A Budget of Paradoxes, Volume IIDe Morgan, Augustus
Philosophy
A Budget of Paradoxes, Volume II
De Morgan, Augustus
Circle-squaring; Perpetual motion; Science -- Miscellanea; Trisection of angle
How then comes the history of astronomy among the paradoxes? Simply because
the author, so admirably when writing about what he knew, did not know what
he did not know, and blundered like a circle-squarer. And why should the
faults of so good a writer be recorded in such a list as the present? For
three reasons: First, and foremost, because if the exposure be not made by
some one, the errors will gradually ooze out, and the work will get the
character of inaccurate. Nothing hurts a book of which few can fathom the
depths so much as a plain blunder or two on the surface. Secondly, because
the reviews either passed over these errors or treated them too gently,
rather implying their existence than exposing them. Thirdly, because they
strongly illustrate the melancholy truth, that no one knows enough to write
about what he does not know. The distinctness of the errors is a merit; it
proceeds from the clear-headedness of the author. The suppression in the
journals may be due partly to admiration of the talent and energy which
lived two difficult lives at once, partly to respect for high position in
public affairs, partly to some of the critics being themselves men of
learning only, unable to detect the errors. But we know that action and
reaction are equal and contrary. If our generation take no notice of
defects, and allow them to go down undetected among merits, the next
generation will discover them, will perhaps believe us incapable of
detecting them, at least will pronounce our judgment good for nothing, and
will form an {164} opinion in which the merits will be underrated: so it
has been, is, and will be. The best thing that can be done for the memory
of the author is to remove the unsound part that the remainder may thrive.
The errors do not affect the work; they occur in passages which might very
well have been omitted: and I consider that, in making them conspicuous, I
am but cutting away a deleterious fungus from a noble tree.
(P. 154). The periodic times of the five planets were stated by
Eudoxus,[286] as we learn from Simplicius;[287] the following is his
statement, to which the true times are subjoined, for the sake of
comparison:
STATEMENT OF EUDOXUS TRUE TIME
Mercury 1 year -- 87d. 23h.
Venus 1 " -- 224d. 16h.
Mars 2 " 1y. 321d. 23h.
Jupiter 12 " 11y. 315d. 14h.
Saturn 30 " 29y. 174d. 1h.
Public-domain text, read in full here on John Shaqi.
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