数学危机




數學危機在歷史上發生過三次，每一次均對數學的發展有重大影響。在第一次數學危機中，因為發現腰長為1的等腰直角三角形的斜邊長度無法寫成有理數，從而引申出日後的無理數概念。第二次數學危機得解決微積分引入無窮小量而產生的問題。第三次數學危機則是因羅素悖論而起，它點出樸素集合論中的缺失。


Ernst Snapper所著The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism,
Mathematics Magazine, Vol. 52 (1979), pp. 207-216這篇得獎論文(美國數學學協會MAA 1980年Carl B. Allendoerfer Award)所列說的三次數學危機則跟上面所講的這三個不完全相同。



參閱



  • 第一次數學危機

  • 第二次數學危機

  • 第三次數學危機

  • 数学基础



外部連結




  • The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism, by Ernst Snapper. 


  • 數裡天地--史上三次數學危機. 


  • 三思科學--数学悖论与三次数学危机三思科學. （原始内容存档于2008-11-21）. 








Comments

Post a Comment

Popular posts from this blog

Information security

Image
This article is part of a series on Information security Related security categories Internet security Cyberwarfare Computer security Mobile security Network security Threats Computer crime Vulnerability Eavesdropping Malware Spyware Ransomware Trojans Viruses Worms Rootkits Bootkits Keyloggers Screen scrapers Exploits Backdoors Logic bombs Payloads Denial of service Defenses Computer access control Application security Antivirus software Secure coding Secure by default Secure by design Secure operating systems Authentication Multi-factor authentication Authorization Data-centric security Encryption Firewall Intrusion detection system Mobile secure gateway Runtime application self-protection (RASP) v t e Information security , sometimes shortened to InfoSec , is the practice of preventing unauthorized access, use, disclosure, disruption, modification, inspection, recording or destruction of information. Th...
Read more

Volkswagen Group MQB platform

Image
The Volkswagen Group MQB platform is the company's strategy for shared modular design construction of its transverse, front-engine, front-wheel-drive layout (optional front-engine, four-wheel-drive layout) automobiles. Volkswagen spent roughly $60bn [1] developing this new platform and the cars employing it. The platform underpins a wide range of cars from the supermini class to the mid size SUV class. MQB allows Volkswagen to assemble any of its cars based on this platform across all of its MQB ready factories. This allows the Volkswagen group flexibility to shift production as needed between its different factories. Beginning in 2012, Volkswagen Group marketed the strategy under the code name MQB , which stands for Modularer Querbaukasten , translating from German to "Modular Transversal Toolkit" or "Modular Transverse Matrix". [2] [3] MQB is one strategy within VW's overall MB (Modularer Baukasten or modular matrix) program which also includes th...
Read more

Daniel Guggenheim

Image
Daniel Guggenheim 1925 photo Born ( 1856-07-09 ) July 9, 1856 Philadelphia, Pennsylvania Died September 28, 1930 (1930-09-28) (aged 74) Port Washington, New York Alma mater Peirce College Known for Battle for control of ASARCO Daniel Guggenheim Medal Spouse(s) Florence Shloss Children Meyer Robert Guggenheim Harry Guggenheim Gladys Eleanor Guggenheim Parent(s) Meyer Guggenheim Barbara Guggenheim Daniel Guggenheim, 1910 Daniel Guggenheim (July 9, 1856 – September 28, 1930) was an American mining magnate and philanthropist, and a son of Meyer and Barbara Guggenheim. Contents 1 Biography 2 Personal life 2.1 Aviation 2.2 Alaska 3 See also 4 References 5 Further reading 6 External links Biography Born and raised in Philadelphia, Daniel Guggenheim was sent to Switzerland as a young man to study the Swiss lace and embroidery business, and to serve as a buyer for his father's import firm. The...
Read more