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[page 138, continued:]
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To electricity — so, for the present, continuing
to call it — we may not be wrong in referring the various
physical
appearances of light, heat, and magnetism; but far less shall we be
liable
to err in attributing to this strictly spiritual principle the more
important
phenomena of vitality, consciousness, and Thought. On this
topic,
however, I need pause here merely to suggest that these
phenomena,
whether observed generally or in detail, seem to proceed at least
in
the ratio of the heterogeneous.
Discarding now the two equivocal terms,
“gravitation”
and “electricity,” let us adopt the more definite expressions, “Attraction”
and “Repulsion.” The former is the body, the latter the
soul;
the one is the material, the other the spiritual, principle of the
Universe. No other principles exist. All
phenomena are
referable
to one, or to the other, or to both combined. So rigorously is this the
case, so thoroughly demonstrable is it that Attraction and Repulsion
are
the sole properties through which we [page 139:]
perceive the Universe — in other words, by which Matter is manifested
to
Mind — that, for all merely argumentative purposes, we are fully
justified
in assuming that Matter exists only as Attraction and Repulsion
— that Attraction and Repulsion are matter; there being no
conceivable
case in which we may not employ the term “Matter” and the terms
“Attraction”
and “Repulsion,” taken together, as equivalent, and therefore
convertible,
expressions in Logic.
I said, just now, that what I have described as
the
tendency of the diffused atoms to return into their original Unity,
would
be understood as the principle of the Newtonian law of Gravity; and, in
fact, there can be but little difficulty in such an understanding, if
we
look at the Newtonian Gravity in a merely general view, as a force
impelling
Matter to seek Matter; that is to say, when we pay no attention to the
known modus operandi of the Newtonian force. The general
coincidence
satisfies us; but, on looking closely, we see, in detail, much that
appears incoincident, and much in regard to which no
coincidence, at
least,
is established. For example: the Newtonian Gravity, when we think
of it in certain moods, does not seem to be a tendency to oneness
at all, but rather a tendency of all bodies in all directions — a
phrase
apparently expressive of a tendency to diffusion. Here, then, is an incoincidence.
Again; when we reflect on the mathematical law governing the
Newtonian
tendency, we see clearly that no coincidence has been made good, in
respect
of the modus operandi, at least, between Gravity as known to
exist
and that seemingly simple and direct tendency which I have assumed.
In fact, I have attained a point at which it will
be advisable to strengthen my position by reversing my processes. So
far,
we have gone on a priori, from an abstract consideration of Simplicity,
as that quality most likely to have characterized the original action
of
God. Let us now see whether the established facts of the Newtonian
Gravitation
may not afford us, a posteriori, some legitimate inductions.
What does the Newtonian law declare? That all
bodies
attract each other with forces proportional with their quantities of
matter
and inversely proportional with the squares of their distances.
Purposely,
I have given, in the first place, the vulgar version of the law; and I
confess that in this, as in most other vulgar versions [page
140:]
of great truths, we find little of a suggestive character. Let us now
adopt
a more philosophical phraseology: — Every atom, of every body,
attracts
every other atom, both of its own and of every other body, with a force
which varies inversely as the squares of the distances between the
attracting
and attracted atom. Here, indeed, a flood of suggestion bursts upon
the mind.
But let us see distinctly what it was that Newton proved
— according to the grossly irrational
definitions of proof
prescribed by the metaphysical schools. He was forced to content
himself
with showing how thoroughly the motions of an imaginary Universe,
composed
of attracting and attracted atoms obedient to the law he announced,
coincide
with those of the actually existing Universe so far as it comes under
our
observation. This was the amount of his demonstration; that is
to
say, this was the amount of it, according to the conventional cant of
the
“philosophies.” His successors added proof multiplied by proof — such
proof
as a sound intellect admits — but the demonstration of the law
itself,
persist the metaphysicians, had not been strengthened in any degree. “Ocular,
physical proof,” however, of Attraction, here upon Earth, in
accordance
with the Newtonian theory, was at length, much to the satisfaction of
some
intellectual grovellers, afforded. This proof arose collaterally and
incidentally
(as nearly all important truths have arisen) out of an attempt to
ascertain
the mean density of the Earth. In the famous Maskelyne, Cavendish and
Bailly
experiments for this purpose, the attraction of the mass of a mountain
<Schehallien in Wales.> was seen, felt, measured, and
found to
be mathematically consistent with the theory of the British astronomer.
But in spite of this confirmation of that which
needed
none, in spite of the so-called corroboration of the “theory” by the
so-called
“ocular and physical proof,” in spite of the character of this
corroboration,
the ideas which even really philosophical men cannot help imbibing of
Gravity
— and, especially, the ideas of it which ordinary men get and
contentedly
maintain — are seen to have been derived, for the most part, from a
consideration
of the principle as they find it developed merely in the planet
upon
which they stand.
Now, to what does so partial a consideration tend
— to what species of error does it give rise? On the Earth we see
and feel [page 141:] only that Gravity
impels
all bodies towards the centre of the Earth. No man in the
common
walks of life could be made to see or feel anything else —
could
be made to perceive that anything, anywhere, has a perpetual,
gravitating
tendency in any other direction than to the centre of the
Earth;
yet (with an exception hereafter to be specified) it is a fact that
every
earthly thing (not to speak now of every heavenly thing) has a tendency
not only to the Earth’s centre but in every conceivable
direction
besides.
Now, although the philosophic cannot be said to err
with the vulgar in this matter, they nevertheless permit themselves
to be influenced, without knowing it, by the sentiment of the
vulgar
idea. “Although the Pagan fables are not believed,” says Bryant,
in his very erudite “Mythology,” “yet we forget ourselves continually,
and make inferences from them as from existing realities.” I mean to
assert
that the merely sensitive perception of Gravity, as we
experience
it on Earth, beguiles mankind into the fancy of concentralization
or especiality respecting it — has been continually biasing
towards
this fancy even the mightiest intellects — perpetually, although
imperceptibly,
leading them away from the real characteristics of the principle; thus
preventing them, up to this date, from ever getting a glimpse of that
vital
truth which lies in a diametrically opposite direction — behind the
principle’s essential characteristics — those, not of
concentralization
or especiality, but of universality and diffusion. This
“vital
truth” is Unity as the source of the phenomenon.
Let me now repeat the definition of Gravity: — Every
atom, of every body, attracts every other atom, both of its own and of
every other body, with a force which varies inversely as the
squares
of the distances of the attracting and attracted atom.
Here let the reader pause with me, for a moment,
in contemplation of the miraculous, of the ineffable, of the altogether
unimaginable, complexity of relation involved in the fact that each
atom attracts every other atom; involved merely in this
fact
of the Attraction, without reference to the law or mode in which the
Attraction
is manifested; involved merely in the fact that each atom
attracts
every other atom at all, in a wilderness of atoms so numerous
that
those which go to the composition of a cannon-ball exceed, [page
142:] probably, in mere point of number, all the stars which
go to the constitution of the Universe.
Had we discovered, simply, that each atom tends
to
some one point, a favorite with all, we should still have fallen upon a
discovery which, in itself, would have sufficed to overwhelm the mind;
but what is it that we are actually called on to comprehend? That each
atom attracts — sympathizes with the most delicate movements of every
other
atom, and with each and with all at the same time, and forever, and
according
to a determinate law of which the complexity, even considered by itself
solely, is utterly beyond the grasp of the imagination. If I propose to
ascertain the influence of one mote in a sunbeam on its neighboring
mote,
I cannot accomplish my purpose without first counting and weighing all
the atoms in the Universe, and defining the precise positions of all at
one particular moment. If I venture to displace, by even the billionth
part of an inch, the microscopical speck of dust which lies now upon
the
point of my finger, what is the character of that act upon which I have
adventured? I have done a deed which shakes the Moon in her path, which
causes the Sun to be no longer the Sun, and which alters forever the
destiny
of the multitudinous myriads of stars that roll and glow in the
majestic
presence of their Creator.
These ideas — conceptions such as these
— unthoughtlike thoughts — soul-reveries rather than conclusions or
even
considerations of the intellect — ideas, I repeat, such as these, are
such
as we can alone hope profitably to entertain in any effort at grasping
the great principle, Attraction.
But now, with such ideas, with such a vision
of the marvellous complexity of Attraction fairly in his mind, let any
person competent of thought on such topics as these, set himself to the
task of imagining a principle for the phenomena observed — a
condition
from which they sprang.
Does not so evident a brotherhood among the atoms
point to a common parentage? Does not a sympathy so omniprevalent, so
ineradicable,
and so thoroughly irrespective, suggest a common paternity as its
source?
Does not one extreme impel the reason to the other? Does not the
infinitude
of division refer to the [page 143:] utterness of
individuality?
Does not the entireness of the complex hint at the perfection of the
simple?
It is not that the atoms, as we see them, are divided, or that
they
are complex in their relations — but that they are inconceivably
divided
and unutterably complex; it is the extremeness of the conditions to
which
I now allude, rather than to the conditions themselves. In a word, is
it
not because the atoms were, at some remote epoch of time, even more
than together — is it not because originally, and therefore
normally,
they were One — that now, in all circumstances, at all points,
in
all directions, by all modes of approach, in all relations and through
all conditions, they struggle back to this absolutely, this
irrelatively,
this unconditionally One?
Some person may here demand: — “Why — since it is
to the One that the atoms struggle back — do we not find and
define
Attraction as 'merely a general tendency to a centre'? — why, in
especial,
do not your atoms, the atoms which you describe as having been
radiated
from a centre, proceed at once, rectilinearly, back to the central
point
of their origin?”
I reply that they do; as will be
distinctly
shown; but that the cause of their so doing is quite irrespective of
the
centre as such. They all tend rectilinearly towards a centre,
because
of the sphereicity with which they have been radiated into space. Each
atom, forming one of a generally uniform globe of atoms, finds more
atoms
in the direction of the centre, of course, than in any other, and in
that
direction, therefore, is impelled — but is not thus impelled
because
the centre is the point of its origin. It is not to any point
that the atoms are allied. It is not any locality, either in
the
concrete or in the abstract, to which I suppose them bound. Nothing like
location was conceived as their origin. Their source lies in the
principle, Unity. This is their lost parent. This
they
seek always — immediately — in all directions — wherever it is even
partially
to be found; thus appeasing, in some measure, the ineradicable
tendency,
while on the way to its absolute satisfaction in the end. It follows
from
all this, that any principle which shall be adequate to account for the
law, or modus operandi, of the
attractive force in
general, will account for this law in particular; — that is to say, any
principle which will show why the atoms [page 144:]
should tend to their general centre of radiation with forces
inversely
proportional with the squares of the distances will be admitted as
satisfactorily
accounting, at the same time, for the tendency, according to the same
law,
of these atoms each to each; — for the tendency to the centre is
merely the tendency each to each, and not any tendency
to a centre
as such. Thus it will be seen, also, that the establishment of my
propositions
would involve no necessity of modification in the terms
of
the Newtonian definition of Gravity, which declares that each atom
attracts
each other atom and so forth, and declares this merely; but (always
under
the supposition that what I propose be, in the end, admitted) it seems
clear that some error might occasionally be avoided, in the future
processes
of Science, were a more ample phraseology adopted; for instance: —
“Each
atom tends to every other atom, etc., with a force, etc.; the
general
result being a tendency of all, with a similar force, to a general
centre.”
The reversal of our processes has thus brought us
to an identical result; but while in the one process Intuition
was
the starting-point, in the other it was the goal. In commencing the
former
journey I could only say that, with an irresistable Intuition, I felt
Simplicity to have been the characteristic of the original action of
God;
— in ending the latter I can only declare that, with an irresistible
Intuition,
I perceive Unity to have been the source of the observed phenomena of
the
Newtonian Gravity. Thus, according to the schools, I prove
nothing.
So be it; — I design but to suggest, and to convince through
the
suggestion. I am proudly aware that there exist many of the most
profound
and cautiously discriminative intellects which cannot help
being
abundantly content with my — suggestions. To these intellects — as to
my
own — there is no mathematical demonstration which could bring
the
least additional true proof of the great Truth which I
have
advanced, the truth of Original Unity as the source, as the
principle,
of the Universal Phenomena. For my part I am not sure that I speak
and see — I am not so sure that my heart beats and that my soul lives;
of the rising of to-morrow’s sun — a probability that as yet lies in
the
Future; I do not pretend to be one thousandth part as sure, as I am of
the irretrievably bygone [page 145:] Fact
that
All Things and All Thoughts of Things, with all their ineffable
Multiplicity
of Relation, sprang at once into being from the primordial and
irrelative One.
Referring to the Newtonian Gravity, Dr. Nichol,
the
eloquent author of “The Architecture of the Heavens,” says: — “In truth
we have no reason to suppose this great Law, as now revealed, to be the
ultimate or simplest, and therefore the universal and
all-comprehensive,
form of a great Ordinance. The mode in which its intensity diminishes
with
the element of distance has not the aspect of an ultimate principle;
which always assumes the simplicity and self-evidence of those axioms
which
constitute the basis of Geometry.”
Now, it is quite true that “ultimate principles,”
in the common understanding of the words, always assume the simplicity
of geometrical axioms — (as for “self-evidence,” there is no such
thing)
— but these principles are clearly not “ultimate;” in other
terms,
what we are in the habit of calling principles are no principles,
properly
speaking, since there can be but one principle, the Volition of
God. We have no right to assume, then, from what we observe in rules
that
we choose foolishly to name “principles,” anything at all in respect to
the characteristics of a principle proper. The “ultimate principles” of
which Dr. Nichol speaks as having geometrical simplicity may and do
have
this geometrical turn, as being part and parcel of a vast geometrical
system,
and thus a system of simplicity itself; in which, nevertheless, the
truly ultimate principle is, as we know, the consummation
of
the complex — that is to say, of the unintelligible — for is it not the
Spiritual Capacity of God?
I quoted Dr. Nichol’s remark, however, not so
much
to question its philosophy, as by way of calling attention to the fact
that while all men have admitted some principle as existing
behind
the law of Gravity, no attempt has been yet made to point out what this
principle in particular is; — if we except, perhaps, occasional
fantastic efforts at referring it to Magnetism, or Mesmerism, or
Swedenborgianism,
or Transcendentalism, or some other equally delicious ism, of
the same species, and invariably patronized by one and the same species
of people. The great mind of Newton, while boldly grasping the Law
itself,
shrank from the principle of [page 146:] the Law.
The
more fluent and comprehensive at least, if not the more patient and
profound,
sagacity of Laplace had not the courage to attack it. But hesitation on
the part of these two astronomers it is, perhaps, not so very difficult
to understand. They, as well as all the first class of mathematicians,
were mathematicians solely; their intellect at least had a
firmly-pronounced
mathematico-physical tone. What lay not distinctly within the domain of
Physics, or of Mathematics, seemed to them either Non-Entity or Shadow.
Nevertheless, we may well wonder that Leibnitz, who was a marked
exception
to the general rule in these respects, and whose mental temperament was
a singular admixture of the mathematical with the physico-metaphysical,
did not at once investigate and establish the point at issue. Either
Newton
or Laplace, seeking a principle and discovering none physical,
would
have rested contentedly in the conclusion that there was absolutely
none;
but it is almost impossible to fancy, of Leibnitz, that, having
exhausted
in his search the physical dominions, he would not have stepped at
once,
boldly and hopefully, amid his old familiar haunts in the kingdom of
Metaphysics.
Here, indeed, it is clear that he must have adventured in
search
of the treasure; that he did not find it after all, was, perhaps,
because
his fairy guide, Imagination, was not sufficiently well-grown, or
well-educated,
to direct him aright.
I observed, just now, that, in fact, there had
been
certain vague attempts at referring Gravity to some very uncertain isms.
These attempts, however, although considered bold, and justly so
considered,
looked no farther than to the generality — the merest generality — of
the
Newtonian Law. Its modus operandi has never, to my knowledge,
been
approached in the way of an effort at explanation. It is, therefore,
with
no unwarranted fear of being taken for a madman at the outset, and
before
I can bring my propositions fairly to the eye of those who alone are
competent
to decide on them, that I here declare the modus operandi of
the
Law of Gravity to be an exceedingly simple and perfectly explicable
thing
— that is to say, when we make our advances towards it in just
gradations
and in the true direction — when we regard it from the proper point of
view.
Whether we reach the idea of absolute Unity as
the source of [page 147:] All Things, from a
consideration
of Simplicity as the most probable characteristic of the original
action
of God; whether we arrive at it from an inspection of the universality
of relation in the gravitating phenomena; or whether we attain it as a
result of the mutual corroboration afforded by both processes; — still,
the idea itself, if entertained at all, is entertained in inseparable
connection
with another idea — that of the condition of the Universe of Stars as
we now perceive it — that is to say, a condition of
immeasurable diffusion
through space. Now, a connection between these two ideas — unity and
diffusion
— cannot be established unless through the entertainment of a third
idea,
that of radiation. Absolute Unity being taken as a centre, then
the existing Universe of Stars is the result of radiation from
that
centre.
Now, the laws of radiation are known.
They
are part and parcel of the sphere. They belong to the class of
indisputable
geometrical properties. We say of them, “they are true — they are
evident.”
To demand why they are true, would be to demand why the axioms
are
true upon which their demonstration is based. Nothing is
demonstrable,
strictly speaking; but if anything be, then the
properties
— the laws in question, are demonstrated.
But these laws — what do they declare? Radiation
— how — by what steps does it proceed outwardly from a centre?
From a luminous centre, Light
issues
by radiation; and the quantities of light received upon any given
plane,
supposed to be shifting its position so as to be now nearer the centre
and now farther from it, will be diminished in the same proportion as
the
squares of the distances of the plane from the lumimous body are
increased;
and will be increased in the same proportion as these squares are
diminished.
The expression of the law may be thus
generalized:
— the number of light-particles (or, if the phrase be preferred, the
number
of light-impressions) received upon the shifting plane will be inversely
proportional with the squares of the distances of the plane.
Generalizing
yet again, we may say that the diffusion — the scattering — the
irradiation,
in a word — is directly proportional with the squares of the
distances.
For example: at the distance B, from the luminous
centre A, a certain number of particles are so diffused as to occupy
the
surface [page 148:] B. Then at double the distance
— that is to say at C — they will be so much farther diffused as to
occupy
four such surfaces:
— at treble the distance, or at D, they will be so much farther
separated
as to occupy nine such surfaces; while, at quadruple the distance, or
at
E, they will have become so scattered as to spread themselves over
sixteen
such surfaces — and so on forever.
In saying, generally, that the radiation proceeds
in direct proportion with the squares of the distances, we use the term
radiation to express the degree of the diffusion as we proceed
outwardly
from the centre. Conversing the idea, and employing the word
“concentralization,”
to express the degree of the drawing together as we come back
toward
the centre from an outward position, we may say that concentralization
proceeds inversely as the squares of the distances. In other
words,
we have reached the conclusion that, on the hypothesis that matter was
originally radiated from a centre, and is now returning to it, the
concentralization,
in the return, proceeds exactly as we know the force of gravitation
to proceed.
Now here, if we could be permitted to assume that
concentralization exactly represents the force of the tendency to
the
centre — that the one is exactly proportional with the other, and
that
the two proceed together — we should have shown all that is required.
The
sole difficulty existing, then, is to establish a direct proportion
between
“concentralization” and the force of concentralization; and
this
is done, of course, if we establish such proportion between “radiation”
and the force of radiation.
A very slight inspection of the Heavens assures
us
that the stars have a certain general uniformity, equability, or
equidistance,
of distribution through that region of space in which, collectively, [page
149:] and in a roughly globular form, they are situated;
this
species of very general, rather than absolute, equability, being in
full
keeping with my deduction of inequidistance, within certain limits,
among
the originally diffused atoms, as a corollary from the evident design
of
infinite complexity of relation out of irrelation. I started, it will
be
remembered, with the idea of a generally uniform but particularly ununiform
distribution of the atoms; an idea, I repeat, which an inspection of
the
stars, as they exist, confirms.
But even in the merely general equability of
distribution,
as regards the atoms, there appears a difficulty which, no doubt, has
already
suggested itself to those among my readers who have borne in mind that
I suppose this equability of distribution effected through radiation
from a centre. The very first glance at the idea, radiation, forces
us to the entertainment of the hitherto unseparated and seemingly
inseparable
idea of agglomeration about a centre, with dispersion as we recede from
it — the idea, in a word, of inequability of distribution in
respect
to the matter irradiated.
Now, I have elsewhere*
observed that it is by
just
such difficulties as the one now in question — such peculiarities, such
roughnesses, such protuberances above the plane of the ordinary — that
Reason feels her way, if at all, in her search for the True. By the
difficulty
— the “peculiarity” — now presented, I leap at once to the secret;
a secret which I might never have attained but for the
peculiarity
and the inferences which, in its mere character of peculiarity,
it affords me. |
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