Two Standard and Two Modal Squares of Opposition

D 2017

Two Standard and Two Modal Squares of Opposition

RACLAVSKÝ, Jiří

Basic information

Original name

Two Standard and Two Modal Squares of Opposition

Authors

RACLAVSKÝ, Jiří (203 Czech Republic, guarantor, belonging to the institution)

Edition

1. vyd. Cham, Switzerland, The Square of Opposition: A Cornerstone of Thought, p. 119-142, 24 pp. 2017

Publisher

Birkhäuser-Springer

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

60300 6.3 Philosophy, Ethics and Religion

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

References:

URL

RIV identification code

RIV/00216224:14210/17:00094687

Organization unit

Faculty of Arts

ISBN

978-3-319-45062-9

DOI

http://dx.doi.org/10.1007/978-3-319-45062-9

UT WoS

000413334500008

Keywords in English

square of opposition; modal logic; intensional logic; existential import; partiality

Abstract

V originále

In this study, we examine modern reading of the Square of Opposition by means of Tichý's Transparent intensional logic. Explicit use of possible world semantics helps us to sharply discriminate between standard and modal readings of categorial statements. We thus get two basic versions of the Square, whereas the Modal Square has not been fully introduced in the contemporary debate yet. Some properties ascribed by mediaeval logicians to the Square require a shift from its Standard to Modal version. Not inevitably, because for each of the two squares there exists its mate which can be easily confused with it. We thus investigate four distinct squares. The discrimination between the initial and modified versions of the Standard and Modal Square leads to better knowledge of the Square as well as a solution of various puzzles often mentioned in recent literature.

Links

GA16-19395S, research and development project

Name: Sémantické pojmy, paradoxy a hyperintenzionální logika založená na moderní rozvětvené teorii typů (Acronym: Sémantické pojmy)

Investor: Czech Science Foundation

Citovat

RACLAVSKÝ, Jiří. Two Standard and Two Modal Squares of Opposition. In Beziau, Jean-Yves; Basti, Gianfranco. The Square of Opposition: A Cornerstone of Thought. 1st ed. Cham, Switzerland: Birkhäuser-Springer, 2017, p. 119-142. ISBN 978-3-319-45062-9. Available from: https://dx.doi.org/10.1007/978-3-319-45062-9.

@inproceedings{1376344,
   author = {Raclavský, Jiří},
   address = {Cham, Switzerland},
   booktitle = {The Square of Opposition: A Cornerstone of Thought},
   doi = {http://dx.doi.org/10.1007/978-3-319-45062-9},
   edition = {1.},
   editor = {Beziau, Jean-Yves; Basti, Gianfranco},
   keywords = {square of opposition; modal logic; intensional logic; existential import; partiality},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Cham, Switzerland},
   isbn = {978-3-319-45062-9},
   pages = {119-142},
   publisher = {Birkhäuser-Springer},
   title = {Two Standard and Two Modal Squares of Opposition},
   url = {http://www.springer.com/us/book/9783319450612#},
   year = {2017}
}

TY  - JOUR
ID  - 1376344
AU  - Raclavský, Jiří
PY  - 2017
TI  - Two Standard and Two Modal Squares of Opposition
PB  - Birkhäuser-Springer
CY  - Cham, Switzerland
SN  - 9783319450629
KW  - square of opposition
KW  - modal logic
KW  - intensional logic
KW  - existential import
KW  - partiality
UR  - http://www.springer.com/us/book/9783319450612#
N2  - In this study, we examine modern reading of the Square of Opposition by means of Tichý's Transparent intensional logic. Explicit use of possible world semantics helps us to sharply discriminate between standard and modal readings of categorial statements. We thus get two basic versions of the Square, whereas the Modal Square has not been fully introduced in the contemporary debate yet. Some properties ascribed by mediaeval logicians to the Square require a shift from its Standard to Modal version. Not inevitably, because for each of the two squares there exists its mate which can be easily confused with it. We thus investigate four distinct squares. The discrimination between the initial and modified versions of the Standard and Modal Square leads to better knowledge of the Square as well as a solution of various puzzles often mentioned in recent literature.
ER  -

RACLAVSKÝ, Jiří. Two Standard and Two Modal Squares of Opposition. In Beziau, Jean-Yves; Basti, Gianfranco. \textit{The Square of Opposition: A Cornerstone of Thought}. 1st ed. Cham, Switzerland: Birkhäuser-Springer, 2017, p.~119-142. ISBN~978-3-319-45062-9. Available from: https://dx.doi.org/10.1007/978-3-319-45062-9.

Detailed Information on Publication Record