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
"The recorded story is that Michael Scott, being bound by contract to
produce perpetual employment for a number of young demons, was worried out
of his life in inventing jobs for them, until at last he set them to make
ropes out of sea sand, which they never could do. We have obtained a very
curious correspondence between the wizard Michael and his demon-slaves; but
we do not feel at liberty to say how it came into our hands. We much regret
that we did not receive it in time for the British Association. It appears
that the story, true as far as it goes, was never finished. The demons
easily conquered the rope difficulty, by the simple process of making the
sand into glass, and spinning the glass into thread, which they twisted.
Michael, thoroughly disconcerted, hit upon the plan of setting some to {40}
square the circle, others to find the perpetual motion, etc. He commanded
each of them to transmigrate from one human body into another, until their
tasks were done. This explains the whole succession of cyclometers, and all
the heroes of the Budget. Some of this correspondence is very recent; it is
much blotted, and we are not quite sure of its meaning: it is full of
figurative allusions to driving something illegible down a steep into the
sea. It looks like a humble petition to be allowed some diversion in the
intervals of transmigration; and the answer is--
Rumpat et serpens iter institutum,[19]
--a line of Horace, which the demons interpret as a direction to come
athwart the proceedings of the Institute by a sly trick. Until we saw this,
we were suspicious of M. Libri,[20] the unvarying blunders of the
correspondence look like knowledge. To be always out of the road requires a
map: genuine ignorance occasionally lapses into truth. We thought it
possible M. Libri might have played the trick to show how easily the French
are deceived; but with our present information, our minds are at rest on
the subject. We see M. Chasles does not like to avow the real source of
information: he will not confess himself a spiritualist."
PHILO OF GADARA.
Philo of Gadara[21] is asserted by Montucla,[22] on the {41} authority of
Eutocius,[23] the commentator on Archimedes, to have squared the circle
within the _ten-thousandth_ part of a unit, that is, to _four_ places of
decimals. A modern classical dictionary represents it as done by Philo to
_ten thousand_ places of decimals. Lacroix comments on Montucla to the
effect that _myriad_ (in Greek _ten thousand_) is here used as we use it,
vaguely, for an immense number. On looking into Eutocius, I find that not
one definite word is said about the extent to which Philo carried the
matter. I give a translation of the passage:
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account