Only if the cycles are defined with sufficent imprecision.  Here's a
cyclical theory that is suffciently precise to be disproved: the rate of
growth of the French population has oscillated from psotive to negative with
a 47-year period since the twelfth century.  I just made this theory up, and
it's probably false.
But it's hardly vacuous.  
>But history is continuous, one year after
>another, no one year any different than any other year, every year of equal
>length.  No year is to be given a privileged position when starting a
>cyclical analysis.  There is no "generation" identifiable anywhere except
>in relation to yourself and yourself alone.  To arbitrarily assert
>otherwise is to commit a category error in analysis.
Begin analogy:
But geography is continuous, one kilometer after another, no one kilometer
any different than any other kilometer, every kilometer of equal length.  No
kilometer is to be given a privileged position when starting a cyclical
analysis.  There is no "basin/range alternation" identifiable anywhere
except in relation to yourself and yourself alone.  To arbitrarily assert
otherwise is to commit a category error in analysis.
End analogy.
A generation is a theoretical concept used by people who try to explain
history.    I don't see why it's a category error to construct such a
concept, and then argue that it provides a correct theory.  What two
categories are you claiming to have been confused in this case? 
--CarlF