SWEDENBORG’S MATHEMATICAL, MECHANICAL AND ASTRONOMICAL INVESTIGATIONS.

_Mathematics_, especially geometry, algebra and mechanics, and

_astronomy_ in particular, were the predominating interests with

SWEDENBORG, when, after having completed his university studies, he

entered upon his first foreign journey (1710). He had at that time the

good fortune to come into personal contact with (ISAAC NEWTON?),[13] JOHN

FLAMSTEED[14] and EDMUND HALLEY[15] in England, and with the renowned

mathematicians PHILIPPE DE LA HIRE and PIERRE VARRIGNON[16] in France,

and to enter into an interchange of scientific ideas with them. And

the impulses derived from teachers of such great insight and skill did

not take long in manifesting themselves. In 1714 SWEDENBORG was able

to send home accounts of a great many _mechanical inventions_ which

he had made and the ›correctness of which he proved by mathematical

and algebraical calculations.›[17] As examples of these discoveries

may be mentioned his flying machine,[18] submarine boat, steam engine,

mitrailleuse, sluice constructions, etc.[17] After his return to Sweden

he found opportunities of putting into practice some of these projects,

when (in 1716) he was appointed assessor extraordinary in the College of

Mines and ordered to assist CHR. POLHEM ›with the construction of his

buildings and inventions›. But he was rich in ideas and quick-witted

enough to be able, together with these official duties, to plan and set

on foot the publication of a periodical devoted to natural science,

›_Daedalus Hyperboreus_›, the first scientific periodical in Sweden,

and to furnish it abundantly (during the years 1716-1718) with valuable

articles concerning new inventions, _projects and problems for scientific

investigations and experiments_.[19] In the year 1718 he has completed

a new method of reckoning with the number 8 as the base; and the

following year he publishes a still better ›Proposal to divide our money

and measures, so that the calculation would be easy and all fractions

be abolished›, and this system is nothing less than the _Decimal

system_![20] He also published during these years an ingenious method of

determining the longitude by means of the moon, a problem upon which the

learned had at that time been engaged for several years.[21]

SWEDENBORG thus succeeded in penetrating very deeply into the

mathematical and mechanical sciences, and therefore at first it must

arouse astonishment that he did not accept the professor’s chair in

mathematics at Uppsala University when this was offered him. He wished

for freedom to study in other departments also. And, as we shall see, he

soon turned his interest in another direction, namely to geology.

However, it was also a characteristic in SWEDENBORG, worthy of

admiration, that in spite of his deep penetration into the sciences and

the bold ideas of his creative genius, he nevertheless strove, at the

same time, to retain contact with practical life and there cause the

results of his investigations to bear fruit. It was also this purpose

which to a great extent influenced him not to accept the offered

professorship in mathematics, which he feared would force him into a

direction too theoretical. In this respect there were, as some of his

biographers have shown, several points of similarity between SWEDENBORG

and his patron, King Charles XII., namely, ›the unusual combination of

the boldest imagination and a pronounced practical tendency›.[22] And

as both were animated by the same ›burning inclination for all that is

great in thought and deed›, and by the same love of the fatherland,

therefore, when these two men found one another, there was an interesting

cooperation. Professor HOLMQUIST has given a very good description of

this in his essay alluded to above, from which I shall here reproduce

some extracts:

— — — ›But SWEDENBORG had also in the course of his conversation with

Charles XII. advanced several new proposals which won, in part, the

King’s approval. SWEDENBORG suggested the establishment of a company to

promote the exportation of Swedish iron and tar (a suggestion later put

into practice by the Iron Office), set forth his plan for an observatory

in Uppsala and brought up for discussion the establishment of salt works

in Sweden in order to help his country against the terrible dearth of

salt during the war: all these ideas he also committed to writing in

pamphlets: ’_Om sättet för handelns och manufacturernas uphjelpande_’,

’_Memorial om Salt Siuderiers inrettning i Swerje_’ and ’_Om nyttan och

nödvändigheten af ett Observatorii inrättande i Sverige_’ (preserved

in manuscript in the Diocesan Library of Linköping).[23] Of the ideas

just mentioned, it was in the first place the one on salt boileries

which claimed the King’s attention and which he commissioned SWEDENBORG

to put into practice. It still remains, however, to mention the most

remarkable of SWEDENBORG’s projects. Through ERIC BENZELIUS he had

come into possession of an old letter of Bishop HANS BRASK, in which

the idea of a water way from the western coast straight across Sweden

is expressed. SWEDENBORG, inspired by this, laid before the King the

_suggestion for a canal from Göteborg through Lakes Vänern and Vättern

to the Baltic_, which aroused the King’s enthusiasm. SWEDENBORG was

commissioned to investigate the possibilities for the realization of this

gigantic undertaking. — — — Shortly after this we find him in Uddevalla

investigating the possibility of establishing salt-works, in connection

with which SWEDENBORG at once set out to construct salt-pans and other

apparatus better than those in use in the defective old salt-works at

Strömstad. — — — We afterwards find him again at Trollhättan, Vänern,

Gullspång and Hjälmaren examining the situation for the canal and locks

and finding ’all to be possible and not of such great expense as had been

supposed’. SWEDENBORG had passed over to the modern idea of an inland

canal through Hjälmaren and Mälaren directly to Stockholm.› With justice

it may be said that here he gives the impression of a very sharpsighted

and energetic engineer, who possessed the power of turning his thorough

theoretical education to practical use.

It may thus be clearly perceived, from everything I have referred

to above, how comprehensive and penetrating were the researches of

SWEDENBORG in the mathematical (and especially the mechanical) branches

of science, and what fruitful discoveries had been made by his searching

eye.

SWEDENBORG’S GEOLOGICAL, MINERALOGICAL, CHEMICAL, PHYSICAL AND

COSMOLOGICAL INVESTIGATIONS.

SWEDENBORG’s comprehensive interest now turned itself to new fields of

work: to _geology_, _mineralogy_, _chemistry_, _physics_ and finally to

_cosmology_, without giving up his first subject, _mathematics_.

And he also now exhibited the same thoroughness as before, beginning

with examinations, experiments and observations, partly original, but

also collected from predecessors. For he says: ›It seems to me that an

infinite mass of completed experiments is a good ground to build upon, to

make the trouble and expense of others serve one’s end; that is to work

with the head over that which others have worked over with the hands.›

(See HOLMQUIST, Op. cit. and the letter from SWEDENBORG to ERIC BENZELIUS

of May 2nd, 1720, in the edition of the Acad. of Sciences, I., p. 304).

The result of this period of labour SWEDENBORG embodied in a number of

works, among which may especially be mentioned: ›_On the Height of Water

and the Strong Tides in the Primeval World. Proofs from Sweden._›[24]

SWEDENBORG here furnishes proofs that our North, in olden times, lay

for the most part under deep water. And he based his deductions on a

great many researches and sharpsighted observations, and wherever it

was possible he tested the correctness of his conclusions by means of

experiments. This is the work which J. J. BERZELIUS, A. E. NORDENSKIÖLD

and A. G. NATHORST have praised so highly, and in some places it has

been considered to be ›one of the most ingenious contributions to the

history of geology›. SWEDENBORG also worked out during this period the

great work: ›_Miscellanea observata circa res naturales et praesertim

circa mineralia, ignem et montium strata_›, (printed in Leipzig 1722 and

lately reprinted in the edition of SWEDENBORG’s scientific writings of

the Royal Academy of Sciences, Vol. I., 1907, pp. 59-191), and finally

the gigantic work: ›_Opera philosophica et mineralia_›, (published in

Dresden and Leipzig, 1734, in three large folio volumes). The last work

contains among other things SWEDENBORG’s cosmology, and it is here that

he developes his famous _nebular theory_, which so closely reminds one

of the theory worked out in later years by Kant and Laplace, that one

strongly suspects that SWEDENBORG’s utterances, in one way or another,

lie at the bottom of it. Concerning this work much has been written

during recent years, and therefore it may be sufficient here only to

refer to the statements made in regard to it by Professor S. ARRHENIUS in

his introduction to the above-mentioned edition of Swedenborg’s writings,

Vol. II., where he says: ›If we briefly summarize the ideas, which were

first given expression to by SWEDENBORG, and afterwards, although usually

in a much modified form,—consciously or unconsciously—taken up by other

authors in cosmology, we find them to be the following:

The planets of our solar system originate from the solar

matter—taken up by BUFFON, KANT, LAPLACE, and others.

The earth—and the other planets—have gradually removed

themselves from the sun and received a gradually lengthened

time of revolution—a view again expressed by G. H. DARWIN.

The earth’s time of rotation, that is to say, the day’s length,

has been gradually increased—a view again expressed by G. H.

DARWIN.

The suns are arranged around the milky way—taken up by WRIGHT,

KANT and LAMBERT.

There are still greater systems, in which the milky ways are

arranged—taken up by LAMBERT.›

During this period of his investigations SWEDENBORG enters into very

deep speculations. He desires to grasp the innermost constitution of

things, their causes and origin, and seeks to attain this end through

a long process of analyses and by applying a geometrical explanation

to the phenomena in the world of the senses. This method he employs

in explaining the inner constitution of chemical bodies, and likewise

the varieties of physical phenomena, etc. He thus comes at last to

the—geometrical points: through the combination of these, in different

ways, have all things of the universe originated in a mathematically

definable manner; and the motion of these points is the all connecting,

life-giving power.[25]

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