• Title/Summary/Keyword: Descartes

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Harriot's algebraic symbol and the roots of equation (Harriot(1560-1621) 의 대수기호와 방정식의 근)

  • Shin, Kyung-Hee
    • Journal for History of Mathematics
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    • v.25 no.1
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    • pp.15-27
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    • 2012
  • Thomas Harriot(1560-1621) introduced a simplified notation for algebra. His fundamental research on the theory of equations was far ahead of that time. He invented certain symbols which are used today. Harriot treated all answers to solve equations equally whether positive or negative, real or imaginary. He did outstanding work on the solution of equations, recognizing negative roots and complex roots in a way that makes his solutions look like a present day solution. Since he published no mathematical work in his lifetime, his achievements were not recognized in mathematical history and mathematics education. In this paper, by comparing his works with Viete and Descartes those are mathematicians in the same age, I show his achievements in mathematics.

On the Meaning of 'Activity' in Mathematical Cognition (수학적 인식에서 '활동'이 갖는 의미에 대한 고찰)

  • 홍진곤
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.151-165
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    • 1999
  • In this study, I consider the meaning of activity as the source of mathematical knowledge. Mind-body dualism of Descartes which understands that knowledge precedes activity is somewhat overcomed by Ryle who understands that knowledge and activity are two sides of the same coin. But his discussion cannot offer the explanation about the foundation of rightness or the development of rules which can be expressed propriety of activity or rationality. Contrary to these views, Piaget solve this problem by the reasonability of 'the whole system of activity'. The theory of Dewey can be evaluated as an origin of activism of Piaget. Piaget considers knowledge as the system of activity itself, whereas Dewey considers knowledge as 'the result of activity'. This view of Dewey is related to the view of pragmatism which considers 'practice' is more important than 'theory'. The nature of 'activity' in this study has to be understanded as the interaction or the relation between the subject and the object. If we understand activity like this, we can explain that the whole structure of activity has the 'wholeness' that cannot be simply restored to the sum total of 'parts' and the new structure is a self-regulative transformation system which includes former structure continuously.

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A Study on the Digital Architectural Space's Characteristic of Expression Based on the Traditional Architecture Properties - Focused on the Immateriality Characteristics - (전통 건축 공간 특성으로 본 디지털 건축 공간의 표현특성에 관한 연구 - 비물질적 특성을 중심으로 -)

  • Lee, Joon-Ho
    • Korean Institute of Interior Design Journal
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    • v.23 no.5
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    • pp.51-57
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    • 2014
  • In the early 20st century, created distrust on the mechanistic and dualistic view based on the world of Descartes and Newton. As the features of this new science cannot be explained by the existing Western philosophy but can be explained by the thinking system immanent in the Oriental traditional thought, many scientists and philosophers are concentrating their interests on the Oriental philosophy. In addition, some have been making efforts to find solutions needed for a new paradigm from the thinking system of the Orient. A variety of discussions have also been raised in connection with architecture due to this philosophical change. It has now become possible to conduct free creative acts, staying away from physical limitations, including gravity by diversified simulations through a computer. This physical liberation in turn has caused new changes to the spatial concept of architecture, thereby granting the freedom of the expression that could not be even imagined before and opening a possibility of new architecture and space. At the same time, the digital space architecture actively accommodating this technology is generating a phenomenon that the existing physical and realistic things are rapidly being changed gradually to immaterial and unrealistic ones. This study has analyzed the properties of digital architectural space as the immateriality of our traditional architectural space. The results are as follows: It can be seen that the immaterial features exhibited in the digital architectural space and the traditional architectural one are not just interconnected with specific features, but they are correlated to all immaterial features. Thus, immateriality that are common in the traditional and digital architectural spaces is complementary organic, which is contained in the ambiguity of boundary between other spaces. It is regarded to the architecture as a living things in space diversity based on ideological similarities.

Lignin signatures of vegetation and soils in tropical environments

  • Belanger, E.;Lucotte, M.;Gregoire, B.;Moingt, M.;Paquet, S.;Davidson, R.;Mertens, F.;Passos, C.J.S.;Romana, C.
    • Advances in environmental research
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    • v.4 no.4
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    • pp.247-262
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    • 2015
  • The few lignin biomarker studies conducted in tropical environments are hampered by having to use references signatures established for plants and soils characteristic of the temperate zone. This study presents a lignin biomarker analysis (vanillyls (V), p-hydroxyls (P), syringyls (S), cinnamyls (C)) of the dominant plant species and soil horizons as well as an analysis of the interrelated terrigenous organic matter (TOM) dynamics between vegetation and soil of the $Tapaj{\acute{o}}s$ river region, an active colonization front in the Brazilian Amazon. We collected and analyzed samples from 17 fresh dominant plant species and 48 soil cores at three depths (0-5 cm, 20-25 cm, 50-55 cm) from primary rainforest, fallow forest, subsistence agriculture fields and pastures. Lignin signatures in tropical plants clearly distinguish from temperate ones with high ratios of Acid/aldehyde of vanillyls ((Ad/Al)v) and P/V+S. Contrary to temperate environments, similarly high ratios in tropical soils are not related to TOM degradation along with pedogenesis but to direct influence of plants growing on them. Lignin signatures of both plants and soils of primary rainforest and fallow forest clearly distinguish from those of non-forested areas, i.e., agriculture fields and pastures. Attalea speciosa Palm trees, an invasive species in all perturbed landscapes of the Amazon, exhibit lignin signatures clearly distinct from other dominant plant species. The study of lignin signatures in tropical areas thus represents a powerful tool to evaluate the impact of primary rainforest clearing on TOM dynamics in tropical areas.

A Study on Sustainable Earth Architecture Characteristic from Ecological Aesthetic Point of View - Focus on the thoughts of Lao-tzu - (생태미학적 관점에서의 지속가능한 흙건축 특성에 관한 연구 - 노자사상을 중심으로 -)

  • Kim, Seol-Hyi;Hur, Bum-Pall
    • Korean Institute of Interior Design Journal
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    • v.20 no.4
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    • pp.54-62
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    • 2011
  • Fast industrialization caused from Descartes' dichotomy has enormously developed our world, but endangered the ecosystem. In this study, the ecosystem aesthetics is not only a critique against existing growth-ideology and technical civilization, but also the art pursuing the life as an artistic state and achieving the dream for qualitatively different new future. Lao-tzu's Natural Beauty assumes that the adaptation to natural laws can lead every purpose's achievement. Based on such theoretical alternative, the earth construction as a medium for coexisting mankind, nature and construction interacts with the other objects through the natural affinity, the energy efficiency, the material generation. The earth construction provides the images of naivety, naturalness, folk as well as emotional stability in cultural terms. This study's direction and method are as follows. First, it researches the ecosystem aesthetics from the Taoism viewpoint, the alternative for environmental healing based on theoretical reviews about the ecosystem aesthetics. Second, it researches the earth construction's ecosystem aesthetic features and construction features from the low-tech aspect in continual construction genealogy. Third, it analyzes some cases targeting domestic buildings by drawing out expression methods and features through the connectivity of earth construction and ecosystem aesthetics. The earth construction lies between the heaven and the earth, but coexists in natural cycle. The earth construction caused from ecosystem aesthetics will be a future alterative, and various studies about its features and methods should be continued.

Analysis of Secondary Pre-service Science Teachers' Conceptions about Motion of Objects Based on the Viewpoints of Science History (예비 중등과학 교사들의 물체의 운동 개념의 과학사적 관점 분석)

  • Joo, Jee-Young;Kim, So-Yean;Paik, Seoung-Hey
    • Journal of The Korean Association For Science Education
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    • v.24 no.6
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    • pp.1049-1062
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    • 2004
  • In this study, various scientific viewpoints of 'motion of objects' were analyzed from the Aristoteles age to the Newton age. From the analysis, a questionnaire was developed which was including causes of motion, forms of motion, and preservation quantity of movement. The conceptions of pre-service science teachers were researched by the questionnaire developed in this study based on the science historical viewpoints. The subjects were twenty sophomore students of physic education major and thirty four of other science education major who majored common science education also in a college. Most of the pre-service teachers of physical education major had inertia and Newton's force conception related to the question situations of 'causes of motion' and 'forms of motion'. But a lot of the pre-service teachers of physic education major and other science education major had viewpoints of Descartes or Huygens related to the question situation of 'preservation quantity of movement'. Only few pre-service teachers regardless of major had Newton's viewpoint which represented in current Korean science curriculum for secondary school.

A study on the rectangular coordinate system via comparing the interrelated influence between mathematical knowledge evolution and historical development of Cartography in Europe (서양의 역사적인 지도제작법의 발달 과정과 수학적 지식의 상호 영향 관계를 통해 본 직교좌표계)

  • Lee, Dong Won
    • Journal for History of Mathematics
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    • v.25 no.4
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    • pp.37-51
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    • 2012
  • By comparing the development history of rectangular coordinate system in Cartography and Mathematics, we assert in this manuscript that the rectangular coordinate system is not so much related to analytic geometry but comes from the space perceiving ability inherent in human beings. We arrived at this conclusion by the followings: First, although the Cartography have much influenced to various area of Mathematics such as trigonometry, logarithm, Geometry, Calculus, Statistics, and so on, which were developed or progressed around the advent of analytic geometry, the mathematical coordinate system itself had not been completely developed in using the origin or negative axis until 100 years and more had passed since Descartes' publication. Second, almost mathematicians who contributed to the invention of rectangular coordinate system had not focused their studying on rectangular coordinate system instead they used it freely on solving mathematical problem.

Die sinnliche Vorstellung und der Geist in der Berkeleyschen Erkenntnistheorie (버클리 인식론에서 감성적 관념과 정신)

  • Mun, Seong-Hwa
    • Journal of Korean Philosophical Society
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    • v.105
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    • pp.215-242
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    • 2008
  • Die Erkenntnistheorie von Berkeley entwickelt sich in der Auseinandersetzung mit den Lehren von Descartes und Locke, und sie ist als die idealistische Linie durch Hume mit dem deutschen Idealismus verbunden. Berkelez nimmt die Erfahrung als Ausgangspunkt der $M{\ddot{o}}glichkeit$ des Denkens an, und bei ihm kann die Erkenntnis durch die radikale Untersuchung des Objekts zur Sicherheit gelangen. Durch diese Untersuchung will er den Skeptizismus und die Spekulation, die sich auf das innere, unerfahrbare Wesen der Dinge bezieht, vernichten. Wir $k{\ddot{o}}nnen$ also bei ihm die Sinnesideen(ideas imprinted on the sense) als die Objekte der Erkenntnis, den Geist (mind) als das Subjekt der Erkenntnis und das $Ged{\ddot{a}}chtnis$ und die Einbildungkraft (memory and imagination) als die Vermittlung der Erkenntnis auffassen. Berkeley nennt solche Objekte die sinnlich von uns wahrgenommenen Dinge. Solche Dinge sind zwar wirkliche Dinge, aber sie bestehen als die durch die Sinne wahrgenommenen Ideen nicht $selst{\ddot{a}}ndig$ $au{\ss}erhalb$ der Geister, der sie wahrnimmt oder erkennt, existieren. Daher ist nach Berkeley 'esse'(das Sein solcher Dinge) 'percipi'(Wahrgenommenwerden): "esse est percipi".

Newton's Huristics of the Discovery of Dynamics - Transformation and Synthesis (뉴턴의 발견법 - 변형재구성)

  • Park, Mi-Ra;Yang, Kyoung-Eun
    • Journal of Korean Philosophical Society
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    • v.148
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    • pp.157-181
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    • 2018
  • The aim of this essay is to identify elements of methodologies to investigate the development of Newtonian dynamics. This methodology involves the transformation and synthesis of preceding theories. My essay attempts to confirm my assertion by analyzing historical case of Newton's discovery of his dynamics. While discovering his mechanistic theory, Newton reconstructed theoretical concepts and structures of intellectual predecessors, such as Aristotle, Descartes, Galileo, and Kepler. Newton's synthesis was possible only after carefully reconstructing the appropriate and useful ideas of previous natural philosophers' ideas. As a result, Newtonian dynamics are completed with these modified and integrated concepts incorporated into Newton's law of motion and space-time concepts. This study consists of two parts. First, Lakatos' research program has been applied in order to analyze the structure of Newtonian dynamics. Second, the aforementioned methodologies of discovery are distilled from the case study.

Self-Consciousness Information of the one who just came up (생겨난 이의 자기의식 정보)

  • Kim, Myeongseok
    • Korean Journal of Logic
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    • v.22 no.1
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    • pp.1-23
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    • 2019
  • Gott, Carter, Leslie, Bostrom and so on, as Descartes did, have made the evidence that is "I am here as an observer" to support many other beliefs. Bostrom and others who studied observation selection effects are missing two points. First, the self-consciousness information of the ones who just came up is distinct from that of the ones who have awoken. The awoken 'I' can trace back by memory to the past, but the 'I' who just came up can not. Second, when calculating credence, we must distinguish the ones in the possible worlds from the ones in the actual worlds. An estimate of credence where only one possible world is actualized among all possible worlds, differs fundamentally from that where all possible worlds are actualized. Keeping these two points in mind, we have explored what is the nature of the self-consciousness information of the one who just came up. We examine in depth the two human embryos thought experiment.