• Title/Summary/Keyword: 유형론

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Propositions and Judgments in the Intuitionistic Type Theory (직관주의적 유형론에서의 명제와 판단)

  • Chung, In-Kyo
    • Korean Journal of Logic
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    • v.14 no.2
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    • pp.39-76
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    • 2011
  • We explain some basic elements of Martin-L$\ddot{o}$f's type theory and examine the distinction between propositions and judgments. In section 1, we introduce the problem. In section 2, we explain the concept of proposition in the intuitionistic type theory as a development of the intuitionistic conception of proposition. In section 3, we explain the concept of judgment in the intuitionistic type theory. In section 4, we explain some basic inference rules and examine a particular derivation in the theory. In section 5, we examine one route from the Fregean distinction between propositions and judgments to the distinction between them in the intuitionistic type theory, paying attention to the alleged necessity for introducing different forms of judgments.

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집합론의 무모순성

  • 여운도;황동주
    • Journal for History of Mathematics
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    • v.9 no.2
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    • pp.30-42
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    • 1996
  • 최근 <수학기초론>이란 용어는 Burali-Forti paradox 이후 족(class)과 집합(set) 개념을 이해하려는 시도에서 출발한 20세기적 문제에 적용되고 있다. 이 글에서는 그 해결책으로 제시된 주의ㆍ주장 중 논리적인 모순을 해결하기 위한 Russel의 논리주의적 공리론에 바탕을 두고 살펴보려고 한다. 제 2장에서는 무한의 심연 속에 웅크리고 있는 집합론에서의 역설과 발생 원인에 대하여 살펴보았다. 제 3장에서는 공리론적 집합론 중에서 러셀의 유형론과 그것을 단순화시킨 현대의 유형론을 살펴보고, ZF 집합론과 ZF 집합론의 연장인 처치 집합론의 기본 공리를 살펴보았다.

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The Notion of Truth in Intuitionistic Type Theory (직관주의적 유형론에서의 진리개념)

  • Chung, Inkyo
    • Korean Journal of Logic
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    • v.16 no.3
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    • pp.407-436
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    • 2013
  • I examine the notion of truth in the intuitionistic type theory and provide a better explanation of the objective intuitionistic conception of mathematical truth than that of Dag Prawitz. After a brief explanation of the distinction among proposition, type and judgement in comparison with Frege's theory of judgement, I examine the judgements of the form 'A true' in the intuitionistic type theory and explain how the determinacy of the existence of proofs can be understood intuitionistically. I also examine how the existential judgements of the form 'Pf(A) exists' should be understood. In particular, I diagnose the reason why such existential judgements do not have propositional contents. I criticize an understanding of the existential judgements as elliptical judgements. I argue that, at least in two respects, the notion of truth explained in this paper is a more advanced version of the objective intuitionistic conception of mathematical truth than that provided by Prawitz. I briefly consider a subjectivist's objection to the conception of truth explained in this paper and provide an answer to it.

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On Induction Principles in Frege's Grundgesetze and in Systems Thereafter (프레게의 Grundgesetze 와 그 이후의 시스템에서의 귀납법 고찰)

  • Lee, Gyesik
    • Korean Journal of Logic
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    • v.19 no.1
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    • pp.83-106
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    • 2016
  • We compare the approaches to natural numbers and the induction principles in Frege's Grundgesetze and in systems thereafter. We start with an illustration of Frege's approach and then explain the use of induction principles in Zermelo-Fraenkel set theory and in modern type theories such as Calculus of Inductive Constructions. A comparison among the different approaches to induction principles is also given by analyzing them in respect of predicativity and impredicativity.

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Character Analysis Method based on the Value Type of the Human (인간 가치 유형에 기반한 캐릭터 분석 방법론 제안)

  • Song, Minho
    • The Journal of the Korea Contents Association
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    • v.17 no.9
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    • pp.650-660
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    • 2017
  • This study is to suggest a new method of analyzing personality types of characters in narrative. First, we examined the history of the taxonomy of character types that existed in narrative theories so far. Until now, the classification of character types in narrative theory consisted largely of a formal classification based on roles in narrative, a content classification based on human internal qualities, and a complementary classification in which the two classification criteria are united. The problem with the existing character classification type is difficult to categorize it in spite of the usefulness of the content classification based on human internal qualities. On the other hand, the classification based on the role of the character in the narrative does not help as much as a practical analysis methodology because the classification is formal. In this study, we try to solve this problem by introducing Shalom Schwartz's human value type, and to make human character's value type and human role correlated with each other as a new character analysis methodology. Schwartz's study of value type is a very effective method to grasp the motivation of human behavior, and it seems to be very meaningful in analyzing the directivity of characters.

Study on the Cognition Types of College University Attribute : A Q-Methodological Approach (전문대학 속성 인식 유형 연구 : Q-방법론을 중심으로)

  • Choi, seok-hyun
    • Proceedings of the Korea Contents Association Conference
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    • 2011.05a
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    • pp.431-432
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    • 2011
  • 본 연구는 고등교육기관으로서 국가의 발전과 산업인재양성에 중요한 역할을 수행하고 있는 전문대학의 속성 유형을 Q-방법론을 적용하여 조사 분석하여 전문대학에 대학 인식유형을 분류하고 유형간 차이를 분석하고자 한다.

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A Construction of Multilingual Linguistic Translation Knowledge based on the Language Typology (언어 유형론에 기반한 다국어 공용 번역지식의 구축)

  • Choi, Sung-Kwon;Kim, Tae-Wan;Park, Dong-In
    • Annual Conference on Human and Language Technology
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    • 1997.10a
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    • pp.243-248
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    • 1997
  • 본 논문은 다국어 자동번역시스템에서 다국어의 번역지식(사전,규칙,정보)구축을 위해 언어유형론을 도입하는 방법론을 제안한다. 다국어 번역지식의 구축과 관련하여 기존 다국어 자동번역 시스템들에서 항상 문제가 되고 있는 것은 번역지식의 구축, 관리, 재활용의 문제이다. 번역지식의 구축은 다국어를 위한 번역지식의 크기, 다국어의 수용정도와 관련되며, 번역지식의 관리는 번역지식의 단순화 정도와 관련되며, 번역지식의 재활용은 기존에 구축된 번역지식을 새로운 언어들에 재사용 정도와 관련된다. 이러한 문제점들을 해결하기 위해 본 논문에서는 한국어를 포함한 다국어의 언어 친족성에 따라 번역지식을 공유하도록 하는 언어유형론에 기반한 다국어 공용 번역지식 구축 방법론을 제안하고자 한다.

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Scientific Study of Subjectivity on Recognition Types and Preferences of Animation Audiences (애니메이션 수용자의 인식유형과 취향에 관한 주관성연구)

  • Hyun, Seung-Hoon
    • Cartoon and Animation Studies
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    • s.26
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    • pp.31-56
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    • 2012
  • This is a scientific study of subjectivity on recognition types and preferences of animation audience. Therefore, Q-methodology was used as a methodology of this study. As a result, it was possible to find the various characteristics according to the preferences of audience on animation genres. The features of each type were classified into 3 types. First was an artistic and literary value-oriented type that explored storytelling and descriptive value. Second was a pictorial and aesthetic value-oriented type that explored visual beauty such as characters and Mise en scene. Third was a visual and entertainment value-oriented type that explored entertainment factors and attractions. Thus, according to the classification of preference types, it was inferred that digital image generation audience with an active preference that can create and consume images have developed a tendency that independently consumed their preferences based on thoroughly personal or subjective preferences rather than classified and accepted their preferred culture as their symbolic expressions of hierarchical position. In this aspect, Q-methodological consideration that is useful to analyze the subjectivity of audience could be a significant work. Nevertheless, this study alone could not reveal various generative contexts of specific preferences. It seems to have more significant results by applying various qualitative or quantitative methodologies together with this study and analyzing recognition types and preferences of audience.

Analytical Study for Typology of Signage Market : by applying Q methodology (사이니지 시장유형화를 위한 해석적 연구 : Q 방법론 적용)

  • Kim, Hang Sub;Lee, Bong Gyou
    • Journal of Internet Computing and Services
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    • v.17 no.2
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    • pp.67-76
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    • 2016
  • Defining of signage market types is an issue of great interest for both service providers and consumers. Through an interview with an expert with a deep understanding about digital signage in early-media stage, and based on analysis results, this study induced three types of signage market types. Each signage market type can be explained by their similar thoughts, opinions, concepts, and behaviors, but are dependent on the differences in a user experiences and knowledge. The study named the interactive signage market as Type 1, the network signage market as Type 2, and the signage-coupled-with-other-media market as Type 3.