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In short the difference between alpha impossibility
and beta impossibilitiy is that alpha impossibility
is implicit self contradiction violating
the principle of contradiction and therefore being
an impossibility for anything that has any kind of
being. A beta-impossibility is an impossibility
for whatever exists, so that the principle of excluded
middle holds of it, whether this existence be accomplished
or be in future.

First the A rule for finding whether a graph is
B. impossible, or if not how near it comes to that condition
what graph would have to
be [scribed??] along with is to render it so, is
as follows:

1st: Find in the graph some lexis (regarding θ as a lexis,) of
which is both one replica is oddly enclosed and
another is evenly enclosed, the latter not being
within every cut enclosing the former. Call every such pivotal spot an adaptible pair. And

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