무한에 대한 인식이 수학에 미치는 영향
Effect of Infinity Perception on Mathematics
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Even though Sanhak has a long history, it has disappeared from the stage of modern mathematics. What happened to Sanhak? This article tries to answer the question. In fact, the authors argue that the oriental perception toward to infinity has played an important role in such situation. The authors claim that actual infinity and virtual infinity have resulted in quite different types of mathematics, respectively.
Abstract
Even though Sanhak has a long history, it has disappeared from the stage of modern mathematics. What happened to Sanhak? This article tries to answer the question. In fact, the authors argue that the oriental perception toward to infinity has played an important role in such situation. The authors claim that actual infinity and virtual infinity have resulted in quite different types of mathematics, respectively.
참고문헌 (8)
- 김용운, "중국수학사" (1996), 민음사
- 김용운, "한국수학사" (2009), 살림 MATH
- 김진근, "역학계몽" (2008), 청계
- 김진근, "개인적 대화" (2009)
- 성백효, "현토완역 논어집주" (2008), (사)전통문화연구회
- 신현용, "집합론" (2009), 교우사
- 신현용, "수학판타지", 한국수학교육학회 뉴스레터, 125 (2010), 한국수학교육학회
- Greenberg M. J., "Euclidean and Non-Euclidean Geometries" (1974), W. H. Freeman and Company