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§1.集合我們对待日常生活中所接觸到的事物,往往是把若干个別事物看成一个整体,以便於談論或处理,例如:一班学生,一套圖書,等等,在數学中也是如此,例如我們說:“一多边形所有的頂点”,“所有〈100的素數”,“一个实函數的某些不連續點”,等等,这些由个別事物組成的整体,我們称之为“集合”。若一个集合,A是由个体α,β,γ,…組成的,我們常常寫作A={α,β,γ,…};α,β,γ,…称为集合A的元素,元素对集合A的从屬關係用“∈”來表示,例如α∈A,β∈A,…,有時也寫成A(?)a,A(?)β,…(初学者可略去以下幾點注意而直接閱讀§2)。
§1. Assembling the things we deal with in everyday life is often to treat individual things as a whole, so that we can discuss or deal with them. For example: a class of students, a set of books, etc., in mathematics Also, for example, we say: “All vertices of a polygon”, “All primes of <100”, “Some discontinuities of a real function”, etc. These are all made up of individual things, we call The “collection.” If a set, A is composed of individuals α, β, γ, ..., we often write A = {α, β, γ, ...}; α, β, γ, ... called the element of the set A, the element pair set A’s affiliation is represented by “∈”, for example, α∈A,β∈A,..., sometimes written as A(?)a, A(?)β,... (Beginners may omit the following points. And read §2) directly.