We question the usefulness of Pylyshyn's dichotomy between cognitively penetrable and cognitively impenetrable mechanisms as the basis for his distinction between cognition and early vision. This dichotomy is comparable to others that have been proposed in psychology prompting disputes that by their very nature could not be resolved. This fate is inevitable for Pylyshyn's thesis because of its reliance on internal representations and their interpretation. What is more fruitful in relation to this issue is not a difficult dichotomy, but a (...) different look at perception such as proposed by Gibson (1979). (shrink)

This paper presents four different understandings of the family and their concomitant views of the authority of the family in pediatric medical decision making. These different views are grounded in robustly developed, and conflicting, worldviews supported by disparate basic premises about the nature of morality. The traditional worldviews are often found within religious communities that embrace foundational metaphysical premises at odds with the commitments of the liberal account of the family dominant in the secular culture of the West. These disputes (...) are substantial and ultimately irresolvable by sound rational argument because of the failure to share common foundational premises and rules of evidence. It is in light of these fundamental disagreements that there is a need to evaluate critically the claims and agenda advanced by the Convention on the Rights of the Child. (shrink)

Paediatric genomic research raises particularly challenging questions on whether and under what circumstances to return research results. In the paediatric context, decision-making is guided by the best interests of the child framework, as enshrined in the 1989 international Convention on the Rights of the Child. According to this Convention, rights and responsibilities are shared between children, parents, researchers, and the state. These "relational" obligations are further complicated in the context of genetic research.

Given its non-invasive nature, there is increasing interest in the use of transcutaneous vagus nerve stimulation across basic, translational and clinical research. Contemporaneously, tVNS can be achieved by stimulating either the auricular branch or the cervical bundle of the vagus nerve, referred to as transcutaneous auricular vagus nerve stimulation and transcutaneous cervical VNS, respectively. In order to advance the field in a systematic manner, studies using these technologies need to adequately report sufficient methodological detail to enable comparison of results between (...) studies, replication of studies, as well as enhancing study participant safety. We systematically reviewed the existing tVNS literature to evaluate current reporting practices. Based on this review, and consensus among participating authors, we propose a set of minimal reporting items to guide future tVNS studies. The suggested items address specific technical aspects of the device and stimulation parameters. We also cover general recommendations including inclusion and exclusion criteria for participants, outcome parameters and the detailed reporting of side effects. Furthermore, we review strategies used to identify the optimal stimulation parameters for a given research setting and summarize ongoing developments in animal research with potential implications for the application of tVNS in humans. Finally, we discuss the potential of tVNS in future research as well as the associated challenges across several disciplines in research and clinical practice. (shrink)

The use of technology and teaching techniques derived from technology is currently a bourgeoning topic in higher education. Teachers at all levels and types of institutions want to know how these new technologies will affect what happens in and outside of the classroom. Many teachers have already embraced some of these technologies but remain uncertain about their educational efficacy. Other teachers have waited because they are reluctant to try tools or techniques that remain unproven or, as is often the case, (...) lack institutional support. This book is designed to help both groups, so that those with technological expertise can extend their knowledge, while technological novices can "ramp up" at their own pace and for their own purposes. Best Practices for Technology-Enhanced Teaching and Learning brings together expert teacher-scholars who apply and assess technology's impact on traditional, hybrid or blended, or completely on-line courses, relying on technology as a teaching tool for classroom management and interaction, as well as student-based uses of technology largely independent of instructors. Each chapter will address how technological improvements can be connected to assessment initiatives, as is now routinely advocated in psychology and social science education. The book features current scholarship and pedagogy involving innovative technology that impacts on student learning in psychology and related disciplines, focusing also on student reactions to these novel technologies, and proper assessments of how well they promote learning. This text will serve as the standard reference on emerging technologies for undergraduate instructors. (shrink)

When computing is defined as the causal implementation of algorithms and algorithms are defined as effective decision procedures, human thought is mental computation only if it is governed by mental algorithms. An examination of ordinary thinking, however, suggests that most human thought processes are non-algorithmic. Digital machines, moreover, are mark-manipulating or string-processing systems whose marks or strings do not stand for anything for those systems, while minds are semiotic (or “signusing”) systems for which signs stand for other things for those (...) systems. Computing, at best, turns out to be no more than a special kind of thinking. (shrink)

In the form of inference known as inference to the best explanation there are various ways to characterise what is meant by the best explanation. This paper considers a number of such characterisations including several based on confirmation measures and several based on coherence measures. The goal is to find a measure which adequately captures what is meant by 'best' and which also yields the truth with a high degree of probability. Computer simulations are used to show (...) that the overlap coherence measure achieves this goal, enabling the true explanation to be identified almost as often as an approach which simply selects the most probable explanation. Further advantages to this approach are also considered in the case where there is uncertainty in the prior probability distribution. (shrink)

According to familiar accounts, Rousseau held that humans are actuated by two distinct kinds of self love: amour de soi, a benign concern for one's self-preservation and well-being; and amour-propre, a malign concern to stand above other people, delighting in their despite. I argue that although amour-propre can (and often does) assume this malign form, this is not intrinsic to its character. The first and best rank among men that amour-propre directs us to claim for ourselves is that of (...) occupying 'man's estate'. This does not require, indeed it precludes, subjection of others. Amour-propre does not need suppression or circumscription if we are to live good lives; it rather requires direction to its proper end, not a delusive one. (shrink)

This paper considers an application of work on probabilistic measures of coherence to inference to the best explanation. Rather than considering information reported from different sources, as is usually the case when discussing coherence measures, the approach adopted here is to use a coherence measure to rank competing explanations in terms of their coherence with a piece of evidence. By adopting such an approach IBE can be made more precise and so a major objection to this mode of reasoning (...) can be addressed. Advantages of the coherence - based approach are pointed out by comparing it with several other ways to characterize ‘ best explanation ’ and showing that it takes into account their insights while overcoming some of their problems. The consequences of adopting this approach for IBE are discussed in the context of recent discussions about the relationship between IBE and Bayesianism. (shrink)

We can clarify a certain difficulty with regard to the phrase ‘the best and most perfect virtue’ in Aristotle’s definition of the human good in Nicomachean Ethics I 7 if we make use of two related distinctions: Donnellan’s attributive–referential distinction and Kripke’s distinction between speaker’s reference and semantic reference. I suggest that Aristotle is using the phrase ‘the best and most perfect virtue’ attributively, not referentially, and further that even though the phrase may refer to a specific virtue (...) (semantic reference), Aristotle is not using the phrase to refer to a specific virtue (speaker’s reference). (shrink)

Our best MSS. agree upon salapantium. But they also agree upon desertum for disertum. Seneca, who quotes the last two words of the line, has salaputium disertum ; and since he is right about disertum it is supposed that he is right about salaputium ; and salaputium stands in all our texts of Catullus. What it means nobody knows. It is mostly relegated to that numerous class of Latin words of which we conjecture that they are obscene and are (...) content that they should remain obscure. (shrink)

An approach to inference to the best explanation integrating a Popperianconception of natural laws together with a modified Hempelian account of explanation, one the one hand, and Hacking's law of likelihood (in its nomicguise), on the other, which provides a robust abductivist model of sciencethat appears to overcome the obstacles that confront its inductivist,deductivist, and hypothetico-deductivist alternatives.This philosophy of scienceclarifies and illuminates some fundamental aspects of ontology and epistemology, especially concerning the relations between frequencies and propensities. Among the most (...) important elements of this conception is thecentral role of degrees of nomic expectability in explanation, prediction,and inference, for which this investigation provides a theoretical defense. (shrink)

The demand for liver transplants continues to far exceed the number of available viable donor organs; hence, it is of utmost importance to determine those individuals who are best able to care for these valuable, limited resources as potential recipients. At the same time, psychiatric comorbidity is common in the course of end-stage liver disease and can be mutually complicating. This article focuses on liver transplant candidacy from a psychiatric perspective, using illustrative cases to underscore the foundational facets of (...) medical ethics that serve as the guide to these complex medical and ethical decisions. (shrink)

Peirce claims in his Lectures on Pragmatism [CP 5.196] that “If you carefully consider the question of pragmatism you will see that it is nothing else than the question of the logic of abduction;” and further “no effect of pragmatism which is consequent upon its effect on abduction can go to show that pragmatism is anything more than a doctrine concerning the logic of abduction.” Plausibly, there is, at best, a quasi-logic of abduction, which properly issues in our (...) class='Hi'>best means for the methodological evaluation and ordering of (yet untested) hypotheses or theories. There is always a range of explanatory innovations that may be proposed, from more conservative to less conservative; and it is important, in light of what Peirce has to say on the relation of abduction to pragmatism, that in ruling out “wild guessing,” attention be initially directed to more conservative proposals. Still conservatism, which we might understand in terms of Peircean continuity, is sometimes justly sacrificed for greater comprehension or overall simplicity of approach. This paper explores the relationships among Peircean abduction and pragmatism, the “theoretical virtues” approach to the evaluation of hypotheses, and contextual constraint on the scientific imagination. (shrink)

Die drei Bücher "Vom rechten Handeln" beschäftigen sich mit dem Verhältnis zwischem dem "Sittlichen" und dem "Nützlichen". Cicero vertritt die These, dass beide Begriffe "von Natur aus" identisch sind. Einen Konflikt zwischen dem Sittlichen, d.h. den aus den Tugenden folgenden Pflichten, und dem Nützlichen kann es daher im Grunde nicht geben. Was immer auf den ersten Blick sich als Konfliktfall darstellen mag - und Cicero geht zahlreiche Beispiele durch -, erweist sich bei genauer Betrachtung stets als scheinbarer Konflikt, der Nutzen (...) als scheinbarer Nutzen. Cicero verfasste "De officiis" als Vermächtnis an seinen Sohn in den Monaten nach der Ermordung Caesars. Von allen Werken Ciceros hat es am stärksten auf die Nachwelt gewirkt, von der Antika an, über Mittelalter, Renaissance bis hin zur Neuzeit; es wurde 1465 in Mainz als erstes gedruckt und am häufigsten übersetzt und kommentiert. Voltaire und Friedrich der Große hielten "De officiis" für das beste Buch über Moral. Die Übersetzung Karl Büchners sucht so wörtlich wie möglich die kunstvolle Sprache Ciceros nachzubilden. Der lateinische Text folgt der maßgeblichen Ausgabe von C. Atzert, die zahlreichen Abweichungen werden ausführlich kommentiert. Mit Einführung, Verzeichnis der Eigennamen und Literaturhinweisen. (shrink)

The literary criticism of the Greeks and Romans furnishes some of the most baffling documents which have come down to us from antiquity. Nor could it be otherwise. Few elements of language can be at once so ephemeral and so elusive as the overtones of words used in aesthetic contexts; even in our own language it is only with a conscious effort that the appropriate overtones of words used by quite recent critics can be recalled. Such recall must be much (...) more difficult where the reader is concerned with a dead language; in the case of some terms it may well be virtually impossible; but where the ancient critic is discussing ethical criteria for literature, as Aristotle does in Poetics 13, the modern interpreter is in a somewhat better position, for ethical terms are used in wider contexts, contexts which involve action, and there is more opportunity for studying their usage and endeavouring to recapture their elusive overtones. (shrink)

Savulescu has recently introduced the "rational non-interventional paternalist" model of the patient-doctor relationship. This paper addresses objections to such a model from the perspective of an anaesthetist. Patients need to make their own decisions if they are to be fully autonomous. Rational non-interventional paternalism undermines the importance of patient choice and so threatens autonomy. Doctors should provide an evaluative judgment of the best medical course of action, but ought to restrict themselves to helping patients to make their own choices (...) rather than making such choices for them. (shrink)

Modifying images for scientific publication is now quick and easy due to changes in technology. This has created a need for new image processing guidelines and attitudes, such as those offered to the research community by Doug Cromey (Cromey 2010). We suggest that related changes in technology have simplified the task of detecting misconduct for journal editors as well as researchers, and that this simplification has caused a shift in the responsibility for reporting misconduct. We also argue that the concept (...) of best practices in image processing can serve as a general model for education in best practices in research. (shrink)

The aim of this dissertation is to present a systematic account of F. H. Bradley's philosophy in so far as it is relevant to an understanding of his conception of the nature and criterion of truth. I argue that, for Bradley, the nature of truth is the identity of thought with reality given in immediate experience. There is no absolute separation between thought and its object. Bradley therefore rejects both the correspondence theory and epistemological realism. Thought is not just a (...) mirror which reflects an independently existing reality. ;Concerning the criterion of truth, I argue that his criterion for our ordinary and scientific beliefs is practice, and the criterion for philosophical positions is a kind of coherence based on the doctrine of relative truth. For Bradley, some positions are truer than others, and the best philosophy is a comprehensive system which contains the truth of all different positions. ;Bradley does not accept the coherence theory of justification as it is understood today, since it is based on the standard account of negation and the doctrine of absolute truth. Bradley has a different approach to negation and inconsistency, according to which there are no absolutely inconsistent beliefs. Further, he insists that truth is not absolute but "relative," a matter of degree. All philosophical positions contain some truth, and none is completely false. The truth in philosophy is a position which accounts for the whole of reality and includes all apparently inconsistent positions within it. ;I explain Bradley's place in the history of philosophy and show his connections with the British empiricist tradition. I believe one of Bradley's central concerns is to explain the nature and criterion of truth in philosophy within the constraints of empiricism. I also contrast Bradley's positions on important issues with those of philosophers in the Anglo-American analytic tradition, such as Russell, Moore, Ayer, Tarski, Quine, Churchland, Lehrer and Campbell. I argue that most recent commentators on Bradley overlook the importance of understanding his philosophy as a system constructed according to the doctrine of relative truth. (shrink)

A study of the place of human sexuality in religious systems indicates a possible universal stress on sexual attraction. This could be explained by using the theories of Richard Dawkins and other sociobiologists: the philandering male and the coy female express the best strategies for the survival of the “selfish gene.” Closer analysis of four religious systems throws doubt on these theories. In some systems the strategies are contradicted while in others there is stress on cooperative restraint rather than (...) on survival through selfish propagation. The principal objection to the sociobiological approach is its assumption of conflict between the sexes. (shrink)

Edmund D. Pellegrino has played a central role in shaping the fields of bioethics and the philosophy of medicine. His writings encompass original explorations of the healing relationship, the need to place humanism in the medical curriculum, the nature of the patient’s good, and the importance of a virtue-based normative ethics for health care. In this anthology, H. Tristram Engelhardt, Jr., and Fabrice Jotterand have created a rich presentation of Pellegrino’s thought and its development. Pellegrino’s work has been dedicated to (...) showing that bioethics must be understood in the context of medical humanities, and that medical humanities, in turn, must be understood in the context of the philosophy of medicine. Arguing that bioethics should not be restricted to topics such as abortion, third-party-assisted reproduction, physician-assisted suicide, or cloning, Pellegrino has instead stressed that such issues are shaped by foundational views regarding the nature of the physician-patient relationship and the goals of medicine, which are the proper focus of the philosophy of medicine. This volume includes a preface by Dr. Pellegrino and a comprehensive Introduction by the editors. Of interest to medical ethicists as well as students, scholars, and physicians, _The Philosophy of Medicine Reborn_ offers fascinating insights into the emergence of a field and the work of one of its pioneers. “After a long period of dormancy, philosophy of medicine has blossomed with new life. The single most important physician-philosopher in that rebirth has been Edmund Pellegrino. His contributions to virtue theory, the concept of beneficence, the dispute over the internal and external sources of a morality for medicine, and the role of the Hippocratic tradition are all critical. The essays collected in this volume have changed the history of the philosophy of medicine. He shows that philosophy of medicine can be done with both passion and compassion.” —_Robert M. Veatch, Kennedy Institute of Ethics, Georgetown University_ “Edmund Pellegrino's words have helped medical students, faculty, scholars and patients address the challenges they encounter in medicine and medical practice. His personal support has also been critical for many of us in developing programs in medical ethics and philosophy of medicine in our universities. Dr. Pellegrino combines the wisdom of a great physician with those of a great philosopher to produce a body of writing that will continue to inspire us all. This volume contains some of his best and most influential work.” —_Loretta Kopelman, The Brody School of Medicine, East Carolina University_ _ _ “Edmund Pellegrino has been a leading light in the philosophy of medicine for a generation. He was instrumental in the birth of bioethics, founded one of the leading journals, and provided able leadership in organizing early activities of the profession. He has served as department chairman, dean, and university president. Most recently, he chairs the President’s Council on Bioethics. In all this, first and foremost, he has been a physician. Those who are ill and suffering make a claim upon him. To respond to this claim, Pellegrino creatively brings together the worlds of science and of the humanities. For him, that is what medicine is about, making it the most scientific of the humanities and the most humane of the sciences. Fortunately for us, Pellegrino brings these worlds together in thought, as well as in practice. In this selection from his writings, Engelhardt and Jotterand have captured the heart of Pellegrino’s project, both in depth and breadth, so we can also hear that claim of the ill and so we can see what worlds must come together if we are to respond in the appropriate way.” —_George Khushf, University of South Carolina_ “Pellegrino’s work is both a treasure and important for understanding bioethics. His work in philosophy of medicine addresses the crucial questions that are so important to understanding the practice of medicine and the ethics of health care.” —_Kevin Wildes, President, Loyola University_ _ _. (shrink)

No one has as yet done for Italy what Rohde's Psyche did for Greece, and the reason is not far to seek. Rohde had at his disposal a large amount of literary material, of which no one could doubt that it represented Greek feeling and practice of various ages; but the investigator of the corresponding Italian field is met with a twofold difficulty. He must in the first place discard a great deal of the written records, because they clearly reflect, (...) not native ideas, but those which were common to the ancient world in Hellenistic times. He is then left with a very few scanty documents, which refer, not to Italy as a whole, but practically without exception to Rome, or, at any rate, to districts strongly Romanized. To add to his perplexities, he has a great mass of archaeological evidence for all ages, from the palaeolithic onwards, which, as it is unwritten, he must interpret as best he may, bearing in mind the very wide margin of error in all such attempts, and reconcile, if he can, with what the classical authors tell him. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Diacritics 29.4 (1999) 135-149 [Access article in PDF] Ghostly Comparisons: Anderson's Telescope H. D. Harootunian While the formation of area studies in the universities and colleges of the United States was initially inaugurated as a response to the Cold War "necessity" to win the hearts and minds of the unaligned, many of whom were new refugees of decolonization, one of its unintended consequences was to foster the development of (...) comparative perspectives of study across disciplines and different cultural regions. But this secondary goal was often diverted by the principal purpose of area studies programs to supply authoritative information on regions outside of Euro-America (the second and third worlds) considered crucial to the national security and to private businesses thrown increasingly into an expanding global market seeking new regions capable of providing buyers, workers, and materials. In time, the vocation of comparison became part of the unconscious of area studies, as the unit of the nation-state took precedence over all other considerations. Instead of envisaging genuinely interdisciplinary agendas that were able to integrate different disciplines, area studies have too often settled for simple multidisciplinarism, substituting coverage for comparison, language acquisition for method, the nation-state for the totality of the cultural region. Benedict Anderson's recent Spectre of Comparisons reminds us of the role played by area studies programs in the American academic profession during the nervous days of the Cold War and the wartime exigencies that led to their postwar organization and installation in a number of universities. But it also recalls for us the comparative promise associated with area studies and how it was either redirected to a multidisciplinary approach poorly disguised as interdisciplinarism or simply incorporated into large developmental narratives like modernization theory. It is instructive to see how Anderson's own work, rather than Southeast Asian area studies, has been able to achieve the remote goal of integration and comparison in a number of stunning examples that have eluded the collective efforts of many institutional programs. This singular success magisterially discloses how he was trained to envisage the region as a "unified" area studies program, even though little more than a geographical term named this unity, and what he needed to do to actually realize the dim prospect of achieving some sort of larger, integrated understanding, which was eventually inscribed in his seminal book, Imagined Communities. At the most basic level, Anderson was able to secure this effect first by roaming around the area (turning his banishment from Indonesia in 1972 to good use by shifting his attention to Thailand and then the Philippines). Yet, as his essays show, there were other, more intellectually and epistemologically compelling reasons which, if amplified, might provide such diversity with a sense of commonality that only geography and the putatively integrative approach of an area studies program seemed willing to promise even as they failed to deliver.Anderson situates his own intellectual trajectory within the institutional circumstances of the region as an area studies which he and his contemporary fellow students "helped give a certain reality" [Spectre 19]. In fact, "Southeast Asia" has always been [End Page 135] the common frame that structured the particular relationship between Europe of the colonizers and its Asian colonized and thus became the location that best exemplified for him the peculiar nature of the "haunting," as he puts it, as both the place of comparison and the necessity of comparability. In other words, Southeast Asia was the locus that best afforded a sighting of the spectacle of specters that recalled authorizing sister images in Europe and provided a perspective that was necessarily comparative. In Anderson's reckoning, comparison first referred to the circulation of images between metropole and colony and secondly between the various colonial sites that constituted Southeast Asia. As a result, Southeast Asia, and by extension all colonies, became the overdetermined place of haunting.Beyond the agency of the war, of course, was the experience of colonialism and those first modern interpreters of Asia who, as administrators, spent long years in the field serving imperial bureaucracies and who were in the incomparable position of examining such sites... (shrink)

This paper reports two cases in Hong Kong involving two native Chinese adolescent cancer patients (APs) who were denied their rights to consent to necessary treatments refused by their parents, resulting in serious harm. We argue that the dynamics of the 'AP-physician-family-relationship' and the dominant role Chinese families play in medical decision-making (MDM) are best understood in terms of the tendency to hierarchy and parental authoritarianism in traditional Confucianism. This ethic has been confirmed and endorsed by various Chinese writers (...) from Mainland China and Hong Kong. Rather than giving an unqualified endorsement to this ethic, based more on cultural sentimentalism than rational moral reasoning, we warn that a strong familism in MDM, which deprives 'weak' family members of rights, represents the less desirable elements of this tradition, against which healthcare professionals working in this cultural milieu need to safeguard. Specifically for APs, we suggest that parental authority and family integrity should be re-interpreted in terms of parental responsibility and the enhancement of children's interests respectively, as done in the West. This implies that when parents refuse to consent to necessary treatment and deny their adolescent children's right to consent, doctors, as the only remaining advocates of the APs' interest, have the duty to inform the state, which can override parental refusal to enable the doctors to fulfill their professional and moral obligations. In so doing the state exercises its 'parens patriae' power to defend the defenseless in society and the integrity of the medical profession. (shrink)

This new edition of William James’s 1909 classic, A Pluralistic Universe reproduces the original text, only modernizing the spelling. The books has been annotated throughout to clarify James’s points of reference and discussion. There is a new, fuller index, a brief chronology of James’s life, and a new bibliography—chiefly based on James’s own references. The editor, H.G. Callaway, has included a new Introduction which elucidates the legacy of Jamesian pluralism to survey some related questions of contemporary American society. -/- A (...) Pluralistic Universe was the last major book James published during his life time. It is a substantial philosophical work, devoted to a thorough-going criticism of Hegelian monism and Absolutism—and the exploration of philosophical and social-theological alternatives. Our world of some one hundred years on is much the better for James’s contributions; and understanding James’s pluralism deeply contributes even now to America’s self-understanding. At present, we are more certain that American is, and is best, a pluralistic society, than we are of what particular forms our pluralism should take. Keeping an eye out for social interpretations of Jamesian pluralism, this new philosophical reading casts light on our twenty-first century alternatives by reference to prior American experience and developments. -/- . (shrink)

Preimplantation genetic diagnosis (PIGD) goes some way to meeting the clinical, psychological and ethical problems of antenatal testing. We should guard, however, against the assumption that PIGD is the answer to all our problems. It also presents some new problems and leaves some old problems untouched. This paper will provide an overview of how PIGD meets some of the old problems but will concentrate on two new challenges for ethics (and, indeed, law). First we look at whether we should always (...) suppose that it is wrong for a clinician to implant a genetically abnormal zygote. The second concern is particularly important in the UK. The Human Fertilisation and Embryology Act (1990) gives clinicians a statutory obligation to consider the interests of the future children they help to create using in vitro fertilisation (IVF) techniques. Does this mean that because PIGD is based on IVF techniques the balance of power for determining the best interests of the future child shifts from the mother to the clinician? (shrink)

The temptation story in Matthew is a kind of warning. . . . If we take this warning seriously, then, we may be able to discern the features of a radically unique Messiah who acts and speaks in contradiction to the normal and the usual, who, therefore, denies in his work the best of human expectations as well as the worst of human characteristics.

If we were to name the two greatest mathematicians of antiquity, we would probably choose Archimedes and Euclid. The first excelled in research, the second in synthesis or system. The synthesis or system is closely associated with the theory or philosophy of that subject; and Euclid's Elements, which has been characterized as “one of the noblest monuments of antiquity”, is the best concrete instance of the theory of mathematics according to the ancient Greeks. Now Aristotle had a theory of (...) mathematics, although he was not a practicing mathematician. It is the purpose of this article to show that the mathematical method according to Aristotle is superior to and more modern than that according to Euclid. For references to Aristotle's works we shall use pages and lines according to the standard Bekker's edition. By “a number” we shall mean a positive integer or a whole number. We proceed to a brief outline of Euclid's Elements. (shrink)

This paper explicates and defends a social-naturalist conception of internationality and intentions, where internationality of scientific expressions is fundamental. Meanings of expressions are a function of their place in language-systems and of the relations of systems to object-level evidence and associated community activities-including deliberation and experiment. Naturalizing internationality requires social-intellectual reconstruction exemplified by the scientific community at its best. This approach emphasizes normative elements of pragmatic conceptions of meaning and their function in orientation. It requires social conditions and intellectual (...) practices making knowledge of intentions possible. Scientific ends, methods, and meanings, together, constitute culturally evolved instruments of adaptation to, and reconstruction of, physical and cultural environments. (Reprinted in Meaning without Analyticity.) -/- . (shrink)

Most of the commentaries on Greek authors which circulated in the towns of Egypt during the late Ptolemaic and early Imperial periods ignored the critical and colometrical problems which had engaged the attention of the great Alexandrian grammarians. A few, however, based themselves on texts equipped with signs, included the signs in their lemmata and offered explanations. Such commentaries must be the source of the scattered references to signs in the older marginal scholia in Byzantine manuscripts of Homer, Hesiod, Pindar (...) and the Attic dramatists. The only Byzantine manuscript to transmit a pagan text still equipped with a large number and a variety of signs, namely cod. Venice, Bibl. Marc. gr. 454, is also the only one to transmit scholia with lemmata retaining prefixed signs. Just as texts and scholium-lemmata lost their signs in the course of transmission, so too did references to signs within scholia either disappear or become garbled. At best, a statement about the reasons for affixing a sign would turn into one about the content or style of the verse in question. The few mentions made of the great Alexandrians give no cause for thinking that we ever have a verbatim quotation of an πόμνημα written by one of them in order to explain his own signs. Time and again it is demonstrable that an explanation of a sign's presence against a particular verse goes back to some writer like Aristonicus. What survives of the ancient discussion of Latin literature is exiguous in comparison with the Greek material. (shrink)