NOTE ON THE PLURALITY OF WORLDS AND THE FIVE REGULAR SOLIDS

The opinion that our World, or universe, is not the only one in the

Whole, is attributed, in general terms, to many of the early Greek

philosophers, notably to Anaximander. The exact meaning of a ‘Cosmos’,

in this connexion, is perhaps not easy to fix. Aristotle is clear that

the circle of the fixed stars is one and constant, but the author of the

Stoical treatise on the Cosmos, found among his works, takes stars to be

a part of the (one) Cosmos. An earth, such as ours with her atmosphere

and moon, is essential, and a sun, or access to sunlight, and perhaps

some planets. In the _Dream of Scipio_ our solar system, with the earth

in its centre, is described with great distinctness as a unit in space.

The planets are always regarded as luminous points, stars somewhat out

of place (see p. 268), possessing no definite magnitude or solid

substance.

In theory the number of Cosmi might be infinite, but a shrinking from

the vague ‘Infinity’, in later times associated with the Epicureans, led

Plato, for instance, to restrict the number to a possible five. That he

based this number upon that of the five regular solids may seem

fanciful, but the solid angles and forms observed in crystals might

reasonably suggest the hypothesis that the ultimate constituents of the

crust of the earth would be found in the most perfect solid structures

known to theory. In theory there is much that is attractive in these

five solids. To one coming fresh from a study of Plane Polygonal

Figures, which exist in infinite number, and, when regular, approximate

more and more closely to the Plane Circle, it comes as a surprise to

find that, in the next higher degree, the number of solid bodies so

approximating to the Sphere is five only. Again, it seems almost a

paradox that, of these five, the nearest approximation to the Sphere is

attained, not by the body with twenty fine faces, but by that which

shews only twelve, and those comparatively blunted and unshapely

(pentagons). It was perhaps from such considerations that the

Dodecahedron was held of special importance by the Pythagoreans. Plato’s

study of the several faces of these solids, as available for

construction or reconstruction of a world, leaves nothing to be desired,

assuming that a solid body can be built out of plane figures, an

assumption which appears to belong to the same habit of thought as that

which makes the point the square of unity, and the lineal measure

corresponding to the number two the first rectangle. As the pentagon

defies the analysis available for the equilateral triangle or for the

square, the Dodecahedron remains over, a model or pattern of a

stitch-work world, as viewed from outside (_Phaedo_ 110 B and _Timaeus_

55 C; see also Burnet’s _Early Greek Philosophy_, p. 341 foll.). It may

not be amiss to be reminded that Kepler, mathematician as well as

astronomer, spent many toilsome years in the endeavour to arrange the

members of our solar system upon a plan based on the five solids. ‘If

Kepler went out “to seek his father’s asses”, he found a kingdom, for it

was in the course of these speculations, and through them, that he

discovered not only his own “Third Law”, but also the truth, overlooked

by Copernicus, that the orbit of each planet lies in a plane which

passes through the centre of the sun.’ (Dreyer, _Planetary Systems_, p.

410.)

The discussion of the plurality of worlds, in the modern sense, begins

with the very attractive work of Fontenelle, brought out, in its

original form, in 1686, a year before Newton’s _Principia_, being a

series of conversations between the Author and a witty and accomplished

Marquise, as to the habitability of the several members of the solar

system. The argument which followed is distinguished by many great

names, those of Newton himself, Bentley, Huyghens, the Herschels, Dr.

Chalmers, till it was brought to a head in the middle of the nineteenth

century by Dr. Whewell and Sir David Brewster, writing respectively

against and for the hypothesis. The subject was then one (as readers of

Anthony Trollope will remember) upon which any one might be called upon

to take a side in a London drawing-room. In more recent times interest

has been concentrated upon Mars, who now possesses the distinction of

having two satellites. We are only concerned to invite the reader to

compare the religious argument addressed to the Stoics by Plutarch (p.

142 foll.) with the religious argument drawn by Dr. Chalmers and Sir

David Brewster from the enrichment of the providential scheme for man

upon our earth which would follow the conception of other earths

tenanted by other beings perhaps of a higher order.

But it is natural that any such speculation should begin with the moon,

and in fact we find the question of her habitability discussed by Theon

and by Lamprias (pp. 293-9). With the later treatises on this subject,

beginning with Lucian’s witty flight of fancy, we are not concerned. But

an exception must be made for the very able works of Savinien de Cyrano,

known to us as Cyrano de Bergerac, whose _Histoire comique des États et

Empires de la Lune_ appeared, probably, in 1650, and was followed by a

similar work about the sun. Cyrano appears to be familiar with Plutarch:

thus he meets in the moon the ‘daemon of Socrates’, who has also been

the tutelary spirit of Epaminondas, of Cato of Utica, and of Brutus. The

idea (due in the first place to Heraclitus) of being fed on smells, is

worked out with much vivacity. But with so original and daring a writer,

it is not quite easy to settle how much is due to any hint from others

and how much to himself. A modern reader will not need to be reminded

that Cyrano was not a person of whom it was wise to give an outspoken

opinion in his lifetime. But I had wished to speak with nothing but

respect of a man of real learning and genius, who, from whatever cause,

did not bring to perfection any work worthy of himself.

See, on the general subject, an Essay by the late Professor Henry J. S.

Smith in _Oxford Essays_, 1855.

INDEX

OF PERSONS AND PLACES MENTIONED BY PLUTARCH IN THESE DIALOGUES

¶ In this Index the Greek spelling of ei (Lat. ī) has been usually

retained.

All dates are B. C. unless otherwise stated.

The dates are often approximate and conventional.

Other numerals refer to pages of this volume.

For the speakers in each Dialogue see that Dialogue _passim_ and the

Introductions.

(The ‘Three Pythian Dialogues’ are quoted under that designation See p.

52.)

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