Sheaf-Theoretic Formal Semantics.

We outline a sheaf-theoretical framework for a discourse interpretation theory developed in our previous works on formal semantics. This theory applies rigorous mathematical methods in studying the process of interpretation of a natural language text written with good grace and intended for a human...

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Detalles Bibliográficos
Publicado en:TRAMES: A Journal of the Humanities & Social Sciences Vol. 10; no. 1; pp. 57 - 81
Autor principal: Prosorov, Oleg
Formato: Artículo
Publicado: Teaduste Akadeemia Kirjastus 2006
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:We outline a sheaf-theoretical framework for a discourse interpretation theory developed in our previous works on formal semantics. This theory applies rigorous mathematical methods in studying the process of interpretation of a natural language text written with good grace and intended for a human understanding. We propose the generalization of Frege's principle of compositionality of meaning which extends its domain from the level of isolated sentence to that of a whole text and takes into account the multiplicity of senses and meanings of words, sentences and texts. The present sheaf-theoretical formal semantics provides a mathematical model of the text interpretation process while rejecting the attempts to codify interpretative practice as a kind of calculus. Reprinted by permission of the publisher.