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Hellenophilia versus the History of Science

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... Desde configurações políticas até metodologias científicas, muitos aspectos da vida contemporânea parecem carregar heranças gregas diretas, apesar da ausência de evidências que confirmem isto (Harloe;Momigliano, 2018;Lima, 2019;Pingree, 1992;Høyrup, 1996). ...
... Segundo Pingree (1992), mesmo no campo acadêmico, espaço para refutação e crítica desta ideia, é possível encontrar produções que reforçam a pretensa grandeza do papel grego como berço do conhecimento. Em diversos compêndios acerca da história da matemática (Boyer, 1974;Eves, 2011), nota-se uma maior atenção às produções gregas, seguidas das mesopotâmicas e egípcias, ignorando quase que por completo outros povos que certamente produziram conteúdos relacionados a matemática durante o mesmo período. ...
... Se inicialmente as evidências eram fraudadas, buscando corresponder a fixação explícita pelos gregos Antigos, atualmente, com o fenômeno já consolidado, a helenofilia opera de modo mais sutil. Pingree (1992) mapeia as consequências dessa obsessão, que parece gerar uma espécie de miopia social, mantendo como verdade uma história baseada em proposições falsas. As falácias geradas e sustentadas a ISSN 1980-4415 DOI: http://dx.doi.org/10.1590/1980 ...
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Resumo A matemática escolar é normalmente associada a um conjunto de procedimentos formais que tem relação com o raciocínio dedutivo, a linguagem algébrica e a abstração. Não negamos a importância destes para o desenvolvimento matemático, porém, são estes mesmos elementos que podem gerar dificuldades de aprendizagem em matemática, já que, em muitas situações, os estudantes não compreendem os sentidos dos conceitos que estão aprendendo. A história nos mostra que muitos conceitos matemáticos surgiram de situações vividas e necessidades vivenciadas por distintas culturas ao longo do tempo. Contudo, a história é apresentada a partir de um olhar colonial e, por isso, tem contribuído para manter uma forma muito específica de se ensinar esta disciplina, colaborando para tornar a matemática distante e pouco significativa para os estudantes. Discutimos como a história da matemática tem reconfigurado e apagado distintas formas de saberes e fazeres - aqui exemplificadas através do mito do surgimento da matemática na Grécia antiga e do pensamento numérico dos palicures - construindo uma ideia de universalidade e a impossibilidade de aceitação de outros conhecimentos fora do cânone. Para este debate, mobilizamos conceitos como helenofilia, helenomania, colonialismo, colonialidade, decolonialidade, monoculturas da mente, educação problematizadora e pedagogia decolonial. O intuito deste artigo é trazer uma reflexão de como a história da matemática tem sido apresentada e, por isso, contribuído para manter uma forma muito específica de se ensinar esta disciplina, colaborando para tornar a matemática distante e pouco significativa para os estudantes.
... The divining practices and their cultural embedding differ widely, but what is most important is that within their cultural contexts, any particular form of divination is a shared, systematic approach to knowledge that is not otherwise attainable. Divination systems are, in fact, considered by some scholars to be sciences [22]. ...
... (The symbolism introduced in Fig. 1 involving C i and c ij is, of course, mine, not theirs.) Eight additional columns are generated according to the following algorithm: The order of generation follows [7,[21][22][23][24][25][26]. As these, the descendants, are generated, they are placed below the mother-sikidy so that the final tableau is as shown in Fig. 2. The referents for the 16 C i are listed in Fig. 3. Using an arbitrary set of data for C 1 to C 4 , Fig. 4 shows an example of a tableau. ...
... sea-going trade involving the southwest coast of India, the Persian Gulf, and the east coast of Africa in the 9th or 10th century C.E. However or whenever the interaction occurred, the Arabic connection is certain; not only is it reiterated in the sikidy origin myth, but Malagasy divination is intertwined with Islamic day and month names and Arabic script [3,[278][279][280][281][282][283]10;17,Ch. 3;23,[17][18][19][20][21][22][23][24][25][26][27][28]. ...
Article
Sikidyis a system of divination that plays a significant role in the lives of the people of Madagascar. Here we focus on the mathematical ideas which it embodies. Formal algebraic algorithms are applied to initial random data, and knowledge of the internal logic of the resulting array enables the diviner to check for and detect errors.Sikidyand the mathematical ideas within it are placed in their cultural and historical contexts.Copyright 1997 Academic Press. Sikidyest un système de divination qui joue un rôle important dans la vie des Malgaches. Notre article porte sur les idées mathématiques que ce système renferme. Des algorithmes algébriques formels sont appliqués à des données initiales recueillies au hasard et la connaissance de la logique interne du tableau qui en résulte permet au devin de chercher et de détecter les erreurs.Sikidyet les idées mathématiques qu'il contient sont placés dans leurs contextes culturel et historique.Copyright 1997 Academic Press. Sikidyist ein Weissagungssystem, das eine bedeutende Rolle im Leben der Einwohner von Madagaskar spielt. Hier untersuchen wir die mathematischen Ideen, die es enthält. Formale algebraische Algorithmen werden auf zunächst wahllose Daten angewandt. Die Kenntnis der inneren Logik der daraus entstehenden Muster ermöglicht es dem Weissager, Fehler zu suchen und zu finden.Sikidyund die mathematischen Ideen, die darin enthalten sind, werden in ihrem kulturellen und historischen Kontext behandelt.
... 1 On Hellenism's mistaking of the Greek heritage, as well as its ignoring of other influences, as from India, see D.Pingree, 1992. "Hellenophilia Versus the History of Science." ...
... Moreover, creativity and transformation brought about by 11 the constant ßow of knowledge from one place to another were prerequisites for the progress of scientiÞc knowledge . The new areas of focus for 12 research included the close connection between scientiÞc and technological endeavors and British imperialism in the 19th century, the effects of colonial rule on indigenous knowledge and institutions, and, lastly, the contribution of Indian and British scholars to establishing institutions and scientiÞc knowledge. The nature of the link between European and non-European civilizations has been made more evident by postcolonial studies. ...
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Knowledge exchange between India and Europe during the early modern period is a complex phenomenon primarily understood as a linear process. Focusing on the periphery of the British Empire, the princely state of Tanjore in 19th century India, the study uncovers the pivotal role played by Raja Serfoji II in fostering knowledge production and exchange. Tanjore, positioned at the edges of the colonial empire, emerged as a unique centre for intellectual pursuits while engaging with the broader global landscape. Raja Serfoji II's initiatives, including the establishment of the renowned Saraswati Mahal Library, are examined as pivotal hubs of knowledge preservation and dissemination. This paper employs a multidisciplinary approach, combining historical analysis, archival research, and cultural studies to unravel the complex web of knowledge networks operating within Tanjore during this period. The research argues that knowledge exchange during this era extended beyond the mere transmission of ideas, as the British in India actively engaged with Indian Knowledge Systems, impacting not only their own understanding but also shaping the global intellectual milieu. By offering a comparative perspective and grounding its analysis in theoretical frameworks of post-colonialism and global history, this paper illuminates the underexplored narrative of knowledge exchange at the periphery of empire, reinforcing the importance of understanding the dynamics of two-way knowledge transmission in the broader context of colonial history.
... The technical term sālkhudā, borrowed from Persian, is often used in Arabic but not in Tājika sources, which consistently employ Sanskrit translations such as varṣeśvara. 93 See Dykes 2009: 185 ff. and 2019b: 185 ff. for translations from Māshāʾallāh and Abū Maʿshar, respectively; cf. also Burnett and al-Hamdi 1991/1992. 94 Bezza 1996 Ptol. Tetr. ...
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... The technical term sālkhudā, borrowed from Persian, is often used in Arabic but not in Tājika sources, which consistently employ Sanskrit translations such as varṣeśvara. 93 See Dykes 2009: 185 ff. and 2019b: 185 ff. for translations from Māshāʾallāh and Abū Maʿshar, respectively; cf. also Burnett and al-Hamdi 1991/1992. 94 Bezza 1996 Ptol. Tetr. ...
... The technical term sālkhudā, borrowed from Persian, is often used in Arabic but not in Tājika sources, which consistently employ Sanskrit translations such as varṣeśvara. 93 See Dykes 2009: 185 ff. and 2019b: 185 ff. for translations from Māshāʾallāh and Abū Maʿshar, respectively; cf. also Burnett and al-Hamdi 1991/1992. 94 Bezza 1996 Ptol. Tetr. ...
Chapter
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... The technical term sālkhudā, borrowed from Persian, is often used in Arabic but not in Tājika sources, which consistently employ Sanskrit translations such as varṣeśvara. 93 See Dykes 2009: 185 ff. and 2019b: 185 ff. for translations from Māshāʾallāh and Abū Maʿshar, respectively; cf. also Burnett and al-Hamdi 1991/1992. 94 Bezza 1996 Ptol. Tetr. ...
Chapter
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... The technical term sālkhudā, borrowed from Persian, is often used in Arabic but not in Tājika sources, which consistently employ Sanskrit translations such as varṣeśvara. 93 See Dykes 2009: 185 ff. and 2019b: 185 ff. for translations from Māshāʾallāh and Abū Maʿshar, respectively; cf. also Burnett and al-Hamdi 1991/1992. 94 Bezza 1996 Ptol. Tetr. ...
... The technical term sālkhudā, borrowed from Persian, is often used in Arabic but not in Tājika sources, which consistently employ Sanskrit translations such as varṣeśvara. 93 See Dykes 2009: 185 ff. and 2019b: 185 ff. for translations from Māshāʾallāh and Abū Maʿshar, respectively; cf. also Burnett and al-Hamdi 1991/1992. 94 Bezza 1996 Ptol. Tetr. ...
Chapter
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... The technical term sālkhudā, borrowed from Persian, is often used in Arabic but not in Tājika sources, which consistently employ Sanskrit translations such as varṣeśvara. 93 See Dykes 2009: 185 ff. and 2019b: 185 ff. for translations from Māshāʾallāh and Abū Maʿshar, respectively; cf. also Burnett and al-Hamdi 1991/1992. 94 Bezza 1996 Ptol. Tetr. ...
... Costard, one of the earlier Englishlanguage writers on astronomical history, spoke for an older non-observational school where the Bible remained a crucial text for astronomy and where scientific evidence of the Earth's age was rejected. Costard's combination of biblicism and Hellenophilia (Pingree, 1992) could not stand up against the flow of atlases, codices and scientific manuscripts of every sort flowing into European libraries from Asia, Africa and the Americas as a result of colonial empire-building. ...
... To return to the earlier example with the context-dependent • symbol, by now 1, 6, 10, or 18 units of anything could be expressed as , , , and , respectively. While this system did not supplant the traditional systems for accounting purposes, it enabled mathematical investigations that were of little practical value administratively, and found application some 1,500 years later in Babylonian astronomy, perhaps the earliest empirical science that can be historically linked to modern practice (Damerow & Englund, 1993b;Joseph, 1987;Pingree, 1992). ...
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It is popular in psychology to hypothesize that representations of exact number are innately determined—in particular, that biology has endowed humans with a system for manipulating quantities which forms the primary representational substrate for our numerical and mathematical concepts. While this perspective has been important for advancing empirical work in animal and child cognition, here we examine six natural predictions of strong numerical nativism from a multidisciplinary perspective, and find each to be at odds with evidence from anthropology and developmental science. In particular, the history of number reveals characteristics that are inconsistent with biological determinism of numerical concepts, including a lack of number systems across some human groups and remarkable variability in the form of numerical systems that do emerge. Instead, this literature highlights the importance of economic and social factors in constructing fundamentally new cognitive systems to achieve culturally specific goals. (PsycInfo Database Record (c) 2021 APA, all rights reserved)
... In addition to footnote 3 seeRochberg (1992),Pingree (1992), and von Staden (1992) in the special issue Isis 83.4 (1992), "The Cultures of Ancient Science",van de Mieroop (1997), andGabriel (2018), ...
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This article introduces a double issue comprising 11 papers about Babylonian and Egyptian priests and scholarship between ca. 600 BCE and 200 CE. They constitute the proceedings of the workshop “Scholars, Priests, and Temples: Babylonian and Egyptian Science in Context”, which was held at the Humboldt University Berlin, 12–14 May 2016, with support of the Excellence Cluster TOPOI. The workshop brought together Assyriologists and Egyptologists with expertise in Babylonian and Egyptian scholarship, priesthoods and temple institutions. All contributions have been revised and updated since then. The present contribution offers a brief introduction on previous research, cross-cultural interactions, economic aspects, royal patronage, and internal developments of Babylonian and Egyptian temple scholarship, followed by short summaries of the papers.
... "The historian ... requires a very broad definition of 'science'one that... will help us to understand the modern scientific enterprise. We need to be broad and inclusive, rather than narrow and exclusive... and we should expect that the farther back we go [in time] the broader we will need to be." (Lindberg, 2007: 3;Pingree, 1992). To define science simply and narrowly only with the notion and understanding of the 21st century would be misleading. ...
... We say we have science because there is a signifi cant group within our society who reject these ideas in favour of science. Th e group of ancient Greeks who do the same may 9 Pingree, 1992 be smaller, but that is only to be expected. I argue the Greeks originated science because for the fi rst time we can isolate such a group in a society. ...
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This paper was given as a public lecture to open the 2005 Conference of Greek Studies. It presents a case for locating the origins of science with the ancient Greeks. Although this was once a common view, it has come under fire in the latter part of the twentieth century. The main case is presented briefly, along with some new considerations in favour of the Greeks as the originators of science. There is then a discussion of some of the strategies that might be employed to counter some of the objections that have been raised, either relating to some of the weaknesses of Greek science or to some of the methodological issues involved in approaching ancient Greek science.
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There are many foreign astronomical materials that were preserved in the Chinese translation of Buddhist canons. From the content, these astronomical materials include cosmology theories, lunar mansion systems, calendrical data, etc. These astronomical materials are important evidence for the exchange and dissemination of astronomy between ancient civilizations. This paper aims to sort out and analyze the astronomical materials preserved in the Chinese translation of Buddhist canons, classifying and differentiating the content of astronomy, which was foreign to China, tracing the origins of these astronomical knowledge, discussing their impact on local astronomy in China, and evaluating the preservation form, characteristics, reliability, functionality, and limitations of these astronomical materials. Through the above discussion, this paper will demonstrate the core meaning of the historical view of transcultural transmission of sciences and technology, which is ‘knowledge progresses through dissemination and civilization thrives through communication’.
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The exchange of knowledge between India and Europe during the early modern period represents a multifaceted phenomenon that has predominantly been perceived as a unidirectional flow. This study delves into the peripheries of the British Empire, specifically the princely state of Tanjore in 19th century India, to highlight the critical role of Raja Serfoji II in the promotion of knowledge production and exchange. Situated on the fringes of the colonial empire, Tanjore emerged as an exceptional locus for scholarly activities, while simultaneously engaging with the expansive global intellectual landscape. The endeavors of Raja Serfoji II, most notably the founding of the esteemed Saraswati Mahal Library, are scrutinized as central nodes for the conservation and diffusion of knowledge. Utilizing a multidisciplinary methodology that integrates historical analysis, archival exploration, and cultural studies, this research endeavors to disentangle the intricate networks of knowledge exchange within Tanjore during this timeframe. It underscores the necessity of appreciating the reciprocal nature of knowledge exchange in the expansive narrative of colonial history, thereby enhancing our understanding of the intricate dynamics that characterized these interactions.
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Academics tend to look on 'esoteric', 'occult' or 'magical' beliefs with contempt, but are usually ignorant about the religious and philosophical traditions to which these terms refer, or their relevance to intellectual history. Wouter Hanegraaff tells the neglected story of how intellectuals since the Renaissance have tried to come to terms with a cluster of 'pagan' ideas from late antiquity that challenged the foundations of biblical religion and Greek rationality. Expelled from the academy on the basis of Protestant and Enlightenment polemics, these traditions have come to be perceived as the Other by which academics define their identity to the present day. Hanegraaff grounds his discussion in a meticulous study of primary and secondary sources, taking the reader on an exciting intellectual voyage from the fifteenth century to the present day and asking what implications the forgotten history of exclusion has for established textbook narratives of religion, philosophy and science.
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A defining period in the history of civilization occurred in ancient Mesopotamia. While some of Mesopotamian contributions to knowledge (writing, mathematics, astronomy) have been recognized, those made to medicine are just beginning to be studied and appreciated. The medicine of the time developed in a theocratic society where local gods controlled all aspects of life and their healers were learned scribes who established the priestly medicine of old. For their use of prayers and incantations as a component of therapy Mesopotamian medicine has been belittled and relegated to magic. In fact, the Mesopotamian healers established the basic medical skills of observation, diagnosis, prognosis and treatment and, over time, systematically produced an expanding corpus of medical knowledge that had not existed theretofore. The kidney as an organ, the components of the urogenital tract, some signs and symptoms of renal diseases, and the art of urinalysis were first conceptualized, studied, and codified in Mesopotamia. In doing so, the Mesopotamians set the foundations of rational medicine that would follow after the introduction of the phonetic alphabet and the Socratic method of questioning and debate to stimulate critical analysis.
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This paper views the relevance of cuneiform texts to the history of science from inside, i.e., from the perspective of the available sources, as well as from outside, i.e., from the perspective of historians of science outside the field of Assyriology. It reviews some of the methodological problems that beset the reconstruction of science in the ancient Near East as well as a way forward, which acknowledges localism and pluralism as well the compelling continuity from cuneiform traditions of knowledge to later counterparts (astronomy, astrology, magic, astral-medicine). Cuneiform texts will not instantiate a universal or transcultural science but are essential if science is to be seen as embedded in culture and history.
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Every culture has mathematics, but some have more than others. The cuneiform cultures of the pre-Islamic Middle East left a particularly rich mathematical heritage, some of which profoundly influenced late Classical and medieval Arabic traditions, but which was for the most part lost in antiquity and has begun to be recovered only in the last century or so.
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