Modalities and Quantification

Modalities and Quantification
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方式和量化

DOI:
10.2307/2268610
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发表时间:
1946
影响因子:
0.6
通讯作者:
R. Carnap
R. Carnap
中科院分区:
数学3区
文献类型:
--
作者:
R. Carnap

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本文的目的是对我在逻辑模态研究中发现的一些结果进行综述。这些结果涉及:(1)语义系统,即,符号语言系统,其语义解释规则被规定;(2)对应的演算,即,(3)语义系统与相应演算之间的关系。要处理的语义系统如下:命题逻辑(PL),功能逻辑(FL),以及相应的模态系统,即模态命题逻辑(MPL)和模态功能逻辑(MFL)。
The purpose of this article is to give a survey of some results I have found in investigations concerning logical modalities. The results refer: (1) to semantical systems, i.e., symbolic language systems for which semantical rules of interpretation are laid down; (2) to corresponding calculi, i.e., syntactical systems with primitive sentences and a rule of inference; (3) to relations between a semantical system and the corresponding calculus. The semantical systems to be dealt with are the following: pro positional logic (PL), functional logic (FL), and the corresponding modal systems, viz. modal propositional logic (MPL) and modal functional logic (MFL).