Equivalence of Syllogisms

Suhrawardi's Modal Syllogisms

Suhrawardi’s logic of the Hikmat al-Ishraq is basically modal. So to understand his modal logic one first has to know the non-modal part upon which his modal logic is built. In my previous paper ‘Suhrawardi on Syllogisms’(3) I discussed the former in detail. The present paper is an exposition of his treatment of modal syllogisms. On the basis of some reasonable existential presuppositi...

Suhrawardi on Syllogisms

Visualizing Syllogisms: Category Pattern Diagrams versus Venn Diagrams

A new diagrammatic notation for Syllogisms is presented: Category Pattern Diagrams, CPDs. A CPD configures different styles of line segments to simultaneously assign quantification values to categorical variables and relations among them. The design of CPDs attempts to coherently visualize the structure of syllogisms at various conceptual levels. In comparison to Venn Diagrams and conventional ...

Using Inclusion Diagrams as an Alternative to Venn Diagrams to Determine the Validity of Categorical Syllogisms

Inclusion diagrams are introduced as an alternative to using Venn diagrams to determine the validity of categorical syllogisms, and are used here for the analysis of diverse categorical syllogisms. As a preliminary example of a possible generalization of the use of inclusion diagrams, consideration is given also to an argument that includes more than two premises and more than three terms, the ...

Intermediate Syllogisms in Fuzzy Natural Logic

The goal of this paper is twofold: first, we give overview of the results of one part of the Fuzzy Natural Logic — the formal theory of intermediate quantifiers and syllogisms based on them. We present 105 valid basic syllogisms and show that for the proof of validity of all of them, we need to prove validity of only few of them so that validity of the other ones immediately follows. In the sec...