Continuing from Lowell 2.5: https://fromthepage.com/jeffdown1/c-s-peirce-manuscripts/ms-455-456-1903-low ell-lecture-ii/display/13608
In order to get an insight into how the scroll represents the conditional proposition de inesse, we must make a little experimental research. Thus far, we have no means of expressing an absurdity. Let us invent a sign which shall assert that everything is true. Nothing could be more illogical than that statement, inasmuch as it would render logic false as well as needless. Were every graph asserted to be true, there would be nothing that could be added to that assertion. Accordingly, our expression for it may very appropriately consist in completely filling up the area on which it is asserted. Such filling up of an area, may be termed a blot. Take the conditional proposition de inesse, "If it rains then everything is true[":] That amounts to denying that it rains. But there is no need of making the inner cut so large. Let us write or even This suggests that the relation which the cut asserts between the universe of discourse and what is scribed within it is simply that what is scribed within is false of the universe of discourse. Then we may interpret as meaning "It is false that it rains and that a pear is not ripe." But we have already seen that this is precisely the whole meaning of the conditional de inesse; namely that it is false that the antecedent is true while the consequent is false. Thus, that which the cut asserts is precisely that that which is on its bottom is not, as a whole, true. <http://gnusystems.ca/Lowells.htm> http://gnusystems.ca/Lowells.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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