Semantics in Banach spaces
type: Item
instance of: scholarly article
title: Semantics in Banach spaces
zbMATH Open document ID: 0559.03017
DOI: 10.1007/BF01418761
author: Sławomir Bugajski
published in: Studia Logica
publication date: 1983-01-01T00:00:00Z
review text: The aim of this paper is to call attention of logicians and philosophers to the possibility of formulating semantics in terms of functional analysis concepts. A new approach to semantics is proposed, whose basic concept is that of an ordered Banach space. This formulation of semantics arises as a natural generalization of the Giles' approach to belief structures and, at the same time, of the so-called ''fuzzy extensions'' of Boolean as well as of non-Boolean semantics. Finally, it should be remarked that some independent motivation for applications of ordered Banach spaces in semantics can be found in the so-called ''operational approach'' to the foundations of quantum mechanics.
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 46A40
zbMATH DE Number: 3891334
zbMATH Keywords: fuzzy sets
zbMATH Keywords: ordered Banach space
zbMATH Keywords: belief structures
zbMATH Keywords: fuzzy extensions
MaRDI profile type: Publication
cites work: Q5611281
cites work: Q5644611
cites work: Q4128788
cites work: Q5653193
full work available at URL: https://doi.org/10.1007/bf01418761
OpenAlex ID: W143939031
description: scientific article; zbMATH DE number 3891334