A strange loop

Posted: 01/10/2014 in Philosophy
Tags: , ,

Rule Number x: Every rule has an exception.

Now thinking about this rule, stating: that every rule has an exception. Let’s apply this rule to itself. It means that this rule has an exception and there is at least one rule y that has no exception.

Two possibilities:

– x and y are not the same rule. Then rule x is wrong because we have found a rule that has no exception.

– x and y are the same, so basically what x is saying:

Rule x: Every rule has an exception, including this one. Its exception is that it has no exception.

This is a strange loop.

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