Document Type : Research

Author

• behzad parvazmanesh

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Abstract

The topic of concepts and ideas in classical logic is less noticed, while this part of logic knowledge is very important because it is the infrastructure of the topics of propositions. the relationships between concepts is one of these topics that provides one of the most infrastructure of the categorical syllogism. This type of syllogism is one of the main goals of classical Aristotelian logic. In this topic, the relationship between the concepts and their contradictions is examined; But calculating and achieving the ratio of this concepts to their contradictions become difficult and ambiguous. This research introduces the two concepts of "complete" and "incomplete" for the two places general and particular relationships of aspect and contrast. These new concepts lead to the expansion of these relationships to the six of them and solves the aforementioned problem. Also, evaluate this proposal with the special and new criterion of well-constructed knowledge systems which has been studied in another research of the author. An evaluation result of the improvement of the quantity and quality of the Aristotelian particular relationships table has been compared to the six of them.

Keywords

• quarter relationships
• six relationships
• universal set
• well-construction

Main Subjects

• Comparative Studies in Logic