• Honam Mathematical Journal
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• v.30 no.2
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• pp.311-321
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• 2008

Mathematical paradoxes may arise when computations give unexpected results. We use three paradoxes to illustrate how they work in the basic probability theory. In the process of resolving the paradoxes, we expect that student-teachers can pedagogically gain valuable experience in regards to sharpening their mathematical knowledge and critical reasoning.

• Korean Journal of Logic
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• v.20 no.3
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• pp.367-390
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• 2017

Much of literature on the paradoxes of confirmation has been focused on the problems raised by the fact that a nonblack nonraven confirms the hypothesis that every raven is black. In this paper I would like to emphasize that more interesting problems are still waiting to be explained, if we notice that a black nonraven confirms the raven hypothesis as well. For this I examine what Hempel exactly means by the paradoxes of confirmation, and show that the previous discussions on the paradoxes were at most partial solutions. Then I argue that Hempel presupposes the so-called 'converse consequence condition' regarding confirmational evidence. Finally I discuss what impact is made on the Bayesian solution to the paradoxes, if we accept a more faithful interpretation to Hempel.

• Journal for History of Mathematics
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• v.24 no.4
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• pp.119-141
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• 2011

This paper analysed the mathematical paradoxes which would be based in the probability and statistics. Teachers need to endeavor various data in order to lead student's interest. This paper says mathematical paradoxes in mathematics education makes student have interest and concern when they study mathematics. So, teachers will recognize the need and efficiency of class for using mathematical Paradoxes, students will be promoted to study mathematics by having interest and concern. These study can show the value of paradoxes in the concept of probability and statistics, and illuminate the concept being taught in classroom. Consequently, mathematical paradoxes in mathematics education can be used efficient studying tool.

• Management Science and Financial Engineering
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• v.16 no.2
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• pp.115-138
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• 2010

People acknowledge that mobile technology has improved their lives in terms of convenience, flexibility, connectedness, and new freedom of choice. However, as people increase usage of technology, they may become frustrated, challenged, annoyed, and irritated with it. This is the main characteristic of mobile technology paradoxes. Once technology gets into people's daily life, which it already has, people will look for a way to minimize the dependency on the technology, as well as finding a way to use the technology to improve the quality of their life. The focus of this study is to understand the mobile technology paradoxes and to develop coping strategies. As mobile technology is already a part of people's daily life, it is inevitable that people need to utilize technology as part of their lifestyles. This study developed a research model regarding the relationship between mobile technology perception and choice of coping strategies, including personal risk propensity as a mediating factor. Discussion on the importance of the technology paradoxes for developing mobile solution and services from the customers' perspectives followed after hypotheses testing.

• Communications for Statistical Applications and Methods
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• v.16 no.5
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• pp.753-762
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• 2009

A measure of agreement H in$2{\times}2$ contingency table was proposed by Park and Park (2007) to resolve the two paradoxes of k. In this study, we generalize H to where the number of categories is greater than two and derive its asymptotic large-sample variance. We also explain the relationships between k's paradoxes and marginal distributions. Using some examples of $3{\times}3$ contingency tables, the behaviors of H and other measures of agreement are compared.

• Korean Journal of Logic
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• v.11 no.2
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• pp.127-170
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• 2008

This paper aims to present solutions to three intriguing puzzles on causation that Benardete presents by considering the results of infinite series of telescoping events. The main conceptual tool used in the solutions is the notion of collective causation, what many events cause collectively. It is straightforward to apply the notion to resolve two of the three puzzles. It does not seem as straightforward to apply it to the other puzzle. After some preliminary clarifications of the situation that Benardete describes to present the puzzle, however, we can apply the notion to resolve it as well.

• The Korean Journal of Applied Statistics
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• v.20 no.1
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• pp.117-132
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• 2007

In a $2\times2$ table showing binary agreement between two raters, it is known that Cohen's $\kappa$, a chance-corrected measure of agreement, has two paradoxes. $\kappa$ is substantially sensitive to raters' classification probabilities(marginal probabilities) and does not satisfy conditions as a chance-corrected measure of agreement. However, $\kappa$ and other established measures have a reasonable and similar value when each marginal distribution is close to 0.5. The objectives of this paper are to present a new measure of agreement, H, which resolves paradoxes of $\kappa$ by adjusting unbalanced marginal distributions and to compare the proposed measure with established measures through some examples.

• Korean Journal of Logic
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• v.21 no.1
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• pp.59-96
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• 2018

${\bot}$It is often said that in a purely formal perspective, intuitionistic logic has no obvious advantage to deal with the liar-type paradoxes. In this paper, we will argue that the standard intuitionistic natural deduction systems are vulnerable to the liar-type paradoxes in the sense that the acceptance of the liar-type sentences results in inference to absurdity (${\perp}$). The result shows that the restriction of the Double Negation Elimination (DNE) fails to block the inference to ${\perp}$. It is, however, not the problem of the intuitionistic approaches to the liar-type paradoxes but the lack of expressive power of the standard intuitionistic natural deduction system. We introduce a meta-level negation, ⊬$_s$, for a given system S and a meta-level absurdity, ⋏, to the intuitionistic system. We shall show that in the system, the inference to ${\perp}$ is not given without the assumption that the system is complete. Moreover, we consider the Double Meta-Level Negation Elimination rules (DMNE) which implicitly assume the completeness of the system. Then, the restriction of DMNE can rule out the inference to ${\perp}$.

• Journal of Gifted/Talented Education
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• v.3_4 no.1
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• pp.78-90
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• 1994

• Proceedings of the Korean Society for the Gifted Conference
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• 1994.08b
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• pp.1-13
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• 1994