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Update on 2024-08-27 from miRoox-m4F2aE
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created: 20240827053541146 | ||
creator: miRoox | ||
modified: 20240827053821712 | ||
modifier: miRoox | ||
tags: TODO | ||
title: 命题 | ||
tmap.id: 54634f1c-2b23-4e8f-ae82-ff7cdafddd08 | ||
type: text/vnd.tiddlywiki | ||
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''命题''(proposition)是一个陈述句所表达的判断,具有真值,即不是真的就是假的。 | ||
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由其他命题推出命题(前提推出结论)的过程,叫做推论;而这些作为前提和结论的命题的集合,叫做论证。[[命题逻辑]]主要处理命题及其之间的逻辑关系。 |
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created: 20240827035520871 | ||
creator: miRoox | ||
modified: 20240827035549477 | ||
modifier: miRoox | ||
tags: 逻辑 TODO 数理逻辑 | ||
title: 命题逻辑 | ||
tmap.id: bf0de994-ad52-4ade-86aa-8037f0ce6311 | ||
type: text/vnd.tiddlywiki |
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created: 20240622143537808 | ||
creator: miRoox | ||
modified: 20240826142704266 | ||
modified: 20240827034332327 | ||
modifier: miRoox | ||
tags: 策梅洛-弗兰克尔集合论 公理 公理模式 | ||
title: 替代公理模式 | ||
tmap.id: fa83f121-7891-461b-803a-448d6fd2e1b4 | ||
type: text/vnd.tiddlywiki | ||
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''替代公理模式''(axiom schema of replacement)本质上断言一个[[集合]]在一个[[映射]](泛函谓词)下的[[像]]也是一个集合。 | ||
''替代公理模式''(axiom schema of replacement)本质上断言一个[[集合]]在一个[[映射]]([[泛函谓词]])下的[[像]]也是一个集合。 | ||
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$$ | ||
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$$ |
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created: 20240827035134648 | ||
creator: miRoox | ||
modified: 20240827035417291 | ||
modifier: miRoox | ||
tags: 逻辑 TODO 数理逻辑 计算机科学 | ||
title: 类型论 | ||
tmap.id: 9e299042-9f42-41e7-88ad-52ae4b08ca50 | ||
type: text/vnd.tiddlywiki | ||
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''类型论''是研究不同[[类型系统]]及其表达形式的学科。某些类型系统适合用作数学基础,取代数学家一般使用的[[集合论]]。 | ||
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类型论的核心概念是,每一条合乎语法规则的表达式(或称“项”)都有其所属的[[类型]]。通过结合多个基础类型,可以定义更加复杂的类型。 |
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aliases: 一阶逻辑 | ||
created: 20240621142210643 | ||
creator: miRoox | ||
modified: 20240621142404921 | ||
modified: 20240827035612524 | ||
modifier: miRoox | ||
tags: 数理逻辑 逻辑 | ||
title: 谓词逻辑 | ||
tmap.id: 50f23998-37f7-4df5-861e-d68356dd020c | ||
type: text/vnd.tiddlywiki | ||
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即[[一阶逻辑]]。 | ||
即一阶逻辑。 |