集合.論理의 圖式表示에 對한 考察 (I) : Especilly on the Differences between Venn Diagrams and Euler Diagrams Euler 流圖式과 Venn 流圖式의 相違點을 中心으로 = A Study on the Diagrammatic Representations of Set and Logic

다국어 초록 (Multilingual Abstract)

It has been regarded that Diagrammatic Representations like Euler Diagram and Venn Diagram were useful methods for instructing in the sets and logic. But, recent days, there are many cases which are not inadquate use for them on the spot.
Therefore, in this paper, I raised a question in argument to make clear sevral points of difference between Euler Diagram and Venn Diagram and inquired into how to use these diagrams effectively.
① Diagrams typed Euler's put to use the inclusive relation of cycle and diagrams typed Venn's make choice of the method recording many piece of informations in them.
② Diagrams typed Venn's play one important role in the verification of the basis principles on operations with sets. But, will it be a mathematical proof ?
③ Diagrams typed Venn's is more acceptable for the diagrammatic representation of a truth set.
④ We can prove the proof about the propriety of deduction by either diagram. But, useing the truth table is more convenient.
⑤ While diagrams typed Euler's have the adventage of an intuitive aspect, on the contrary, diagrams typed Venn's have the nature of regulation.

목차 (Table of Contents)

• I. 序言
• II. Euler圖式과 Venn圖式에 대하여
• 1. Euler圖式
• 2. Venn圖式
• 3. 兩圖式의 相違點
• Ⅲ. 兩圖式의 利用方法과 差異點
• 1. 集合의 包含關係 및 集合演算의 圖式表示
• 2 集合演算의 基本法則의 檢證
• 3. 眞理集合의 圖式表示
• 4. 推論의 妥當性의 檢證
• 5. 定言三段論法의 妥當性 檢證
• 6. 命題의 圖式表示와 集合의 圖式表示
• IV. 結論
• 參考文獻