作　　者： ; ;

机构地区： 华南师范大学数学科学学院

出　　处： 《数学教育学报》 2015年第3期51-54,共4页

摘　　要： 贝特朗悖论之争主要有5种类型,争论的本质体现在4个方面.贝特朗悖论产生的原因是原问题缺少具体的等可能性假设之条件.几何概型的等可能性假设必须明确地给出,它无法通过直觉获取,也不能通过实践验证.从直观的、直觉的、现实世界的角度去看数学世界的内容是引起贝特朗悖论争论的本质原因.深刻理解这些观点对几何概率教学有重要的指导作用. The debate of Bertrand Paradox mainly concludes five types and the essence of the debate lies in four aspects. The reason of Bertrand Paradox is the lack of explicit equal- possible hypothesis. Equal-possible hypothesis must be given definitely. It can neither be acquired by instinct nor be confirmed by practice. The essential reason of the debate of Bertrand Paradox is that we understand the mathematics world in visual, intuitive and real perspectives. Deep understanding about these views has great influence on geometric probability teaching.

关 键 词： 贝特朗悖论 几何概率 样本空间 等可能性假设

领　　域： [文化科学]