The Logic of Rules and Exceptions

It is a frequently stated truism that, “There is an exception to every rule.”  But many people have pointed out that some rules seem to have no exceptions.  Take, for example, the rule that the circumference of a circle is pi times the diameter.  This is always true, no exceptions.  That seems to contradict the rule that, “There is an exception to every rule.”  But I take a different view.  The statement that, “There is an exception to every rule,” is, in itself, a rule, and therefore exceptions to this rule must exist.  Right?  Of course.  Those rules for which there are no exceptions do not disprove or devalue the rule, they are, in fact, the exceptions to the rule that, “There are exceptions to every rule.”

It’s clear as mud, but at least it covers the ground.

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