3

2

the purpose which this system of expression
is designed to fulfil. It is intended to
enable us to separate reasoning into its
smallest steps so that each one may be
examined by itself. Observe, then, that it is
not the purpose of this system of expression
to facilitate reasoning and to enable one to
reach his conclusions by [or "in"] the speediest manner.
Were that our object, we should seek a system
of expression which should reduce
many steps to one; while our object is to
subdivide one step into as many as possible.
Our system is intended to facilitate
the study of reasoning but not to facilitate
reasoning itself. Its character is
quite contrary to that purpose.

Let the blackboard represent the
universe. As thus significant we will call it the
sheet of assertion.

Let whatever I write upon the black
board or sheet of assertion go toward making the representation

2

nize the purpose which this system of expres-
sion is designed to fulfil. It is intended to
enable us to separate reasoning into its
smallest steps so that each one may be
examined by itself. Observe, then, that it is
_not_ the purpose of this system of expression
to facilitate reasoning and to enable one to
reach his conclusions by [or "in"] the speediest man-
ner. Were that our object, we should seek a sys-
tem of expression which should reduce
many steps to one; while our object is to
subdivide one step into as many as pos-
sible. Our system is intended to facilitate
the _study_ of reasoning but not to facili-
tate reasoning itself. Its character is
quite contrary to that purpose.

Let the blackboard represent the
universe. As thus significant we will call it the
sheet of assertion.

Let whatever I write upon the black
board or sheet of assertion go toward making the repre-