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
Arithmetica et Geometria practica. By Adrian Metius. Leyden, 1640,
4to.[168]
This book contains the celebrated approximation _guessed at_ by his father,
Peter Metius,[169] namely that the diameter is {100} to the circumference
as 113 to 355. The error is at the rate of about a foot in 2,000 miles.
Peter Metius, having his attention called to the subject by the false
quadrature of Duchesne, found that the ratio lay between 333/106 and
377/120. He then took the liberty of taking the mean of both numerators and
denominators, giving 355/113. He had no right to presume that this mean was
better than either of the extremes; nor does it appear positively that he
did so. He published nothing; but his son Adrian,[170] when Van Ceulen's
work showed how near his father's result came to the truth, first made it
known in the work above. (See _Eng. Cyclop._, art. "Quadrature.")
ON INHABITABLE PLANETS.
A discourse concerning a new world and another planet, in two books.
London, 1640, 8vo.[171]
Cosmotheoros: or conjectures concerning the planetary worlds and their
inhabitants. Written in Latin, by Christianus Huyghens. This
translation was first published in 1698. Glasgow, 1757, 8vo. [The
original is also of 1698.][172]
The first work is by Bishop Wilkins, being the third edition, [first in
1638] of the first book, "That the Moon may be a Planet"; and the first
edition of the second work, {101} "That the Earth may be a Planet." [See
more under the reprint of 1802.] Whether other planets be inhabited or not,
that is, crowded with organisations some of them having consciousness, is
not for me to decide; but I should be much surprised if, on going to one of
them, I should find it otherwise. The whole dispute tacitly assumes that,
if the stars and planets be inhabited, it must be by things of which we can
form some idea. But for aught we know, what number of such bodies there
are, so many organisms may there be, of which we have no way of thinking
nor of speaking. This is seldom remembered. In like manner it is usually
forgotten that the _matter_ of other planets may be of different chemistry
from ours. There may be no oxygen and hydrogen in Jupiter, which may have
_gens_ of its own.[173] But this must not be said: it would limit the
omniscience of the _a priori_ school of physical inquirers, the larger half
of the whole, and would be very _unphilosophical_. Nine-tenths of my best
paradoxers come out from among this larger half, because they are just a
little more than of it at their entrance.
There was a discussion on the subject some years ago, which began with
The plurality of worlds: an Essay. London, 1853, 8vo. [By Dr. Wm.
Whewell, Master of Trinity College, Cambridge]. A dialogue on the
plurality of worlds, being a supplement to the Essay on that subject.
[First found in the second edition, 1854; removed to the end in
subsequent editions, and separate copies issued.][174]
Public-domain text, read in full here on John Shaqi.
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