The physiological blind spot corresponds to the optic disc where the retina contains no light-detecting photoreceptor cells. Our perception seemingly fills in this gap in input. Here we suggest that rather than an active process, such perceptual filling-in could instead be a consequence of the integration of visual inputs at higher stages of processing discounting the local absence of retinal input. Using functional brain imaging, we resolved the retinotopic representation of the physiological blind spot in early human visual cortex and (...) measured responses while participants perceived filling-in. Responses in early visual areas simply reflected the absence of visual input. In contrast, higher extrastriate regions responded more to stimuli in the eye containing the blind spot than the fellow eye. However, this signature was independent of filling-in. We argue that these findings agree with philosophical accounts that posit that the concept of filling-in of absent retinal input is unnecessary. (shrink)

Spirituality is a universal human experience. Within the process of development, the role of spirituality as a developmental asset is understudied in general and especially within majority world contexts. In this article, we frame advances in spirituality research and practice with youth around three pillars: (a) theory, (b) measurement, and (c) research about and evaluations of positive youth development (PYD) programs in low- and middle-income countries. We place PYD programs as associated with dynamic, relational developmental systems (RDS)-based models of human (...) development, describe spirituality and the “Big Three” features of effective PYD programs as aligning to promote thriving, and discuss spirituality as a strength, as a key asset, in the lives of youth. We discuss advances in developmental methods and measures for describing, explaining, and promoting spirituality and PYD and offer a case study that responds to a United States Agency for International Development call for action and evaluations of spirituality within the context of a PYD program in the majority world. Considerations for future research about spirituality and youth development are discussed. (shrink)

Applied Christian Ethics addresses selected themes in Christian social ethics. Part one shows the roots of contributors in the realist school; part two focuses on different levels of the significance of economics for social justice; and part three deals with both existential experience and government policy in war and peace issues.

2. The equal status mentioned in Thesis 2 need not mean, "equally concrete" or "inclusive," but only, "equally real," where "real" means having a character of its own with reference to which opinions can be true or false. But becoming or process is alone fully concrete or inclusive, since if A is without becoming, and B becomes, then the togetherness of AB also becomes. A new constituent means a new totality. In this sense, becoming is the ultimate principle.

We argue that C. Darwin and more recently W. Hennig worked at times under the simplifying assumption of an eternal biosphere. So motivated, we explicitly consider the consequences which follow mathematically from this assumption, and the infinite graphs it leads to. This assumption admits certain clusters of organisms which have some ideal theoretical properties of species, shining some light onto the species problem. We prove a dualization of a law of T.A. Knight and C. Darwin, and sketch a decomposition result (...) involving the internodons of D. Kornet, J. Metz and H. Schellinx. A further goal of this paper is to respond to B. Sturmfels’ question, “Can biology lead to new theorems?”. (shrink)

‘In historical composition’, said Samuel Johnson, ‘all the greatest powers of the human mind are quiescent’. Perhaps so, but even if the historian must appear dull and plodding next to his more profound and shimmering brethren, the philologists and – of course – the literary critics, still he must be granted at least one virtue in plenty and that virtue is scepticism. Especially nowadays. While not quite yet ready to surrender his province to the meta-historians , the historian continues (...) diligently to scrutinize his sources with such wary Pyrrhonism as he can muster. He is especially suspicious of those ancients whose intelligence and whose literary gifts he most admires, hence the unrelenting distrust of authors such as Cicero and Caesar – and recently even such paragons of accuracy as Polybius. Still, a few authors have earned our unconscious credence, it would seem, merely by dint of their artlessness; we simply do not respect them enough to doubt them. A case in point: Varro's De Re Rustica, a remarkable ensemble of three dialogues, a highly literary work, yet one whose obvious inadequacies have distracted readers from its attempts at literariness and consequently have led them to take its veracity for granted – even when it relates to items having little or nothing to do with agriculture. A brief passage in the third book of R.R. informs us, or rather seems to inform us, that what was perhaps republican Rome's most illustrious family, the Claudii Pulchri, was reduced to poverty in the seventies B.C. in the aftermath of the death of the consul of 79 – evidence that has been accepted widely by modern scholars. In this paper I hope to show that there is no good reason for believing Varro's Appius when he claims to have been pauperized by his father's death and, furthermore, that to do so is to fail to appreciate the artistry and wry humour with which Varro has composed Book Three. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:A Response to Charles AltieriRobert B. PippinIam very grateful to Charles Altieri for his attentive reading of and thoughtful critique of Philosophy by Other Means: The Arts in Philosophy and Philosophy in the Arts.1 Let me proceed immediately to his main and quite important criticism of the approach defended there. It is this: "My one huge problem with Pippin's perspective is that I cannot accept his insistence that the (...) distinctive form of thinking elicited by works of art is best treated as a mode of knowledge." And he offers a contrasting perspective: "Instead I propose that art should matter to society primarily as the achievement of constructed, specific, individual experiences that embody resonance and authority. Then we can claim that their capacities to engage audiences in particular imaginative situations dramatically stage responses to the historical conditions on which Pippin dwells." This is a densely stated alternative, and I am not sure I fully understand it or why stating it this way thereby shows why art "should matter to society" (art may do this, but why is that important?), but I have much to say by way of clarification before getting to the alternative.First, I meant the title to be as dialectical and so as paradoxical as it sounds. If the means are "other," then we have left philosophy altogether; if the other means are still philosophical, then they can't count as "other." By dialectical I mean simply the avoidance of such dualisms, while not collapsing distinctions through some sort of resolutive reductionism. The idea is to avoid two terrible examples of philosophical approaches to the arts that putatively avoid such dualisms: either provocative or illustrative. The former sees literature especially as embodying issues like moral dilemmas that can be understood to pose, to provoke, philosophical [End Page 249] questions that traditional philosophy should then take up and discuss on its own. (Examples are the way Samuel Beckett's plays, or Albert Camus's The Stranger, are sometimes taught.) The latter, the illustrative, sees literature, again paradigmatically, as providing something like the flesh and blood of abstract philosophical issues, instantiating and illustrating a particular philosophical approach, like moral sentimentalism. (Charles Dickens is often cited.)These are surely examples of what Altieri cites as, and quite rightly rejects, as "appropriating those [aesthetic] experiences for philosophical explanation." I want to reject such "appropriationism" too. In my first chapter, on philosophical criticism of the arts, the idea I defended was that attention to the philosophical value of literature (I will stay with this art form for a while) is attention to literature as a form of reflective thinking itself, in no need of appropriation by philosophy—even though, I claim, there can be a form of philosophical criticism. The point of such criticism is to illuminate that dimension of the work itself, something philosophically significant that the work can do but traditional philosophy cannot.This is couched within several qualifications. Such attentiveness can be valuable, but not for just any work of great literature. Some literature is great without being concerned with any aesthetic modality of "thinking." One can surely admire Samuel Richardson or Anthony Trollope or William Makepeace Thackeray and admit that their value stems from other qualities in the prose, plotting, and psychologically astute portrayal of characters. And for many other reasons, any of the arts can be said to be valuable even if a case can also be made for their bearing on philosophy.And finally, the concept of "philosophical knowledge" is quite complicated. Surely some philosophers, like G. W. F. Hegel, believe in such a thing, but I don't. As Altieri rightly points out, no Absolute exists. What interests me is the relevance of Hegel's claim that a sensible and affective modality of collective self-knowledge can be embodied in many great works. But the collective self-knowledge embodied in fiction is not like discursive or analytic or even speculative knowledge. I see no strict distinction between the object of interrogation and the interrogation itself. That is, the "self" in question (e.g., who have we become?) is what it is by virtue of its own self-interpretation. Self-knowledge in... (shrink)

Principled discussions of civil rights became inherently less likely as a direct result of the observation by Earl Warren, in Brown v. Board of Education, that, respecting freedmen, “Education of Negroes was almost non-existent, and practically all of the race were illiterate,” and in proportion as that observation increasingly became the foundation of common opinion on the subject. Warren's observation was not true in any meaningful or non-trivial sense. Nevertheless, it served to perpetuate the myth of a backward people needing (...) help to catch up instead of the truth of a people being held back. That is the perspective – the disadvantaged group perspective – that ultimately infected all discussion of civil rights, even after the designation of so-called “disadvantaged groups” had been extended beyond American blacks. To define civil rights, we may well begin with what all mankind would likely recognize. Thus the dictionary definition of “civil rights” stands: “the rights that belong to all individuals in a nation or community touching property, marriage, and the like.” In that definition the term “rights” may be further expanded to mean “legitimate claims,” following the definition of right as law – as “a claim or title or interest in anything whatever that is enforceable by law.” This definition applies with minimal distinction of regimes intruding and, therefore, without the host of recent complications in the United States that create the impression that civil rights have something to do with pluralism. Previously, the generic definition was thought to exhaust the meaning of the term in the United States. (shrink)

The political writings of Kant and of Hegel present two contrasts, whose connection and explanation have never been adequately explored. The first contrast is in respect of the quality of their discussions of ‘home’ politics—in Kant's language, the ‘problem of establishing a perfect civic constitution’. Here Hegel shines. However much one may dislike the tone of voice, the vocabulary, the style and the arrangement of its arguments, his Philosophy of Right , especially when supplemented by his more topical political writings, (...) presents an array of dicta, judgments and arguments of notable penetration, balance and prescience. Consider for instance his account of the very different political functions of free associations and of representative bodies, and his perception of the symbolic—but crucially symbolic—role of head of state. On these, as on many other issues, Hegel's views deserve the credit that has of late begun to be restored to them. Whatever his philosophical failings, he had a remarkable sense of the key junctures of different strands in the life of politics; so that, although the kind of state he describes and admires retains little practical relevance today, his exposition of it remains a valuable training-ground in political appreciation. By contrast Kant's philosophy of the state, as we find it in Part II of his Philosophy of Right , in Part II of Theory and Practice and in Appendices I and II of Perpetual Peace , is at first sight little more than an academic exercise. It amounts to a restatement, in dehistoricized terms and in accordance with Kant's rationalist theory of morals, of Rousseau's central political teachings, viz. that an original, unanimous, unrescindable contract explains political allegiance, and that the idea of a General Will is a sufficient criterion of political justice within the state. From these two basic positions Kant develops a theory of civic obedience far more restrictive than that of Rousseau or indeed than that of Hobbes. Throughout, Kant accepts—in the spirit which one might accord to revelation—Rousseau's assumptions that government can be confined to issues that fall under a General Will, and that such a Will can be ‘found’ for the resolution of every political issue, so that honest men need never disagree about what the General Will is. But to say this is to say that Kant's concern with home politics is little more than academic. (shrink)

In this book, the authors introduce the notion of Super linear algebra and super vector spaces using the definition of super matrices defined by Horst (1963). Many theorems on super linear algebra and its properties are proved. Some theorems are left as exercises for the reader. These new class of super linear algebras which can be thought of as a set of linear algebras, following a stipulated condition, will find applications in several fields using computers. The authors feel that such (...) a paradigm shift is essential in this computerized world. (shrink)

The statement of Donatus that Vergil wrote the Culex at the age of sixteen seems to be regarded by most scholars as too good to be true. It is a very long time since it was first suggested that XXVI. should be read for XVI., and the proposal has not yet fallen from favour. The apparent justification of this view is found in a passage of Statius' Genethliacon Lucani , where Calliope is represented as foretelling the literary achievements of Lucan. (...) It is the purpose of the present paper to examine this supposed evidence. (shrink)

In the Classical Review I quoted, for Petronius 77. 6 ‘assem habeas assem valeas,’ a proverb unnoticed as far as I know by other scholars—‘quantum habebis tantus eris; frange lunam et fac fortunam’—and suggested that we should invert and correct—‘frange lunam [et] fac fortunam; quantum habebis tanti eris’—thus getting an accentual trochaic tetra-meter, with rhyme in the first half , which could be added to the popular trochaics collected in Baehrens' Poet. Lat. Fragmenta.

The passage is thought to refer to the efforts of the Macedonians to honour the memory of their dead king. Who are meant by reges is not at all clear, and summa nituntur opum ui, as we may infer from other passages where the same or a similar expression is used, can hardly refer to anything but the labour of the hands. Probably we ought to read regis, i.e. Philippi. The lines will then refer to the work of the people.

This well-known passage refers to the growth of latifundia, a symptom of Rome's decadence. In v. 170 ignotis is generally taken to mean ‘unknown to the owners,’ and thus, it seems to me, the point of the passage is missed. There is a double antithesis; longa is contrasted with breuίa, parua, and ίgnotίs with notίs, ίnlustrίbus, or the like. The latter antithesis is implied in Camίllί, Curίorum; the other is left to be understood. In the good old days farms were (...) small, but were cultivated by the most eminent citizens, men like Camillus and Curius Dentatus; now these small farms are combined to form latίfundίa, managed by nobodies , whether slaves or tenant farmers. The juxta-position of longa and sub ίgnotίs is intentional. (shrink)

In this paper, a modified form of Collatz conjecture for neutrosophic numbers n ∈ (Z U I) is defined. We see for any n ∈ (Z U I) the related sequence using the formula (3a + 1) + (3b + 1)I converges to any one of the 55 elements mentioned in this paper. Using the akin formula of Collatz conjecture viz. (3a- 1) + (3b -1)I the neutrosophic numbers converges to any one of the 55 elements mentioned with appropriate modifications. (...) Thus, it is conjectured that every n ∈ (Z U I) has a finite sequence which converges to any one of the 55 elements. (shrink)