negation

否定

Foundations & Logic · Undergraduate · Mathematics Resources editorial compilation (AI-assisted)

Translation evidence: Literature usage

Meaning in context

In classical semantics, the connective reversing a statement’s truth value.

在经典语义中把命题的真值反转的联结方式。

Example

¬(3=4)\neg(3=4) is true.

Usage and distinctions

Constructively, ¬P means a derivation of falsity from P, not an automatic decision of P.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

  1. Avigad, Hua, Lewis and van Doorn — Logic and Proof§2.4 The Language of Propositional Logic · Checked 2026-10-14

Translation sources

  1. 高等教育出版社 — 数学证明 通往高等数学的阶梯（第4版）影印版，官方中文目录官方中文目录：§2.2 否定（名称证据，非正文定义证据） · Checked 2026-10-14
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