Continuing from Lowell 2.4,

https://www.fromthepage.com/jeffdown1/c-s-peirce-manuscripts/ms-455-456-1903
-lowell-lecture-ii/display/13604:

 

The question of the proper way of expressing a conditional proposition de
inesse in a system of existential graphs has formed the subject of an
elaborate investigation with the reasoning of which I will not trouble you.
Suffice it to say that it is found that there is essentially but one proper
mode of representing it. Namely, in order to assert of the universe of
discourse that if it rains then a pear is ripe I must put on the blackboard
this: 



I draw the two ovals which I call a scroll in blue because I do not want you
to regard them as ordinary lines. I want you to join me in making believe
that they are cuts through the surface, and that inside the outer one the
skin of the board has been stripped off disclosing another surface below.
This I call the bottom or area. Therefore "It rains" is not scribed on the
blackboard or, as I say, is not scribed on the sheet of assertion. For what
is scribed on that sheet is asserted to be true of the universe of
discourse; while the statement "It rains" is a mere supposition. Let us say
that that bottom inside the outer cut represents another universe, a
universe of supposition, and that it is only in that universe that it is
said to rain. Besides this graph, "It rains" the bottom of the outer cut
contains the inner cut which interrupts its surface; and inside the inner we
will make believe that a patch is put in with a surface like that of the
blackboard, although cut off from it. I use the word area for any part of
the surface [unbounded?] or bounded by cuts, never extending [through?] a
cut. 

A fixed terminology is a great comfort. Let us term the area on which a cut
stands the place of the cut, while the area or bottom of the cut is the area
within the cut. The cut itself is not a graph nor the replica of a graph. No
more is the scroll. But the scroll with the two graphs scribed in its two
closes or areas makes up a graph, or graph-replica; and this I call an
enclosure. The term may be used indifferently to mean the graph or the
replica. 

 

 

 <http://gnusystems.ca/Lowells.htm> http://gnusystems.ca/Lowell2.htm }{
Peirce's Lowell Lectures of 1903

https://fromthepage.com/jeffdown1/c-s-peirce-manuscripts/ms-455-456-1903-low
ell-lecture-ii

 

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