Conservative Intensional Extension of Tarski's Semantics
Author
Source
Advances in Artificial Intelligence
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Information Technology and Computer Science
Science
Abstract EN
We considered an extension of the first-order logic (FOL) by Bealer's intensional abstraction operator.
Contemporary use of the term “intension” derives from the traditional logical Frege-Russell doctrine that an idea (logic formula) has both an extension and an intension.
Although there is divergence in formulation, it is accepted that the “extension” of an idea consists of the subjects to which the idea applies, and the “intension” consists of the attributes implied by the idea.
From the Montague's point of view, the meaning of an idea can be considered as particular extensions in different possible worlds.
In the case of standard FOL, we obtain a commutative homomorphic diagram, which is valid in each given possible world of an intensional FOL: from a free algebra of the FOL syntax, into its intensional algebra of concepts, and, successively, into an extensional relational algebra (different from Cylindric algebras).
Then we show that this composition corresponds to the Tarski's interpretation of the standard extensional FOL in this possible world.
American Psychological Association (APA)
Majkić, Zoran. 2013. Conservative Intensional Extension of Tarski's Semantics. Advances in Artificial Intelligence،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-508183
Modern Language Association (MLA)
Majkić, Zoran. Conservative Intensional Extension of Tarski's Semantics. Advances in Artificial Intelligence No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-508183
American Medical Association (AMA)
Majkić, Zoran. Conservative Intensional Extension of Tarski's Semantics. Advances in Artificial Intelligence. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-508183
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508183