• Korean Journal of Logic
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• v.5 no.2
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• pp.39-66
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• 2002

일반적으로 엄밀한 방법을 통하여 증명되었다고 말해지는 괴델의 불완전성 정리는 일련의 전제와 배경지식이 요구된다고 하겠다. 이들 중에서 무엇보다도 중요한 것은 정리의 증명에 사용되는 메타언어상의 수학적 참에 대한 개념이다. 일단 확인할 수 있는 것은 "증명도, 반증도 되지 않지만 참인 산수문장의 존재"라는 불완전성 정리의 내용에서 괴델이 가정하고 있는 수학적 참의 개념이 구문론적인 증명개념으로부터 완전히 독립되어야 한다는 점이다. 문제는 그가 가정하고 있는 수학적 참의 개념이 도대체 무엇이어야만 하겠는가라는 점이다. 이 논문은 이 질문과 관련하여 내용적으로 3부분으로 나누어 질 수 있다. I. 괴델의 정리의 증명에 필요한 전제들 및 표의 도움을 얻어 자세히 제시되는 증명과정의 개략도를 통해 문제의 지형도를 조감하였다. II, III. 비트겐슈타인의 괴델비판을 중심으로, "일련의 글자꼴이 산수문장이다"라는 주장의 의미에 대한 상식적 비판 및 해석에 바탕을 둔 모형이론에 대한 대안제시를 통하여 괴델의 정리를 증명하기 위해 필요한 산수적 참에 관한 전제가 결코 "확보된 것이 아니다"라는 점을 밝혔다. IV. 괴델의 정리에 대한 앞의 비판이 초수학적 전제에 대한 것이라면, 3번째 부분에서는 공리체계에서 생성 가능한 표현의 증명여부와 관련된 쌍조건문이 그 도입에 필수적인 괴델화가 갖는 임의성으로 인해 양쪽의 문장의 참, 거짓 여부가 서로 독립적으로 판단 가능하여야만 한다는 점에(외재적 관계!) 착안하여 궁극적으로 자기 자신의 증명여부를 판단하게 되는 한계상황에 도달할 경우(대각화와 관련된 표 참조) 그 독립성이 상실됨으로 인해 사실상 기능이 정지되어야만 한다는 점, 그럼에도 불구하고 이 한계상황을 간파할 경우(내재적 관계로 바뀜!)항상 순환논법을 피할 수 없다는 점을 밝혔다. 비유적으로 거울이 모든 것을 비출 수 있어도 자기 스스로를 비출 수 없다는 점과 같으며, 공리체계 내 표현의 증명여부를 그 체계내의 표현으로 판별하는 괴델의 거울 역시 스스로를 비출 수는 없다는 점을 밝혔다. 따라서 괴델문장이 산수문장에 속한다는 믿음은, 그 문장의 증명, 반증 여부도 아니고 또 그 문장의 사용에서 오는 것도 아니고, 플라톤적 수의 세계에 대한 그 어떤 직관에서 나오는 것도 아니다. 사실상 구문론적 측면을 제외하고는 그 어떤 것으로부터도 괴델문장이 산수문장이라는 근거는 없다. 그럼에도 불구하고 괴델문장을 산수문장으로 볼 경우(괴델의 정리의 증명과정이라는 마술을 통해!), 그것은 확보된 구성요소로부터 조합된 문장이 아니라 전체가 서로 분리불가능한 하나의 그림이라고 보아야한다. 이것은 비트겐슈타인이 공리를 그림이라고 본 것과 완전히 일치하는 맥락이다. 바론 그런 점에서 괴델문장은 새로운 공리로 도입된 것과 사실은 다름이 없다.

• Journal for History of Mathematics
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• v.21 no.3
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• pp.31-52
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• 2008

The concept of infinity, as with other scientific concepts, has a history of evolution. In the present work we intend to discuss the subject matter with regard to Bolzano since he is considered to be the first to accept the idea of actual infinity not just from a metaphysical perspective but from a mathematical one. Like modem platonists, Bolzano defended the infinite set itself regardless of the construction process; this is based on the principal of comprehension and unicity of denotation regarding all concepts. In addition, instead of considering as paradoxical the fact that a one-to-one correspondence existed between an infinite set and its parts, he regarded it in a positive way as a special characteristic. While the Greek era recognized the existence of only one infinity, Balzano acknowledged the existence of various types of infinity and formulated a logical definition for it. The question of infinity is a touchstone of constructive method which holds an increasingly important role in mathematics. The present study stops with just a brief reference to the subject matter and we will leave further in-depth investigation for later.

• Proceedings of the Korea Contents Association Conference
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• 2005.05a
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• pp.178-182
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• 2005

From the result of analysis to animation, it can be detected the close relation between myth and animation. As Plato mention that myth is a story. Though it is common field for many researchers on myth and animation now, but it have been performing many researches only for animation narrative in the aspect of myth. Therefore this study will be examined that the ritual ceremony, the frequency of participation, and imagination of myth can be related with animation directly. The ritual ceremony is a similar activity to go to theater for watching animation. It can be merged into the unconsciousness state while awaken state. A high frequency of ritual ceremony can also be provide the experience of shortening a distance between the present and the ancient time of mythical aura. Last, imagination is an enemy of rational thoughts, however, it is vital source and material which was created by myth and it can also create new animation. It will be formulated a methodology for this paper which are three elements for an analogizing tool with new mythological approaches, it is inclusive method for animation and myth. So it can be applied and analyzed to other visual media with this methodology.

• Korean Institute of Interior Design Journal
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• v.23 no.1
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• pp.88-95
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• 2014

This study intended arousal of other viewpoints that deal with and understand spaces and shapes, by describing the concept of 'dimensions' into visual patterns. Above all, the core concept of spatial dimensions was defined as 'expandability'. Then, first, the 'golden ratio', 'Fibonacci sequence', and 'fractal theory' were defined as elements of each dimension by stage. Second, a 'unit cell' of one dimension as 'minimum unit particles' was set. Next, Fibonacci sequence was set as an extended concept into two dimensions. Expansion into three dimensions was applied to the concept of 'self-similarity repetition' of 'Fractal'. In 'fractal dimension', the concept of 'regularity of irregularity' was set as a core attribute. Plus, Platonic solids were applied as a background concept of the setting of the 'unit cell' from the viewpoint of 'minimum unit particles'. Third, while 'characteristic patterns' which are shown in the courses of 'expansion' of each dimension were embodied for the visual expression forms of dimensions, expansion forms of dimensions are based on the premise of volume, directional nature, and concept of axes. Expressed shapes of each dimension are shown into visually diverse patterns and unexpected formative aspects, along with the expression of relative blank spaces originated from dualism. On the basis of these results, the 'unit cell' that is set as a concept of theoretical factor can be defined as a minimum factor of a basic algorism caused by other purpose. In here, by applying diverse pattern types, the fact that meaning spaces, shapes, and dimensions can be extracted was suggested.

• The Journal of Korean Philosophical History
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• no.27
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• pp.363-386
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• 2009

This paper's aim is to articulate the educational ideas and methodology of Confucian philosophy in contrast with western classical Philosophy. The ideas and methodology of western classical philosophy is manifested on "the similes of cave" in The Republic of Plato. "The similes of cave" teaches us that 1) philosophy begins with criticism of everyday's consciousness, 2) philosophy is based upon radical philosophical attitude, 3) philosophy request absolute knowledge of the ultimate, 4) philosopher enlightenments the people with absolute knowledge of the ultimate. Confucius said, "at fifteen, I had my mine bent on learning, ⋯⋯ at fifty I knew the decrees of Heaven, ⋯⋯ at seventy, I could follow what my heart desired, without transgressing what was right." This is a typical of philosophical life. Therefore, What the Great Learning as one of confucian Four Books represents, is 1) to illustrate illustrious Virtue, 2) to renovate the people, 3) and to rest in the highest excellence.

• Philosophy of Medicine
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• v.25
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• pp.3-26
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• 2018

Medicine and philosophy were very closely related in antiquity. The Pre-Socratics were interested in physiological and pathological aspects of human body. Their interests of human body was a part of interests on nature. Plato and Aristotle were fond of proposing their philosophical arguments using medical analogy. Medicine and philosophy were regarded as two disciplines which play a similar role in human being. Ancient philosophers thought that medicine and philosophy were similar on the ground that while philosophy eliminates passion from human soul, medicine eliminates disease from human body. Here, they regarded the similarity of medicine and philosophy only in terms of analogy. More comprehensive and systematic relationship between medicine and philosophy is realized by Galen. He manifestly declared that "The Best Doctor is also a Philosopher", which is also the title of one of his treatise. In this treatise, Galen regarded philosophy is a discipline consisted of physics, logic, and ethics according to the view s of Stoics. As a result, a good doctor for Galen is one who is well versed in physics, logic, and ethics. Furthermore, He regarded Hippocrates as the ideal model of a doctor-philosopher.

• Journal of Korean Philosophical Society
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• no.116
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• pp.251-281
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• 2017

The Parmenidean tradition of logos which previous researches fail to fully appreciate has three dimensions of reality-knowledge-discourse. Parmenides is not just an ontologist, as the traditional view emphasizes, but also an epistemologist, as the revisionist view begins to emphasize, and, at the same time, a meta-discourser, as those two established views fail to embrace. In order to reach the third view which fully grasps such a dynamic and integrated feature of Parmenides, we should closely pay attention to the organic interconnectedness of three discourse parts of truth-doxa-proem, especially the significance of proem and meta-discourse. In the Eleatic tradition of discourse, the figure who clearly appreciated and further developed such an authentic feature of Parmenides' discourse is not, as one might easily expect, one of the second-generation Eleatics, but Gorgias who has commonly been positioned at the opposite side of Eleatism. This paper investigates how he actually both innovated and succeeded the Parmenidean tradition of logos; especially, it characterizes his discourse as an antilogy(antilogia) from within the tradition: as a 'devil' advocate' who complemented and completed Parmenidean persuasion by positing the Parmenidean tradition of logos as an arena of a huge intellectual discipline and cultivation, offering himself as a sparring partner to it, and bringing up an antilogy. In the process of this antilogy he performed in his rhetorical speeches such as the Encomium of Helen and the Defense of Palamedes he experimented and examined a possibility of persuasion operating independently from truth, which, however, is not merely sacrificing truth in favor of persuasiveness and probability (to eikos) as Plato criticized mainly focussing on his 'philosophical' writing On not-being. Rather, it was an 'opposition for opposition's sake' and serious play which purported to provide balance and flexibility to contemporary intellectual society which had too much inclined towards truth and knowledge and become stiff and to put weight on the opposite side of mainstream. It is wholly our eranos (i.e. our share of contribution) to summon and examine such sophistic tradition for the sake of the task of our times, not for the sake of Plato's task, that we should build up a healthy culture of discourse where we can share serious play.

• Journal of the Daesoon Academy of Sciences
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• v.39
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• pp.69-97
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• 2021

'Déconstruction' is a system of thought that induces the emergent property that characterizes contemporary philosophy. The tradition of ancient Greek philosophy evolved over and over again, giving rise to the Renaissance and Enlightenment. It seemed to have reached its end under the historical perspective of modernity. However, contemporary philosophy wanted to see more possibilities through the deconstruction of modern philosophy. If modern philosophy dreams of a strange cohabitation between God and man with the humanistic completion of Plato's philosophy, modern philosophy rejects even that through deconstruction. Although Plato's classical metaphysics is a stable system centered around the absolute, it is ultimately based on God and religion. Under that system, human autonomy is only the autonomy bestowed by God. Contemporary philosophy is one of the results of efforts that try to begin philosophy from the original human voice through deconstruction. Instead of epistemology dependent on metaphysics, they wanted to establish epistemology from human existence and realize the best good that would set humans free through deconstruction. As such, it is no mistake to say that deconstruction is also an extension of the modern topic of human freedom. Deconstruction and human freedom act as one body in that the two cannot be separated from each other. Oddly enough, Daesoon Thought, which seems to have religious faith and traditional conservatism as main characteristics, has an emergent property that encompasses modern and contemporary times. The period of Korea, when Kang Jeungsan was active and founded Daesoon Thought, has an important meaning for those who have a keen view of history. Such individuals likely think that they have found a valuable treasure. This is because that period was a time when ideological activities were conducted due to an intense desire to discover the meaning of human freedom and envision a new world without copying the ways of the West. Instead they looked to face internal problems and raise people's awareness through subjectivity. In other words, the subtle ideas created by Korea's self-sustaining liberalism often take the form of what is commonly called new religions in modern times. Among these new religions, Daesoon Thought, as a Chamdonghak (true Eastern Learning), aims to spread a particular modern value beyond modern times through the concept of Haewon (the resolution of grievances) that was proclaimed by Jeungsan. The Haewon espoused in Daesoon Thought is in line with the disbandment of modern philosophy in that it contains modernity beyond modern times. First, Haewon means to resolve the fundamental resentment of human existence, which arose from Danju's grievance. Secondly, Haewon in Daesoon Thought encompasses the Haewon of the Three Realms of Heaven, Earth, and Humanity centers on a Haewon-esque style of existence called Injon (Human Nobility). Haewon in Daesoon Thought can be understood in the same context as Derrida's philosophy of Deconstruction. Modern deconstruction attempts to expose the invisible structures and bonds within human society and attempt to destroy them. In a similar way, Haewon endeavors to resolve the conflicts among the Three Realms by releasing the bonds of fundamental oppression that hinder the Three Realms of Heaven, Earth, and Humanity.

• Cartoon and Animation Studies
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• s.29
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• pp.103-128
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• 2012

Study about existence of illusion which human beings feel from imitated image based reality have been continuing by copy theory and conventionalism for a long time. Traditional copy theory which had controlled representation theory from plato have explained illusion by similarity of image and representation objects. According to copy theory, image is natural sign unlike language but the late in the 20th century, conventionalism from N, Goodman insists they are not any special similarity between image and representation objects. They insist image and conventional sign just as language. These opposit theory rearranged conventionalism by the entrance on the cognitive science. The copy theory couldn't explain the problem of representational gap between reality and duplication, but photo media makes new paradigm about theory of the illusion. The problem of representational gap was disappeared by CGI images on the base of digital media. We are exposed exquisite duplication for a example, movie, advertisement, printings. Sometimes duplications are more real than the original works. Digital is a non-material object by 0 and 1. Specially real lighting skill and mechanism are copied perfectly by photon mapping skills and the duplications are produced more real than the original works. By disappearance of representational gap, we need new theory model for explaining of digital illusion and copy theory can be the key.

• Journal of The Korean Association For Science Education
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• v.34 no.8
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• pp.755-765
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• 2014

The convergence and consilience in education (hereafter, interdisciplinary education) is receiving great attention from societies. This study aims to investigate the works of scientists and artists who have intended to combine science with the arts in the modern era, to take into account the socio-philosophical setbacks during the period, and to suggest pedagogical implications of science education as interdisciplinary education. The concept of interdisciplinary education stems from Plato's thought, idea, as a comprehensive and invariant truth. The renaissance, full of enrichment about scientific achievement, was based on Neo-Platonism pursuing holistic-synthetic approach. During the time, scientists presented in this study tried to find comprehensive principles and borrow useful method from the arts. In such a context, scientists not only made use of the arts for expression of scientific knowledge, but also drew conclusion by analogical reasoning between science and the arts. Artists, as well, relied upon anatomy and optics especially, to elaborate linear perspective and even developed their own scientific knowledge through personal experience. Hence, contemporary science education should encourage students to hold a holistic viewpoint about science and the arts, articulate explicit goals and outcomes as interdisciplinary education, implement meta-disciplinary instruction about science and the arts, and develop assessment framework for collaborative learning. There may be good examples for inter-disciplinary education as listed: illustrating scientific ideas through the arts and vice versa, organizing collaborative works and evaluations criteria for them, and stressing problem solving on a daily basis.