He goes on: “I shall allow, if you please, that the one proposition may
justly be inferred from the other; I know in fact that it always is
inferred. But if you insist that the inference is made by a chain of
reasoning, I desire you to produce that chain of reasoning. The
connection between these propositions is not intuitive. There is
required a medium which may enable the mind to draw such an inference,
if, indeed, it be drawn by reasoning and argument. What the medium is, I
must confess, passes my comprehension; and it is incumbent on those to
produce it who assert that it exists, and is the origin of all our
conclusions concerning matters of fact.”
If we regard the matter more closely we may say with certainty: This
medium exists not as a substance but as a transition. When I speak in
the proposition of “such an object,” I already have “similar” in mind,
inasmuch as there is nothing absolutely like anything else, and when I
say in the first proposition, “such an object,” I have already passed
into the assertion made in the second proposition.
Suppose that we take these propositions concretely:
(1) I have discovered that bread made of corn has a nourishing effect.
(2) I foresee that other apparently similar objects, e.g., wheat, will
have a like effect.
I could not make various experiments with the same corn in case (1). I
could handle corn taken as such from one point of view, or considered as
such from another, i.e., I could only experiment with very similar
objects. I can therefore make these experiments with corn from
progressively remoter starting points, or soils, and finally with corn
from Barbary and East Africa, so that there can no longer be any
question of identity but only of similarity. And finally I can compare
two harvests of corn which have less similarity than certain species of
corn and certain species of wheat. I am therefore entitled to speak of
identical or similar in the first proposition as much as in the second.
One proposition has led into another and the connection between them has
been discovered.
Public-domain text, read in full here on John Shaqi.
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