• Title/Summary/Keyword: 내포와 외연

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Extent and Intent Lattice on Formal Concept (형식개념의 외연과 내포격자)

  • Yon, yong-ho
    • Proceedings of the Korea Contents Association Conference
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    • 2019.05a
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    • pp.387-388
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    • 2019
  • 형식개념(Formal Concept)은 외연(extent)과 내포(intent)를 이용하여 어떤 대상에 대한 정의를 내리거나, 그 대상들을 분류하여 군집화하기 위한 논리적 도구로 사용되어왔다. 여기에서 외연이란 객체(Object)들의 집합이고, 내포는 그 객체들이 지니고 있는 속성(Attribute)들의 집합이다. 이러한 형식개념은 어떤 문제에 나타나는 다양한 데이터로부터 객체와 속성들을 추출하고 이로부터 개념(Concept)들의 계층구조(hierarchy)를 형성하여 데이터를 분석하는데 적용될 수 있다. 본 논문에서는 형식개념의 정의와 성질을 소개하고, 이를 일반화한 완비격자에서의 형식개념을 정의한다. 또한 이 형식개념에서의 외연과 내포격자에 대한 성질을 알아본다.

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포트로얄 논리학에 있어서의 계사의 기능

  • Song, Ha-Seok
    • Korean Journal of Logic
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    • v.5 no.1
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    • pp.27-44
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    • 2001
  • 아리스토텔레스 이후부터 프레게와 럿셀의 현대논리학이 등장하기 전까지 가장 중요한 논리학의 저서는 "포트로얄 논리학"이라고 알려진 "논리학 혹은 사유의 기술" 이다. 이 저서는 아리스토텔레스와 중세의 고전논리학적 요소와 프레게의 현대논리학적 요소를 동시에 지니고 있어 고전논리학과 현대논리학의 가교 역할을 하고 있다고 할 수 있다. 이 논문의 목적은 포트로얄 논리학에 나타난 서술문의 계사에 대한 설명과 그에 대한 대립되는 해석들을 살펴보고 포토로얄 논리학전체 체계에 비추어 볼 때 어떠한 해석이 보다 설득력있는 해석인가를 검토해 봄으로써 포트로얄 논리학이 지닌 고전적 요소와 현대적 요소를 대비해 보는 것이다. 즉 포트로얄 논리학의 서술문의 계사에 대한 설명을 통해서 그 저서의 한계와 의미를 알아보고, 논리학사에서 그 저서의 정당한 가치를 평가하는 것이 이 논문의 목적이다. 서술문의 계사에 대한 포트로얄 논리학의 설명은 계사는 주어와 술어 사이의 동일성 기호라는 고전적인 해석을 가능하게 하는 여지를 가지고 있는 것은 분명하다. 동시에 서술문의 계사는 술어의 속성들의 집합(comprehension)에 속한 성질들을 주어의 외연(extension)에 적용시키는 역할을 한다고 주장함으로써 프레게의 개념과 대상에 대한 설명과 유사함도 보이고 있다. 필자는 포트로얄 논리학의 계사에 대한 설명을 주어와 술어의 동일성 기호로 해석하는 최근의 빠리앙뜨의 주장(1978)을 비판적으로 살펴보고, 포트로얄 논리학의 계사에 대한 설명을 보다 정확하게 이해하는 것은 술어의 속성과 주어의 외연 사이의 서술적 기능이라고 보는 것이라고 주장한다. 계사를 동일성 기호로 해석하는 것은 첫째 포트로얄 논리학 전체를 살펴볼 때 빈약한 문헌적 증거밖에 갖지 못하고, 둘째 논리학과 의미론에서 포트로얄 논리학의 가장 중요한 기여라고 평가되는 속성집합과 외연의 구별에 대한 오해를 포함하고 있으며, 마지막으로 이러한 해석은 같은 술어도 주어가 달라짐에 따라 다른 의미를 갖는다는 주장을 포함함으로써 반직관적이다. 반면에 계사를 서술적 기능을 하는 것으로 해석하는 것은 포트로얄 논리학의 외연과 내포 사이의 구별에 대한 보다 정확한 이해에 근거한 것이고 종속절을 갖고 있는 명제에 대한 포트로얄 논리학의 분석에 의해서도 뒷받침됨을 보인다. 그러나 포트로얄 논리학은 주어의 외연이 공집합인 명제에 대한 분석에서 여전히 고전논리학적인 설명을 고수한다. 즉 그러한 면제에 대해 주어의 외연이 존재한다고 가정하는 존재적 관점의 해석만 허락함으로써 전칭명제를 조건적으로 해석하고$[({\forall}x)(Sx{\rightarrow}Px)]$, 특칭명제를 연언적으로 해석함으로써$[({\exists}x)(Sx&Px)]$, 그 문제를 해결하는 현대논리학과는 구별된다. 즉 포트로얄 논리학은 서술문의 계사를 동일성 기호가 아니라 주어와 술어의 외연과 내포사이의 서술적 기능으로 설명한다는 점에서 고전적인 견해와 구별되지만, 여전히 존재적 관점에서 모든 명제를 해석한다는 점에서 고전적이다. 이것이 바로 포트로얄 논리학의 평가를 위해서 주목해야 할 그 논리학의 가치이며 한계인 것이다.

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Criticism of Landscape Urbanism - Focused on Internal Structures of the Discourse - (랜드스케이프 어바니즘의 비판적 견해에 대한 고찰 - 담론의 내재적 체계를 중심으로 -)

  • Kim, Youngmin
    • Journal of the Korean Institute of Landscape Architecture
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    • v.43 no.2
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    • pp.87-104
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    • 2015
  • As the influence of Landscape Urbanism has grown, various criticisms on the discourse also have increased. A study on critical opinions of Landscape Urbanism is necessary to fully comprehend the theoretical structure of the discourse and its limitations. This study introduced the concept of Intension and Extension, which is used in the field of Logics and Semiotic, as an analytical tool to interpret various criticisms based on different views in a more objective and synthetic way. After examining the development of criticisms of Landscape Urbanism, 30 texts with important critiques on the theory were selected and analyzed. Criticisms can be classified as internal criticism and external criticism according to specific topics they are engaged with. The study only covers internal criticism as a research scope. The internal criticisms on Landscape Urbanism are re-categorized into topics of theory, practice and the relation between theory and practice. Vagueness of concepts and error in concepts are two types criticism related to the issue of theory. Lexical Ambiguity and Intensional Vagueness are the main causes of conceptual vagueness in Landscape Urbanism. Conceptual vagueness related with the problem of redefining an existing concept through expanding its meaning reveals a structural dilemma. There are three types of criticism included in the topic of practice: absence of practical results, form-oriented practice, and ambiguous identity in practical results. Ambiguous identity is caused by Extensional Vagueness allowing borderline cases. Because these borderline cases overlap with extensions of landscape architecture, it is hard to differentiate projects of Landscape Urbanism and those of conventional landscape architecture. Most criticisms on the relation between theory and practice raise the question on the practical method. Two types of criticism are engaged with the topic of the practical method: errors in practical methods and absence of practical methods. The absence of practical methods is a fundamental problem of Landscape Urbanism which is hard to solve by the proposed solutions. However, these structural problems are not only the weak point but also the factor that is able to prove the potentials expand the scope of Landscape Urbanism. In addition to the results of the study, internal criticisms on Landscape Urbanism should be examined in the following studies in order to predict the next direction of Landscape Urbanism.

Study on the Meaning of 'Side' in Geometry and Methods of its Introduction in Mathematics Textbook (도형영역에서의 '변(邊)'의 의미 및 도입방법에 대한 고찰)

  • Kim, Soomi
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.3
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    • pp.441-457
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    • 2014
  • This study starts with the idea that Korean mathematical word 'byon' which means 'side' of polygons or angles is very ambiguous. The purpose of this study is to make the concept and range of 'byon' clear and to suggest the ideas which can help children understand the concept of 'byon'. For this, various dictionary and the past Korean mathematics curriculums are reviewed. As a result, two attributes 'byon' has are identified and some reasons which block children from understanding 'byon' are detected in its introduction method of mathematics text books and inkhorn of the mathematical term. Finally, two different ideas for helping children understand the concept 'byon' are suggested based on the conclusion of this research.

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An Extended Evaluation Algorithm in Parallel Deductive Database (병렬 연역 데이타베이스에서 확장된 평가 알고리즘)

  • Jo, U-Hyeon;Kim, Hang-Jun
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.7
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    • pp.1680-1686
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    • 1996
  • The deterministic update method of intensional predicates in a parallel deductive database that deductive database is distributed in a parallel computer architecture in needed. Using updated data from the deterministic update method, a strategy for parallel evaluation of intensional predicates is required. The paper is concerned with an approach to updating parallel deductive database in which very insertion or deletion can be performed in a deterministic way, and an extended parallel semi-naive evaluation algorithm in a parallel computer architecture. After presenting an approach to updating intensional predicates and strategy for parallel evaluation, its implementation is discussed. A parallel deductive database consists of the set of facts being the extensional database and the set of rules being the intensional database. We assume that these sets are distributed in each processor, research how to update intensional predicates and evaluate using the update method. The parallel architecture for the deductive database consists of a set of processors and a message passing network to interconnect these processors.

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On the Concepts and Translations of Terms Related to "Meaning" in Semantics (의미론에서 "의미"와 관련된 용어들의 개념과 번역어)

  • Kang, Beom-Mo
    • Language and Information
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    • v.15 no.1
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    • pp.79-92
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    • 2011
  • Some terms related to "meaning" in semantics are reviewed, particularly those used in Lyons' famous semantics book Semantics 1 and Semantics 2 (Cambridge University Press, 1977). Since Lyons' book is so comprehensive that the semantic terms used in that book cover almost every important notions/terms used in contemporary semantics. With relevant interpretation of the terms, we suggest most appropriate Korean translations, trying to give different translations for different English terms. Terms covered include: 'signify, signification; reference/refer/referent, sense; denotation/denote, connotation/connote; extension, intension; implication/imply, implicature/implicate, entailment/entail; designate, demonstrate/demonstrative'.

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Industrial restructuring and uneven regional development in the 1980s (산업구조조정과 지역불균등발전 : 1980년대)

  • ;Choi, Byung-Doo
    • Journal of the Korean Geographical Society
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    • v.29 no.2
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    • pp.137-165
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    • 1994
  • Structural adjustment of industry (or industrial restructuring) seems to be inherent in the process of capitalist economic development, which tends to be proceeded with shifts from one stage to another in order to overcome structural crises generated in each stage. The structural adjustment of industry is necessarily accompanied with regional restructuring, since it is not only projected on spece, but also mediated by space. Such a restructuring necessitates industrial and uneven regional devlopment through which capital can seek excessive profits over the rate of socio-spatial average. The industrial restructuring and uneven regional development in the 1980s in Korea can be seen as a process in which capital attempted with a strong support of the govenment to overcome the crises in the end of 1970s and hence to go on rapid economic growth. In this process, capital, especially monopoly capital concentrated into few conglomerates, pursued both extensive expansion and intensive development of industry simultaneously. In results, the Korean economy could eliminate some of peripheral characters and maturate the Fordist accumulation system. The extensive expansion of the Korean industry in the 1980s was stimulated mainly through the enlargement and adjustment of investment for equipment facilities which was planned to exclude or rationalize traditional light industries on some places, and to continue rapid growth of key heavy-chemical industries, especially of fabricated metal industry, on other places. In this process, keeping mainly the existing developmental axis which polarized the Seoul Metroplitan region and the Southeast region in Korea, the enhancing spatial mobiiity of capital and the further differentiating division of labour enforced a tendency of concentration of all types of industry in the Seoul Metropolitan region, and at the same time provoked the diffusion of some industries over Jeolla and Chungchong regions in a considerable extent. The intensive development of industriai structure in the 1980s was pursued through the strategic encouragement of subcontracting small firms mainly which produced assembling components, the technical enhancement and factory (semi-) automation, and the enrichment of service industries for estate management, finance, distribution and retailing which supported and complemented the production of goods. In this process, enabling capital to extend and elaborate its domination over space through the reorganization of regulating systems, the Fordist division of labour generated a socio-spatial hierarchy in the nation-wide scale that characterized: the Seoul Metropolitan region as an overmaturated (or overarching) Fordist region performing the conceptive functions of management, research and development, in which all types of industry (including service industries) tended to be reconcentrated; Kyungsang region as a maturated Fordist region with excutive branches of large conglomerates and with subcontracting firms around them which produced standardized products through the automized production processes in secialized Fordist industries or rationalized traditional industries; and Jeolla and Chungchong regions as newly devloping Fordist regions with newly migrated branches and some subcontracting small firms-in relatively older Fordist industries or partly rationalized traditional industries. From these analyses, it can be argued that the structural adjustment of the Korean industry in the 1980s, which had carried out both through the extensive expansion and the intensive deveiopment, strengthened further uneven regional development process, even though it appears to have reduced apparently the economic and regional disparity by balancing numerically large and small firms and by extending the Fordist industrial space nation-wideiy. And it seems more persuasive to see that the Korean industrial structure in the 1980s maturated the Fordist system of accumulation, but not yet transformed towards the post-Fordist (or the so-called flexible) accumulation system, even though the Korean economy in the 1990s seems to be under a pressure of restructuring towards the latter system.

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An Efficient Evaluation of Proof-theoretic meaning for Normalized Recursive Rules using Shared-nothing Parallel Architecture (비공유 병렬구조를 이용한 정규화된 재귀규칙에 대한 증명-이론적 의미의 효율적 계산)

  • Cho, Woo-Hyun;Lee, Jong-Hee
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.11
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    • pp.2981-2988
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    • 1999
  • A deductive database consists of facts being the extensional database and rules being the intensional database. Because of the difficulty of evaluating rules, many parallel evaluation algorithms for rules have been presented. But we have not gotten an acceptable result. This paper proposes a new methodology to evaluate proof-theoretic meaning of the linear recursion rule which contains transitive dependency by using a shared-nothing parallel architecture. As first, we prove that there exists the equivalent expression for a linear recursion rule, design the algorithm for evaluating the linear recursion rule based on the equivalent expression, and finally analyse performance of the proposed algorithm.

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A Study on the Definition of Prism Presented in Elementary School Mathematics Textbooks (초등학교 수학 교과서 변천에 따른 각기둥의 정의에 관한 고찰)

  • Cho, Youngmi
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.1-17
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    • 2022
  • It summarized and analyzed how the definitions of prism, which is the main mathematics education contents of the upper grades of elementary school, have changed from the teaching period to the 2015 revised curriculum. To this end, the definition method was divided into three methods, and how each method was used in each curriculum was examined. Through this, it was confirmed that the definitions of prism were quite different for each curriculum period. In addition, the implications for the definition of each prism were compressed and presented. It will be an opportunity for the textbook author to think about what is a more meaningful definition method of prism.

Usages and Religious Takes on the Concept of Haewon (해원 개념의 용례와 종교적 전환)

  • Ko, Byoung-chul
    • Journal of the Daesoon Academy of Sciences
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    • v.39
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    • pp.1-32
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    • 2021
  • The purpose of this article is to explain the conceptual changes that the notion of Haewon (解冤) has undergone by examining the evolution of the usages of Haewon. In order to achieve this purpose, I reviewed the conceptual connotations and denotations of Haewon contained in data from the Joseon Dynasty (Section 2), the Japanese colonial period (Section 3), and the scriptures and major preceding research of Daesoon Jinrihoe (Section 4). The research results described in this article are as follows. First, Haewon is a term with historical, social, and cultural characteristics. This means that Haewon, a term that has been used since the Joseon Dynasty, was a concept used to solve collective problems but could also be applied on the individual level. This further means that, if culture is regarded as a collective consciousness or as a collection of material products, Haewon would be a term that contained social and cultural aspirations. Second, Haewon is not a concept that has been impervious to innovation throughout its history. This can be confirmed by the fact that Haewon's scope of application has changed depending on the problem domain (legal, natural disasters, an institutional domain, etc.). Third, Haewon has converted into religious language a doctrinal system that came about after the emergence of Jeungsan. This means that previously the concept of Haewon was mainly used at the legal level in the Joseon Dynasty, but after the emergence of Jeungsan, it became a term in religious language and in doctrine. The materials of Daesoon Jinrihoe show that this concept of Haewon was expanded to be included at the doctrinal level. These research results show a historical shift in the ideological thought contained in the concept of Haewon. As a term in religious language that is included in a doctrinal system, Haewon has an extension of denotations that is applied to the world beyond individuals and societies, yet it maintains connotations of resolving grievances. This concept of Haewon mediates the transformation of the world and creates a rationale by which training and ethical practice are necessary components of that process of transformation.