to a realization that objectivity by this means constitutes a “loss”, Adorno claims, which creates the possibility for pursuing a critical stance to facilitate the capacity for creating autonomous works of art. Creators of autonomous works acknowledge “the paradoxical relationship of the autonomous work to its commodity character” (‘Valery’s Deviations’), namely an awareness of their inherent reification. The self-alienating yet autonomous work is described by Adorno as possessing and demonstrating tacit yet genuine ‘wants’, but this is framed by the demands of the human condition to recognize how ill-fitting the forces of social production are upon and towards securing them. Aesthetic intentions and the subjects which channel them can be critically valuable if they allude to or exposit the contradictions between these demands and those forces. (shrink)

In this brief essay, I argue that Anselm's ontological argument for the existence of God achieves its effect through the verbal equivalent of a magician's "sleight-of-hand." More technically, the argument commits the informal fallacy of equivocation. I provide a brief analysis of the argument's text to demonstrate this.

In this paper, we attempt to show that if Plantinga’s free will defence succeeds, his O Felix Culpa theodicy fails. For if every creaturely essence suffers from transworld depravity, then given that Jesus has a creaturely essence (as we attempt to show), it follows that Incarnation and Atonement worlds cannot be actualized by God, in which case we have anything but a felix culpa.

Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue that (...) number words, like many related expressions, are polymorphic, having multiple uses whose meanings are systematically related via type shifting. (shrink)

In this paper, we outline and critically evaluate Thomas Hofweber’s solution to a semantic puzzle he calls Frege’s Other Puzzle. After sketching the Puzzle and two traditional responses to it—the Substantival Strategy and the Adjectival Strategy—we outline Hofweber’s proposed version of Adjectivalism. We argue that two key components—the syntactic and semantic components—of Hofweber’s analysis both suffer from serious empirical difficulties. Ultimately, this suggests that an altogether different solution to Frege’s Other Puzzle is required.

So-called 'Frege cases' pose a challenge for anyone who would hope to treat the contents of beliefs (and similar mental states) as Russellian propositions: It is then impossible to explain people's behavior in Frege cases without invoking non-intentional features of their mental states, and doing that seems to undermine the intentionality of psychological explanation. In the present paper, I develop this sort of objection in what seems to me to be its strongest form, but then offer a response to it. (...) I grant that psychological explanation must invoke non-intentional features of mental states, but it is of crucial importance which such features must be referenced. -/- It emerges from a careful reading of Frege's own view that we need only invoke what I call 'formal' relations between mental states. I then claim that referencing such 'formal' relations within psychological explanation does not undermine its intentionality in the way that invoking, say, neurological features would. The central worry about this view is that either (a) 'formal' relations bring narrow content in through back door or (b) 'formal' relations end up doing all the explanatory work. Various forms of each worry are discussed. The crucial point, ultimately, is that the present strategy for responding to Frege cases is not available either to the 'psycho-Fregean', who would identify the content of a belief with its truth-value, nor even to someone who would identify the content of a belief with a set of possible worlds. It requires the sort of rich semantic structure that is distinctive of Russellian propositions. There is therefore no reason to suppose that the invocation of 'formal' relations threatens to deprive content of any work to do. (shrink)

Nietzsche announces his intentions to publish a “physiology of aesthetics”, namely a naturalistic explanation for how aesthetic judgements are grounded in the physiology of both the one experiencing the work, and the creator of it. But as well as the physiological reduction of aesthetic judgements, Nietzsche in many places across his oeuvre frames the apparatus of physiology, especially the prescriptive dimension of self-cultivation, in terms amenable to being treated as ‘aesthetic’. The first section will mount a (re-) defense of the (...) use of aestheticized language for discussing Nietzschean self-cultivation. The second section demonstrates an aesthetic evaluation of capacities that make possible the acquisition and removal of instinctual components, ultimately arguing for Nietzsche’s qualified indeterminism regarding the capacity for self-cultivation. The third section will assess the pres- ence of another aesthetic measure, this time in terms of envisaging one’s psycho-physiology by reference to an external spectacle. The final section discusses metaethical questions stemming from Nietzsche’s prescriptive language regarding the aestheticization of our physiology. (shrink)

In this paper we compare Kierkegaard’s and Marx’s views on social reform. Then we argue that Kierkegaard’s own reasoning is consistent with the expression of neighbor-love through collective action, i.e. social reform. However, Kierkegaard’s approach to social reform would be vastly different than Marx’s. We end by reviewing several questions that Kierkegaardian social reformers would ask themselves. Our hope is that this exploration will provide helpful insights into how those who genuinely love their neighbors ought to seek the common good (...) through collective action. (shrink)

Priest has provided a simple tableau calculus for Chellas's conditional logic Ck. We provide rules which, when added to Priest's system, result in tableau calculi for Chellas's CK and Lewis's VC. Completeness of these tableaux, however, relies on the cut rule.

The thesis of methodological individualism in social science is commonly divided into two different claims—explanatory individualism and ontological individualism. Ontological individualism is the thesis that facts about individuals exhaustively determine social facts. Initially taken to be a claim about the identity of groups with sets of individuals or their properties, ontological individualism has more recently been understood as a global supervenience claim. While explanatory individualism has remained controversial, ontological individualism thus understood is almost universally accepted. In this paper I argue (...) that ontological individualism is false. Only if the thesis is weakened to the point that it is equivalent to physicalism can it be true, but then it fails to be a thesis about the determination of social facts by facts about individual persons. Even when individualistic facts are expanded to include people’s local environments and practices, I shall argue, those still underdetermine the social facts that obtain. If true, this has implications for explanation as well as ontology. I first consider arguments against the local supervenience of social facts on facts about individuals, correcting some flaws in existing arguments and affirming that local supervenience fails for a broad set of social properties. I subsequently apply a similar approach to defeat a particularly weak form of global supervenience, and consider potential responses. Finally, I explore why it is that people have taken ontological individualism to be true. (shrink)

Longtermism is the view that the most urgent global priorities, and those to which we should devote the largest portion of our resources, are those that focus on (i) ensuring a long future for humanity, and perhaps sentient or intelligent life more generally, and (ii) improving the quality of the lives that inhabit that long future. While it is by no means the only one, the argument most commonly given for this conclusion is that these interventions have greater expected goodness (...) per unit of resource devoted to them than each of the other available interventions, including those that focus on the health and well-being of the current population. In this paper, I argue that, even if we grant the consequentialist ethics upon which this argument depends, and even if we grant one of the axiologies that are typically paired with that ethics to give the argument, we are not morally required to choose an option that maximises expected utility; indeed, we might not even be permitted to do so. Instead, I will argue, if the argument's consequentialism is correct, we should choose using a decision theory that is sensitive to risk, and allows us to give greater weight to worse-case outcomes than expected utility theory does. And, I will show, such decision theories do not always recommend longtermist interventions. Indeed, sometimes, they recommend exactly the opposite: sometimes, they recommend hastening human extinction. Many, though not all, will take this as a reductio of the consequentialism or the axiology of the argument. I remain agnostic on the conclusion we should draw. (shrink)

Frege begins his discussion of factives in ‘On Sense and Reference’ with an example of a purported contrafactive, that is, a verb that entails, or presupposes, the falsity of the complement sentence. But the verb he cites, ‘wähnen’, is now obsolete, and native speakers are sceptical about whether it really was a contrafactive. Despite the profusion of factive verbs, there are no clear examples of contrafactive propositional attitude verbs in English, French or German. This paper attempts to give an explanation (...) of this, and to use this to shed light on the behaviour of factives more generally. The suggestion is that factive propositional attitude verbs take facts, not propositions, as the referents of their complement sentences; and that as there are no contra-facts, there can be no contra-factives. This claim is also used to help explain Timothy Williamson's observation that there is no stative propositional attitude factive that requires only belief. Various conclusions are drawn within a broadly ‘knowledge first’ approach. (shrink)

Epistemologists who study credences have a well-developed account of how you should change them when you learn new evidence; that is, when your body of evidence grows. What's more, they boast a diverse range of epistemic and pragmatic arguments that support that account. But they do not have a satisfactory account of when and how you should change your credences when you become aware of possibilities and propositions you have not entertained before; that is, when your awareness grows. In this (...) paper, I consider the arguments for the credal epistemologist's account of how to respond to evidence, and I ask whether they can help us generate an account of how to respond to awareness growth. The results are surprising: the arguments that all support the same norms for responding to evidence growth support a number of different norms when they are applied to awareness growth. Some of these norms seem too weak, others too strong. I ask what we should conclude from this, and argue that our credal response to awareness growth is considerably less rigorously constrained than our credal response to new evidence. (shrink)

to appear in Lambert, E. and J. Schwenkler (eds.) Transformative Experience (OUP) -/- L. A. Paul (2014, 2015) argues that the possibility of epistemically transformative experiences poses serious and novel problems for the orthodox theory of rational choice, namely, expected utility theory — I call her argument the Utility Ignorance Objection. In a pair of earlier papers, I responded to Paul’s challenge (Pettigrew 2015, 2016), and a number of other philosophers have responded in similar ways (Dougherty, et al. 2015, Harman (...) 2015) — I call our argument the Fine-Graining Response. Paul has her own reply to this response, which we might call the Authenticity Reply. But Sarah Moss has recently offered an alternative reply to the Fine-Graining Response on Paul’s behalf (Moss 2017) — we’ll call it the No Knowledge Reply. This appeals to the knowledge norm of action, together with Moss’ novel and intriguing account of probabilistic knowledge. In this paper, I consider Moss’ reply and argue that it fails. I argue first that it fails as a reply made on Paul’s behalf, since it forces us to abandon many of the features of Paul’s challenge that make it distinctive and with which Paul herself is particularly concerned. Then I argue that it fails as a reply independent of its fidelity to Paul’s intentions. (shrink)

Frege held that referring expressions in general, and demonstratives and indexicals in particular, contribute more than just their reference to what is expressed by utterances of sentences containing them. Heck first attempts to get clear about what the essence of the Fregean view is, arguing that it rests upon a certain conception of linguistic communication that is ultimately indefensible. On the other hand, however, he argues that understanding a demonstrative (or indexical) utterance requires one to think of the object denoted (...) in an appropriate way. This fact makes it difficult to reconcile the view that referring expressions are "directly referential" with any view that seeks (as Grice's does) to ground meaning in facts about communication. (shrink)

Some years ago, Machery, Mallon, Nichols, and Stich reported the results of experiments that reveal, they claim, cross-cultural differences in speaker’s ‘intuitions’ about Kripke’s famous Gödel–Schmidt case. Several authors have suggested, however, that the question they asked their subjects is ambiguous between speaker’s reference and semantic reference. Machery and colleagues have since made a number of replies. It is argued here that these are ineffective. The larger lesson, however, concerns the role that first-order philosophy should, and more importantly should not, (...) play in the design of such experiments and in the evaluation of their results. (shrink)

An investigation of what Frege means by his doctrine that functions (and so concepts) are 'unsaturated'. We argue that this doctrine is far less peculiar than it is usually taken to be. What makes it hard to understand, oddly enough, is the fact that it is so deeply embedded in our contemporary understanding of logic and language. To see this, we look at how it emerges out of Frege's confrontation with the Booleans and how it expresses a fundamental difference between (...) Frege's approach to logic and theirs. (shrink)

A recurring theme dominates recent philosophical debates about the nature of conscious perception: naïve realism’s opponents claim that the view is directly contradicted by empirical science. I argue that, despite their current popularity, empirical arguments against naïve realism are fundamentally flawed. The non-empirical premises needed to get from empirical scientific findings to substantive philosophical conclusions are ones the naïve realist is known to reject. Even granting the contentious premises, the empirical findings do not undermine the theory, given its overall philosophical (...) commitments. Thus, contemporary empirical research fails to supply any new argumentative force against naïve realism. I conclude that, as philosophers of mind, we would be better served spending a bit less time trying to wield empirical science as a cudgel against our opponents, and a bit more time working through the implications of each other’s views – something we can accomplish perfectly well from the comfort of our armchairs. (shrink)

Written in 2002/2003 while I was a graduate student at the University of Connecticut and ultimately submitted as part of my qualifying exam for the Master Degree in philosophy. I argue that the causal relation is observable even if the necessity of the connection is not. This version (the only one that remains) was prepared for presentation at the New Jersey Regional Philosophy Association.

Orthodox semantics for natural language modals give rise to two puzzles for their interactions with disjunction: Ross’s puzzle and the puzzle of free choice permission. It is widely assumed that each puzzle can be explained in terms of the licensing of ‘Diversity’ inferences: from the truth of a possibility or necessity modal with an embedded disjunction, hearers infer that each disjunct is compatible with the relevant set of worlds. I argue that Diversity inferences are too weak to explain the full (...) range of data. Instead, I argue, modals with embedded disjunctions license ‘Independence’ inferences: from the truth of a modal with an embedded disjunction, hearers infer that each disjunct is an independent alternative among the relevant set of worlds. I then develop a bilateral inquisitive semantics for modals that predicts the validity of these Independence inferences. My account vindicates common intuitions about both Ross’s puzzle and the puzzle of free choice permission, and explains the full range of data. (shrink)

If a Zen Master kills a kitten, and does not hear its scream, does it make a sound? In this essay, I use the Zen story of Master Nansen's killing of a kitten as an entree into a reflection on the Zen experience of enlightenment. I argue that the story of Nansen and the cat, as presented in the Zen tradition, raises many questions and problems that must be resolved if we are to envision the enlightenment experience in a clear (...) way. (shrink)

As is well-known, the formal system in which Frege works in his Grundgesetze der Arithmetik is formally inconsistent, Russell’s Paradox being derivable in it.This system is, except for minor differ...

Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had many partial (...) successes, and generated important advances in logical theory and metatheory, both at the time and since. The article discusses the historical background and development of Hilbert’s program, its philosophical underpinnings and consequences, and its subsequent development and influences since the 1930s. (shrink)

David Rosenthal explains conscious mentality in terms of two independent, though complementary, theories—the higher-order thought (“HOT”) theory of consciousness and quality-space theory (“QST”) about mental qualities. It is natural to understand this combination of views as constituting a kind of representationalism about experience—that is, a version of the view that an experience’s conscious character is identical with certain of its representational properties. At times, however, Rosenthal seems to resist this characterization of his view. We explore here whether and to what (...) extent it makes sense to construe Rosenthal’s views as representationalist. Our goal is not merely terminological—discerning how best to use the expression ‘representationalism’. Rather, we argue that understanding Rosenthal’s account as a kind of representationalism permits us not only to make sense of broader debates within the philosophy of mind, but also to extend and clarify aspects of the view itself. (shrink)

According to Tye's PANIC theory of consciousness, perceptual states of creatures which are related to a disjunction of external contents will fail to represent sensorily, and thereby fail to be conscious states. In this paper I argue that heat perception, a form of perception neglected in the recent literature, serves as a counterexample to Tye's radical externalist claim. Having laid out Tye's absent qualia scenario, the PANIC theory from which it derives and the case of heat perception as a counterexample, (...) I defend the putative counterexample against three possible responses: (1) that heat perception represents general (i.e. non-disjunctive) intrinsic properties of objects, (2) that heat perception represents the non-specific heat energy that is transferred between a subject's body and another body and (3) that heat perception exclusively represents heat properties of the subjects own body. (shrink)

Discusses Frege's formal definitions and characterizations of infinite and finite sets. Speculates that Frege might have discovered the "oddity" in Dedekind's famous proof that all infinite sets are Dedekind infinite and, in doing so, stumbled across an axiom of countable choice.

Some of the most important developments of symbolic logic took place in the 1920s. Foremost among them are the distinction between syntax and semantics and the formulation of questions of completeness and decidability of logical systems. David Hilbert and his students played a very important part in these developments. Their contributions can be traced to unpublished lecture notes and other manuscripts by Hilbert and Bernays dating to the period 1917-1923. The aim of this paper is to describe these results, focussing (...) primarily on propositional logic, and to put them in their historical context. It is argued that truth-value semantics, syntactic ("Post-") and semantic completeness, decidability, and other results were first obtained by Hilbert and Bernays in 1918, and that Bernays's role in their discovery and the subsequent development of mathematical logic is much greater than has so far been acknowledged. (shrink)

Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. (shrink)

By definition, pain is a sensory and emotional experience that is felt in a particular part of the body. The precise relationship between somatic events at the site where pain is experienced, and central processing giving rise to the mental experience of pain remains the subject of debate, but there is little disagreement in scholarly circles that both aspects of pain are critical to its experience. Recent experimental work, however, suggests a public view that is at odds with this conceptualisation. (...) By demonstrating that the public does not necessarily endorse central tenets of the “mental” view of pain (subjectivity, privacy, and incorrigibility), experimental philosophers have argued that the public holds a more “body-centric” view than most clinicians and scholars. Such a discrepancy would have important implications for how the public interacts with pain science and clinical care. In response, we tested the hypothesis that the public is capable of a more “mind-centric” view of pain. Using a series of vignettes, we demonstrate that in situations which highlight mental aspects of pain the public can, and does, recognize pain as a mental phenomenon. We also demonstrate that the public view is subject to context effects, by showing that the public’s view is modified when situations emphasizing mental and somatic aspects of pain are presented together. (shrink)

Much of our information comes to us indirectly, in the form of conclusions others have drawn from evidence they gathered. When we hear these conclusions, how can we modify our own opinions so as to gain the benefit of their evidence? In this paper we study the method known as geometric pooling. We consider two arguments in its favour, raising several objections to one, and proposing an amendment to the other.

Rescorla (Erkenntnis, 2020) has recently pointed out that the standard arguments for Bayesian Conditionalization assume that whenever I become certain of something, it is true. Most people would reject this assumption. In response, Rescorla offers an improved Dutch Book argument for Bayesian Conditionalization that does not make this assumption. My purpose in this paper is two-fold. First, I want to illuminate Rescorla’s new argument by giving a very general Dutch Book argument that applies to many cases of updating beyond those (...) covered by Conditionalization, and then showing how Rescorla’s version follows as a special case of that. Second, I want to show how to generalise R. A. Briggs and Richard Pettigrew’s Accuracy Dominance argument to avoid the assumption that Rescorla has identified (Briggs and Pettigrew in Noûs, 2018). In both cases, these arguments proceed by first establishing a very general reflection principle. (shrink)

David Hilbert's finitistic standpoint is a conception of elementary number theory designed to answer the intuitionist doubts regarding the security and certainty of mathematics. Hilbert was unfortunately not exact in delineating what that viewpoint was, and Hilbert himself changed his usage of the term through the 1920s and 30s. The purpose of this paper is to outline what the main problems are in understanding Hilbert and Bernays on this issue, based on some publications by them which have so far received (...) little attention, and on a number of philosophical reconstructions of the viewpoint (in particular, by Hand, Kitcher, and Tait). (shrink)

Derek Parfit was one of the most important and influential moral philosophers of the late 20th and early 21st centuries. This Element offers a critical introduction to his wide-ranging ethical thought, focusing especially on his two most significant works, Reasons and Persons and On What Matters, and their contribution to the consequentialist moral tradition. Topics covered include: rationality and objectivity, distributive justice, self-defeating moral theories, Parfit's Triple Theory, personal identity, and population ethics.

In this paper, we seek a reliabilist account of justified credence. Reliabilism about justified beliefs comes in two varieties: process reliabilism (Goldman, 1979, 2008) and indicator reliabilism (Alston, 1988, 2005). Existing accounts of reliabilism about justified credence comes in the same two varieties: Jeff Dunn (2015) proposes a version of process reliabilism, while Weng Hong Tang (2016) offers a version of indicator reliabilism. As we will see, both face the same objection. If they are right about what justification is, it (...) is mysterious why we care about justification, for neither of the accounts explains how justification is connected to anything of epistemic value. We will call this the Connection Problem. I begin by describing Dunn’s process reliabilism and Tang’s indicator reliabilism. I argue that, understood correctly, they are, in fact, extensionally equivalent. That is, Dunn and Tang reach the top of the same mountain, albeit by different routes. However, I argue that both face the Connection Problem. In response, I offer my own version of reliabilism, which is both process and indicator, and I argue that it solves that problem. Furthermore, I show that it is also extensionally equivalent to Dunn’s reliabilism and Tang’s. Thus, I reach the top of the same mountain as well. (shrink)

In the 1920s, David Hilbert proposed a research program with the aim of providing mathematics with a secure foundation. This was to be accomplished by first formalizing logic and mathematics in their entirety, and then showing---using only so-called finitistic principles---that these formalizations are free of contradictions. ;In the area of logic, the Hilbert school accomplished major advances both in introducing new systems of logic, and in developing central metalogical notions, such as completeness and decidability. The analysis of unpublished material presented (...) in Chapter 2 shows that a completeness proof for propositional logic was found by Hilbert and his assistant Paul Bernays already in 1917--18, and that Bernays's contribution was much greater than is commonly acknowledged. Aside from logic, the main technical contribution of Hilbert's Program are the development of formal mathematical theories and proof-theoretical investigations thereof, in particular, consistency proofs. In this respect Wilhelm Ackermann's 1924 dissertation is a milestone both in the development of the Program and in proof theory in general. Ackermann gives a consistency proof for a second-order version of primitive recursive arithmetic which, surprisingly, explicitly uses a finitistic version of transfinite induction up to www . He also gave a faulty consistency proof for a system of second-order arithmetic based on Hilbert's &egr;-substitution method. Detailed analyses of both proofs in Chapter 3 shed light on the development of finitism and proof theory in the 1920s as practiced in Hilbert's school. ;In a series of papers, Charles Parsons has attempted to map out a notion of mathematical intuition which he also brings to bear on Hilbert's finitism. According to him, mathematical intuition fails to be able to underwrite the kind of intuitive knowledge Hilbert thought was attainable by the finitist. It is argued in Chapter 4 that the extent of finitistic knowledge which intuition can provide is broader than Parsons supposes. According to another influential analysis of finitism due to W. W. Tait, finitist reasoning coincides with primitive recursive reasoning. The acceptance of non-primitive recursive methods in Ackermann's dissertation presented in Chapter 3, together with additional textual evidence presented in Chapter 4, shows that this identification is untenable as far as Hilbert's conception of finitism is concerned. Tait's conception, however, differs from Hilbert's in important respects, yet it is also open to criticisms leading to the conclusion that finitism encompasses more than just primitive recursive reasoning. (shrink)

We reflect on a decade of Responsible Research and Innovation (RRI) as a discourse emerging from the European Commission (EC) 10 years ago. We discuss the foundations for RRI, its emergence during the Seventh Framework programme and its subsequent evolution during Horizon 2020. We discuss how an original vision for RRI became framed around five so-called ‘keys’: gender, open access, science communication, ethics and public engagement. We consider the prospects for RRI within the context of the EC’s Open Science agenda (...) and Horizon Europe programme, before closing with some reflections on the contribution RRI has made to debates concerning the relationship between science, innovation and society over the last decade. (shrink)

This paper discusses Frege's account of definition by induction in Grundgesetze and the two key theorems Frege proves using it.

This paper formalizes part of the cognitive architecture that Kant develops in the Critique of Pure Reason. The central Kantian notion that we formalize is the rule. As we interpret Kant, a rule is not a declarative conditional stating what would be true if such and such conditions hold. Rather, a Kantian rule is a general procedure, represented by a conditional imperative or permissive, indicating which acts must or may be performed, given certain acts that are already being performed. These (...) acts are not propositions; they do not have truth-values. Our formalization is related to the input/ output logics, a family of logics designed to capture relations between elements that need not have truth-values. In this paper, we introduce KL3 as a formalization of Kant’s conception of rules as conditional imperatives and permissives. We explain how it differs from standard input/output logics, geometric logic, and first-order logic, as well as how it translates natural language sentences not well captured by first-order logic. Finally, we show how the various distinctions in Kant’s much-maligned Table of Judgements emerge as the most natural way of dividing up the various types and sub-types of rule in KL3. Our analysis sheds new light on the way in which normative notions play a fundamental role in the conception of logic at the heart of Kant’s theoretical philosophy. (shrink)