When we look at a tree, two images of it are formed, one on each of our retinas. Why, then, asks the child or the philosopher, do we not see two trees?1 Thomas Reid offers an answer to this question in the section of his Inquiry into the Human Mind entitled ‘Of seeing objects single with two eyes’. The principles he invokes in his answer serve at the same time to explain why we do occasionally see objects double. (...) In Part I of this essay, I examine the principles Reid uses to explain single and double vision. This part is mostly an exercise in the history of cognitive science, but it raises questions of interest to philosophers along the way. In Part II, I turn to a hard-core philosophical problem raised by double vision, namely, whether double vision constitutes an objection to the direct realist theory of perception, which was one of Reid's main philosophical purposes to promote. (shrink)

In a recent article on Reid’s theory of single and double vision, James Van Cleve considers an argument against direct realism presented by Hume. Hume argues for the mind-dependent nature of the objects of our perception from the phenomenon of double vision. Reid does not address this particular argument, but Van Cleve considers possible answers Reid might have given to Hume. He finds fault with all these answers. Against Van Cleve, I argue that both appearances (...) in double vision could be considered visible figures of the object, and show how this solution might preserve Reid’s direct realism. However, this solution is not compatible with the single appearance of an object predicted by Reid’s theory of single and double vision. This consequence will appear evident once we consider the critique of Reid’s theory of single and double vision formulated by William Charles Wells (1757-1817). Wells argues that Reid’s theory is either incomplete or incompatible with other claims made by Reid. It is incomplete since it fails to specify the unique direction in which we the object in single vision; if it not incomplete and is compatible with the law of monocular direction given by Reid, then it is incompatible with Reid’s claim that we do not perceive immediately distance by sight. (shrink)

Cumming (2008) argues that his Masked Ball problem undermines Millianism, and that we must instead treat names as variables. However, although the Masked Ball does pose a problem for the Millian given a standard view about the meaning of `believes', that view faces difficulties for independent reasons. I develop a novel ``neo Kaplanian'' attitude semantics to address this problem, and go on to show that with this alternative semantics in hand, the Millian is quite capable of accounting for the Masked (...) Ball. (shrink)

Often when there is no attention to an object, there is no conscious perception of it either, leading some to conclude that conscious perception is an attentional phenomenon. There is a well-known perceptual phenomenon—visuo-spatial crowding, in which objects are too closely packed for attention to single out one of them. This article argues that there is a variant of crowding—what I call ‘‘identity-crowding’’—in which one can consciously see a thing despite failure of attention to it. This conclusion, together with (...) new evidence that attention to an object occurs in unconscious perception, suggests there may be a double dissociation between conscious perception of an object and attention to that object, constraining the extent to which consciousness can be constitutively attentional. The argument appeals to a comparison between the minimal resolution (or ‘‘grain’’) of object-attention and object-seeing. (shrink)

Pure representationalism or intentionalism for phenomenal experience is the theory that all introspectible qualitative aspects of a conscious experience can be analyzed as qualities that the experience non-conceptually represents the world to have. Some philosophers have argued that experiences such as afterimages, phosphenes and double vision are counterexamples to the representationalist theory, claiming that they are non- representational states or have non-representational aspects, and they are better explained in a qualia-theoretical framework. I argue that these states are fully (...) representational states of a certain kind, which I call “automatically non-endorsed representations”, experiential states the veridicality of which we are almost never committed to, and which do not trigger explicit belief or disbelief in the mind of the subject. By investigating descriptive accounts of afterimages by two qualia theorists, I speculate that the mistaken claims of some anti-representationalists might be rooted in confusing two senses of the term “seeming”. (shrink)

Hamlet tells Horatio that there are more things in heaven and earth than are dreamt of in his philosophy. In Double Vision, philosopher and literary critic Tzachi Zamir argues that there are more things in Hamlet than are dreamt of--or at least conceded--by most philosophers. Making an original and persuasive case for the philosophical value of literature, Zamir suggests that certain important philosophical insights can be gained only through literature. But such insights cannot be reached if literature is (...) deployed merely as an aesthetic sugaring of a conceptual pill. Philosophical knowledge is not opposed to, but is consonant with, the literariness of literature. By focusing on the experience of reading literature as literature and not philosophy, Zamir sets a theoretical framework for a philosophically oriented literary criticism that will appeal both to philosophers and literary critics. Double Vision is concerned with the philosophical understanding induced by the aesthetic experience of literature. Literary works can function as credible philosophical arguments--not ones in which claims are conclusively demonstrated, but in which claims are made plausible. Such claims, Zamir argues, are embedded within an experiential structure that is itself a crucial dimension of knowing. Developing an account of literature's relation to knowledge, morality, and rhetoric, and advancing philosophical-literary readings of Richard III, Macbeth, Romeo and Juliet, Othello, Antony and Cleopatra, Hamlet, and King Lear, Zamir shows how his approach can open up familiar texts in surprising and rewarding ways. (shrink)

In his paper “Double Vision, Phosphenes and Afterimages: Non-Endorsed Representations rather than Non-Representational Qualia,” Işık Sarıhan addresses the debate between strong representationalists and qualia theorists. He argues that qualia theorists like Ned Block and Amy Kind who cite double-vision, afterimages, etc., as evidence for the existence of qualia are mistaken about the actual nature of these states. According to Sarıhan, these authors confuse the fact that these states are non-endorsed representational states with the fact that they (...) are at least partly non-representational. I argue that Sarıhan’s argument contains gaps that suggest that he misidentifi es the mistake that leads these qualia theorists to their conclusion. In my view, these qualia theorists do not confuse the fact that the states in question are non-endorsed states with the fact that they are non-representational, but rather mistake certain representational contents, or certain aspects of these contents, for qualia. (shrink)

Logothetis, N.K.: Single units and conscious vision. Philosophical Transactions of the Royal Society of London Series B-Biological Sciences 353, 1801-1818 (1998) Abstract.

The evidence of blindsight is occasionally used to argue that we can see things, and thus have perceptual belief, without the distinctive visual awareness accompanying normal sight; thereby displacing phenomenality as a component of the concept of vision. I maintain that arguments to this end typically rely on misconceptions about blindsight and almost always ignore associated visual (or visuomotor) pathologies relevant to the lessons of such cases. More specifically, I conclude, first, that the phenomena very likely do not result (...) from dissociations within a single system, but from the interaction of evolutionarily distinct, if interacting, systems; second, that a closer study of spared motor abilities indicates that verbal responses of patients result not from degraded vision but from proprioception; and, finally, above chance verbal responses, being forced guesses, are not tentative beliefs and cannot become beliefs just by training patients to have more confidence in their responses. (shrink)

Much of The Reason’s Proper Study is devoted to defending the claim that simply by stipulating an abstraction principle for the “number-of” functor, we can simultaneously fix a meaning for this functor and acquire epistemic entitlement to the stipulated principle. In this paper, I argue that the semantic and epistemological principles Hale and Wright offer in defense of this claim may be too strong for their purposes. For if these principles are correct, it is hard to see why they do (...) not justify platonist strategies that are not in any way “neo-Fregean,” e.g. strategies that treat “the number of Fs” as a Russellian definite description rather than a singular term, or employ axioms that do not have the form of abstraction principles. (shrink)

Afrocentrism. Eurocentrism. Caribbean Studies. British Studies. To the forces of cultural nationalism hunkered down in their camps, this bold hook sounds a liberating call. There is, Paul Gilroy tells us, a culture that is not specifically African, American, Caribbean, or British, but all of these at once, a black Atlantic culture whose themes and techniques transcend ethnicity and nationality to produce something new and, until now, unremarked. Challenging the practices and assumptions of cultural studies, The Black Atlantic also complicates and (...) enriches our understanding of modernism. Debates about postmodernism have cast an unfashionable pall over questions of historical periodization. Gilroy bucks this trend by arguing that the development of black culture in the Americas arid Europe is a historical experience which can be called modern for a number of clear and specific reasons. For Hegel, the dialectic of master and slave was integral to modernity, and Gilroy considers the implications of this idea for a transatlantic culture. In search of a poetics reflecting the politics and history of this culture, he takes us on a transatlantic tour of the music that, for centuries, has transmitted racial messages and feeling around the world, from the Jubilee Singers in the nineteenth century to Jimi Hendrix to rap. He also explores this internationalism as it is manifested in black writing from the "double consciousness" of W. E. B. Du Bois to the "double vision" of Richard Wright to the compelling voice of Toni Morrison. In a final tour de force, Gilroy exposes the shared contours of black and Jewish concepts of diaspora in order both to establish a theoretical basis for healing rifts between blacks and Jews in contemporary culture and to further define the central theme of his book: that blacks have shaped a nationalism, if not a nation, within the shared culture of the black Atlantic. (shrink)

This article argues that the distinction between the sensible and the intelligible in Plato’s dialogues (here with respect to the Republic) is not a dogmaticassertion or the foundation for a set of doctrines, but is rather the very starting point of philosophical activity. This starting point will be shown to be, in its most fundamental aspect, not something chosen by the philosopher, but rather the attribute that makes the philosopher who he is. Much of my argument will turn on a (...) consideration of the divided line. In Part I, I situate the discussion of the divided line within both its global and immediate context in the Republic. As the divided line will serve as the focal point of my argument it is important to clarify its place in Socrates’ discussion with Glaucon and Adeimantus from the outset of my presentation. Part II consists of a brief analysis of the key passages devoted to the divided line. This analysis will culminate by highlighting the problematic nature of geometrical objects with respect to the schema of the line. I will argue that geometrical objects have no secure place on the line. This insecurity will call into question the apparent continuity between the sensible and the intelligible that the divided line suggests, and might call for a way to mediate or bridge the gap between the sensible and the intelligible. In Part III, I consider one such attempt in Proclus’s commentary on Euclid in order to show how such an attempt failson Platonic terms and thus cannot constitute the true core of Platonic philosophy. Part IV will argue that if rightly interpreted the divided line itself offers a solution to the problem and clarifies both the nature of philosophical activity and the status of the sensibility/intelligibility distinction within Platonic philosophy. (shrink)

This article argues that the distinction between the sensible and the intelligible in Plato’s dialogues (here with respect to the Republic) is not a dogmaticassertion or the foundation for a set of doctrines, but is rather the very starting point of philosophical activity. This starting point will be shown to be, in its most fundamental aspect, not something chosen by the philosopher, but rather the attribute that makes the philosopher who he is. Much of my argument will turn on a (...) consideration of the divided line. In Part I, I situate the discussion of the divided line within both its global and immediate context in the Republic. As the divided line will serve as the focal point of my argument it is important to clarify its place in Socrates’ discussion with Glaucon and Adeimantus from the outset of my presentation. Part II consists of a brief analysis of the key passages devoted to the divided line. This analysis will culminate by highlighting the problematic nature of geometrical objects with respect to the schema of the line. I will argue that geometrical objects have no secure place on the line. This insecurity will call into question the apparent continuity between the sensible and the intelligible that the divided line suggests, and might call for a way to mediate or bridge the gap between the sensible and the intelligible. In Part III, I consider one such attempt in Proclus’s commentary on Euclid in order to show how such an attempt failson Platonic terms and thus cannot constitute the true core of Platonic philosophy. Part IV will argue that if rightly interpreted the divided line itself offers a solution to the problem and clarifies both the nature of philosophical activity and the status of the sensibility/intelligibility distinction within Platonic philosophy. (shrink)

A single case study of a patient, D.M., with a lesion in the region of the right occipito-temporal gyrus is presented. D.M. had well-preserved language and general cognitive abilities. Colour discrimination, contrast sensitivity, gross depth perception, spatial localization, and motion appreciation were within normal limits.On the evaluation of perceptual abilities, he failed to identify two-dimensional shapes from stereoscopic vision, motion, and texture although in all cases he was able to identify the rough area subtended by the shape. These (...) findings are considered in relation to the current anatomical-physiological functional models of vision and it is suggested that D.M. 's deficits provide evidence for the existence in man of a functional pathway involved in the computation of texture and fine aspects of shape, which is distinct from the pathways involved in motion and stereopsis processing on one hand and colour and coarse aspects of form on the other hand. (shrink)

Drawing on texts in psychology, philosophy, and literature the paper argues that art avails us of a distance from ourselves. Art has a potential to change our perspective on monstrosity and to make us question our moral categories and presuppositions. The study focuses on a single painting by Paul Gavarni, Two Pierrots Looking into a Box (1852), which I have discovered holds two images in one representation. I turn to Gavarni's work in order to prompt a literal gestalt shift (...) in my readers. I direct the readers' viewing so that, at first, Gavarni's pierrots appear as handsome, albeit licentious youths, but then, through a shift in focus, I reveal their hideous, monstrous profiles. At this point, I argue that if we treat Gavarni's pierrots and the sorts of desires that they represent with single-minded opprobrium, then we run the risk of perpetuating the ugliness we scorn. There is, then, a double change in vision, which I seek to effect. The first one is the alteration of the visual, and the second, of the ethical perspective. The latter has to do with a realization that Gavarni's Pierrots can elicit from us — depending on how we see them — either complicity or reprehension, which is not so much a commentary on the drawing, as it is a reflection on ourselves (our biases, opinions, desires, values, etc.). The phenomenon that underlies the change in how we see what Gavarni portrays and how we, thereafter, relate to what we notice — the malleability of the human psyche — is what allows for and calls the many masking images we, ourselves, wear and perceive. The final question that I address in the paper is whether we can claim mastery over those images, which mask the monstrous or whether, if we do, then far from getting rid of the callous, the cruel, and the inhumane, we stand the risk of giving these expressions a freer playground? (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 35.2 (2002) 120-137 [Access article in PDF] Discursive Mobility and Double Consciousness in S. Weir Mitchell and W.E.B. Du Bois 1 Susan Wells Here are two stories about double consciousness: they will become, eventually, stories about the public sphere: W. E. B. Du Bois formulating the theory of double consciousness, and S. Weir Mitchell presenting Mary Reynolds's case history, an instance of a (...) mental disorder known in the nineteenth century as double consciousness. I will begin with Du Bois's story, by far the most familiar to us: few texts are more central to contemporary rhetoric or cultural studies than the discussion of double consciousness in the opening pages of The Souls of Black Folk. 2 In the theory of double consciousness, Du Bois concentrated his contradictory experiences of scholarship, activism, social isolation, and active cosmopolitanism. Double consciousness was a methodological constraint that enabled Du Bois to build into the structure of The Souls of Black Folk a recognition that the complexity of African American life requires more than one perspective. And double consciousness was also a technique of writing, shaping the ironic and urgent voice of the book, by turns indignant and tender, eloquent and colloquial, a form of double address to both African American and Caucasian readers that allowed Du Bois to be two places at once. Double consciousness therefore controlled both the development and the presentation of The Souls of Black Folk, from the arc of its argument to its formal elements, includingDu Bois's famous use of chapter epigraphs to link canonic poetry with the melodies of the sorrow songs. Like the most relentlessly formal high modernist poem, the book continually enacts in its form not only its informing idea, but the circumstances of its composition and the constraints that shape its reading.The book's initial essay, "Of Our Spiritual Strivings," offers an analysis of double consciousness as it is shaped by three central categories of modernity: temporality, embodiment, and expertise. Double consciousness is located in time, in history; it is placed in a story of the epochal succession [End Page 120] of races, and in the specific history of slavery. Double consciousness emerges as strategically shaping African American responses to the problems of disenfranchisement, poverty, and the denial of civil rights after the suppression of Reconstruction. The historical sections of The Souls of Black Folk, therefore, do not simply rectify the facts, setting the record straight on Reconstruction or Afrocentric scholar and theorist Alexander Crumell. These local arguments all motivate an understanding of consciousness as temporally constituted, so that the work of previous generations can be effective only when it is appropriated in the present. Such appropriation is supported and mediated by the form of the book: Du Bois ends with an invocation to "God the Reader," who alone can ensure that "these crooked marks on a fragile leaf be not indeed THE END" (19).Double consciousness is also connected with embodiment, specifically the embodiment of African Americans, externalized and displaced in two images: blood, which I will discuss later in the essay, and the veil or caul that grants second sight. Like skin color, the caul is an inconsequential physical object invested with enormous symbolic power (8); it is a mark of origins that foretells the future. The "second sight" offered to the Negro is a vision of "two warring ideals," a vision that can barely be supported by "one dark body, whose dogged strength alone keeps it from being torn asunder"(9). At moments in The Souls of Black Folk, the veil is generalized, and becomes a physical barrier between the white world and the world of African American culture; the work of separating these worlds, of rendering them invisible to one another, is staged on the bodies of African Americans. The veil is usually seen as a separation between the races, something that has happened ("Feeling deeply and keenly the tendencies and opportunities of the age in which they live, their souls are bitter at the fate which drops the Veil... (shrink)

This review of Matthew Lipman’s autobiography, A Life Teaching Thinking, is a reflection on the themes and patterns of his extraordinarily productive career. His book begins with memories of earliest childhood and his preoccupation with the possibility of being able to fly, moves through the years in which his family struggled with the effects of the Great Depression, through his service in the military during World War II, his discovery of the joy and beauty of philosophy, his academic rise at (...) Columbia University, his Fullbright sojourn in Paris, and his early and later career. Lipman’s educational project led in four related directions: the practice of philosophy for children, which he invented, and which presents an epistemological challenge to a second field, philosophy of education, which is as startling as was Rousseau’s two hundred years before. Third, it led to a realm of theory called philosophy of childhood, upon which the practice of philosophy for children is a kind of action-meditation, prompting adults as it does to reflect on children’s differences from and similarities to adults at the same time, and in the same discursive space. Finally, his praxis also implicitly challenged those accounts of children’s philosophies, paradigmatically represented by Piaget’s work, which represent childhood epistemology as evidence for various genetic and epigenetic stage-based theories of cognitive development. The consequence for education of this confluence was a methodology—community of inquiry—that serves as a bridge between the two most influential philosophers of education of the 20th century—John Dewey and Paulo Freire. The educational praxis that emerged from his venture, for all its apparent simplicity, operationalizes a postcolonial standpoint epistemology vis a vis childhood and children, pulls the linchpin that holds in place the school as ideological state apparatus, and empowers the elementary classroom as a primary site for democratic theory and practice. (shrink)

In Treatise 1.4.2, David Hume seeks to explain how we come to believe in the external existence of bodies. He offers a complicated psychological account, where the imagination operates on the raw data of the senses to produce the ‘vulgar’ belief in the continued existence of the very things we sense. On behalf of philosophers, he presents a perceptual relativity argument that purports to show that the vulgar belief is false. I argue that scholars have failed to appreciate Hume's peculiar (...) formulation of the perceptual relativity argument and its relation to his psychological account of the vulgar belief. On my interpretation, in order to account for all the premises that Hume explicitly offers, the argument is best interpreted as beginning with a reductio that opposes the effects of the senses and the imagination in the vulgar belief. Thus Hume can be interpreted as identifying an ‘antinomy’ in the habits of the vulgar mind that produce belief in bodies. (shrink)

We tend to think that a person who is both reasonable and moral can have a good life. What constitutes a life that is not only good but superlative, or even “marvellous” or “holy”? Those who have such lives are called sages, heroes or saints, and their lives can display great integrity as well as integration with a transformative “Spiritual Presence.” Does it follow that saints are perfect people? Is there a common vision that impels them to seek holiness? (...) In a controversial interpretation of mysticism Horne suggests that there is no single formula for the meaning of life and no one story that displays it to us. Mysticism, rather than being just a visionary perception, then becomes a problem-solving process that brings about a creative transformation of the personality at a critical stage in life. He suggests also that saints may be imperfect morally and describes true saints as double-minded: they are serious in a playful way. Mysticism and Vocation illuminates our understanding of saintly lives by explicating their mystical characteristics and extending discussions of mysticism to explain its role in active lives. In discussing important decisions that go beyond conventional morality, it adds to recent philosophical arguments by Charles Taylor, Alasdair MacIntyre, Iris Murdoch, Bernard Williams and others to the effect that morality should be defined more broadly to deal with the human condition. This book will be of interest to students of philosophy and religious studies, in both graduate and undergraduate programs. (shrink)

In every chapter of this dissertation---chapters which consider work by John Locke, Lord Shaftesbury, David Hume, Adam Smith, Samuel Richardson, Jane Austen and Sir Joshua Reynolds---I show that the appeal each of these authors makes to the "common sense" of the reader mounts a deeply persuasive appeal to a collective vision of how things ought to be. Within empiricist epistemology, moral philosophy, fiction, and the discourse of art and aesthetics, I find that by assuming a moral consensus that unites (...) that community of readers he or she addresses, each of these writers initiates the reader into such a consensus. A double moment underlies the ideal and description of a common sense: what enables the claim that one's judgment is commonsensical is the assumption that such a judgment would find general assent, general agreement. At the same time, judgments that make these claims model for the community the kind of judgments that ought to find agreement. The idea of community rests on the possibility that each and every agent is capable of an objective assent to its terms and conditions, and that, given this ability, each would arrive at the consensus which supports the community. ;One of the paradoxes of eighteenth-century British empiricist epistemology is that it suggests the clearest views are those offered through the arts. That is, the frame provided by the arts creates a space which abstracts from a common-sense view of things to things "as they really are"---which is, really, as they ought to be. I explain the much noted intensity of the interest in developing a discourse of the aesthetic in the eighteenth century, or the emphasis placed on the idea of a single "standard of taste," as a consequence of the impasse in Locke's empiricist epistemology on the matter of objective judgments. The ability of perceivers to share a clear view of facts and objects, the view of reason and common sense, predicates Locke's project, yet the very possibility of such a view becomes more and more remote as his Essay proceeds. The model of aesthetic judgment which developed in the wake of Locke's Essay prioritized detachment and disinterest, and therefore offered the possibility of a distanced, and therefore objective, point of view, the point of view invoked in the appeal to common sense. (shrink)

In vitro fertilisation (IVF) daily practice reveals that couples are willing to take greater risks than doctors if there is a higher chance of pregnancy. Arising from this is a frequently addressed issue regarding the embryo transfer strategy: single or double embryo transfer? The dilemma is faced by patients, as well as physicians, who are caught between the possibility of no pregnancies at all and facing the prospect of iatrogenic twin gestation. How could the couple's preferences concerning how (...) many children they would like be taken into account in determining the number of embryos transferred? How should the physician exercise his medical responsibility towards his patients and the unborn child? An effective approach could be to enhance a couple’s autonomy by advocating a medical beneficence that incorporates patients’ values. This can be achieved through a case-by-case approach in a deliberative process of decision-making which includes real patient-centred communication. (shrink)

In issue 6.1 of the Journal of Scottish Philosophy, James Van Cleve describes Thomas Reid's understanding of double vision and then presents a challenge to his direct realism found in works of David Hume based on double vision. The challenge is as follows: When we press one eye with a finger, we immediately perceive all the objects to become double, and one half of them to be remov'd from their common and natural position. But as (...) we do not attribute a continu'd existence to both these perceptions, and as they are both of the same nature, we clearly perceive, that all our perceptions [i.e., all the things we perceive] are dependent on our organs, and the disposition of our nerves and animal spirits. (THN: 210–211). (shrink)

A picture provides both configurational content concerning its design features, and recognitional content about its external subject. But how is this possible, since all that a viewer can actually see is the picture's own design? I argue that the most plausible explanation is that a picture's design has a dual function. It both encodes artistically relevant design content, and in turn that design content encodes the subject content of the picture--producing overall a double content structure. Also, it is highly (...) desirable that a resulting double content theory for pictures should be closely integrated with a related double content account of perceptual content generally, so as to avoid suspicions of ad hoc theorizing that would apply only to pictorial content. The resulting theory should also be able to explain the inevitable ambiguities involved in abstracting two levels of visual content from a single visible surface, as well as explaining the systematic relations between the two kinds of content. I provide an orientational theory--based on a recently developed spatial logic of orientational concepts--for this purpose, and show how depictive and perceptual content in general can be usefully explained in these orientational terms. This account of picturing also integrates well with a previously developed, more generic double content theory of art, and it is also plausible in cognitive science terms. (shrink)

The purpose of this work is to carry out a systematic, detailed analytical study, together with the direct interpretations, as they follow from the analytical expressions obtained, of three basic “experiments” which have been classical examples in our understanding of quantum mechanics. The experiments considered are: the single- and double-slit (-hole) experiments, and the final one, which, in particular, deals with the situation where a particle is “reflected off” the detection screen in the single-slit experiment. Special emphasis (...) is put on pointing out some purely quantum mechanical results, which follow from the analytical expressions, as well as on making a comparison with classical physics. Needless to say, the analysis of such experiments has been extremely important in laying the foundations of quantum physics. (shrink)

Anything worth regarding as logicism about number theory holds that its fundamental laws – in effect, the Dedekind-Peano axioms – may be known on the basis of logic and definitions alone. For Frege, the logic in question was that of the Begriffschrift – effectively, full impredicative second order logic - together with the resources for dealing with the putatively “logical objects” provided by Basic Law V of Grundgesetze. With this machinery in place, and with the course-of-values operator governed by Basic (...) Law V counting as logical, it is possible for all the definitions involved in the logicist reconstruction of arithmetic and analysis to be fully explicit, abbreviative definitions. Had Frege’s project succeeded, he would therefore have been in position – by his own lights – to regard the axioms of number theory simply as definitional abbreviations of certain theorems of his pure logic. Basic Law V, as every interested party knows, is inconsistent. But twentieth century orthodoxy would have scorned its description as a law of logic in any case, purely on the grounds of its existential fecundity. Contemporary Neo-Fregeanism in the foundations of mathematics does not, in intention at least, pick any quarrel with the idea that pure logic should be ontologically austere. It does however maintain that the existence of the natural numbers and the real numbers as classically conceived, and thereby the truth of the traditional axioms of arithmetic and analysis, may still be known a priori on the basis of logic and definitions. For the purposes of this claim, logic is once again conceived as essentially the system of Begriffschrift. But Basic Law V is superseded by a variety of abstraction principles, of which Hume's Principle is the best known example, which we are regarded as free to lay down as true by way of determination of the meaning of the non-logical vocabulary that they contain. Thus — the idea is — the Dedekind-Peano axioms, for example, may be known, a priori, to be true by virtue of their derivation in pure logic from a principle which may be regarded as stipulatively true, and whose very stipulation may be regarded as conferring content upon the sole item of non-logical vocabulary – the cardinality operator – which it contains and thereby as conferring content upon Hume's Principle itself.. (shrink)

Vision is known to improve human postural responses to external perturbations. This study investigates the role of vision for the responses to continuous pseudorandom support surface translations in the body sagittal plane in three visual conditions: with the eyes closed, in stroboscopic illumination and with eyes open in continuous illumination with the room as static visual scene. In the frequency spectrum of the translation stimulus we distinguished on the basis of the response patterns between a low-frequency, mid-frequency, and (...) high-frequency range. With EC, subjects’ mean sway response gain was very low in the LFR. On average it increased with EO/SI and more so with EO/CI. In contrast, the average gain in the MFR decreased from EC to EO/SI and further to EO/CI. In the HFR, all three visual conditions produced, similarly, high gain levels. A single inverted pendulum model controlling center of mass balancing about the ankle joints formally described the EC response as being strongly shaped by a resonance phenomenon arising primarily from the control’s proprioceptive feedback loop. The effect of adding visual information in these simulations lies in a reduction of the resonance, similar as in the experiments. Extending the model to a double inverted pendulum suggested in addition a biomechanical damping effective from trunk sway in the hip joints on the resonance. (shrink)

In the ancient conversation between Western philosophy and Christian theology, powerful contemporary voices are arguing for monologue rather than dialogue. Instead of these two disciplines learning from and mutually informing each other, both philosophers and theologians are increasingly disconnected from, and thus unable to hear, what the other is saying, especially in Anglo-American scholarship. Some Christian philosophers are now found claiming methodological authority over doctrine, while some Christian theologians even deny that philosophy has its own integrity as a separate discipline. (...) Against these trends, David Brown has argued over the past thirty years that philosophy and theology are both necessary in order to grapple with the reality of divine mystery and Christian faith. Neither discipline can be reduced to the other, and each has its own contribution to make for a full understanding of what Brown describes as 'a single vision' of God. In this volume, Brown addresses some key topics in philosophical theology, including the created order, experience and revelation, incarnation and redemption, and heaven and our communal destiny. Combining analytic clarity, doctrinal substance, and historical depth, this volume exemplifies Brown's project of truly integrating philosophy and theology. It thus provides an ideal introduction to this vital conversation for undergraduate and postgraduate students, as well as a connected argument of interest to specialists in both disciplines. (shrink)