What is the relationship between mathematical concepts?
Correct answer:
According to whether the extensions of the two concepts are similar or not, the relationship between concepts can be divided into two categories: compatible relationship and incompatible relationship. (2 points)
The compatibility relationship between (1) concepts refers to the relationship in which the extensions of two concepts at least partially overlap, and these two concepts are called compatibility concepts. Therefore, the compatible relationship can be divided into three types: homologous relationship, genus relationship and cross relationship:
① the same relationship; (2 points)
② Genus-species relationship; (2 points)
③ Cross relationship. (2 points)
(2) The incompatible relationship between concepts means that two concepts belonging to the same generic concept have no overlapping relationship in extension. Incompatibility is divided into opposites and contradictions.
(1) opposition (opposition); (2 points)
② Contradictory relationship. (2 points)