A Functional Approach to the Logical Semiotics of Natural Language

Pelc, Jerzy

doi:10.1007/978-94-009-9777-6_29

Cited by 9 publications

(6 citation statements)

References 5 publications

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“…• Taking into account, in the theory of syntax, the double ontological character of language objects, as well as -following Pelc (1971Pelc ( , 1979 the functional approach to the logical analysis of language, allows speaking about two manners of using language expressions. The first of themapplied in acts of inter-human language-based communication -concerns using expression-tokens; the other -using expression-types and determining on what, formally, correct adequate language communication depends.…”

Section: Discussionmentioning

confidence: 99%

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On Language Adequacy

Wybraniec-Skardowska

2015

Studies in Logic, Grammar and Rhetoric

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The paper concentrates on the problem of adequate reflection of fragments of reality via expressions of language and inter-subjective knowledge about these fragments, called here, in brief, language adequacy. This problem is formulated in several aspects, the most general one being: the compatibility of the language syntax with its bi-level semantics: intensional and extensional. In this paper, various aspects of language adequacy find their logical explication on the ground of the formal-logical theory of syntax T of any categorial language L generated by the so-called classical categorial grammar, and also on the ground of its extension to the bi-level, intensional and ex- tensional semantic-pragmatic theory ST for L. In T, according to the token- type distinction of Ch. S. Peirce, L is characterized first as a language of wellformed expression-tokens (wfe-tokens) - material, concrete objects - and then as a language of wfe-types - abstract objects, classes of wfe-tokens. In ST the semantic-pragmatic notions of meaning and interpretation for wfe-types of L of intensional semantics and the notion of denotation of extensional seman- tics for wfe-types and constituents of knowledge are formalized. These notions allow formulating a postulate (an axiom of categorial adequacy) from which follow all the most important conditions of the language adequacy, including the above, and a structural one connected with three principles of compositionality.

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Section: Discussionmentioning

confidence: 99%

“…This concept is a logical pragmaticsemantic one and has certain connections with the understanding of meaning as a manner of using language expressions. It takes into account the so-called functional approach to language analysis represented by Pelc (1971Pelc ( , 1979.…”

Section: Intensional Semanticsmentioning

confidence: 99%

On Language Adequacy

Wybraniec-Skardowska

2015

Studies in Logic, Grammar and Rhetoric

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“…The meaning µ(e) of the wfe e of the set S may be intuitively understood, in accordance with the understanding of meaning of expressions by Ajdukiewicz [1,2] and, independently, by Wittgenstein [55] as a common property of all the wfes of S which possess the same manner of using as does e by competent users of language L (cf. [41]). Formalisation of thus conceived notion of meaning (and related notions) is given by Wybraniec-Skardowska in [62].…”

Section: S =mentioning

confidence: 99%

What Is the Sense in Logic and Philosophy of Language

Wybraniec-Skardowska

2020

B Sect Log

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In the paper, various notions of the logical semiotic sense of linguistic expressions – namely, syntactic and semantic, intensional and extensional – are considered and formalised on the basis of a formal-logical conception of any language L characterised categorially in the spirit of certain Husserl's ideas of pure grammar, Leśniewski-Ajdukiewicz's theory of syntactic/semantic categories and, in accordance with Frege's ontological canons, Bocheński's and some of Suszko's ideas of language adequacy of expressions of L. The adequacy ensures their unambiguous syntactic and semantic senses and mutual, syntactic and semantic correspondence guaranteed by the acceptance of a postulate of categorial compatibility of syntactic and semantic (extensional and intensional) categories of expressions of L. This postulate defines the unification of these three logical senses. There are three principles of compositionality which follow from this postulate: one syntactic and two semantic ones already known to Frege. They are treated as conditions of homomorphism of partial algebra of L into algebraic models of L: syntactic, intensional and extensional. In the paper, they are applied to some expressions with quantifiers. Language adequacy connected with the logical senses described in the logical conception of language L is, obviously, an idealisation. The syntactic and semantic unambiguity of its expressions is not, of course, a feature of natural languages, but every syntactically and semantically ambiguous expression of such languages may be treated as a schema representing all of its interpretations that are unambiguous expressions.

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“…We come to deal with the double ontological character of language expressions also when we take into account the so-called functional approach to language in the framework proposed by Jerzy Pelc (1979). Then we take into consideration two manners of usage of expressions.…”

Section: The Double Ontological Status Of Language Expressionsmentioning

confidence: 99%

Logic and the Ontology of Language

Wybraniec-Skardowska¹

2019

Contemporary Polish Ontology

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The main purpose of the paper is to outline the formal-logical, general theory of language treated as a particular ontological being. The theory itself is called the ontology of language, because it is motivated by the fact that the language plays a special role: it reflects ontology and ontology reflects the world. Language expressions are considered to have a double ontological status. They are understood as either concretes, that is tokens-material, physical objects, or typesclasses of tokens, which are abstract objects. Such a duality is taken into account in the presented logical theory of syntax, semantics and pragmatics. We point to the possibility of building it on two different levels; one which stems from concretes, language tokens of expressions, whereas the other one-from their classes, types conceived as abstract, ideal beings. The aim of this work is not only to outline this theory as taking into account the functional approach to language, with respect to the dual ontological nature of its expressions, but also to show that the logic based on it is ontologically neutral in the sense that it abstracts from accepting some existential assumptions, related with the ontological nature of these linguistic expressions and their extra-linguistic ontological counterparts (objects).

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A Functional Approach to the Logical Semiotics of Natural Language

Cited by 9 publications

References 5 publications

On Language Adequacy

On Language Adequacy

What Is the Sense in Logic and Philosophy of Language

Logic and the Ontology of Language

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