• Proceedings of the Korean Society for Language and Information Conference
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• 1995.02a
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• pp.139-148
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• 1995

• Journal for History of Mathematics
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• v.22 no.1
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• pp.1-24
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• 2009

In this paper we have inferred the influence of Zeno on the construction of the potential infinite of Aristotle based on arguments of Zeno's paradoxes. When we examine the potential infinite of Aristotle as the basis of the ancient Greek mathematics, we can see that they did not permit the concept of the actual infinite necessary for calculus. The reason Why they recognized the potential infinite, denying the actual infinite as seen in Aristotle's physics could be found in their attempt to escape the illogicality shown in Zeno's arguments. Accordingly, this paper could provided one of reasons why the ancient Greeks had used uneasy exhaustion's method instead of developing the quadrature involving the limit concept.

• Korean Journal of Logic
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• v.17 no.2
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• pp.233-253
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• 2014

The Pinocchio paradox that Eldridge-Smith suggested is a version of the semantic paradox. But it is unique in the sense that this paradox does not contain a semantic predicate. Tarski's solution which appeals to the hierarchy of language and Kripke's para-completeness which accepts the third truth value cannot solve the Pinocchio paradox. This paper argues that Eldridge-Smith's trial to criticize semantical dialetheism is not successful and that the paradox implies the rule of the truth predicate is inconsistent. That is, the proper diagnosis to this paradox is that the Pinocchio principle should be considered to be potentially inconsistent, which suggests that semantic paradoxes such as the liar paradox arise because the rule of the truth-predicate is inconsistent. The Pinocchio paradox teaches us that consistent view of truth cannot be successful to solve the semantic paradoxes and that we should accept the inconsistent view of truth.

• The Korean Journal of Applied Statistics
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• v.22 no.5
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• pp.1073-1084
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• 2009

For ordinal categorical $R{\times}R$ tables, a weighted measure of association, $H_{\omega}$, was proposed and its maximum likelihood estimator and asymptotic variance were drived. We redefined the last paradox of ${\kappa}$ and proved its relation to marginal distributions. We also introduced the new paradox of ${\kappa}$ and summaried the general relationships between ${\kappa}$ and marginal distributions.

• Journal of Educational Research in Mathematics
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• v.18 no.4
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• pp.469-482
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• 2008

This study analysed difficult points on the understanding of infinity when the concept is considered as actual infinity or as potential infinity. And I consider examples that the concept of actual infinity is used in texts of elementary and middle school mathematics. For understanding of modem mathematics, the concept of actual infinity is required necessarily, and the intuition of potential infinity is an epistemological obstacle to get over. Even so, it might be an excessive requirement to make such epistemological rupture from the early school mathematics, since the concept of actual infinity is not intuitive, derives many paradoxes, and cannot offer any proper metaphor.

• The Journal of Art Theory & Practice
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• no.16
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• pp.257-272
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• 2013

This paper analyzes six different ways of articulating the relationship between art and politics. It calls attention to the differences that lurk behind the seemingly simple phrase-everywhere in vogue today-the "politics of aesthetics." Five of these models are drawn from contemporary discussions regarding the politics of art. The last model is the attempt to develop an account of the politics of aesthetics that is faithful to the difficult and ambiguous dimensions of the aesthetic experience that were hinted at by the texts of classical philosophical aesthetics. Most notably, this paper is concerned with the idea that the aesthetic experience can be understood as a form of disinterested contemplation-one that is not reducible to cognitive or moral considerations-and with some of the consequences that this entails. It explores some of the political significance that can be attributed to this idea of disinterested contemplation, arguing that the aesthetic should be understood as a withdrawal from the world's pre-established meanings. Unlike some of the other thinkers discussed in this paper, this author doubts that a single, uniform meaning can be ascribed to the aesthetic experience. I thus argue that we need to approach the aesthetic through the networks of textual significance that have been built up around it. Throughout this paper, I attempt to explain how the efforts to link art and aesthetics to politics simultaneously give rise to ideas about the nature of the human community. In looking at the sixth and final model, what I have called the "anarchical politics of aesthetic ambiguity," I argue that the aesthetic tradition offers a rather unique way of understanding the relationship between the individual and the community. Here, we see that the aesthetic is prone to a number of paradoxes, central among them the one that makes art the bearer of a solipsistic pleasure in which we nevertheless discover our capacity for genuinely communicating with others, outside of cliches and banalities.

• Journal of National Security and Military Science
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• s.5
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• pp.203-239
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• 2007

The current problems with the changing nature of the battlefield of the future point up the serious need for more and better research on the nature of effective military leadership. The purpose of this study was to examine effective leadership traits and behaviors of junior officers in combat situation. During times of peace, leader study battles and imagine themselves in all sorts of combat situations while at the same time, they must cope with numerous challenges and fill a variety of roles that they perceive are not battle related. This illustrates one of the fundamental paradoxes of the peacetime environment. Early studies, showing that combat leadership and noncombat leadership needed different talents, produced some clusters of traits which good combat leader were said to possess. Good combat leaders, for example, were described as possessing courage(e.g., bravery, fearlessness, daring, prowess, gallantry, guts, intrepidity, undaunted courage, fighting spirit, aggressive action), personal integrity(e.g., sincerity, flair, calmness, modesty), adaptability(e.g., flexibility, rapidity in action, speedy decision-making, clarity of thought) and so on. Behaviors found to be important in both combat and noncombat situations bore some relation to role requirements common to both situations. Behaviors important in one situation but not the other could be explained in terms of situational differences in role requirements for effective leadership. In order to achieve this purpose, a number of literature reviews were analysed. These results, though obtained in a somewhat rough and ready fashion, were useful not because they pointed to different leaders in war and in peace, but because they showed leaders the different things that were expected of them in different situations. It was also worth knowing how develop combat leadership. While these findings clearly suggest combat and noncombat differences, they do not necessarily confirm the complete study on effective leadership in combat situation. In conclusion, this study would be useful basis for further improvement on effective combat leadership and some further researches were recommended.

• Korean Journal of Logic
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• v.17 no.1
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• pp.137-181
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• 2014

I will propose the radical indeterminacy for solving the higher-order vagueness' dilemma. The radical indeterminacy means that the indeterminacy of 'a is P' implies the indeterminacy of 'a is a borderline case of P.' I will compose my argument two steps: first I will suggest conditions for overcoming the dilemma by analyzing its structure and second I will offer the radical indeterminacy that satisfies aforementioned conditions. I think the higher-order vagueness' dilemma occurs owing to the misunderstanding about the unclarity or the indeterminacy of borderline cases that is an basic intuition of vagueness. So conditions for solving the dilemma are also criteria of adequacy on the theory of vagueness. Thus I will propose II-rule that satisfies above conditions and the radical indeterminacy as a new understanding about vagueness.

• Journal of Science Education
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• v.38 no.3
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• pp.569-584
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• 2014

The Purpose of this study was an analysis of high school student's understanding level about concepts of special relativity through in-depth interview. The 8 participants were 10th grade students in H high school in Ulsan city, who were interviewed and analyzed in the results of the interview about basic concepts of special relativity using achievement checklist in 6 situations(principle of constancy of light velocity, principle of relativity, relativity of simultaneity, garage paradox, rocket paradox). As results of the checklist, the participants showed high achievement in the content level of simple phenomena and simple concepts related to special relativity. But they showed low achievement in the concept level for fundamental understanding of special relativity. As results of the interview, it was found that the participants decided the order of events depending on their intuition and had a difficulty to apply the coordinate system to real situation, even though they mathematically understood it. In addition, some participants who could not understand the inertial coordinate system explained paradoxes of relativity depending on their intuition and had learner's chaos. Finally, though high school students usually being in formal operational stage, some students had difficulty to draw phenomena of space and time in two dimensional plane.