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集合论是现代数学的基础。集合可以表达概念。设论域U、α是U上的一个概念,它的外延是U的一个子集A,对于U中的任一元素u,u应符合概念uεA,否则u(?)A,二者必居其一,绝不摸棱两可。因此,建立在普通集合论基础上的现代数学所讨论和解决的问题是严格、精确和绝对的。然而,在现实生活中的许多概念都是不确切的,对于每个对象很难用绝对的“符合”与“不符合”概念来回答。在“符合”与“不符合”之间还存在着既符合又不
Set theory is the foundation of modern mathematics. Collection can express concept. Let the universe of discourse U, α be a concept on U, its extension is a subset A of U, for any element u in U, u should conform to the concept uεA, otherwise u (?) A, both must live First, it is by no means ambiguous. Therefore, the problems discussed and solved by modern mathematics based on the general theory of set are strict, precise and absolute. However, many of the concepts in real life are imprecise, and it is difficult for each subject to respond with the notion of “conformity” and “non-conformity.” There is also agreement between “conformity” and “non-conformity”