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词汇 Negation sign
分类 英语词汇 英语翻译词典
释义

Negation sign

中文百科

逻辑非 Negation

(重定向自Negation sign)
Technische Notation: Nicht-Gatter

逻辑非是布尔代数中一种一元运算。它的运算结果是将运算元的真值取反。

命题A可以有几种写法:

  • AA上加一横)
  • ~A
  • ¬A
  • NOT A
  • !A

以上可以读做"A不成立"或者"非A"。

¬p的真值表定义如下:

¬p的真值表
p ¬p

~A即在A的条件下,结论不成立。例如,如果A代表命题“今天星期六”,则它的~A代表命题“今天不是星期六或“今天是星期一,二,三,四,五,天

~A为真当且仅当A为假。

英语百科

Negation 逻辑非

(重定向自Negation sign)

In logic, negation, also called logical complement, is an operation that takes a proposition p to another proposition "not p", written ¬p, which is interpreted intuitively as being true when p is false and false when p is true. Negation is thus a unary (single-argument) logical connective. It may be applied as an operation on propositions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes truth to falsity and vice versa. In intuitionistic logic, according to the Brouwer–Heyting–Kolmogorov interpretation, the negation of a proposition p is the proposition whose proofs are the refutations of p.

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