Philosophy Study 6 (9) (2016)

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Abstract
In the paper, original formal-logical conception of syntactic and semantic: intensional and extensional senses of expressions of any language L is outlined. Syntax and bi-level intensional and extensional semantics of language L are characterized categorically: in the spirit of some Husserl’s ideas of pure grammar, Leśniewski-Ajukiewicz’s theory syntactic/semantic categories and in accordance with Frege’s ontological canons, Bocheński’s famous motto—syntax mirrors ontology and some ideas of Suszko: language should be a linguistic scheme of ontological reality and simultaneously a tool of its cognition. In the logical conception of language L, its expressions should satisfy some general conditions of language adequacy. The adequacy ensures their unambiguous syntactic and semantic senses and mutual, syntactic, and semantic compatibility, correspondence guaranteed by the acceptance of a postulate of categorial compatibility syntactic and semantic categories of expressions of L. From this postulate, three principles of compositionality follow: one syntactic and two semantic already known to Frege. They are treated as conditions of homomorphism 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, of course, an idealization, but only expressions with high degrees of precision of their senses, after due justification, may become theorems of science.
Keywords logic of language   categorial language   syntactic and semantic senses   intensional semantics   meaning   constituent of knowledge   extensional semantics   ontological object   denotation   categorization   syntactic and semantic compatibility
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DOI 10.17265/2159-5313/2016.09.007
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References found in this work BETA

Universal Grammar.Richard Montague - 1970 - Theoria 36 (3):373--398.
Ueber Sinn Und Bedeutung (Summary).Gottlob Frege - 1892 - Philosophical Review 1 (5):574-575.
Begriffsschrift Und Andere Aufsätze.Gottlob Frege & Ignacio Angelelli - 1964 - Wissenschaftliche Buchgesellschaft.
The Mathematics of Sentence Structure.Joachim Lambek - 1968 - Journal of Symbolic Logic 33 (4):627-628.

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Citations of this work BETA

What Is the Sense in Logic and Philosophy of Language.Urszula Wybraniec-Skardowska - 2020 - Bulletin of the Section of Logic 49 (2):185-211.

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