As past president of both the History of Science Society and the American Society of Church History, Ronald L. Numbers is uniquely qualified to assess the historical relations between science and Christianity. In this collection of his most recent essays, he moves beyond the clichés of conflict and harmony to explore the tangled web of historical interactions involving scientific and religious beliefs. In his lead essay he offers an unprecedented overview of the history of science and Christianity from the (...) perspective of the ordinary people who filled the pews of churchesor loitered around outside. Unlike the elite scientists and theologians on whom most historians have focused, these vulgar Christians cared little about the discoveries of Copernicus, Newton, and Einstein. Instead, they worried about the causes of the diseases and disasters that directly affected their lives and about scientists preposterous attempts to trace human ancestry back to apes. Far from dismissing opinion-makers in the pulpit, Numbers closely looks at two the most influential Protestant theologians in nineteenth-century America: Charles Hodge and William Henry Green. Hodge, after decades of struggling to harmonize Gods two revelationsin nature and in the Biblein the end famously described Darwinism as atheism. Green, on the basis of his careful biblical studies, concluded that Ussher's chronology was unreliable, thus opening the door for Christian anthropologists to accommodate the subsequent discovery of human antiquity. In Science without God Numbers traces the millennia-long history of so-called methodological naturalism, the commitment to explaining the natural world without appeals to the supernatural. By the early nineteenth century this practice was becoming the defining characteristic of science; in the late twentieth century it became the central point of attack in the audacious attempt of intelligent designers to redefine science. Numbers ends his reassessment by arguing that although science has markedly changed the world we live in, it has contributed less to secularizing it than many have claimed. Taken together, these accessible and authoritative essays form a perfect introduction to Christian attitudes towards science since the 17th century. (shrink)

Like other English-speaking peoples around the world, New Zealanders began debating Darwinism in the early 1860s, shortly after the publication of Charles Darwin's Origin of Species. Despite the opposition of some religious and political leaders – and even the odd scientist – biological evolution made deep inroads in a culture that increasingly identified itself as secular. The introduction of pro-evolution curricula and radio broadcasts provoked occasional antievolution outbursts, but creationism remained more an object of ridicule than a threat until the (...) last decades of the twentieth century, when first American and then Australian creationists began fomenting antievolutionism among New Zealanders. Although Stephen Jay Gould assured them in 1986 that they had little to fear from so-called scientific creationism, because it was a ‘peculiarly American’ phenomenon, scientific creationism by the mid-1990s had captured the allegiance of an estimated five per cent of the country and proved especially attractive to Maori and Pacific Islanders. In 1992 New Zealand creationists formed their own antievolution society, Creation Science. (shrink)

While the presence or absence of consciousness plays the central role in the moral/ethical decisions when dealing with patients with disorders of consciousness (DOC), recently it is criticized as not adequate due to number of reasons, among which are the lack of the uniform definition of consciousness and consequently uncertainty of diagnostic criteria for it, as well as irrelevance of some forms of consciousness for determining a patient’s interests and wishes. In her article, Dr. Specker Sullivan reexamined the meaning (...) of consciousness in the DOC taxonomy and proposed to go away from the routinely used clinical definition of consciousness as “wakeful awareness”, and adopt the meaning that is common in the Eastern tradition which is a form of “pure experience” (Specker Sullivan 2018). She further argued that understanding consciousness as a “pure experience” is ethically relevant for DOC patients. This suggestion is original, novel and important since it preserves the importance of the notion of consciousness for the clinical practice while simultaneously offering an additional ethical tool for the moral decisions in medicine. At the same time, without placing such Eastern notion in the Western tradition it is difficult to see how pure experience could be usefully operationalized to make sense in the clinical practice with DOC patients. It is so because pure experience is a subjective phenomenon which is completely inaccessible in noncommunicative DOC patients and also it does not express behaviorally (Monti et al 2010), therefore some objective-like operationalization is needed. This is why the fusion of Eastern and Western traditions is required to gain the full potential of Dr. Specker Sullivan’s suggestion. We propose that such fusion could be achieved on the basis of the Operational Architectonics (OA) theory of brain-mind functioning (Fingelkurts et al. 2010; 2013a) which suits ideally the purpose due its compatibility with both Western and Eastern traditions of consciousness. (shrink)

Few notions are more central to Aquinas’s thought than those of matter and form. Although he invokes these notions in a number of different contexts, and puts them to a number of different uses, he always assumes that in their primary or basic sense they are correlative both with each other and with the notion of a “hylomorphic compound”—that is, a compound of matter (hyle) and form (morphe). Thus, matter is an entity that can have form, form is an entity (...) that can be had by matter, and a hylomorphic compound is an entity that exists when the potentiality of some matter to have form is actualized.1 What is more, Aquinas assumes that the matter of a hylomorphic compound explains certain of its general characteristics, whereas its form explains certain of its more specific characteristics. Thus, the matter of a bronze statue explains the fact that it is bronze, whereas its form explains the fact that it is a statue. Again, the matter of a human being explains the fact that it is a material object, whereas its form explains the specific type of material object it is (namely, human). My aim in this chapter is to provide a systematic introduction to Aquinas’s primary or basic notions of matter and form. To accomplish this aim, I focus on the two main theoretical contexts in which he deploys them—namely, his theory of change and his theory of individuation. In both contexts, as we shall see, Aquinas appeals to matter and form to account for relations of sameness and difference holding between distinct individuals. (shrink)

The article examines the situation of the presence of virtual voices in modern reality. The voices of virtual assistants model a new relationship between voice and face, with anonymity and depersonalization being a priority. The closeness of the face from the voice peculiar to virtual assistants, the detachment of the voice from the facial "accompaniment", the fundamental possibility of the existence of a voice without a face — all this gives the voice as an anthropological and cultural phenomenon of modernity (...) fundamentally new parameters. Digital "logic" implies a departure from the human logos, which can be clearly seen in the example of the problem of "gender" of artificial assistants. Special attention is paid to the problem of correlation of voice and artificial intelligence. Artificial intelligence as an organizational form of cognition acquires a voice, merges with a voice, becomes a voice. The universal scale of the claims of virtual voices requires theological reflection, because the religious experience of "working" with voices, represented in a wide range of world religions, is able to offer a unique interpretation of the role of the voice in modern times. Internet voices can be called into the liturgical space, where they will be asked to sound in new registers and keys. Digital religion appears as a new liturgical reality, a new common cause. It is significant that the non-spiritual technogenic environment can only offer emptiness — the emptiness of digital dehumanization. Digital-humanitarian unity can be built on the adoption of a spiritual foundation, based on the conclusion of a "pact" on cooperation between the spiritual experience of mankind and cyber-information perspectives. (shrink)

The first unquestionably big idea in the history of philosophy was the idea of form. The idea of course belonged to Plato, and was then domesticated at the hands of Aristotle, who paired form with matter as the two chief principles of his metaphysics and natural philosophy. In the medieval period, it was Aristotle’s conception of form and matter that generally dominated. This was true for both the Islamic and the Christian tradition, once the entire Aristotelian corpus became available. For (...) this reason, although there is much to say about the fate of Platonic Forms in medieval thought, the present chapter will focus on the Aristotelian tradition.1 Aristotelian commentators have been puzzled by form and matter for as long as there have been Aristotelian commentators. Indeed, it would not be too much to say that these are topics about which Aristotelians have never formed a very clear conception, and that their failure to do so was the principal reason why Aristotelianism ceased to be a flourishing research program from the seventeenth century onward. For those who aspire to a modern revival of Aristotelianism, the concepts of form and matter can easily take on the aspect of a kind of Holy Grail, such that if only we could get these ideas clearly in focus, we could see our way forward on any number of philosophical fronts, such as the union of mind and body, the coherence and endurance of substances, the nature of causality, and so on. The historical record, however, suggests that this hope is a snare and delusion, insofar as there has never been any such thing as the theory of form and matter. Although medieval philosophers of all kinds used this terminology incessantly, it had no more of a fixed meaning than does the ubiquitous contemporary philosophical talk of “properties.” Hence, the most a general survey of the topic can do is consider some of the more important areas of agreement and disagreement. (shrink)

Background Community advisory boards have expanded beyond high-income countries and play an increasing role in low- and middle-income country research. Much research has examined CABs in HICs, but less is known about CABs in LMICs. The purposes of this scoping review are to examine the creation and implementation of CABs in LMICs, including identifying frequently reported challenges, and to discuss implications for research ethics. Methods We searched five databases for publications describing or evaluating CABs in LMICs. Two researchers independently reviewed (...) articles for inclusion. Data related to the following aspects of CABs were extracted from included publications: time, country, financial support, research focus, responsibilities, and challenges. Thematic analyses were used to summarize textual data describing challenges. Results Our search yielded 2005 citations, 83 of which were deemed eligible for inclusion. Most studies were published between 2010 and 2017. Upper-middle-income countries were more likely to have studies describing CABs, with South Africa, China, and Thailand having the greatest numbers. The United States National Institutes of Health was the main source of financial support for CABs. Many CABs focused on HIV research. Thirty-four studies reported how CABs influenced the informed consent process for clinical trials or other aspects of research ethics. CAB responsibilities were related to clinical trials, including reviewing study protocols, educating local communities about research activities, and promoting the ethical conduct of research. Challenges faced by CABs included the following: incomplete ethical regulations and guidance; limited knowledge of science among members of communities and CABs; unstable and unbalanced power relationships between researchers and local communities; poor CAB management, including lack of formal participation structures and absence of CAB leadership; competing demands for time that limited participation in CAB activities; and language barriers between research staff and community members. Several challenges reflected shortcomings within the research team. Conclusions Our findings examine the formation and implementation of CABs in LMICs and identify several ethical challenges. These findings suggest the need for further ethics training among CAB members and researchers in LMICs. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Form and Discontent*Rosmarie Waldrop (bio)1. Composition as ExplanationIn the beginning there is Gertrude Stein, who says in “Composition as Explanation”: “Everything is the same except composition and as the composition is different and always going to be different everything is not the same” [520].I could also say, in the beginning is Aristotle: “the fable is simply this, the combination of the incidents” [1460].2. A Look AroundThe forms that (...) have been striking me as “wild” have tended to be Steinian in this sense of stressing the horizontal, the axis of composition. I’m most struck by 3 tendencies: one is literally spatial composition, e.g. Susan Howe’s work; another, an emphasis on discontinuity, leaps on the level of syntax, of logic, of grammar. Breaks that do not immediately fold back into a smooth unity and may occur in mid-sentence:I was on my way from Carthage, it was night. It is not wax I am scorching was dead about her with knots.—Norma Cole, MarsI hide behind a category by misbehaving.—Carla Harryman, Under the BridgeLoop conceived in a line, the spine with its regions, reasons. On another, sweaters hang by the wrist to dry. The list is sweet. You lie. The eye is met by the season.—Ron Silliman, ParadiseYou took my temperature which I had meant to save for a more difficult day.—Rosmarie Waldrop, The Reproduction of ProfilesWent out so I’d take the car and a whole system of banking and money is based on a hierarchy.—Leslie Scalapino, Considering How Exaggerated the Music IsROAST POTATOESRoast Potatoes for.—Gertrude Stein, “Tender Buttons”Or, a subtler example, Mei-mei Berssenbrugge’s almost unnoticeable shifts from one grammatical structure into another: [End Page 54]Never mind if he calls, the places you get through inwardness take time, and to drift down to the shore of the island, you know by the sand moving, even the coarse sand here It’s hard to say if you can even stand up, there....[13]The third tendency is mathematical. There is a lot of counting. Not stresses, not even syllables—I’m not considering that most unimaginative bunch, the new formalists—but words per line, sentences per paragraph. You all know about Ron Silliman’s love for the Fibonacci number series, or Lyn Hejinian’s My Life, which began with 37 sections of 37 sentences each. When she published a second edition at age 45, she added 8 sentences to each section plus 8 new sections.Jacques Roubaud: “No ideas but in numbers” [291].Then, in a somewhat more remote way, a number of people use ideas of permutation. For example, Jackson Mac Low’s 4 Trains, of which I will quote the first two stanzas:Train rule atom intricate nitrogen. Rule unusual leotard entropy. Atom train ostrich might. Intricate nitrogen train rule intricate casual atom train entropy. Nitrogen intricate train rule ostrich genealogy entropy nitrogen.Rule unusual leotard entropy. Unusual nitrogen unusual social unusual atom leotard. Leotard entropy ostrich train atom rule dies. Entropy nitrogen train rule ostrich pope yearly.[7]As Zukofsky puts it: “[Thus] poetry may be defined as an order of words that as movement and tone (rhythm and pitch) approaches in varying degrees the wordless art of music as a kind of mathematical limit” [27].All these examples draw attention to arrangement, composition. They all listen to language. I once wrote:I don’t even have thoughts, I say, I have methods that make language think, take over and me by the hand. Into sense or offense, syntax stretched across rules, relations of force, fluid the dip of the plumb line, the pull of eyes.... No beginnings. All unrepentant middle.[A Form / of Taking / It All 74]And none of these forms are “organic form.” None relies primarily on metaphor, though from the Romantics on poetry has been more or less identified with it.3. Frameworka. HistoricalLet me step back for a moment to the beginnings of the concept of organic form, what it reacted against.When Goethe started to make a splash writing free verse, around 1770, the dominant aesthetic... (shrink)

The paper offers a qualified endorsement of Terry Eagleton’s striking claim that “a work’s moral outlook … may be secreted as much in its form as its content”. A number of points are raised in defence of the claim: an argument for the inseparability, under certain conditions, of form and content in a literary work; an idea of moral content, not as derived moral principle, but as inward-facing interpretation grounded in an ethical vocabulary; the possibility of internal and external perspectives (...) on fictional characters; and an emphasis on emotions expressed in, rather than caused by, narrative. Three literary examples are explored, to show how vocabulary, syntax, implicature, and tone, contribute to the emergence of moral salience. A consequence drawn is that the ethical stance readers take to a scene or incident is partially shaped by the narrative modes of its presentation. The overall perspective of the paper is that of aesthetic autonomism: the view that the aesthetic value of a work of literature is distinct from, and not reducible to, any instrumental moral values (positive or negative) attributed to the work. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Arthur A. Krentz DRAMATIC FORM AND PHILOSOPHICAL CONTENT IN PLATO'S DIALOGUES AN intriguing innovation in the history of philosophical discourse is Plato's employment ofdramatic dialogues as his deliberately chosen means ofcommunication. Throughout the history of philosophy scant attention has been focused on this feature of Plato's works. Recently, however, some students of Plato's writings contend that it is crucial for interpreters to give careful attention to the dialogue form (...) in order to reach an essential understanding of the philosophical content. Thus WernerJaeger, commenting in 1934 on the importance of the form of Aristotle's philosophical works, mentions as an aside that, "Even in the case of Plato, the importance of the form for the understanding of his particular thought has often been overlooked for long periods; departmental philosophers and students ofliterature in particular are always prone to consider it as something literary which had no material significance for Plato, in spite of the fact that it is unique in die history of philosophy. By now, however, most persons know mat the study of the development of the form ofhis writing is one of me main keys to a philosophical understanding of him." ' In spite ofJaeger's contention that most contemporary interpreters of Plato are aware of the significance of investigating the dramatic form for an understanding of a dialogue's content, a survey of the literature on Plato shows that interpreters often abandon such a concern in their own approach to his dialogues. For example, many interpreters treat dialogues as treatises, ignoring the dramatic features in order to concentrate on the examination of the logical, epistemológica!, ethical or other philosophical aspects of the argumentation in a single dialogue or group ofdialogues; as a result interpreters tend to separate the content from the form of Plato's works.2 The effect of this approach is one-sided, for, although such interpretations attempt to do justice to the arguments, they ignore the dramatic features of the dialogues and their bearing on an interpretation of die philosophical substance. Currently a growing number of interpreters of Plato in Europe and North America hold that a consideration of the form of Plato's dialogues is important 32 Arthur A. Krentz33 for an understanding oftheir content and philosophical message.3 1 am in agreement with this position and in this article I consider some reasons that may have led Plato to adopt dialogue as his medium of philosophical expression and attempt to show how attention to the dialogue form shapes the interpretation of their content. Unlike his philosophical predecessors who cast their writings in the form of extended poems, aphorisms, or treatises "On Nature," Plato wrote dramas. That the dramatic form ofhis writings is not incidental to his philosophical purposes becomes apparent as one considers how Plato presents philosophy in a fundamentally different way from that of his predecessors and successors who adopted the essay and treatise as the paradigm ofphilosophical communication. In a philosophical work such as a treatise, an author ordinarily attempts to state his own position on issues under discussion as clearly and as forcefully as possible. This, however, is not the primary aim of Plato's works, for certain features of his dramas indicate that he deliberately concealed his own views. Of special note in this regard is the fact that Plato never speaks on his own behalf in the discourses he creates. There is no character named "Plato" unequivocally declaring the author's own position.4 Instead a variety of interlocutors ask questions, investigate philosophical problems, and puzzle over solutions while Plato remains noticeably silent. This silence of Plato indicates that he did not regard the unequivocal presentation of his own views to be of paramount importance. If this had been his aim, Plato had only to write a dialogue which included himselfas one ofthe characters clearly stating his own position. Having engaged in many philosophical discussions with Socrates and with his own students, Plato could have written a dialogue based on such conversations. His not doing so is sufficient to show that he did not use his writings as a primary vehicle for transmitting his own position in his own words. Nor did Plato use... (shrink)

Rivers stopped or flowing backward -- Harmony, number, and others --Twentieth-Century measures.

The formal framework of Kauffman (1991) depicts the constraints of self-organization on the evolution of complex systems and the relation of self-organization to selection. We discuss his treatment of 'generic constraints' as sources of order (section 2) and the relation between adaptation and organization (section 3). We then raise a number of issues, including the role of adaptation in explaining order (section 4) and the limitations of formal approaches in explaining the distinctively biological (section 5). The principal question we pose (...) is the relation of generic constraints on evolution to more specific local constraints, imposed, for example, by the characteristic materials out of which organisms are constructed, the accidental features characteristic of the Bauplan of a lineage, and the local vicissitudes of adaptation. We offer no answer to this large question. (shrink)

A large number of scholars have argued that a) Islamic architecture is hidden, in the sense that its interior is not articulated on the basis of its exterior; b) the form of Islamic buildings neither expresses nor embodies its function; and c) Islamic architecture is not tectonic or structural, but iconic in character. In this paper, we use Ernst Grube’s analysis of these three claims and focus our attention on the design of the congregational mosques. This paper presents informed arguments (...) against these claims. We begin the discussion with a clarification of the meaning of ‘form follows function’. A clear understanding of the relationship between these two concepts is indispensable for evaluating the claims that Grube makes in his analyses. Then we argue that the form of the congregational mosque embodies its function in a significant manner. Finally, the paper explains in some detail how the function of a mosque is the basis on which its formal structure is designed. The proposition that we defend in this paper is that Islamic architecture exists and expresses the spirit of Islamic culture. (shrink)

This collection brings together six papers by leading philosophers working within the Aristotelian tradition, covering a number of topics in contemporary ...

These hours of backward clearness come to all men and women, once at least, when they read the past in the light of the present, with the reasons of things, like unobserved finger-posts, protruding where they never saw them before. The journey behind them is mapped out, and figured with its false steps, its wrong observations, all its infatuated, deluded geography.Henry James,The Bostonians, ch. xxxixThis paper is intended to contribute to the study of both Homer and Greek tragedy, and more (...) particularly to the study of the influence of the epic upon the later poets. The current revival of interest among English scholars in the poetic qualities of the Homeric poems must be welcomed by all who care for the continuing survival and propagation of classical literature. The renewed emphasis on the validity of literary criticism as applied to presumably oral texts may encourage a more positive appreciation of the subtlety of Homeric narrative techniques, and of the coherent plan which unifies each poem. The aim of this paper is to focus attention on a number of elements in Greek tragedy which are already present in Homer, and especially on the way in which these poets exploit the theme of knowledge—knowledge of one's future, knowledge of one's circumstances, knowledge of oneself. Recent scholarship on tragedy has paid much more attention to literary criticism in general and to poetic irony in particular: these insights can also illuminate the epic. Conversely, the renewed interest in Homer's structural and thematic complexity should also enrich the study of the tragedians, his true heirs. (shrink)

The defining characteristics anticipated for any prospective psychophysically neutral language are explored in this essay through the analysis and comparison of two previous approaches. The idea of a psychophysically neutral language was first articulated byWolfgang Pauli in the context of the dual-aspect theory of mind and matter that he developed with C.G. Jung. The first approach discussed is George Spencer Brown's Laws of Form. An overview is given, followed by a review of the critical responses and extensions of the work, (...) particularly Francisco Varela's attempt to use it to formalize biological autopoiesis and Louis Kaufman's development of Brownian algebra. The mathematical basis of Spencer Brown's calculus and its philosophical assumptions and implications are then investigated. The second approach discussed is Marie-Louise von Franz's Number and Time, an investigation of number archetypes through which she continued the inquiry begun by Jung and Pauli. The central tenets of her work are summarized and critically evaluated, and a comparison with Spencer Brown's work is carried out. Finally, implications are drawn for any future attempt to formulate a psychophysically neutral language. (shrink)

It has been argued that the thirteenth and fourteenth centuries were a crucial period in the medieval development of the idea of contagion. Theologians and physicians cooperated in devising a conceptual model based on medical literature (Hippocratico-Galenic and Avicennian) and formulated primarily to explain the origin, transmission, and development of contagious diseases, but that was flexible enough to be applied to a number of other different phenomena (the communication of sin and vices, love sickness, fascination, etc.). This article explores the (...) ways in which Albert the Great contributed to the formation of this broad and highly articulated notion of contagion. First, he provided a systematic analysis of the mechanisms of pathogenesis and transmission of contagious diseases (in particular, pestilences and leprosy). Moreover, his interests encompassed several different forms of contagion, including the powers of stones (e.g., the attractive virtue of the magnet) and animals, the influences of the woman’s body and mind (mulier menstruata and vetula), fascination. Albert also provided different models for the explanation of the “contagious influence” (mechanical explanation based on physical contact, the Avicennian theory of psychosomatic transformations, the Avicennian doctrine of the power of the soul over external bodies, spiritual transmission of sins). As a result of his investigation into the mechanisms of disease transmission, air contamination, noxious influences, and fascination, Albert came to problematize the usual idea of natural causality based on the principle of contact between substances, and to test the potentials and limits of action at-a-distance. In particular, the present paper will examine Albert’s views on some of the phenomena explained through the concept of contagion: pestilences, leprosy, the basilisk, the menstruating woman, and fascination. (shrink)

There are a number of problems associated with the classic notion of beauty understood as an experience of perceptual form. These problems are that there is an apparent incompatibility between beauty’s objectivity and subjectivity; and an incompatibility between the two self-evident theses that (i) there are no principles of beauty and (ii) there are genuine judgements of beauty. There is also the problem of explaining the possibility of a disinterested pleasure. To solve these problems I draw upon the work of (...) Glyn Humphreys & Dietmar Heinke (1998) according to whom the processing of ‘between-object’ relations draws upon view-dependent primitives and the processing of ‘within-object’ relations draws upon view-invariant primitives. I argue that if what we experience as aesthetic form or beauty is some kind of play on the processes involved in processing within-object-relations during the course of perceiving certain objects, then the apparent problems of beauty would be resolved. I speculate that perhaps the perception of certain objects employs perceptual principles in an unprecedented way or in a way which epitomizes their normal operation. The idea is that when perception is employed in such a way that our attention is drawn from the object recognized to the experience of perception as something like a solution to a problem (that is, to the experience of the construction of within-object relations), then we experience what we know of as aesthetic form and beauty. (shrink)

The aim of this paper is to show that John Wyclif’s theory of space is at once an interpretation of the Platonic theory of place and a Neopythagorean conception of magnitudes and numbers. The result is an original form of mathematical atomism in which atoms are point-like entities with a particular situation in space. If the core of this view comes from Boethius’ De arithmetica, John Wyclif is also influenced by Robert Grosseteste’s metaphysics, which includes the Boethian number theory (...) within the Christian tale of the creation of the world ex nihilo. John Wyclif, however, adds some novelty to this theory concerning the epistemological status of this hypothetical description of the creation of the world out of atoms. First, according to Wyclif, whereas geometry is concerned with sensible and imaginable beings, arithmetic, which is purely intellectual, has access to the deep mathematical structure of the universe. He then suggests a subordination of geometry under arithmetic, which he considers the most solid basis for his metaphysics. As a result, with the attribution of numbers and units to every level of reality, it becomes possible to reform our natural imagination, so that it can imagine the atomic structure of matter and space. (shrink)

Pierre de Fermat is known as the inventor of modern number theory. He invented–improved many methods useful in this discipline. Fermat often claimed to have proved his most difficult theorems thanks to a method of his own invention: the infinite descent. He wrote of numerous applications of this procedure. Unfortunately, he left only one almost complete demonstration and an outline of another demonstration. The outline concerns the theorem that every prime number of the form 4n + 1 is the sum (...) of two squares. In this paper, we analyse a recent proof of this theorem. It is interesting because: it follows all the elements of which Fermat wrote in his outline; it represents a good introduction to all logical nuances and mathematical variants concerning this method of which Fermat spoke. The assertions by Fermat will also be framed inside their historical context. Therefore, the aims of this paper are related to the history of mathematics and to the logic of proof-methods. (shrink)

Despite the efforts of many individuals, the disciplines of modern physics and number theory have remained largely divorced, in the sense that the experimentally verified theories of quantum physics and gravity are written in the language of linear algebra and advanced calculus, without reference to several established branches of pure mathematics. This absence raises questions as to whether or not pure mathematics has undiscovered application to physical modeling that could have far reaching implications for human scientific understanding. In this paper, (...) we review physical interpretations of number theoretic concepts developed in the twentieth century, in an attempt to help bridge the divide between pure mathematical truth and testable physical theory. Specifically, the relevance of L-functions and modular forms to the physics of quantum and classical physical systems is addressed, with the objective of motivating general interest among physicists in these mathematical concepts. (shrink)

Outsourcing of Public-Services - Forms and Limitations Purpose of the article is to show how public services can be outsourced from communities and what legal, organizational or other limitations may have to be taken into account.Methodology used for this article is literature research, analysis and comparison. An in-depth look into the present status of research and literature will be interconnected to the basic research in this matter that has been done from the 1970's to the 1990's.Scientific aim is to (...) show the potential of the process as being important and helpful in creating better community-service and meanwhile relieve the communities from organizational and financial burdens that are more difficult to carry than ever before.Findings are that we have to determine between the different municipal economic activities and the legal basis of these activities. The intervening public-service is a prominent example for the restrictive regulatory system it is set in but also is seen as having a big potential for cooperation and outsourcing by contracting-out. Contrary to that the service-rendering public-service is less regulated and more open to a market approach.There are different spheres for these economic activities to take place. Different reasons for outsourcing depend on the specific sphere a certain task belongs to and can include economic, fiscal and political aspects. Two big groups of tasks are annex-tasks from within the public-service and characteristic public-services. There can be outsourcing by commissioning or by using submissions.With different legal forms of the outsourced entities and the legal limits that are set for every different kind of structure, it is clear that there is no solution that always fits all the needs and that this has to be carefully taken into account.Conclusions are that there is a high potential and big successes when outsourcing is done well planned and as a strategic activity. A number of legal issues and other limitations always has to be respected. (shrink)

Organisms possess a special unity that biologists have long recognized and that cries out for explanation. Organs and collectives also have their own related kinds of unity, so what distinguishes the unity of the organism? I argue that only substantial form, a central plank of hylemorphic metaphysics, can provide the explanation we need. I set out the idea that whilst organisms possess substantial form, organs abtain the substantial form of the organisms they belong to, and collectives contain the substantial (...) class='Hi'>forms of their organismic members. I consider a number of difficult cases, including lichens, biofilms, cellular slime moulds, and plasmodial slime moulds, arguing that none of them pose a serious threat to the threefold distinction between organ, organism, and collective. I conclude by arguing that two prominent, alternative unity principles for organisms do not work, thus giving indirect support to the need for substantial form. (shrink)

The convergence of the Neoplatonic/Neopythagorean approach with the Aristotelian organization of the sciences is one of the most interesting features that characterizes the two influential mathematical treatises on On Arithmetics and On Music by Severinus Boethius. Basing his reasoning on Nicomachus and Ptolemy, Boethius follows the philosophical tradition that had tried to reconcile Plato’s and Aristotle’s views. This attitude is examined in the present paper as regards Boethius’ response concerning the relation between numbers, ethics and aesthetics. His view emerges (...) as coming out of a rather complex construction, which assigns the ethical scope of mathematics in indicating to the human mind how to correct the ratios that realize the best relationship in movements of the soul and the body. More precisely, its ethical aim is to correct the specific form of movement of human beings, that is their actions, exemplified in the way in which mathematical ratios represent the forms of government and musical ratios evoke and heal psychophysical affections. More complex, on the other hand, is the relationship between mathematics and beauty. In clear antithesis to the position taken by Augustine on the beauty of the rhythmic patterns that better represent the beauty of unity, Boethius does not relate the mathematical ratios of the consonances to an esthetical judgment by making use of the category of beauty. For him, the physical world is totally immersed in changes and movements, and this cannot but impede things from expressing the stable unity, which is required for contemplating the beautiful. (shrink)

General extenders are phrases like 'or something', 'and everything', 'and things ', 'and stuff ', and 'and so on'. Although they are an everyday feature of spoken language, are crucial in successful interpersonal communication, and have multiple functions in discourse, they have so far gone virtually unnoticed in linguistics. This pioneering work provides a comprehensive description of this new linguistic category. It offers new insights into ongoing changes in contemporary English, the effect of grammaticalization, novel uses as associative plural markers (...) and indicators of intertextuality, and the metapragmatic role of extenders in interaction. The forms and functions of general extenders are presented clearly and accessibly, enabling students to understand a number of different frameworks of analysis in discourse-pragmatic studies. From an applied perspective, the book presents a description of translation equivalents, an analysis of second language variation, and practical exercises for teaching second language learners of English. (shrink)

Charles Darwin's Origin of Species, published in 1859, was a revolutionary attempt “to overthrow the dogma of separate creations,” a declaration that provoked different reactions among the religious, ranging from mild enthusiasm to anger. Christians sympathetic to Darwin's effort sought to make Darwinism appear compatible with their religious beliefs. Two of Darwin's most prominent defenders in the United States were the Calvinists Asa Gray, a Harvard botanist, and George Frederick Wright, a cleric-geologist. Gray, who long favored a “special origination” in (...) connection with the evolution of humans and questioned whether natural selection can account for the formation of organs, the making of eyes, etc., embraced natural selection as the primary mechanism underlying the production of most species. He also went so far as to invoke divine providence, rather than randomness, to explain the variations on which natural selection acted. This chapter discusses creationism, intelligent design, and modern biology. (shrink)

Previous work on the comprehension of agreement has shown that incorrectly inflected verbs do not trigger responses typically seen with fully ungrammatical verbs when the preceding sentential context furnishes a possibly matching distractor noun (i.e., agreement attraction). We report eight studies, three being direct replications, designed to assess the degree of similarity of these errors in the comprehension of subject-verb agreement along the dimensions of grammatical gender and number in Modern Standard Arabic. A meta-analysis of the results demonstrate the presence (...) of agreement attraction effects in reading comprehension for gender and number on verbs. Moreover, the meta-analysis demonstrates that these two features do not behave identically: gender effects are larger and occur later relative to number attraction effects. These results challenge models of agreement that predict agreement features to be equipotent and show that real-time models of agreement require modifications in the form of cue-weighting in order to account for these differential results. (shrink)

The purpose of this article is to invigorate debate concerning the nature of analogy, and to broaden the scope of current conceptions of analogy. We argue that analogizing is not a single or even a fundamental cognitive process. The argument relies on an analysis of the history of the concept of analogy, case studies on the use of analogy in scientific problem solving, cognitive research on analogy comprehension and problem solving, and a survey of computational mechanisms of analogy comprehension. Analogizing (...) is regarded as a macrocognitive phenomenon having a number of supporting processes. These include the apperception of resemblances and distinctions, metaphor, and the balancing of semantic flexibility and inference constraint. Psychological theories and computational models have generally relied on (a) a sparse set of ontological concepts (a property called “similarity” and a structuralist categorization of types of semantic relations), (b) a single form category (i.e., the classic four-term analogy), and (c) a single set of morphological distinctions (e.g., verbal vs. pictorial analogies). This article presents a classification based on a “naturalistic” exploration of the variety of uses of analogical reasoning in pragmatically distinct contexts. The resultant taxonomy distinguishes pre-hoc, ad-hoc, post-hoc, pro-hoc, contra-hoc, and trans-hoc analogy. Each will require its own macrocognitive modeling, and each presents an opportunity for research on phenomena of reasoning that have been neglected. (shrink)

Over the course of human history, the sciences, and biology in particular, have often been manipulated to cause immense human suffering. For example, biology has been used to justify eugenic programs, forced sterilization, human experimentation, and death camps—all in an attempt to support notions of racial superiority. By investigating the past, the contributors to _Biology and Ideology from Descartes to Dawkins_ hope to better prepare us to discern ideological abuse of science when it occurs in the future. Denis R. Alexander (...) and Ronald L. Numbers bring together fourteen experts to examine the varied ways science has been used and abused for nonscientific purposes from the fifteenth century to the present day. Featuring an essay on eugenics from Edward J. Larson and an examination of the progress of evolution by Michael J. Ruse, _Biology and Ideology_ examines uses both benign and sinister, ultimately reminding us that ideological extrapolation continues today. An accessible survey, this collection will enlighten historians of science, their students, practicing scientists, and anyone interested in the relationship between science and culture. (shrink)

When assessing North American students' oral participation in classes, should all students be subject to the same evaluation criteria or should teachers make reasonable allowances for Asian students practicing humility? How do we weigh the promotion of 'courage' through character education initiatives with traditional Asian dispositions? Viewing Asian humility in Western classrooms and as it rubs up against liberal principles of equality or justice, and a virtue ethic raises a number of philosophical questions around authenticity, polyvalence, and relativity. I approach (...) first through the lens of liberal philosophy as the 'dilemma of diversity' meets a boundary with communitarianism, and then through the contextualist lenses of Wittgenstein, Heidegger, and Foucault. Drawing on Tully's political philosophy, I inspect humility as embedded in language-games and then open it to revision through comparative history, inviting participants in the teacher's game of assessment to renegotiate the rules: a process complicated by their reticence to speak up. I also use Medina and Scheman's political reading of Wittgenstein to discuss how teachers can discern humility as performative silence within the classroom, distinguishing between genealogical accounts that show how comportments could be otherwise from perspicuous inspection of interconnected language-games in current educational settings. (shrink)

This is the first full-length English translation of Benjamin Constant's massive study of humanity's religious forms and development, published in five volumes between 1824 and 1831. Constant (1767-1830) regarded On Religion, worked on over the course of many years, as perhaps his most important philosophical work. He called it "the only interest, the only consolation of my life," and "the book that I was destined by nature to write." While the recent revival of interest in Constant's thought has been (...) welcome and fruitful, it has been incomplete, tending to leave out of account his writings on religion. In this connection, On Religion is essential reading and of interest for many reasons. As an analysis of humanity's religious experience, the work is notable for its methodology. Unlike previous writers with dogmatic commitments, whether theological or philosophical, Constant aimed to work with well-established facts and to relate religious forms to their historical contexts and civilizational developments. In this way, he was a precursor of the scientific study of religion. This objectivity, however, was not tantamount to moral-political neutrality. In the aftermath of the French Revolution, he wanted partisans of the new order to recognize that the religious impulse was natural to the human heart: to extirpate religion was therefore a fool's errand and worse. Likewise, he instructed religious reactionaries that history had left them behind: now the natural state of the religious sentiment was an unfettered "spirituality" left free to find new forms of expression. His counsel to contemporaries has proven prescient concerning subsequent religious developments in democratic and totalitarian societies. In his day, Constant was a consistent liberal, a life-long advocate of representative government, as well as of the central liberal arrangement concerning religion: separation of church and state. But On Religion demonstrates that principled liberalism can turn a sympathetic as well as analytic eye toward religion and, in an unbegrudging way, find an important place for it in free society. There are signs that this is a lesson that contemporary liberalism would do well to relearn. Peter Paul Seaton Jr. teaches philosophy at St. Mary's Seminary and University in Baltimore. His scholarly interests focus on the intersection of religion, politics, and philosophy. He has translated a number of works in French thought, especially political philosophy. These include works by Pierre Manent, Democracy without Nations? and Modern Liberty and Its Discontents (with Daniel J. Mahoney), Chantal Delsol, Unjust Justice, and Rémi Brague, On the God of the Christians and The Legitimacy of the Human. (shrink)

A musical experience is marked by the synthesis of passion and rationality, emotion and understanding, and body and mind. Ferrara demonstrates that each method of musical analysis confines musical significance to a single level. He devises an "eclectic method" that provides bridges for musical sound, form, and reference. In response to the multiplicity of levels of musical significance Ferrara's eclectic method draws upon a wide-ranging number of conventional and nonconventional approaches to musical analysis which results in a dialectic of methods.

This textbook is a second edition of the successful, Mathematical Logic: On Numbers, Sets, Structures, and Symmetry. It retains the original two parts found in the first edition, while presenting new material in the form of an added third part to the textbook. The textbook offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions. Part I, Logic Sets, and Numbers, shows how mathematical logic is (...) used to develop the number structures of classical mathematics. All necessary concepts are introduced exactly as they would be in a course in mathematical logic; but are accompanied by more extensive introductory remarks and examples to motivate formal developments. The second part, Relations, Structures, Geometry, introduces several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions, and shows how they are used to study and classify mathematical structures. The added Part III to the book is closer to what one finds in standard introductory mathematical textbooks. Definitions, theorems, and proofs that are introduced are still preceded by remarks that motivate the material, but the exposition is more formal, and includes more advanced topics. The focus is on the notion of countable categoricity, which analyzed in detail using examples from the first two parts of the book. This textbook is suitable for graduate students in mathematical logic and set theory and will also be of interest to mathematicians who know the technical aspects of the subject, but are not familiar with its history and philosophical background. (shrink)

An appealing to original texts, a comparing linguistic variations in the forms of their offsprings (translations), a research of processes of branching of meanings, a reconstruction of the first-sense of texts, and especially those that were created centuries ago in ancient languages, that is enabling to improve translation or understanding of the history of the mentality of native and modern na- tive speakers — will always be relevant for any philological, linguistic and philosophical studies. This article is an attempt (...) to analyze and show how different the form and meaning of the same text can be in different languages and what can be common between different translations. For the first time, the comparison of the original fragments of Plato’s “The Republic” in Ancient Greek with their translations into Japanese and Korean translations has been done. Also, some fragments of Lithuanian, Latin, Latin and English translations are included. For the analysis, I propose the following two fragments of the text of the seventh book, namely the replica numbered 514a-514b of the dialogue of Socrates with Glaucon and the replica numbered 517b-517c. After all, in my opinion, there is the greatest concentration of philosophical terms associated with the myth of the cave, which interests me. (shrink)

Background The post-trial period is the time period after the end of study drug administration. It is unclear whether post-trial arrangements for patient surveillance are routinely included in study protocols and consents, and whether research ethics boards (REB) consider the post-trial period. Objectives The objective was to determine whether trial protocols and consent forms reviewed by the REB describe procedures for post-trial period surveillance. Methods An observational study of protocols of randomised trials of chronic therapies for cardiac conditions, approved (...) by the REB of two academic institutions affiliated with the University of Toronto in Canada (University Health Network and Mount Sinai Hospital) from 1995 to 2007. Plans for patient surveillance in the post-trial period described in the protocol or in the consent form before and after REB approval were recorded. Results 42 studies were identified including 18 heart failure and 15 coronary artery disease trials. Only four studies planned a clinical visit after trial termination, and an additional three planned a telephone contact after trial completion. Five trials submitted consent forms to the REB with a discussion of the post-trial period. Conclusions The majority of protocols and consent forms did not discuss plans for post-trial period surveillance. The post-trial period and the REB approval process could be improved by systematic follow-up being described in the protocol and consent form. The small number of trial protocols evaluated in the study may impair the degree to which the results can be generalised. (shrink)

We challenge the arguments of Cohen Kadosh & Walsh (CK&W) on two grounds. First, interactions between number form (e.g., notation, format, modality) and an experimental factor do not show that the notations/formats/modalities are processed separately. Second, we discuss evidence that numbers are coded abstractly, also when not required by task demands and processed unintentionally, thus challenging the authors' dual-code account.