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- Logic - Symbols, Formalization, Notation: The way in which logical concepts and their interpretations are expressed in natural languages is often very complicated. In order to reach an overview of logical truths and valid inferences, logicians have developed various streamlined notations.
www.britannica.com/topic/logic/Logical-notation
Sep 30, 2024 · The way in which logical concepts and their interpretations are expressed in natural languages is often very complicated. In order to reach an overview of logical truths and valid inferences, logicians have developed various streamlined notations.
Jun 12, 2022 · If natural language is not fully logical, how could it be possible to explain something purely logical through it? Well, simply put, "purely logical" is a suspect term. However, let's say what you mean is a formal, that is syntactically abstract, artificial language of logic as used in formal systems .
In linguistic semantics, there are two ways of adapting models to the interpretation of natural language: either natural language expressions are translated into logical notation (indirect interpretation) or models directly assign denotations to them (direct interpretation).
- 5.3.1 Using First Order Predicate Logic for NL Semantics. Formal logics have a well-defined syntax, which includes the legal symbols for terms, relations, quantifiers, operators, conjunctions, and functions and how they can be combined.
- 5.3.2 Compositionality in Logic-Based Representations. Domain independent semantics generally strive to be compositional, which in practice means that there is a consistent mapping between words and syntactic constituents and well-formed expressions in the semantic language.
- 5.3.3 Frame Languages and Logical Equivalents. Although first order logic offers many benefits (such as well-defined semantics and sound and complete inference strategies) they have critical deficiencies when it comes to representing objects, in addition to just referring to individuals as discussed in Section 5.3.2.
- 5.3.4 Compositionality using Frame Languages. Compositionality in a frame language can be achieved by mapping the constituent types of syntax to the concepts, roles, and instances of a frame language.
Mar 1, 1998 · The text examines what issues semantics, as a theory of meaning, should address; determining what the meanings of words of the language are and how to semantically combine elements of a language to build up complex meanings. Logical languages are then developed as formal metalanguages to natural language.
express all concepts capable of being expressed in natural language, to characterize all the valid inferences that can be made in natural language, and to mesh with adequate linguistic descriptions of all natural languages.
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The text examines what issues semantics, as a theory of meaning, should address; determining what the meanings of words of the language are and how to semantically combine elements of a language to build up complex meanings. Logical languages are then developed as formal metalanguages to natural language.