The study analyzes the phenomenal occurrence of Siquijodnon-Englishcode mixing. Using descriptive research design and adapting the linguistic andsociolinguistic theories, the study examined the morphological features code-mixedin Siquijonon–English. The respondents are parents, waiters or waitresses and/or receptionists, teachers, Human Resources Management Officers, and dealers inSiquijor province who were selected based on the five language domains. The resultsreveal that the free morphemes (content words, function words and substitute words)are code mixed through intra-sentential code mixing and/or insertion. The paperalso finds out that code (...) mixing is used as a double-edged tool to effect personal,social and transactional functions which likely occur in school where bilingual and/ormultilingual speakers are evident. These results justify the generation of Code-MixedLanguage Assimilator-Converger Theory. Keywords: Language and communication, code mixing, phenomenal occurrence,Siquijodnon, descriptive design, Siquijor, Philippines. (shrink)

We suggest a new view of secretory and membrane protein folding that emphasizes the role of pathways of biogenesis in generating functional and conformational heterogeneity. In this view, heterogeneity results from action of accessory factors either directly binding specific sequences of the nascent chain, or indirectly, changing the environment in which a particular domain is synthesized. Entrained by signaling pathways, these variables create a combinatorial set of necessary‐but‐not‐sufficient conditions that enhance synthesis and folding of particular alternate, functional, conformational forms. We (...) therefore propose that protein conformation is productively regulated by the cell during translocation across the endoplasmic reticulum (ER), a concept that may account for currently poorly understood aspects of physiological function, natural selection, and disease pathogenesis. BioEssays 24:741–748, 2002. © 2002 Wiley Periodicals, Inc. (shrink)

Many scholars have understood the Anthropocene as confirming the patient work in the social sciences to deconstruct the nature/culture divide, for the human being is now present in the entire eco-system, from deet-resistant mosquitoes to the ozone hole in the heavens. Scholars like Bruno Latour have claimed that nature and culture have always been co-determined and thus that their separation was a case of modern bad faith with disastrous consequences. Because Latour blames this divide on the human exceptionalism that pitted (...) a human subject against a world of objects, and thus denied agency to other living and nonliving actants, the solution for Latour lies in recognizing their agency in an ‘enlarged democracy.’ Such scholarship has inspired many scholars to adopt a ‘flat ontology’ that treats all forms of agency, whether animate or inanimate, as equivalent and autonomous material forces. This article will elucidate Latour’s ‘democracy of things’ and explore the beneficial consequences for the Anthropocene of attributing autonomous agency to non-human actants, while at the same time discussing the negative repercussions of reifying the agency of technological tools as separate from human agency. Due to such widespread reification of technological agency, it will be shown that causal analysis that traces such agency back to its source in human political organization is required in order to adequately respond to the Anthropocene. (shrink)

This is a review of the biopic of the great mathematician Ramanujan, 'The Man Who Knew Infinity'(2016).

This article discusses the history of rabies in South Africa since the early twentieth century. It argues that rabies is a zoonotic disease that traverses rural and urban spaces, that transfers itself between wild and domestic animals and remains a potential threat to human life in the region. Scientists discovered an indigenous form of rabies, found primarily in the yellow mongoose, after the first biomedically confirmed human fatalities in 1928. Since the 1950s canine rabies, presumed to have moved southwards (...) from across the Zambezi River, has become endemic also. South Africa is home to a comparatively large number of rabies strains and animal carriers, making it a particularly interesting case study. Environmental changes during the colonial and apartheid periods have helped to explain the increase in rabies cases since the midtwentieth century. Moreover, developments in the biological and ecological sciences have provided insights into why the rabies virus has become endemic in certain wildlife species. (shrink)

"Intuition" has perhaps been the least understood and the most abused term in philosophy. It is often the term used when one has no plausible explanation for the source of a given belief or opinion. According to some sceptics, it is understood only in terms of what it is not, and it is not any of the better understood means for acquiring knowledge. In mathematics the term has also unfortunately been used in this way. Thus, intuition is sometimes portrayed as (...) if it were the Third Eye, something only mathematical "mystics", like Ramanujan, possess. In mathematics the notion has also been used in a host of other senses: by "intuitive" one might mean informal, or non-rigourous, or visual, or holistic, or incomplete, or perhaps even convincing in spite of lack of proof. My aim in this book is to sweep all of this aside, to argue that there is a perfectly coherent, philosophically respectable notion of mathematical intuition according to which intuition is a condition necessary for mathemati cal knowledge. I shall argue that mathematical intuition is not any special or mysterious kind of faculty, and that it is possible to make progress in the philosophical analysis of this notion. This kind of undertaking has a precedent in the philosophy of Kant. While I shall be mostly developing ideas about intuition due to Edmund Husser! there will be a kind of Kantian argument underlying the entire book. (shrink)

In an essay published in 1989 the distinguished poet and scholar A. K. Ramanujan asked if there was such a thing as "an Indian way of thinking."1 Having formulated his subject as a question, he then spent his opening pages reflecting on whether this question could be posed at all. An extensive study by a leading Japanese scholar of Buddhism, which Ramanujan did not mention, had analyzed the "ways of thinking of Eastern peoples" in a monograph originally completed (...) in 1947 and published in an expanded English translation in 1964.2 An approach such as Hajime Nakamura's may have seemed already outdated by the time Ramanujan wrote; surely, we now know better than to identify patterns of thought... (shrink)

STEPHEN TOULMIN George Santayana used to insist that those who are ignorant of the history of thought are doomed to re-enact it. To this we can add a corollary: that those who are ignorant of the context of ideas are doom ed to misunderstand them. In a few self-contained fields such as pure mathematics, concepts and conceptual systems can perhaps be de tached from their historico-cultural situations; so that (for instance) a self-taught Ramanujan, living alone in India, mastered number (...) theory to a point at which he could make major contributions to European mathematics. But elsewhere the situation is different - and, in philosophy, inevitably so. For philosophical ideas and problems confront us like geological specimens in situ; and, in the act of prising them free from their historical and cultural locations, we can too easily forget about the matrix in which they took shape, and end by impossing on them a sculptural form of our own making. Something of this kind has happened in the case of Ludwig Wittgen stein. For his philosophical work has commonly been seen as an episode in the development, either of mathematicallogic, or oftwentieth-century British philosophy. His associations with Frege and Russell, Moore and Waismann, have over-shadowed everything else in his cultural origins and intellectual concerns. (shrink)

Towards the end of the nineteenth century, British colonists in Jamaica became increasingly exasperated by the damage caused to their sugar plantations by rats. In 1872, a British planter attempted to solve this problem by introducing the small Indian mongoose (Urva auropunctata). The animals, however, turned on Jamaica's insectivorous birds and reptiles, leading to an explosion in the tick population. This paper situates the mongoose catastrophe as a closing chapter in the history of the nineteenth-century acclimatization movement. While (...) foreign observers saw the introduction of the mongoose as a cautionary tale, caricaturing British Jamaica as overrun by a plague of weasels and ticks, British colonists, administrators and naturalists – identifying a gradual decline of both populations – argued that the ‘balance of nature’ would eventually reassert itself. As this paper argues, through this dubious claim they were attempting to retrospectively rationalize or justify the introductions and their disastrous aftermath. This strategy enabled them to gloss over the lasting ecological damage caused by the mongoose, and allowed its adherents to continue their uncritical support of both the Jamaican plantation economy and animal introductions in the British Empire. (shrink)

In this paper, we suggest the broader concept of proof-event, introduced by Joseph Goguen, as a fundamental methodological tool for studying proofs in history of mathematics. In this framework, proof is understood not as a purely syntactic object, but as a social process that involves at least two agents; this highlights the communicational aspect of proving. We claim that historians of mathematics essentially study proof-events in their research, since the mathematical proofs they face in the extant sources involve many informal (...) components, often not completely formalizable, and convey some kind of semantic content calling for understanding and verification. We illustrate the application of this methodological approach in some outstanding historical cases, paying particular attention to the process of proof interpretation that makes a proof-event alive. Finally, we suggest a classification of proof-events, according to the conditions imposed upon problem-solving. This enables us to speak about broad classes of proof-events in history of mathematics that share a common characteristic. (shrink)

MATHEMATICS is a wonderful, mad subject, full of imagination, fantasy and creativity that is not limited by the petty details of the physical world, but only by the strength of our inner light. Does this sound familiar? Probably not from the mathematics classes you may have attended. But consider the work of three famous earlier mathematicians: Leonhard Euler, Georg Cantor and Srinivasa Ramanujan.

The “centre-periphery” relationship historically structured scientific exchanges between metropolis and province, between the fount of empire and its outposts. But the exchange, if regarded merely as a one-way flow of scientific information, ignores both the politics of knowledge and the nature of its appropriation. Arguably, imperial structures do not entirely determine scientific practices and the exchange of knowledge. Several factors neutralise the over-determining influence of politics—and possibly also the normative values of science—on scientific practice.In examining these four examples of Indian (...) scientists in encounters with their peers at the centre, exceptional scientists are seen in a social context where the epistemology of science supposedly describes its practice. Imperialism imposes practices and patronage, which moderate the exchange of scientific knowledge. But, at Level Two, the politics of knowledge and the patterns of patronage within it mediate exchanges between the centre and the periphery.The first step in reconfiguring exchanges between centre and periphery —in this case, between Europe and India during the period 1850 to 1930— is to recognise the relation between the acquisition of resources and the maintenance of legitimacy and identity.67 Political life is not confined to the core of political institutions.68 Second, in examining science as practised in the colonies, it is necessary to see stages of scientific institutions, whose development structures the exchange.From the encounter of Ramchandra and De Morgan, it is evident that the centre-periphery framework should be separated from the models of transmission embedded within it. The notion of “translation” helps to suggest that scientists bring personal motives and meanings to each encounter. Ramchandra, for example, sought a novel method of teaching Indians calculus, while De Morgan's interest lay in finding a place for algebra in a liberal education.The hierarchy inherent in the centre-periphery framework compels the conclusion that, at Level Two, the autodidact outside the institutions of science must have his work presented to scientists at the centre by authoritative figures from the centre. This is not mainly a question of imperialism, but rather of patronage. The peripheral scientist could not be granted direct entry into the collegial circle until his efforts at the periphery could be translated into the language and concerns of the central community. Ramanujan's enigmatic formulas were translated into the language of analysis by Hardy, which enabled the creation of a field to which Hardy was committed. Scientists from the periphery who were already part of the circle by virtue of their training, were not necessarily subject to the same degree of attestation as other scientists from the periphery. P.C. Ray, with his DSc from Edinburgh, and his position at Calcutta University, had less difficulty in winning the trust of colleagues at the centre, even when he returned to India. On the contrary, remaining at the periphery, he moved from a context of patronage to a sphere of competition. In addition, Ray's collegiality, even at Level Two, was more comprehensive, and connected him with Level One.Eventually, the professional Indian science graduate found collegiality within the international community of scientists. Saha's self-imposed progressive nationalism constrained his identification with the centre and made him a potential competitor instead. Once having achieved eminence in the world of science, C.V. Raman and Saha shifted their work to journals of physics published in India in order to further the cause of physics research in their own country.69To go beyond the limitations of the centre-periphery model, it is necessary not merely to examine exchanges between scientists functioning in a “shared epistemological universe”,70 but also to recognise the part played by institutions, the experience of colonialism, and the forms of patronage characterising both colonialism and science. Put another way, although there is relative epistemological autonomy within the disciplinary research communities of science, the interplay between knowledge and power structures this exchange.The scientific links between colonial India and Britain at the turn of the century were mediated by structures which prefigured change. Does structure determine all? If it does, we are left with an Orientalist reconstruction of the docile native, and a passive cultural medium into which science percolates. But this neglects the role of scientists in creating new structures within which they worked. A middle position—one more sensitive to the exigencies of colonial scientific life—would be one where the participants are seen not as the dupes of “structure nor the potentates of action”, but as occupying a ground between the two.71. (shrink)

It is now just over one hundred years since the beginning of the mathematical partnership between the Cambridge analyst G. H. Hardy and the Indian mathematical genius Srinivasa Ramanujan, one of the most celebrated collaborations in the history of mathematics. Indeed, the story of how Ramanujan was brought from India to Cambridge and feted by the British mathematical establishment now borders on legendary. But, in the context of this collection of articles, it provides an interesting case study of (...) mathematical exchange. This paper considers one particular product of the Hardy-Ramanujan creative partnership: their 1918 paper on partitions, and argues that the exchange of ideas prompted by their work on this paper was facilitated in part by their membership of the premier learned body in Britain for the advancement of mathematical research: the London Mathematical Society. (shrink)

It is now just over one hundred years since the beginning of the mathematical partnership between the Cambridge analyst G. H. Hardy and the Indian mathematical genius Srinivasa Ramanujan, one of the most celebrated collaborations in the history of mathematics. Indeed, the story of how Ramanujan was brought from India to Cambridge and feted by the British mathematical establishment now borders on legendary. But, in the context of this collection of articles, it provides an interesting case study of (...) mathematical exchange. This paper considers one particular product of the Hardy-Ramanujan creative partnership: their 1918 paper on partitions, and argues that the exchange of ideas prompted by their work on this paper was facilitated in part by their membership of the premier learned body in Britain for the advancement of mathematical research: the London Mathematical Society. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:March 13, 2008 (7:35 pm) G:\WPData\TYPE2702\russell 27,2 054.wpd 272 Reviews 1 See Brian J.yL. Berry and Donald C. Dahmen, “Paul Wheatley, 1921–1999”, Annals of the Association of American Geographers 91 (2001): 734–47. THE LIVES OF THOSE WHO WOULD BE IMMORTAL Richard Henry Schmitt U. of Chicago Chicago, il 60637, usa [email protected] David Leavitt. The Indian Clerk: a Novel. London: Bloomsbury, 2008; New York: Bloomsbury, 2007. Pp. 485. isbn 1-59691-040-2. (...) £16.99; us$24.95 (hb). From the start, this novel interested me for two reasons. First, it attempts to tell us the personal stories of two individuals who were working at the highest level in a very abstract Weld, namely G.yH. Hardy (1877–1947) and Srinivasa Ramanujan (1887–1920) during their collaboration on pure mathematics between spring 1914 and spring 1919. Obviously the same problems would arise in trying to tell the personal story of Bertrand Russell’s supervision of Ludwig Wittgenstein in mathematical logic, which occurred at Cambridge University in the years just before the start of the Great War. It is a great challenge to try to tie personal dynamics and abstract thought into a single coherent narrative. There are implications for the philosophy of mathematics and the history and sociology of science. So, of course, we have to ask: how does author David Leavitt rise to this challenge? Second, a more personal reason: Paul Wheatley1 told me shortly before his death that he thought this period at Cambridge represented the highest accom- March 13, 2008 (7:35 pm) G:\WPData\TYPE2702\russell 27,2 054.wpd Reviews 273 2 G.yH. Hardy, Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work (Cambridge: Cambridge U. P., 1940). Two lectures were presented at Harvard in 1936; the Wrst, a more personal recollection, was printed unchanged. The quote is from p. 2. The second lecture was expanded into the remaining published lectures, all considering speciWc mathematical topics. plishment possible for an academic institution: its fellows and masters had managed to attract and then recognize the genius of Ramanujan and Wittgenstein and to admit them to advanced studies without any real academic credentials. Wheatley had been the chair of the Committee on Social Thought at the University of Chicago; so, he knew something about such matters, as he did about many things involving humans, human settlements, and their arrangement in the world. Incidentally, Wheatley himself appeared as a character, Battle, in Ravenstein, Saul Bellow’s roman à clef about Allan Bloom. So, to the extent that Cambridge University just before and during the Great War plays a role here, we want to learn as much as we can about the atmosphere of the place. The Indian Clerk is a historical novelz—zin this case naming actual names, elaborating what we know about real people and occasionally adding Wctional charactersz—zall centered on the extraordinary mathematical genius Ramanujan and his equally extraordinary importation from India to Cambridge. The story is told largely in the third person, by an omniscient narrator, but repeatedly we also have the inner voice of G.yH. Hardy: there are a number of chapters with the indication “New Lecture Hall, Harvard University”, dated 1936, in which Hardy speaks in the Wrst person. In these passages David Leavitt uses parts of the published lectures, along with G.yH. Hardy’s private thoughtsz—zas imagined by Leavittz—zabout this “one romantic incident in my life” and about other matters that still haunt him.2 The novel is thus in some sense more about G.yH. Hardy and his inner life than it is about Srinivasa Ramanujan. The triumph of the novel is its ability to reconstruct and convey in a lively manner the circumstances of the time, the look and smell of the place, the crosscurrents, dynamics, and dislocations of people during these years. Leavitt has woven together a great deal, from many diTerent realms: pre-war meetings of the Apostles, the high table, the pre-war mathematics tripos, the method of collaboration between Hardy and J.yE. Littlewood, Cambridge as military training grounds and as hospital for the wounded, vegetarian cookery, feminism, Hindu... (shrink)

In this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. Written in clear, simple language and aimed at a lay audience, this book also offers some strategies that will allow readers to try their ability at solving truly fascinating mathematical problems. Infinity is a deeply counter-intuitive concept that has inspired many great thinkers. In this book we will meet many sages, both familiar and (...) unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan. The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's "Infinity Hotel", Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox and many more. Aimed at the curious but non-technical reader, this book refrains from using any fearsome mathematical symbols. It uses only the most basic operations of mathematics: adding, subtracting, multiplication, division, powers and roots - that is all. But that doesn't mean that a bit of deep thinking won't be necessary and rewarding. Writing with humour and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers instead a truly thrilling intellectual journey. Fasten your seatbelt - we are going to Infinity, and beyond! (shrink)