We present and show topological completeness for LB, the logic of the topological border. LB is also a logic of epistemic ignorance. Also, we present and show completeness for LUT, the logic of unknown truths. A simple topological completeness proof for S4 is also presented using a T1 space.

We introduce an operator to represent the simple notion of being wrong. Read Wp to mean: the agent is wrong about p . Being wrong about p means believing p though p is false. We add this operator to the language of propositional logic and study it. We introduce a canonical model for logics of being wrong, show completeness for the minimal logic of being wrong and various other systems. En route we examine the expressiveness of the language. In conclusion, (...) we discuss an open question regarding K4. (shrink)

In this highly original text, Christopher Steinsvold explores an alternative semantics for logics of rational belief. Topologies, as mathematical objects, are typically interpreted in terms of space; here topologies are re-interpreted in terms of an agent with rational beliefs. The topological semantics tells us that the agent can never, in principle, know everything; that the agent's beliefs can never be complete. -/- A number of completeness proofs are given for a variety of logics of rational belief. Beyond this, (...) the author explores the philosophical question of why our beliefs can never be complete, and considers the possibility that a totality of truths is a dialethia. -/- This work will be of interest to all philosophers interested in epistemology, and modal logicians as well. (shrink)

We show the Boxdot Conjecture holds for a limited but familiar range of Lemmon-Scott axioms. We re-introduce the language of essence and accident, first introduced by J. Marcos, and show how it aids our strategy.

Patrick Grim has presented arguments supporting the intuition that any notion of a totality of truths is incoherent. We suggest a natural semantics for various logics of belief which reflect Grim’s intuition. The semantics is a topological semantics, and we suggest that the condition can be interpreted to reflect Grim’s intuition. Beyond this, we present a natural canonical topological model for K4 and KD4.

Interpreting the diamond of modal logic as the derivative, we present a topological canonical model for extensions of K4 and show completeness for various logics. We also show that if a logic is topologically canonical, then it is relationally canonical.

Given the frequency of human error, it seems rational to believe that some of our own rational beliefs are false. This is the axiom of epistemic modesty. Unfortunately, using standard propositional quantification, and the usual relational semantics, this axiom is semantically inconsistent with a common logic for rational belief, namely KD45. Here we explore two alternative semantics for KD45 and the axiom of epistemic modesty. The first uses the usual relational semantics and bisimulation quantifiers. The second uses a topological semantics (...) and standard propositional quantification. We show the two different semantics validate many of the same formulas, though we do not know whether they validate exactly the same formulas. Along the way we address various philosophical concerns. (shrink)

The Boxdot Conjecture is shown to hold for a novel class of modal systems. Each system in this class is K plus an instance of a natural generalization of the McKinsey axiom. [Note from the editors: This paper was accepted for publication in 2011. It should have been published in 2014. The lateness of the appearance of the article is due entirely to an editorial oversight.].

A message appears on the moon. It is legible from Earth, and almost no one knows how it was created. Markus West leads the government’s investigation to find the creator. -/- The message is simple and familiar. But those three words, written in blazing crimson letters on the lunar surface, will foster the strangest revolution humankind has ever endured and make Markus West wish he was never involved. -/- The message is ‘Drink Diet Coke.’ -/- When Coca-Cola denies responsibility, global (...) annoyance becomes indignation. And when his investigation confirms Coca-Cola’s innocence, Markus West becomes one of the most hated men on Earth. -/- Later, five miles above the White House, a cylinder is discovered floating in the night. It is 400 feet tall, 250 feet in diameter, and exactly resembles a can of Campbell’s Chicken Noodle Soup. Nearly everyone thinks the cylinder is a promotional stunt gone wrong, just like the lunar advertisement. And this is exactly what the alien in the cylinder wants people to think. -/- Ralph, an eccentric extraterrestrial who’s been hiding on the moon, needs Markus’s help to personally deliver a dark warning to the White House. Ralph has a big heart, a fetish for Andy Warhol, and a dangerous plan to save the world. (shrink)

In an age where issues like climate change and the unintended consequences of technological innovation are high on the ethical and political agenda, questions about the nature and extent of our responsibilities to future generations have never been more important, yet simultaneously so difficult to answer. This book takes a unique approach to the problem by drawing on diverse traditions of thinking about care (including developmental psychology, phenomenology and feminist ethics) to explore the nature and meaning of our relationship with (...) the future. Demonstrating that many influential perspectives on intergenerational ethics, including positions advanced by John Rawls, Brian Barry, and Ulrich Beck are undermined by problems relating to uncertainty, it shows that an approach based on care ethics can confront the uncertain future successfully and give a viable account of the nature and scope of future-oriented responsibilities. (shrink)

This book is available either individually, or as part of the specially-priced Arguments of the Philosphers Collection.

Suppose we believe that God created the world. Then surely we want it to be the case that he intended, in some sense at least, to create THIS world. Moreover, most theists want to hold that God didn't just guess or hope that the world would take one course or another; rather, he KNEW precisely what was going to take place in the world he planned to create. In particular, of each person P, God knew that P was to exist. (...) Call this the "standard" conception. Most theists find the standard conception appealing. Unfortunately, the view seems to conflict with the equally appealing idea — call it "temporal actualism" — that there are no "future" individuals beyond those that already exist in the present moment. For, on this view, for any historical person P, prior to creation, there was no such person as P and hence nothing about P for God to know. Hence, in particular, God couldn't have known that P was to exist. This is of course not a new problem. But past solutions to it are highly problematic. In this paper, after canvassing previous approaches, I will propose a solution that seems to preserve both temporal actualism and a suitably robust form of the standard conception while avoiding the pitfalls of the past. (shrink)

Aristotle attaches particular significance to the homonymy of many central concepts in philosophy and science: that is, to the diversity of ways of being common to a single general concept. His preoccupation with homonymy influences his approach to almost every subject that he considers, and it clearly structures the philosophical methodology that he employs both when criticizing others and when advancing his own positive theories. Where there is homonymy there is multiplicity: Aristotle aims to find the order within this multiplicity, (...) and believes that doing so is crucial to scientific inquiry and philosophical progress.Christopher Shields investigates and evaluates Aristotle's approach to questions about homonymy, characterizing the metaphysical and semantic commitments necessary to establish the homonymy of a given concept. Then, in a series of case-studies, Shields examines in detail some of Aristotle's principal applications of homonymy--to the body, sameness and oneness, life, goodness, and being. Shields's aim is not only to give a fuller understanding of Aristotle's methodology and to illuminate his specific doctrines in a variety of areas, but to show that this methodology remains fruitful today. (shrink)

Christopher Hookway presents a series of studies of themes from the work of the great American philosopher and pragmatist, Charles S. Peirce (1839-1913). These themes center on the question of how we are to investigate the world rationally. Hookway shows how Peirce's ideas about this continue to play an important role in contemporary philosophy.

Moral error theories are often rejected by appeal to ‘companions in guilt’ arguments. The most popular form of companions in guilt argument takes epistemic reasons for belief as a ‘companion’ and proceeds by analogy. I show that this strategy fails. I claim that the companions in guilt theorist must understand epistemic reasons as evidential support relations if her argument is to be dialectically effective. I then present a dilemma. Either epistemic reasons are evidential support relations or they are not. If (...) they are not, then the companions in guilt argument fails. If they are, then a reduction of epistemic reasons to evidential support relations becomes available and, consequently, epistemic reasons cease to be a viable ‘companion’ for moral reasons. I recommend this structure of argument over existing strategies within the literature and defend my claims against recent objections from companions in guilt theorists. (shrink)

This original new book argues for a reassessment of Plato's challenge to the arts. Plato was the first great figure in Western philosophy to assess the value of the arts; he argued in the Republic that traditionally accepted forms of poetry, drama, and music are unsound. While this view has been widely rejected, Janaway argues that Plato's hostile case is a more coherent and profound challenge to the arts than has sometimes been supposed. Denying that Plato advocates "good art" in (...) any modern sense, Janaway seeks both to understand Plato's critique in the context of his own philosophy and to locate him in today's philosophy of art, showing how issues in aesthetics arise from responses to his charges. (shrink)

Plato's Utopia Recast is an illuminating reappraisal of Plato's later works, which reveals radical changes in his ethical and political theory. Christopher Bobonich examines later dialogues, with a special emphasis upon the Laws, and argues that in these late works, Plato both rethinks and revises the basic ethical and poltical positions that he held in his better-known earlier works, such as the Republic. This book will change our understanding of Plato. His controversial moral and political theory, so influential in (...) Western thought, will henceforth be seen in a new light. (shrink)

DMet 10: Prime matter is the origin of all quantities. Hence it is the origin of every dimension of continuous quantity whatever. ...

Do famous athletes have special obligations to act virtuously? A number of philosophers have investigated this question by examining whether famous athletes are subject to special role model obligations (Wellman 2003; Feezel 2005; Spurgin 2012). In this paper we will take a different approach and give a positive response to this question by arguing for the position that sport and gaming celebrities are ‘ambassadors of the game’: moral agents whose vocations as rule-followers have unique implications for their non-lusory lives. According (...) to this idea, the actions of a game’s players and other stakeholders—especially the actions of its stars—directly affect the value of the game itself, a fact which generates additional moral reasons to behave in a virtuous manner. We will begin by explaining the three main positions one may take with respect to the question: moral exceptionalism, moral generalism, and moral exemplarism. We will argue that no convincing case for moral exemplarism has thus far been made, which gives us reason to look for new ways to defend this position. We then provide our own ‘ambassadors of the game’ account and argue that it gives us good reason to think that sport and game celebrities are subject to special obligations to act virtuously. (shrink)

According to commonsense psychology, one is conscious of everything that one pays attention to, but one does not pay attention to all the things that one is conscious of. Recent lines of research purport to show that commonsense is mistaken on both of these points: Mack and Rock (1998) tell us that attention is necessary for consciousness, while Kentridge and Heywood (2001) claim that consciousness is not necessary for attention. If these lines of research were successful they would have important (...) implications regarding the prospects of using attention research to inform us about consciousness. The present essay shows that these lines of research are not successful, and that the commonsense picture of the relationship between attention and consciousness can be. (shrink)

According to the snapshot view of temporal experience, instances of movement and change cannot, strictly speaking, be objects of sensory perception. Perceptual consciousness instead consists of a succession of individual momentary experiences, none of which is itself an experience of movement or change. The snapshot view is often presented as an intuitively appealing view of the nature of temporal experience, even by philosophers who ultimately reject it. Yet, it is puzzling how this can be so, given that its central claim (...) – that we can never just perceive things moving or changing – clearly flies in the face of our common sense view of the phenomenology of experience. In this paper, I offer a diagnosis of how it is possible that the deep conflict between the snapshot view and our phenomenological intuitions can sometimes go unnoticed. The materials for this diagnosis can, I think, be found in some passages in Thomas Reid’s Essays on the Intellectual Powers of Man, in which he criticises John Locke’s account of the origins of the idea of succession, as presented in chapter 14 of book II of An Essay Concerning Human Understanding. As I argue, a crucial aspect of Reid’s criticisms can be seen to turn on the idea that Locke fails to distinguish between two quite different variants of the snapshot view, which I call the memory theory and the mirroring theory of temporal experience, respectively. It is the failure to distinguish between these two different variants of the snapshot view, I suggest, that can also make the snapshot view appear more compatible with our phenomenological intuitions than it in fact is. (shrink)

The psychological writing of Jung and the post-Jungians is all too often ignored as anachronistic, archaic and mystic. In Jung and the Postmodern, Christopher Hauke challenges this, arguing that Jungian psychology is more relevant now than ever before - not only can it be a response to modernity, but it can offer a critique of modernity and Enlightenment values which brings it in line with the postmodern critique of contemporary culture. After introducing Jungians to postmodern themes in Jameson, Baudrillard, (...) Jencks and Foucault, the author introduces postmodernists to Jung's cultural critique and post-Jungian discussions of representation, individuation, consciousness, and the alternatives to Enlightenment rationality. He also takes a totally fresh approach to topics such as hysteria and the body, Jung and Nietzsche, architecture and affect, Princess Diana and the 'death' of the subject, postmodern science and synchronicity, and to psychosis and alternative 'rationalities'. Jung and the Postmodern is vital reading for everyone interested in contemporary culture, not only Jungians and other psychotherapists who want to explore the social relevance of their discipline, but anyone who shares a assionate concern for where we are heading in postmodern times. (shrink)

What is involved in the consciousness of a conscious, "occurrent" propositional attitude, such as a thought, a sudden conjecture or a conscious decision? And what is the relation of such consciousness to attention? I hope the intrinsic interest of these questions provides sufficient motivation to allow me to start by addressing them. We will not have a full understanding either of consciousness in general, nor of attention in general, until we have answers to these questions. I think there are constitutive (...) features of these states which can be identified by broadly philosophical investigation, and in the early part of this paper I will try to do some of that identification. -/- Beyond the intrinsic interest of the topic, the nature of such conscious attitudes is highly pertinent to a philosophical account of psychological self-knowledge. So I will also say something about the significance of the constitutive features of these conscious attitudes for a philosophical account of how it can be that a thinker has a distinctive kind of knowledge of some of his mental states. The general challenge in this area is to find anything intermediate between the unexceptionable but uninformative, on the one hand, and the absolutely unbelievable on the other. (shrink)

This paper examines the debate between permissive and impermissive forms of Bayesianism. It briefly discusses some considerations that might be offered by both sides of the debate, and then replies to some new arguments in favor of impermissivism offered by Roger White. First, it argues that White’s (Oxford studies in epistemology, vol 3. Oxford University Press, Oxford, pp 161–186, 2010) defense of Indifference Principles is unsuccessful. Second, it contends that White’s (Philos Perspect 19:445–459, 2005) arguments against permissive views do not (...) succeed. (shrink)

In apparent motion experiments, participants are presented with what is in fact a succession of two brief stationary stimuli at two different locations, but they report an impression of movement. Philosophers have recently debated whether apparent motion provides evidence in favour of a particular account of the nature of temporal experience. I argue that the existing discussion in this area is premised on a mistaken view of the phenomenology of apparent motion and, as a result, the space of possible philosophical (...) positions has not yet been fully explored. In particular, I argue that the existence of apparent motion is compatible with an account of the nature of temporal experience that involves a version of direct realism. In doing so, I also argue against two other claims often made about apparent motion, viz. that apparent motion is the psychological phenomenon that underlies motion experience in the cinema, and that apparent motion is subjectively indistinguishable from real motion. (shrink)

Representation theorems are often taken to provide the foundations for decision theory. First, they are taken to characterize degrees of belief and utilities. Second, they are taken to justify two fundamental rules of rationality: that we should have probabilistic degrees of belief and that we should act as expected utility maximizers. We argue that representation theorems cannot serve either of these foundational purposes, and that recent attempts to defend the foundational importance of representation theorems are unsuccessful. As a result, we (...) should reject these claims, and lay the foundations of decision theory on firmer ground. (shrink)

This article presents an overview of the basic philosophical motivations for, and some recent work in, modal set theory.

Ectogestation involves the gestation of a fetus in an ex utero environment. The possibility of this technology raises a significant question for the abortion debate: Does a woman’s right to end her pregnancy entail that she has a right to the death of the fetus when ectogestation is possible? Some have argued that it does not Mathison & Davis. Others claim that, while a woman alone does not possess an individual right to the death of the fetus, the genetic parents (...) have a collective right to its death Räsänen. In this paper, I argue that the possibility of ectogestation will radically transform the problem of abortion. The argument that I defend purports to show that, even if it is not a person, there is no right to the death of a fetus that could be safely removed from a human womb and gestated in an artificial womb, because there are competent people who are willing to care for and raise the fetus as it grows into a person. Thus, given the possibility of ectogestation, the moral status of the fetus plays no substantial role in determining whether there is a right to its death. (shrink)

In “Bayesianism, Infinite Decisions, and Binding”, Arntzenius et al. (Mind 113:251–283, 2004 ) present cases in which agents who cannot bind themselves are driven by standard decision theory to choose sequences of actions with disastrous consequences. They defend standard decision theory by arguing that if a decision rule leads agents to disaster only when they cannot bind themselves, this should not be taken to be a mark against the decision rule. I show that this claim has surprising implications for a (...) number of other debates in decision theory. I then assess the plausibility of this claim, and suggest that it should be rejected. (shrink)

We argue that while digital health technologies (e.g. artificial intelligence, smartphones, and virtual reality) present significant opportunities for improving the delivery of healthcare, key concepts that are used to evaluate and understand their impact can obscure significant ethical issues related to patient engagement and experience. Specifically, we focus on the concept of empowerment and ask whether it is adequate for addressing some significant ethical concerns that relate to digital health technologies for mental healthcare. We frame these concerns using five key (...) ethical principles for AI ethics (i.e. autonomy, beneficence, non-maleficence, justice, and explicability), which have their roots in the bioethical literature, in order to critically evaluate the role that digital health technologies will have in the future of digital healthcare. (shrink)

In this paper, I consider the role of perspective in Hegel’s metaphysics, and in particular the role that multiple perspectives play within the ultimate structure in Hegel’s metaphysics, which Hegel calls ‘the idea [die Idee].’ My (somewhat anachronistic) way into this topic will be to inquire about Hegel’s stance on what Adrian Moore has called ‘absolute representations.’ I argue for the claim that perspective is maintained, even in the absolute idea, which generates the task of understanding the nature of that (...) perspective and its compatibility with absoluteness. I attempt to accomplish this task by asking what a logical perspective could be, and how it might be related to visual perspective. Then I inquire into the relation that perspectives have to each other, i.e., to the system of perspectives. I construe those relations in reciprocal and dynamic terms, so that absoluteness takes the form of a structured round of perspectives rather than a relation to reality “once and for all”. (shrink)

The Lockean theory of communication is here defined as the theory that communication takes place when a hearer grasps some sort of mental object, distinct from the speaker's words, that the speaker's words express. This theory contrasts with the view that spoken languages are the very medium of a kind of thought of which overt speech is the most basic form. This article is a critique of some of the most common motives for adopting a Lockean theory of communication. It (...) is not enough that words in some sense express thoughts. It is not enough that animals and prelinguistic infants in some sense think. It is not enough that speakers mean something by what they say or that hearers must understand a speaker's presuppositions. On the contrary, any explanation of how children can learn to communicate in the way the Lockean imagines will presuppose that words can instill beliefs in some way more fundamental than the Lockean theory itself can explain. (shrink)

The paper argues that an account of understanding should take the form of a Carnapian explication and acknowledge that understanding comes in degrees. An explication of objectual understanding is defended, which helps to make sense of the cognitive achievements and goals of science. The explication combines a necessary condition with three evaluative dimensions: An epistemic agent understands a subject matter by means of a theory only if the agent commits herself sufficiently to the theory of the subject matter, and to (...) the degree that the agent grasps the theory (i.e., is able to make use of it), the theory answers to the facts and the agent’s commitment to the theory is justified. The threshold for outright attributions of understanding is determined contextually. The explication has descriptive as well as normative facets and allows for the possibility of understanding by means of non-explanatory (e.g., purely classificatory) theories. (shrink)

This introduction to the philosophy of the environment examines current debates on how we should think about the natural world and our place within it. The subject is examined from a determinedly analytic philosophical perspective, focusing on questions of value, but taking in attendant issues in epistemology and metaphysics as well. The book begins by considering the nature, extent and origin of the environmental problems with which we need to be concerned. Chapters go on to consider familiar strategies for dealing (...) with environmental problems, and then consider what sort of things are of direct moral concern, examining in turn at animals, non-sentient life-forms, natural but non-living things and deep ecology. The final part of the book investigates notions of value, natural beauty and the place of human beings in the scheme of things. (shrink)

In this detailed study, Christopher Norris defends the kinds of arguments advanced by the early realist, Hilary Putnam. Norris makes a point of placing Putnam's work in a wider philosophical context, and relating it to various current debates in epistemology and philosophy of science. Much like Putnam, Norris is willing to take full account of opposed viewpoints while maintaining a vigorously argued commitment to the values of debate and enquiry.