This paper explores the nature of the language used when teaching mathematics to young children. It proposes that an important part of the teaching of a mathematical concept is the introduction of specific terminology. Children may need to be taught new meanings for already familiar words. The timing of these introductions to new words or meanings is critical to their understanding of the concepts being taught. It will be argued that there are two aspects of the children's learning that need (...) to be considered. First, their understanding of the concept being introduced, and secondly, their learning the appropriate word to describe that concept. By assessing children's understanding of new mathematical concepts through their own use of the terminology, the teacher can then negotiate new meanings with them through practical experiences, introducing new word meanings only when the concepts have been understood. (shrink)

This article examines whether the concept of ‘professionalism’ as applied to the legal profession serves any useful guide as to how lawyers should act. Professionalism is defined in terms of civility for the purposes of this article and considered against the backdrop of a perceived ‘decline’ in professionalism in the legal profession. Arguably, professionalism is all too often subsumed under the heading of ethics in both common parlance and in course content in law schools where Ethics, Professional Responsibility are part (...) of the curriculum with little weight given to professionalism per se. This article reflects, in part, on the student perception as to the state of the profession garnered from their responses to an assessment task at an Australian university. The issue is ripe for further discussion given that in Australia, the Law Admissions Consultative Committee has queried whether the teaching of Ethics should be withdrawn from the core curriculum. The article queries if there is in fact a ‘decline’ in standards and civility and, if so, considers the potential to arrest this ‘decline’ by the profession, universities and students working together to revive ‘professionalism’. (shrink)

Valerius Maximus’ Facta et dicta memorabilia provide an opportunity of seeing how an undistinguished talent responded to the demise of the republic and the establishment of an imperial system. Fergus Millar has argued that we should view Valerius as a contemporary of Ovid, that is as an author influenced by the last years of Augustus and writing in the early years of Tiberius’ reign, but the internal evidence of Facta et dicta memorabilia better fits publication in the early 30s a.d. (...) in the aftermath of Sejanus’ unsuccessful conspiracy. Although this does distance Valerius further from the key years of transition, he is not remote—and because of the relative paucity of prose authors of the period his presentation of the domus Augusta and of Augustus and Tiberius repays attention. (shrink)

In her well-known paper ‘Modern Moral Philosophy’ G. E. M. Anscombe makes the following assertion: ‘he [Sidgwick] thinks that humility consists in underestimating your own merits—i.e. in a species of untruthfulness’. I should like to show that this is not so.

What happened in the aftermath of Caligula's assassination in January A.d. 41 in relation to the client kings of the period has been the subject of a stimulating note by A. A. Barrett. He has argued that a rescission of Caligula's acta invalidated the legal position of the client kings appointed by Caligula, and that Claudius’ regularising of their position has been misunderstood by the ancient literary sources and has given rise to several apparent inconsistencies in their accounts.

Tacitus gives lavish treatment to the mutiny of the German legions in the aftermath of Augustus' death in a.d. 14 and provides an excellent centrepiece in a speech by Germanicus to the troops of the Lower German army at Ara Ubiorum . After the harsh treatment of a delegation from Rome, Germanicus responded to requests that he send Agrippina and Caligula to safety. As the family was leaving the camp the troops surrounded Germanicus, who moved them to repentance by his (...) speech. Previous writers have already discussed particular debts to Livy and to Virgil, but none has, I think, pointed to the most likely source for Germanicus' opening remarks: ‘Non mihi uxor aut filius patre et re publica cariores sunt…’. Goodyear dismisses the sentiment as a variety of the ‘commonplace’. that the state was more important than the individual and refers the reader to Béranger. However, none of these passages is as close or as pointed as the examples I consider below. (shrink)

A growing number of healthcare practices implicate serious moral concerns for growing numbers of healthcare providers. Social, legal, and medical developments, including abortion, contraception, euthanasia, withdrawal of feeding, blood transfusions, organ transplants, and routine autopsies, have put healthcare providers in the vortex of some of society's most controversial moral dilemmas.

In conversation, and in the company of a new generation of scholars working in the field, Nigel Rapport and Huon Wardle re-explore the terrain and meaning of cosmopolitan studies now. This book offers a new survey and theorisation of cosmopolitan research, a burgeoning topic responding to increasingly complex patterns of human interaction in world society. It considers the question of cosmopolitan methodology: what are the methods needed for, or elicited by, studying cosmopolitan situations? and how are we to remain (...) faithful to the heteronomous human interiority and intentionality from which cosmopolitan moments are constructed? The volume focuses on the open-ended moment of ethnographic fieldwork that generates the concepts and methods needed to understand contemporary cosmopolitanization. The chapters cover a wide range of ethnographic situations and open up debate on what are the opportunities and responsibilities of a cosmopolitan anthropology in its exploration of human difference and commonality. (shrink)

The philosophical contemplation of “first philosophy” is as old as Western philosophy itself, and yet “first philosophy” is often eschewed in contemporary philosophical thought. This is because attempts at arriving at a first philosophy have often been steeped in metaphysical thinking that aims at non-finite foundations as the constitutive ground of human reality. However, in our contemporary world in which metaphysical postulates render themselves increasingly outmoded and immaterial, can we still speak of first philosophy today? This is to ask whether (...) or not it may be possible to formulate a first philosophy based on strictly finite principles. This article seeks to demonstrate that the concept of finite “existence” can be read as first philosophy in the contemporary thought of Jean-Luc Nancy (1940–2021). Firstly, a conceptual analysis on the concepts of “being” and “existence” will be carried out with the express purpose of trying to ascertain the meaningful difference between these two concepts in Nancy’s thought, if indeed such a difference exists at all. From this conceptual analysis, it will be demonstrated that Nancy consistently and effectively elevates the concept of finite existence to philosophical primacy above that of non-finite being and, as a result, brings to light the possibility of (re)thinking existence as first philosophy in Nancy’s thought. (shrink)

The text in Annals 4.28.1 has exercised scholars' attention since the rediscovery of Tacitus in the Renaissance. The text of the Medicean manuscript for the central words reads: ‘vinctus peroranti filio praeparatur’. Two problems have been perceived: firstly that praeparatur lacks an expressed subject, although from the context it is perfectly clear that Serenus senior is meant; secondly, the meaning of praeparatur itself.

Historians of antiquity are trained to be suspicious of accounts that may retroject onto the early years of figures, who were later dominant, positive traits that plausibly were exhibited only later, in essence the creation of a mythology. In the case of the Emperor Augustus, who exercised a firm control on the Roman world for over forty years after the defeat of his rival M. Antonius and introduced a new form of government, the probability that the years of his ascent (...) to supreme power were subjected to careful recasting is very high. Here I examine an argument that was presented in 2004 on the very beginning of Octavian's public life, which, if correct, reveals a stuttering start by a young man inexperienced in the realities of Roman politics at a tumultuous moment in Roman history. (shrink)

As he draws toward the conclusion of a lengthy string of Romanexemplaon the topic ofmoderatio, a virtue highly regarded by the reigning Emperor Tiberius, Valerius introduces a brief discussion on the challenges he faces in producing the kind of account he wants to create. Unfortunately, for a rare passage in which Valerius speaks about his own work, the text is uncertain: various problems have been identified and different solutions have been proposed, but not, I will argue, ones that satisfactorily recognize (...) the prominence of Valerius’ authorial role here or understand his meaning or pay appropriate attention to the immediate context in which he makes his remarks. I propose a new emendation which helps clarify that the primary challenge concerns the scale and the style of coverage of individualexemplarequired by theFacta et dicta memorabilia. I will show that Valerius deliberately alludes to his own programmatic remarks in the work's preface, which then illuminate his purpose and practice, both broadly in relation to his mission to record and praise outstanding individuals and more narrowly in providing a transition to a specificexemplum. (shrink)

The correct positioning of organs during embryonic development requires multiple cues. The Xenopus cement gland is a mucus‐secreting epithelium that is a simple model for organogenesis, allowing detailed analysis of this complex process. The cement gland forms at a conserved anterior position, where embryonic ectoderm and endoderm touch. In all deuterostomes, this region will form the stomodeum (primitive mouth) and, in some aquatic larva, will also form a cement gland. In recent years, a model has been put forward suggesting that (...) an intermediate level of BMP signaling in the ectoderm leads to cement gland formation. We propose an alternative model whereby, during gastrulation, the cement gland (CG) is positioned by the overlap of three domains, corresponding to anterodorsal identity (AD), ventrolateral identity (VL), and ectodermal outer layer identity (EO), defining the equation (AD + VL + EO = CG). Anterodorsal identity requires a contribution by the transcription factor Otx2 while ventrolateral identity requires the BMP4 signaling pathway. These postional cues are integrated to activate cement gland differentiation. This integration appears to require intermediate steps, including expression of pitx genes, and members of the ATF/CREB and Ets transcription factor families. BioEssays 25:717–726, 2003. © 2003 Wiley Periodicals, Inc. (shrink)

Since the publication of Edmund Gettier's challenge to the traditional epistemological doctrine of knowledge as justified true belief, Roberts and Wood claim that epistemologists lapsed into despondency and are currently open to novel approaches. One such approach is virtue epistemology, which can be divided into virtues as proper functions or epistemic character traits. The authors propose a notion of regulative epistemology, as opposed to a strict analytic epistemology, based on intellectual virtues that function not as rules or even as skills (...) but as habits of the heart. To that end, they divide the task of clarifying and expounding their notion in the book's two parts.In the first part, Roberts and Wood examine various components that constitute their notion of regulative epistemology. The first are the epistemic goods or goals that drive the epistemic process. What is needed, claim Roberts and Wood, is an enriched notion of these goods rather than the restricted notion of justified true belief. Epistemic agents are more than calculating devices in that …. (shrink)

In this paper, I contest increasingly common "realist" interpretations of Hegel's theory of "the concept" (der Begriff), offering instead a "isomorphic" conception of the relation of concepts and the world. The isomorphism recommended, however, is metaphysically deflationary, for I show how Hegel's conception of conceptual form creates a conceptually internal standard for the adequacy of concepts. No "sideways-on" theory of the concept-world relationship is envisioned. This standard of conceptual adequacy is also "graduated" in that it allows for a lack of (...) fit between concept and world. The possibility for a "maximally isomorphic" fit between concept and world obtains through the teleological realization of concepts, which marks especially the "artificial" world of human culture (law, art, religion, etc.). Some of the most seemingly exaggerated claims Hegel makes about the concept, I contend, can be understood when we consider the significance Hegel ascribes to human making, which is provided for in his conceptual theory. But my framework provides an interpretive key for the way Hegel sees concepts imperfectly realized in the natural world as well. (shrink)

In this article, I argue that Brad Hooker's rule-consequentialism implausibly implies that what earthlings are morally required to sacrifice for the sake of helping their less fortunate brethren depends on whether or not other people exist on some distant planet even when these others would be too far away for earthlings to affect.

Claims about ‘the meaning of life’ have tended to be made and discussed in conjunction with bold metaphysical and theological affirmations. For life to have meaning, there must be a comprehensive divine plan to give it meaning, or there must be an intelligible cosmic process with a ‘telos’ that a man needs to know if his life is to be meaningfully orientated. Or, it is thought to be a condition of the meaningfulness of life, that values should be ultimately ‘conserved’ (...) in some way, that no evil should be unredeemable and irrational. And it may be claimed that if death were to end our experience, meaninglessness would triumph. (shrink)

We present our personal view on W.J. Blok's contribution to modal logic.

This history of theories and theorists of economic growth elucidates the economic theory, economic history, and public policy observations of the renowned scholar W. W. Rostow. Looking at the economic growth theories of the classic economists up to 1870, Rostow compares Hume and Adam Smith, Malthus and Ricardo, and J.S. Mill and Karl Marx. He then examines the period 1870-1939 and its economic theorists, including Schumpeter, Colin Clark, Kuznets, and Harrod, and surveys the three forms of growth analysis in the (...) postwar era: formal models, statistical morphology, and development theories. This authoritative overview also includes an agenda of unresolved problems in growth analysis and a description of the five major tasks statesmen will confront over the next several generations. (shrink)

Mill's feminism has been attacked as being logically incoherent. The general verdict has been that Mill can easily be defended from the charge. However, both sides in the debate have ignored the fact that his feminism is part of a broader theory of liberal empiricism. Placing The Subjection of Women in this context re–opens the question of its logical credentials and reveals a basic weakness in Millian feminism.

In lieu of an abstract, here is a brief excerpt of the content:The Vagaries and Vicissitudes of WarRichard W Sams III remember standing in the kitchen of our home on Camp Pendleton—a United States Marine Corps base in Southern California—listening to National Public Radio (NPR) and doing dishes in the fall of 2002. President Bush announced to the world that he was considering a pre-emptive invasion of Iraq on the pretext of Saddam Hussein harboring weapons of mass destruction (WMD). Three (...) months later, as a Navy Family Physician, I deployed with a surgical company in support of Operation Iraqi Freedom. Reflecting on the situation with a like-minded close friend, I was not sure— would this be a just war? A necessary war? In my mind, it did not rise to the level of conscientious objection, yet the rightness of invading another country with all the anticipated death and destruction was not clear.En route to Kuwait, we laid over in Spain. While fixed to a TV in a holding area, I watched the Secretary of State make a case to the United Nations (UN) and the world that removing Hussein from power would protect us from mobile anthrax labs that could kill tens of thousands. I thought to myself, Either he is absolutely right, and we are protecting our country and the rest of the free world, or he is terribly mistaken and we are embarking on a disaster.As we trained, prepared, and waited in our tents to invade, we listened to the news on “Voice of America” with a hand crank radio. Thousands of citizens from nations around the world protested. Pope John Paul II, a man well acquainted with the tragedy of war, even spoke out about the planned invasion. “War is not inevitable. It is always a defeat for humanity.” He admonished our leaders that war needed to be the very last option. As a man of faith, I was troubled by his resolute, thoughtful opposition to the crusade I was embarking on. As the day of the invasion approached, scud missiles flew over our camp and we scurried into bunkers, day and night, with our gas masks donned to protect us from possible WMD attacks. In March, with the announcement of a “shock and awe” missile attack on Hussein’s palace, the invasion commenced.Within a day of flying by helicopter into enemy territory to set up a surgical company, the fog of war set in. A series of mass casualties streamed in from nearby Nasiriya. We received dozens of injured enemy combatants and American soldiers. Most troubling were the civilians. An entire extended family fleeing for their lives stumbled into an Iraqi minefield meant for us: a mother dead, the men with shrapnel wounds, and an aunt lost both of her legs. Then there was the little boy. By doctrine, our leaders reassured us we would not care for children. Yet, out of instinct, the field corpsmen scooped up all injured, including children, and [End Page 170] brought them to us. The five-year-old’s legs were blown to bits. We had no pediatric supplies. The anesthesiologist heroically intubated the child’s tiny airway with a urinary catheter and placed an adult IV. The surgeons corrected the wounds the best they could. Hours later, in futility, we performed chest compressions on his tiny mangled body.A day later, the worst sandstorm in a decade struck the area. We struggled to keep the patient-filled tents erect. A Marine appeared on the scene out of the darkness (you could not see beyond your nose in the storm) exclaiming we were going to condition one—lock and load our weapons due to an imminent threat. As healthcare professionals, Geneva Conventions dictated we were to use weapons only in self-defense. We chambered our 9-millimeter pistols to defend our patients and ourselves while Marines formed a defensive perimeter. I thought to myself, Great I’m gonna be shot up and die during a freaking sandstorm in Iraq. Hours later, we were told to stand down. The threat was not from approaching enemy combatants but from shepherds running from the crossfire. I had a small nervous breakdown, sleep deprived and under duress... (shrink)

We all ‘know’ that public opinion came to prominence in the political vocabulary of the late eighteenth century. It may be that this dates its rise a bit late, but it is not relevant to argue the matter here. My concern is rather that we be equally aware of the purposes for which people made use of the concept. Here I wish to consider various possible contexts for speaking or writing of public opinion, or ‘opinion’, as it was usually called (...) prior to the mid-eighteenth century. It may be possible to define, more fully than heretofore, the work that the expression did in eighteenth-century thought. As contemporary students of public opinion have been learning, an answer to this question may not even be wholly irrelevant to the task of specifying the nature of public opinion in our own time. (shrink)