Publication details

Dva standardní a dva modální logické čtverce

Title in English Two standard and two modal squares of opposition


Year of publication 2014
Type Appeared in Conference without Proceedings
MU Faculty or unit

Faculty of Arts

Description n this study, we examine modern reading of the Square of Opposition by means of intensional logic. Explicit use of possible world semantics helps us to sharply discriminate between the standard and modal ('alethic') readings of categorical statements. We get thus two basic versions of the Square. The Modal Square has not been introduced in the contemporary debate yet and so it is in the centre of interest. 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. The discrimination between the initial and modified versions of the Standard and Modal Square enable us to separate findings about properties of the Square into four groups, which makes their proper com-parison possible. The disambiguation so achieved leads to the solution of various puzzles often mentioned in recent literature.
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