In this paper, we examine the brief history of the ring of four almonds regarding Mesopotamian mathematics, and present reasons why the Omar Khayyam's triangle, a special right triangle in a ring of four almonds, was essential for artisans due to its unique pattern. We presume that the ring of four almonds originated from a point symmetry figure given two concentric squares used in the proto-Sumerian Jemdet Nasr period (approximately 3000 B.C.) and a square halfway between two given concentric squares used during the time of the Old Akkadian period (2340-2200 B.C.) and the Old Babylonian age (2000-1600 B.C.). Artisans tried to create a new intricate pattern as almonds and 6-pointed stars by subdividing right triangles in the pattern of the popular altered Old Akkadian square band at the time. Therefore, artisans needed the Omar Khayyam's triangle, whose hypotenuse equals the sum of the short side and the perpendicular to the hypotenuse. We presume that artisans asked mathematicians how to construct the Omar Khayyam's triangle at a meeting between artisans and mathematicians in Isfahan. The construction of Omar Khayyam's triangle requires solving an irreducible cubic polynomial. Omar Khayyam was the first to classify equations of integer polynomials of degree up to three and then proceeded to solve all types of cubic equations by means of intersections of conic sections. Omar Khayyam's triangle gave practical meaning to the type of cubic equation $x^3+bx=cx^2+a$. The work of Omar Khayyam was completed by Descartes in the 17th century.
The Journal of the Convergence on Culture Technology
/
v.5
no.2
/
pp.111-116
/
2019
This paper considers the historical background of the emergence of 'thinking-machine,' that has changed the ontological statue of human and machine. In particular, British mathematician Charles Babbage's Calculating Engines is examined as a material iteration of thinking-machine, focusing on the discursive process by which thought is not the faculty of human, but the function of machine. In Chapter II, I review the dualism of René Descartes who denied the possibility of machine intelligence by separating the substance of body and mind. In Chapter III, Babbage's philosophical assertions which emphasized the function of human associated with thought by rejecting the fundamental opposition between human and machine. Therefore, this paper verifies that the conception of 'thinking-machine' essentially causes the reorganization and reformulation of concepts involved with human identity, and provides the sophisticated sources to prepare new perspective on the artificial technology nowadays.
Journal of the Architectural Institute of Korea Planning & Design
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v.35
no.11
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pp.101-108
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2019
In this study, Le Corbusier's ideas were investigated from the view point of modern dualism. Le Corbusier, pioneer of modern architecture, insisted a rationalistic architecture for the industrial period, considering a house as 'machine for living'. In the other way, he tried to arouse emotions through architecture, mentioning a house as 'machine for affecting'. In his writings and paintings, he divided the world in the two opposed things (ex: human and nature, reason and sensation, chaos and order, orthogonal and libre curve, man and woman, sun and moon, lightness and darkness, bull and woman, and etc), and tried to combined the these two divided things. In architecture, he amalgamated his white buildings with the green vegetation, which is styled in the harmony of contrast(nature and articial). In urbanism, Le Corbusier did not divide nature only into three material elements for living(sunlight, air, green space), but also pursued poetic and aesthetic nature through buildings under the rays of sun and among the vegetation. Le Corbusier's dualistic ideas are based on Descartes's modern dualism, which divided the world into the material and the spiritual and into the objective and the subjective. Due to this original division, modern dualism contains the limits of extreme subjectification on human signification and of separation from the world and nature. Le Corbusier pursued the combination of the two divided things to overcome the contradiction of dualism, but his ideas and works contain the limits of the modern dualism.
Purpose: The present study assessed the role of an amino acid-based formula (AAF) in the growth of infants with cow's milk protein allergy (CMPA). Methods: Non-breastfed, term infants aged 0-6 months with symptoms suggestive of CMPA were recruited from 10 pediatric centers in China. After enrollment, infants were started on AAF for two weeks, followed by an open food challenge (OFC) with cow's milk-based formula (CMF). Infants with confirmed CMPA remained on AAF until 9 months of age, in conjunction with a cow's milk protein-free complementary diet. Body weight, length, and head circumference were measured at enrollment and 9 months of age. Measurements were converted to weight-for-age, length-for-age, and head circumference-for-age Z scores (WAZ, LAZ, HCAZ), based on the World Health Organization growth reference. Results: Of 254 infants (median age 16.1 weeks, 50.9% male), 218 (85.8%) were diagnosed with non-IgE-mediated CMPA, 33 (13.0%) tolerated CMF, and 3 (1.2%) did not complete the OFC. The mean WAZ decreased from 0.119 to -0.029 between birth and enrollment (p=0.067), with significant catch-up growth to 0.178 at 9 months of age (p=0.012) while being fed the AAF. There were no significant changes in LAZ (0.400 vs. 0.552; p=0.214) or HCAZ (-0.356 vs. -0.284; p=0.705) from the time of enrollment to age 9 months, suggesting normal linear and head growth velocity. Conclusion: The amino acid-based study formula, in conjunction with a cow's milk proteinfree complementary diet, supported normal growth till 9 months of age in a cohort of Chinese infants with challenge-confirmed non-IgE-mediated CMPA.
The Journal of the Convergence on Culture Technology
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v.9
no.5
/
pp.421-430
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2023
Humans before modern society were concerned about "what kind of being the humans are." Human beings who have gone through this age of thinking incorporate their existence into capitalism. Marx (Karl Heinrich Marx; 1818~1883) asks 'what kind of job do you live in?' After that, we get into the modern society, in which human beings ask themselves questions about the hidden existence of the subject of desire. A hidden being is an existence concealed by language. We will diagnose this as language labor and develop a critical mind. We are both the subject of language and those of language labor. Jacques Lacan(Jacques Lacan;1901~1981)'s psychoanalysis pays attention to the subject who escapes from the labor of language. In the remaining place of language labor, there are invisible ethics. In this text, we'd like to reveal the hidden meaning of the subject who resists the labor of language.
This Article studies a meaning of geometrical-mathematical spatial idea in the source of modern theories of space. Modern theories of space elucidated a relation of human and space through the geometrical terms; point, line, plane and extension etc. Descartes and Newton identified space as a natural realty, Leibniz and Kant elucidated space as a subjective idea or form. It is the result of modern spatial theories that space is lied nearly in human. In the meaning of natural space, space is empirically unfolded with a shape of measuring in front of human's eyes. In the meaning of cognitional space, space is a method or subjective cognitional form that human understands nature and constitutes world. Modern theories of space would be divided into four patterns. In Newton's theory space is absolutely prior to things. In Leibniz' theory space is a co-existence order of Monads. In Descartes's theory space is identified with extension. In Kant's theory space is cognitional form of subject. They all are confronted with each other in the source of space. In their confrontation they reflected on the relation of human and space in their own standpoint. We classify their particularly differential concepts of space into natural space and cognitional space. And then we analyze a difference of spatial meanings, and then investigate foundations of meaning of modern theories of space. On the one hand they are become to the source of alienation of human from space. But on the other they are contributed to get space familiar with human through a wakening for the correlation of human and space. The natural space indicates that with measurable shape space is extended really in front of human's experiential eyes. But the cognitional space elucidates that space is only a subjective idea or form with which human understands nature and constructs world. In the former it is embossed that space is independent to human, and is able to be measured and to be treated according to natural raws. In the latter it is evidenced that space is not separated to human, and that space is not without human, and a correlation existed between human and space. Humanist ideal is declared in them. It was a declaration of human sovereignty to nature. But this declaration is caused to alienate human beings from space.
Animation which appeared with films in the late 19th century was a medium which came on obtaining nourishment from art historical style of modernism. However, the relation establishment between animation and modernism has been focused mainly on animation shapes, namely painted images. This sprang from explaining the relationship between animation and paintings, and for this reason, discussions of movements in animation were understood in tradition of chromophotograph of Muybridge and Jules Marey, or some characteristics owned by the live-action film. However, movements of animation were essentially different from the indexical sign of films or photogram, and objects of reproduction were different between them. Movements reproduced by animation are not ordinary movements, but expressions of or compressed movements and considerably systematic movements. As a result, these movements are far from reproduction of live-action film photogram. Rather, the logic of movements reproduced by animation comes near to controlling their motion scopes, time, distance etc. after dividing each part of the body. This is concluded in a standpoint of modern mechanism which is represented by Descartes and La Mettrie who tried to understand human body as a exchangeable machine. Design of modern mechanism ranging from modern society to industrial society and the age of modernism came to lead to analysis of physical motions of modern industrial society called composition of efficient movements understanding them as the law of nature rather than movements as nature. In the late 19th century, Taylor, F. W. and Gilbreth, Frank Bunker's studies of workers' working hours and 'motion study' were a way of constituting the frame of machine-human, which indicates that tradition of modern mechanism affected the entire modernism passing through industrial society. Further, we can see that motion studies conducted by them have almost similar characteristics to action analysis to study animation later in the name of 'timing'.
In our days, we live in the world of image and imagination. Now we think that the images and imaginations are no more selective but indispensable elements in our life. The status of imagination is dramatically changed since 20 century. Many philosophers like G. Bachelard, G. Durand, Paul Ricoeur, H. Corbin, G. Deleuze made great contributions and we think that the studies of imagination began since 20 century. But the change of the status of imagination was not made in one day. In the long history of human life, the imagination kept his own value, and never stopped to give his influence to the human mentalities. The concept of imagination was born from the Plato's notion of phantasia. Plato thinks that the phantasia is a kind of drawing capacity in mind in the process of recognition. But the image which phantasia makes is not real one but pseudo one. So it is necessary to banish those false images from our recognition. Aristotle thought phantasia as an afterimage of object of sense. The sense is always true, but the phantasia is very possible to be an error. After Plato and Aristotle, the notion of phantasia developed into that of imagination, but it was always a problem full of contradictions. According to G. Durand, we can say, in some sense, the history of western philosophy is a kind of struggle against the image and imagination. In Middle Age, the iconoclasm tried to exclude image from their religion. Thomas Aquinas tried to explain the image by the rationalistic christianisme. In 16-17C Galilei and Descartes solidified the exclusion of imagination from the philosophy in the name of science and reason. The empiricism and positivism was the final and the most conclusive philosophies which exclude the imagination definitively from the field of philosophy. But the imagination continued his influence in the field of art. In the age of Renaissance, the imagination found his way of liberal expression, and this trend was inherited to Baroque. From the middle of 17c many philosophical theories supported the imagination by many philosophers like J.-B. Dubos, Baumgarten, A. Becq, J.-J. Rousseau etc. The Romanticism was the first significant wave which made the imagination come forward in front the art. The romanticism broke the narrow frame of rationalism and expand human's view of the world to the cosmos. From the romanticism, the imagination became a faculty which expresses the unity of human and nature. That was impossible by the rational thinking of rationalism. The concept of new imagination made a new future of human, 'the imagining conscious' and this imagining conscious provided a solid base of next generation's symbolism and surrealism.
This Paper aims to elaborate on the origin of thinking mind. And this is a cooperative project between philosophy and neuroscience and brain science. I have written this paper in admiration for the achievements of twentieth century neuroscience and brain science, and out of desire to assist the subject in future. Much of the history of modern philosophy, from Descartes and Kant forward, consists of failed models of brain. As Edward O. Wilson precisely said, the shortcoming is not the fault of the philosophers, who have doggedly pushed their methods to the limit, but a straightforward consequence of the biological evolution of the brain. Guiding that investigation down pathways that will illuminate brain research is a task of neuroscience and brain science. Investigating logical relations among concepts is a philosophical task. If we are to understand the neural structures and dynamics that make perception, thought, intentional behaviour possible, clarity about these concepts and categories and their relations is essential. Hence our joint venture of philosophy and science. Sure, it is human beings that perceives, not parts of its brain. And it is human beings that who think and reason, not their brain. But the brain and its activities make it possible for human beings-not for it-to perceive and think, to feel emotions, and to form and pursue projects. Thus We try to investigate and reveal the origin of thinking mind as follow: 1) The difference between chimpanzee and human beings 2) brain and mind 3) the origin of thinking 4) the wisdom of nature.
Given that the goal of study lies in the pursuit of truth and that philosophy asks questions about the origin of being, dealing with existence rather than essence is distant from the original meanings of philosophy. In spite of this, people talk about existence because it is closely related to the academic goals of phenomenology. It is true that phenomenology is Wesenswissenschaft ("the science of essences") in that it tries to restore the original nature of philosophy and establish philosophy as a strict science, but it cannot be ignored in phenomenological research that essence starts from existence. The purpose of this study is to examine the issues that traditional philosophy has sought after and missed by focusing on the issue of "existence." Existence is man's participation in the world, thus being expressed as being-to-the-world. All that has been perceived is understood in total unity and accordingly cannot be restored to ideological essence. In the end, the issue of existence should make a new start at the root of perception. Man is a thinking being and, at the same time, acting being. Here, an attempt to determine the priority between thinking and acting will be meaningless, indeed, and make an issue where there is none. Human beings will not thus stay at Descartes cogito argument' and try to go out into the world through the door opened by cogito. With these reasons in mind, this study examines the issue of existence with a focus on a phenomenal field and body.
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