A Budget of Paradoxes, Volume IDe Morgan, Augustus
Philosophy
A Budget of Paradoxes, Volume I
De Morgan, Augustus
Circle-squaring; Perpetual motion; Science -- Miscellanea; Trisection of angle
Logic, though the other exact science, has not had the sort of assailants
who have clustered about mathematics. There is a sect which disputes the
utility of logic, but there are no special points, like the quadrature of
the circle, which {331} excite dispute among those who admit other things.
The old story about Aristotle having one logic to trammel us, and Bacon
another to set us free,--always laughed at by those who really knew either
Aristotle or Bacon,--now begins to be understood by a large section of the
educated world. The author of this tract connects the old logic with the
indecencies of the classical writers, and the new with moral purity: he
appeals to women, who, "when they see plainly the demoralizing tendency of
syllogistic logic, they will no doubt exert their powerful influence
against it, and support the Baconian method." This is the only work against
logic which I can introduce, but it is a rare one, I mean in contents. I
quote the author's idea of a syllogism:
"The basis of this system is the syllogism. This is a form of couching the
substance of your argument or investigation into one short line or
sentence--then corroborating or supporting it in another, and drawing your
conclusion or proof in a third."
On this definition he gives an example, as follows: "Every sin deserves
death," the substance of the "argument or investigation." Then comes,
"Every unlawful wish is a sin," which "corroborates or supports" the
preceding: and, lastly, "therefore every unlawful wish deserves death,"
which is the "conclusion or proof." We learn, also, that "sometimes the
first is called the premises (_sic_), and sometimes the first premiss"; as
also that "the first is sometimes called the proposition, or subject, or
affirmative, and the next the predicate, and sometimes the middle term." To
which is added, with a mark of exclamation at the end, "but in analyzing
the syllogism, there is a middle term, and a predicate too, in each of the
lines!" It is clear that Aristotle never enslaved this mind.
Public-domain text, read in full here on John Shaqi.
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