Algebraic Model of Reflexive Problematic Statements

This paper focuses on reflexive problematic statements represented by modal judgments of validity (subjective truth) and their combinations. It is proposed to describe these statements at three levels: reflexive problematic statements per se, modal judgments that characterize the validity of sentenc...

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Bibliographic Details
Published inScientific and technical information processing Vol. 49; no. 6; pp. 472 - 480
Main Author Petrovsky, V. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2022
Springer Nature B.V
Subjects
Computer Science
Computer Systems Organization and Communication Networks
Mathematical models
Matrix representation
Validity
ladder of reflection
modal judgments
cogito
cogito style
problematic statements
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Summary:This paper focuses on reflexive problematic statements represented by modal judgments of validity (subjective truth) and their combinations. It is proposed to describe these statements at three levels: reflexive problematic statements per se, modal judgments that characterize the validity of sentences constituting complex statements, and matrix representations of modal judgments. Modal judgments, as part of reflexive problematic statements, are hierarchically organized to form a “ladder of reflection.” The set of modal judgments that is isomorphic to a group of validity evaluation matrices is characterized. Personal cogito styles are determined along with cognitive styles.
ISSN:0147-6882
1934-8118
DOI:10.3103/S0147688222060090