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道义逻辑

道义逻辑(英文：Deontic logic)是一种非标准的模态逻辑， 属于哲学逻辑的领域, 涉及“应该”、“可以”或 “许可”、“禁止” 这样一些道义概念。

符号化

应该（obligate）p：Op

允许（permit）p：Pp

禁止（forbid）p：Fp

应该...不...（obligate...not...）非p：O¬p

允许...不...（permit...not...）非p：P¬p

禁止...不...（forbid...not...）非p：F¬p

基本公式

“不应当不A”等值于“许可A”； ¬O¬A↔PA

“不许可不A”等值于“应当A”； ¬P¬A↔OA

“应当A”等值于“禁止不A”；OA↔F¬A

“禁止A”等值于“应当不A”。 FA↔O¬A

资料参考

《逻辑学》（第二版）人民大学出版社

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道义逻辑
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