反例的证伪实质及其构造方法初探

A Initial Probing into the Essence of Proving the False on Inverse Examples and its Structure Methods

本文从数学命题的真值形式和集合形式出发,探讨了数学反例的证伪实质.在此基础上,给出了几种构造反例的典型方法;1.交集方法;2.子集方法;3.类比方法;4.改造方法.

This paper probes into the essence of proving the false on mathematicalinverse examples by the truth-value form and set form of mathematical propo-sitions.On the base,it gives several canonical methods to structure inverseexample as follows:1.Intersection set method;2.Subset method;3.Analogy method;4.Remake method.