Sunday, July 31, 2011

Being nearly there

The summer holidays being here, consider Zeno taking his family on a trip. One of his kids asks ‘Are we nearly there?’ Suppose the answer is ‘No’, as it will be for most of their journey. Typically, the question is repeated a short time later. Since they will not have moved very far in that short time, how could they be nearly there? A bit further on from any place that was not nearly there would still not be nearly there. The Sorites paradox is that it follows logically that they will never be nearly there. But as Zeno knows, children are impossible.

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