摘要
将芝诺"阿基里斯"悖论与龟兔赛跑的故事相联系,以亚里士多德和黑格尔对芝诺的反驳为引子,给出了代数和极限方法的证明;指出应避免为抽象而抽象、混淆实际步骤和虚拟步骤、混淆步骤无限和时间无限以及不将经验方法与推理方法相结合等错误;指出了芝诺"阿基里斯"悖论的本质。
Related Zeno＇s Second Paradox （Achilles） and tortoise rabbit race story, according to Aristotle and Hegel＇s confutatation to Zeno, the proof of algebraic and limit method are given, the error that should avoid is pointed out, such as abstracting for being abstract, confusing actual step and fictitious step, confusing step infinite and time infinite, not combining experience method and reasoning method each other, and so on. The essence of Zeno＇s Second Paradox is given.
出处
《科学技术与工程》
2009年第16期4737-4741,共5页
Science Technology and Engineering
基金
山东大学科技计划专项基金资助(200807128)资助
