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Logic and Natural Language

Lu Wang

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Abstract

It is a general view that traditional logic is expressed in natural language and modern logic in formal one, which indicates that modern logic can not solve problems in natural language, while the traditional logic can. This is wrong. The primary difference between traditional logic and modern logic lies, on the surface, in their expressive forms, but in fact, in their syntax and semantics: the former is of the subject-predicate structure, while the latter of predicate structure. As a result, modern logic provides interpretations for natural language different from and better than that of traditional logic.

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What this paper is about

It is a general view that traditional logic is expressed in natural language and modern logic in formal one, which indicates that modern logic can not solve problems in natural language, while the traditional logic can. This is wrong. The primary difference between traditional logic and modern logic lies, on the surface, in their expressive forms, but in fact, in their syntax and semantics: the former is of the subject-predicate structure, while the latter of predicate structure. As a result, modern logic provides interpretations for natural language different from and better than that of traditional logic.

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Available abstract

It is a general view that traditional logic is expressed in natural language and modern logic in formal one, which indicates that modern logic can not solve problems in natural language, while the traditional logic can. This is wrong. The primary difference between traditional logic and modern logic lies, on the surface, in their expressive forms, but in fact, in their syntax and semantics: the former is of the subject-predicate structure, while the latter of predicate structure. As a result, modern logic provides interpretations for natural language different from and better than that of traditional logic.

Key concepts: Predicate logic, Predicate functor logic, Predicate variable, Philosophy of logic, Higher-order logic, Dynamic logic (digital electronics), Computational logic, Object language

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