Abridgment of the Debates of Congress, from 1789 to 1856, Vol. 2 (of 16)United States. Congress
History
Abridgment of the Debates of Congress, from 1789 to 1856, Vol. 2 (of 16)
United States. Congress
Law -- United States; United States -- Politics and government
Mr. GALLATIN said, the resolution under consideration went to direct the
PRESIDENT to apply to all those States, by whom, as far as can be known
from the official documents heretofore transmitted, all or any of the
amendments at any time proposed by Congress still remained to be
ratified. There could be no occasion to make the inquiry with respect to
all these amendments, unless it were taken for granted that none of them
had yet been ratified. He was, therefore, of opinion, with the gentleman
from Virginia, that such an application would be very improper, as
bringing the ten last amendments into doubt, which he believed to be as
much a part of the constitution as any other article in it; he also
thought them a very valuable part, and not to be trifled with.
But, upon what ground, said Mr. G., do the advocates of this report
prove that 11 is not three-fourths of 14? The idea was so novel that he
could scarcely understand what principle they adopted in order to create
a doubt on their minds on this subject. To him the position that 11 was
more than three-fourths of fourteen appeared to be one of those
self-evident axioms which hardly admit of a proof. The principle on
which the doubt arose must be so very nice, so abstract, that he did not
know whether he was capable of comprehending it. Anxious as he was to
avoid saying any thing which might be construed as misstatement, he
would, however, attempt to analyze what he conceived to be the ground of
the gentleman from South Carolina, (Mr. HARPER.)
It appeared to him that that gentleman thought three-fourths in itself
was not a fraction of the unit, was not a number conveying to the mind
the simple idea of a fraction; but that it was a compound of fractions,
and that the only way by which the idea of three-fourths could be
conceived was by a decomposition. Because the idea of three-fourths was
by our numerical arithmetic expressed by the two figures 3/4, that
gentleman was unable to conceive what it meant except by decomposition,
by dividing the unit into four equal parts and multiplying the result by
3. And if that idea of three-fourths had happened to be expressed by the
fraction nine-twelfths, (which was the same thing as three-fourths,)
that gentleman could not have conceived it except by dividing in the
first place the unit into twelve parts and then multiplying the result
by nine. In fact he denied the existence of any number, part of a unit,
except as it consisted of an aggregate of such parts as the unit could
exactly be divided into.
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