Having illustrated at length this reading, in regard to the duty of

keeping a promise, he contrasts, at the close of the section, the all
but infallibility of common human reason in practice with its
helplessness in speculation
Having illustrated at length this reading, in regard to the duty of
keeping a promise, he contrasts, at the close of the section, the all
but infallibility of common human reason in practice with its
helplessness in speculation. Notwithstanding, it finds itself unable to
settle the contending claims of Reason and Inclination, and so is
driven to devise a practical philosophy, owing to the rise of a
"Natural Dialectic" or tendency to refine upon the strict laws of duty
in order to make them more pleasant. But, as in the speculative region,
the Dialectic cannot be properly got rid of without a complete Critique
of Reason.


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In fact, a very noted professor in Berlin University developed

a series of properties of odd perfect numbers in his lectures
on the theory of numbers, and then followed these developments
with the statement that it is not known whether any such
numbers exist
In fact, a very noted professor in Berlin University developed
a series of properties of odd perfect numbers in his lectures
on the theory of numbers, and then followed these developments
with the statement that it is not known whether any such
numbers exist. This raises the interesting philosophical
question whether one can know things about what is not known to
exist; but the main interest from our present point of view
relates to the fact that the meaning of odd perfect number is
so very elementary that all can easily grasp it, and yet no one
has ever succeeded in proving either the existence or the
non-existence of such numbers.


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