Diskussion:Syllogisme

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Set diagrams and four dimensional structure

The fifteen syllogisms valid in modern logic, represented in the diagrams below, correspond with a four element sets non empty subsets. Is anyone able to explain this curious matter?

Apart from this four dimensional structure, the fifteen diagrams make syllogisms more easy to understand, and could be integrated in the article. Red indicates, that one or more elements exist in this area, black indicates, that an area ist empty. White areas might contain elements or not, and are thus of no importance.

The Venn diagrams are useful to visualise the syllogism itself, and are easily transformed into diagrams visualising just its conclusion. This transformation is shown in the left image below. Greetings...

89.247.253.33 10. nov 2007, 18:48 (CET)

All Syllogisms

This table shows all 24 syllogisms, ordered by their figure in four rows. Syllogisms of the first figure are in the first row, etc.
Syllogisms showing the same content are ordered in the same column.

Barbara

Celarent

Darii

Ferio

Barbari

Celaront

Cesare

Camestres

Festino

Baroco

Cesaro

Camestros

Datisi

Disamis

Ferison

Bocardo

Felapton

Darapti

Calemes

Dimatis

Fresison

Calemos

Fesapo

Bamalip

Lipedia 22. mar 2010, 14:33 (CET)