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Kybernetes
ISSN: 0368-492X
Online from: 1972
Subject Area: Electrical & Electronic Engineering
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Descriptive definitions of potential and actual infinities
| Title: | Descriptive definitions of potential and actual infinities |
|---|---|
| Author(s): | Wujia Zhu, (Department of Computer Science, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China), Yi Lin, (College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania, USA), Ningsheng Gong, (College of Information Science, Nanjing University of Technology, Nanjing, People's Republic of China), Guoping Du, (Institute of Modern Logic and Applications, Nanjing University, Nanjing, People's Republic of China) |
| Citation: | Wujia Zhu, Yi Lin, Ningsheng Gong, Guoping Du, (2008) "Descriptive definitions of potential and actual infinities", Kybernetes, Vol. 37 Iss: 3/4, pp.424 - 432 |
| Keywords: | Critical thinking, Cybernetics, Set theory |
| Article type: | Research paper |
| DOI: | 10.1108/03684920810863372 (Permanent URL) |
| Publisher: | Emerald Group Publishing Limited |
| Abstract: | Purpose – The paper's purpose is to analyze the concepts of potential and actual infinities. Design/methodology/approach – The exploration and research on potential and actual infinities generally touch on many disciplines, such as philosophy, logic, computer science, mathematics, etc. From the angle of a brief history, recall and development, the authors analyze the concepts of potential and actual infinities on one starting point and two locations to cut in. Findings – Clarify the difference and connection of these two infinities on the level of mathematics and introduce the symbolized, descriptive definitions for potential and actual infinities. Originality/value – It is the first time that the difference between the concepts of potential and actual infinities are clarified, which leads to the discovery of the fourth crisis in the foundations of mathematics. |
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