请输入您要查询的字词:

 

单词 Curry’s paradox
释义
Curry’s paradox

Philosophy
  • The paradox is generated by a conditional: (C) If (C) is true, then p, where p is an arbitrarily chosen proposition—say, one which is just plain false. Classically we can now argue: suppose (C) is true. Then, if (C) is true then p. So p, by modus ponens. So, by the rule of conditional proof, we can infer (Q): if (C) is true, then p. That is, we have obtained (C), and hence (C) is true. Now, since we have (C) is true, and we have (Q), we can infer p by modus ponens. That is, we have proved any arbitrary proposition by logic alone. The paradox is sometimes attributed to the mathematicians Kleene and Rosser, and sometimes called Löb’s paradox. It is noteworthy as clearly arising from a vicious self-reference, but not involving negation. See also semantic paradoxes.


随便看

 

科学参考收录了60776条科技类词条,基本涵盖了常见科技类参考文献及英语词汇的翻译,是科学学习和研究的有利工具。

 

Copyright © 2000-2023 Sciref.net All Rights Reserved
京ICP备2021023879号 更新时间:2024/9/29 22:48:55