Since axiomatic concepts refer to facts of reality and are not a matter of
“faith” or of man’s arbitrary choice, there is a way to ascertain whether a
given concept is axiomatic or not: one ascertains it by observing the fact that
an axiomatic concept cannot be escaped, that it is implicit in all knowledge,
that it has to be accepted and used even in the process of any attempt to deny
it.
For instance, when modern philosophers declare that axioms are a matter of
arbitrary choice, and proceed to choose complex, derivative concepts as the
alleged axioms of their alleged reasoning, one can observe that their
statements imply and depend on “existence,” “consciousness,” “identity,” which
they profess to negate, but which are smuggled into their arguments in the form
of unacknowledged, “stolen” concepts.
It is worth noting, at this point, that what the enemies of reason seem to
know, but its alleged defenders have not discovered, is the fact that
axiomatic concepts are the guardians of man’s mind and the foundation of
reason—the keystone, touchstone and hallmark of reason—and if reason is to be
destroyed, it is axiomatic concepts that have to be destroyed.