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非经典逻辑

Non-classical Logic
课程网址: http://videolectures.net/ssll09_mares_ncl/  
主讲教师: Edwin Mares
开课单位: 惠灵顿维多利亚大学
开课时间: 2009-04-01
课程语种: 英语
中文简介:
非古典逻辑用于表征古典逻辑难以解决的现象或代表推理的其他观点。例如,相关逻辑拒绝了经典逻辑的规则,该规则允许我们向已经有效的推理添加新前提,以产生另一个有效的推理。顾名思义,相关逻辑要求有效论证的所有前提实际上都与结论的推导有关。相反,较弱形式的相关逻辑-线性逻辑-不能代表有效推论的另一种观点,而是描述与经典(或相关逻辑)不同的实体之间的关系。传统上,逻辑被认为代表命题之间的关系,而线性逻辑则代表资源与动作之间的关系。产生的逻辑与传统逻辑完全不同,有趣的是与我们将要研究的其他逻辑(例如相关逻辑)相关。我们还将研究线性逻辑的一种变体,用于研究代理之间的信息流。
课程简介: Non-classical logics are used to characterize phenomena with which classical logic has difficulty or to represent alternative views of reasoning. Relevant logic, for example, rejects the rule of classical logic that allows us to add new premises to an already valid inference to produce another valid inference. Relevant logic, as its name suggests, demands that all the premises of a valid argument be actually relevant to the derivation of the conclusion. In contrast, a weaker form of relevant logic – linear logic – is not supposed to represent an alternative view of valid inference, but rather describe relationships between different sorts of entities than classical (or relevant logic). Traditionally, logics are thought to represent relationships between propositions but linear logic represents relationships between resources and actions. The resulting logic is quite different from traditional logics and is interestingly related to the other logics that we will study such as relevant logic. A variant of linear logic, that we will also examine, is used to study the flow of information between agents.
关 键 词: 非古典逻辑; 经典逻辑; 有效推理
课程来源: 视频讲座网
最后编审: 2019-09-23:cwx
阅读次数: 73