On Knowledge, Strings, and Paradoxes
نویسنده
چکیده
A powerful syntactic theory as well as expressive modal logics have to deal with self-referentiality. Self-referentiality and paradoxes seem to be close neighbours and depending on the logical system, they have devastating consequences, since they introduce contradictions and trivialise the logical system. There is a large amount of diierent attempts to tackle these problems. Some of them are compared in this paper, futhermore a simple approach based on a three-valued logic is advocated. In this approach paradoxes may occur and are treated formally. However, it is necessary to be very careful, otherwise a system built on such an attempt trivialises as well. In order to be able to formally deal with such a system, the reason for self-referential paradoxes is studied in more detail and a semantical condition on the connectives is given such that paradoxes are excluded. Ich habe manche Zeit damit verloren, Denn ein vollkommner Widerspruch Bleibt gleich geheimnisvoll f ur Kluge wie f ur Toren. ... Geww ohnlich glaubt der Mensch, wenn er nur Worte hh ort, Es m usse sich dabei doch auch was denken lassen.
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تاریخ انتشار 1998