INTERNAL TALK 28: INCLUSION AND EXTENSION - RELATIONSHIP BETWEEN IDEAS - PH.D DUONG NGOC DUNG, Mar 30th, 2022

23/ 06/ 2022

There are two properties to a concept: inclusion and extension. To grasp a concept, its inclusion and extension must be completely understood. A concept's inclusion consists of essential attributes of an object as they are reflected such a concept. It expresses the "qualitative" side of that concept, which answers the question: "What is the object reflected in such a concept?" A concept's extension is a totality of objects which possess the same attributes as reflected in such a concept. Every single object is an element belonging in that totality, and extension is such a totality, which expresses the "quantitative" side of a concept. It answers the question: "How many objects does such a concept reflect?" Inclusion reflects a historically situated knowledge, which changes in different ages. It determines a concept's extension in that specific period.

Inclusion and extension are related in an inverted proportion. If a concept's inclusion is wider, its extension smaller, and vice versa.

Relations among concepts are those among their extensions, as expressed in the following:

1-Relations of identity: two concepts have identical extensions, which means all the objects belonging to one concepts also belong in another.

2-Relation of inclusion: there exists a hierarchy of concepts, which means one concept can include another, low-order concept.

3-Relation of contradiction: two concepts may have two completely separated extensions, whose sum is equivalent to another concept's extension that embraces both of them.

4-Relation of dependence: one concept's extension is included in another's

 

 

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