从限制命题推出一般命题之谬误——芝诺追及悖论新解

New Solution to Zeno’s Achilles’Paradox

在阿基里斯悖论(或追及悖论)中,芝诺为自己的论证限定了一个隐蔽的条件,即限定了有限距离,并两次偷换了问题,从而犯了从限制命题推出一般命题的错误,这一错误也是不完全归纳错误的精致案例。只不过,由于芝诺的归纳对象具有递减性,使得他将有限距离分割成无穷多个样本,从而将有限归纳伪装成无限归纳。芝诺追及悖论不是一个技术问题,即不是论证复杂性问题,而是一个思维问题。揭示该思维盲区,即可破解芝诺追及悖论。

In Achilles’paradox,Zeno qualified his argument with a hidden condition.He qualified finite distance,and sneakily replaced the problem twice,thus committing the error of launching a general proposition from a restricted proposition.It is also a typical case of incomplete induction of errors.However,because Zeno’s induction objects follow the rule of diminishing,he divided the finite distance into an infinite number of samples,thereby disguising the finite induction as an infinite one.Zeno’s Achilles’paradox is not a technical problem.It is problem of thinking rather than a problem of complexity argumentation.Zeno’s Achilles’paradox can be solved by revealing this thinking blind spot.