Rudy's Diamond Strategies

This complementary Blog to the Chinese Challenge Blog is presenting studies to a mathematical theory of Diamonds. Diamond theory is studying for the first time, tabular categories as an interaction of categories and saltatories.

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Friday, February 13, 2009

Toth's semiotic diamonds

Analyzing construction principles for semiotic diamonds


A a detailed comparison of Toth’s semiotic diamonds (Diamanten) and the diamonds of diamond category theory is presented.

It turns out that Toth’s Diamanten are based on inversions of acceptional morphisms and are not constituting any rejectional morphisms, i.e. hetero-morphisms.

A proper definition of the matching conditions is missing by Toth.

A comparison of the matching conditions for Diamanten and diamonds gives easy criteria for a separation of the approaches.

As a result, semiotic Diamanten are not working as semiotic models of categorical diamonds.

Nevertheless, semiotic Diamanten are a novelty in semiotics and are opening up new fields of semiotic studies.