2. Methodology
“We have
demonstrations about the circle, but only conjectures about the
soul; the laws of nature are presented with mathematical rigor,
but nobody applies a comparable diligence to research on the
secrets of thinking. The source of human misery lies in the
fact that man devotes more thought to everything but the
highest good in life ... Whence we have the clandestine atheism
planted in men, the fear of death, doubts about the nature of
the soul, the weakest or at least, vacillating pronouncements
about God, and the fact that many men are honest by habit or
necessity rather than by virtue of their
judgment.” [6]
A rather long
discussion of methodology will be required if a modern reader
is to be expected to make sense out of the arguments and
descriptions that follow. The results I have reached are
nonsensical in terms of generally accepted scientific notions.
But there is a framework in which the results make good sense,
and which provides a clear, logical way for arriving at results
of this kind. So it is the task of this section to describe
this framework, in particular focusing on the methodology I
have followed. In addition, I provide an active defense of it
on two points which grate on moderns: the reliance on authority
(in this case, centrally that of Rudolf Steiner), and taking
supersensible beings without a physical body in the ordinary
sense to be fully real. Finally, I give a brief description of
the logic implicit in my approach, which again is different
from the forms ordinarily accepted. While we have come to
realize the arbitrary character of axiomatic systems since the
discovery of non-Euclidean geometries in the nineteenth
century, we have not yet seen that our notion of axiomatic
systems as a whole is one of several alternatives, each valid
for a particular realm of experience.
2.1
Metaphysical Method
The methodology
employed here is one that has been adapted from a more general
metaphysical method, [7]
that is, from a method designed for and suited to the treatment
of questions concerning the totality of the world, which is
assumed to contain a component above and beyond what is
ordinarily thought of as “matter.” [8]This
is not the place to state the general argument for why the
world does have a non-material component, and thus why there is
a need for a metaphysical method as a more inclusive
replacement of the manifestly simpler materialist
method. [9]
Such questions are in any case generally not settled by means
of arguments, however astute and cogent the arguments may be.
Our powers of reasoning have been so weakened through prolonged
exposure to scientism that we have learned not to trust our
rational faculty whenever a truly important question is at
hand, and thus sacrifice use of the facility which could most
positively settle the issue. So I will simply employ the
broader method, and hope that few will regret the lack of
argument in its defense.
Metaphysical
method starts from the recognition that every person has
(whether as a result of individual striving or unconscious
schooling) an attitude or stance with respect to the world and
the knowledge that can be won from it. In practice, it is
impossible to take a “neutral” stance to the world
while one conducts an exhaustive investigation and inventory of
its contents, reserving all judgment until the full results
have been tabulated. So each of us necessarily adopts some
stance or other usually not even on the basis of partial
information, but as a result of his or her class, culture,
schooling, etc. The materialist method either ignores the
question of stance, or considers it to be inconsequential,
imagining all the “facts” in the world to be of
roughly uniform size and density, and that a determined pursuit
of what it imagines to be objectively existing
“facts” will put them all right in the end.
Metaphysical method, on the other hand, considers the stance
that humans take toward them to be of at least as much
importance as the facts themselves, playing a large role in
establishing or even creating the facts in the first place, and
a determining role in the path a person takes through this
world (i.e., the selection of the tiny portion actually
experienced from the myriad of what might potentially be
experienced).
The main task
of metaphysical method (in this context) is to establish the
“true” attitude towards a given set of facts. There
is room for legitimate disagreement among those who pursue this
method, just as there is among those who work in an accepted
scientific field, and there are also right and wrong answers,
and fruitful and fruitless avenues of investigation.
Metaphysical method maintains that it is out of such stuff as
“attitudes” that the destiny of souls is woven, and
that this is the source of the method's importance.
Now it must be
admitted that attitudes and facts are woven together, and
reflect upon each other. (Modern philosophers of science have
gone so far as to admit that our attitudes affect our
perception of facts. [10]
) This has already been mentioned, and far from being a defect,
is a motivation for taking our attitudes seriously and making a
special study of them.
The drama of a
good detective story provides an illustration of the
relationship between faceless facts and our weighing and
weaving of them into a single web. As the story proceeds, all
the facts on which the final understanding is based are
mentioned, but because they make no sense in the context of the
theory being built up, they are ignored by the reader and by
the story's detective. As each fact is recognized for what it
is, one's understanding of all the other facts shifts and
alters; a wholesale alteration can occur repeatedly in the
course of a single story. The master detective has to pursue
two contradictory courses simultaneously, first, he has to
build up as complete a theory as he can out of the facts at his
disposal and pursue it as though it were certainly true, and
second he has to doubt his theory with unalloyed cynicism,
always looking for facts or perspectives which would cause it
to collapse.
The detective's
attitude is very much like that of a certain kind of scientist,
the kind who can bolster a theory and rip it apart with equal
facility. As one moves along the progression from detective to
scientist to metaphysicist (or spiritual scientist), the range
of facts to be accounted for goes from narrowly limited to as
nearly all-inclusive as possible, and the focus of attention
goes from being largely absorbed with the facts to being
explicitly concerned with the response to the facts, or with
the facts as seen in the broadest context. One starts out
seeing facts as fixed and primary, and ends up seeing them as
flexible and secondary.
It is possible
to imagine that metaphysics is something like a psychology of
scientific discovery. Actually, metaphysics has little to do
with the subject matter of modem psychology, or even with the
supposed “psychic” world that parapsychology
attempts to penetrate. Imagine that a person starts out life a
totally isolated ego, unable to make contact of any kind with
an outer world. Then the person reaches out, and eventually
finds a full, coherent, objective world which fills his
experience. This is what the modern world understands as the
normal condition of an adult human being. Now ask the question:
what has reached? Where and of what is the “arm”
that reached? Because we are ordinarily not aware of the
reaching, and do not think of it, we picture the physical world
as being immediately there, nothing more than sound or light
waves (which are also a part of it) being required to bring it
to us. We relegate the choice of what comes to our awareness to
the psychological notion of “attention.” But in
fact, the physical world which seems so immediate to us is (as
a whole) as distant from us as it is possible for something to
be. The gap between us and the world is filled with living
substance, with a stuff which is a varied mixture of me, us,
not-me, and not-us, any part of which is closer to us and more
real than any part of what we think of as the physical world.
It is this which maintains the distance between subject and
object, and also which keeps them together. It is in this
ultra-real world that our destiny is made into events and
experiences. And this is the world which the metaphysician
studies.
The world which
the metaphysician studies is the unity or oneness in which our
dual or split world has its origin. Since that world is nowhere
to be found here, the researcher must position himself in the
emptiness where it would be if it were here, which is in the
gulf which separates subject and object, and to which our most
immediate access is given by what I have characterized as
“stance.” The modern scientist ordinarily absorbs
himself in the object world, and takes all that his senses
convey to him as being the ground of reality. The world of the
subject he experiences as something present but inessential, an
observer, and a source of generally unreliable commentary. The
critical idealist (of which Kant is the prototype) is aware of
the logical incongruities inherent in this position. He takes
with full seriousness the way we confront the world from within
ourselves and unavoidably impose our theories on our
perceptions, constructing all sorts of notions about the source
of our perceptions, but unable actually to meet or confront
that source directly. The existence of realists and idealists,
each caught in worlds which seem phantom-like to the other,
provides a stark illustration of the subject and object worlds
which are separated from each other by a seemingly unbridgeable
gap. The metaphysician, affirming what is positive in each of
these positions, and taking what is negative as a signpost to
the interworld “emptiness” he seeks, stands
resolutely in both worlds, using the contradictions between
them as the force which sustains him in the emptiness,
rising, until the single creative source of each reveals itself
to him.
This experience
is not a merely subjective experience of mystical unity or
cosmic ecstasy, having no significance in the world of facts or
theoretical understanding. It is like discovering a theory
which has the perceptual thereness and irrefutable permanence
of an observed fact, and at the same time a fact which has the
transparent clarity and connectedness of a penetrating theory.
It is for this reason that metaphysical method requires as a
prerequisite the acquisition of the skills ordinarily valued in
the subjective and objective realms, and in addition certain
religious virtues which provide the actual conduit for the
experiences described here.
2.2 Defense of
the Methodology
A defense of
metaphysical method on every point is too large a task to
attempt here. I have chosen instead to consider in detail two
points of apparent conflict between modern thought and
metaphysical method to illustrate the kinds of defense that can
be made. I have chosen a single type of argument among many as
being appropriate, namely, showing that the differences are not
as great as we think, so that attacks made on this method are
equally appropriate to modern method.
First, the
question of authorities. The contrast we draw between the
present practice and the previous one (which has much in common
with the metaphysical method) is that
“pre-scientific” papers used to establish points by
referring to the revered figures who agreed with the author (a
popularity contest), while now they establish points by a
combination of experimental, data and strict mathematical
reasoning (the test of experience and truth). There are many
ways in which this contrast is misleading and
self-serving.
Many important
points are now established by a modern version of the
popularity contest. An example is the way in which the von
Neumann “disproof” of the hidden variable theory in
quantum mechanics gained broad acceptance in spite of the small
number of people who understood it. Von Neumann's tremendous
prestige as a mathematician, coupled with his extremely long,
abstruse proof, resulted in the nearly immediate acceptance of
the Copenhagen interpretation of quantum mechanics, in spite of
the fact that the proof, as has since been shown., has serious
difficulties. [11]
More
importantly, the scientific system as a whole is something we
accept on authority. We do not go carefully, assuring ourselves
of its validity a step at a time, as we learn to accept
science. We accept it first, and may or may not actually
internalize any of its explicitly held precepts. Most of us are
not educated in science, and even those few of us who become
proficient in some science do so after having first been
thoroughly steeped in an atmosphere in which science is assumed
to be authoritative. Our idea of who or what constitutes
authority has changed, but our reliance on authority as such
certainly has not.
It is
disingenuous to claim that the ancients eschewed experience as
a path of knowledge in favor of authority. They respected
experience so much that they believed haying experience to be a
skill in itself. They took highly skilled
“experiencers” to be like fine Instruments, and put
faith and trust in them just as we do in our machines. We, too,
have our authorities, only they are for the most part not
people; they are machines and logic.
When the
ancients wished to examine physical things, they used their
senses and built instruments to aid them when necessary. But
they were not as concerned with the material world as we are.
To answer most of the questions posed in the books we castigate
as being authority-ridden, we would be unable to construct
physical instruments to aid us. But the ancients knew that
instruments were nonetheless needed, that the naive and
untutored are unlikely to stumble across the answers to deep
and subtle questions. So they subjected talented people to
rigorous training, to make these people into instruments of
(directly seen) knowledge, and listened with respect to what
they reported. What can seem to us as undue reliance on
authorities is often simply proper respect for the sort of
instrument most relevant to the question at hand.
This brings us
to the role of Rudolf Steiner, the primary
“authority” in this case. His role is the same as
the research scientist who presents his findings to a product
development group of a company. The group could not have
arrived at the results themselves, but they are in a position
to test them, and to judge them based on their overall
knowledge of the field and the previous results of the
scientist. In order to do this, they have to know and trust the
scientist's methods — if his previous successes have been
the result only of happy coincidence, there is no reason to
trust the next one. A superstitious person and a scientist
might make the same prediction in a particular case, and our
differing responses depend on our knowledge of the methodology
which led to the result.
But the case of
the spiritual investigator is different from the ordinary
scientist in that his explicit work on himself has transformed
what was simply attitudes towards facts (the attitudes being
subjective and the facts objective) into a whole new world of
facts, just as objective but more real (deeper, more inclusive,
and there) than the usual set. This is the origin as facts of
the supersensible beings which will be mentioned in this book,
and which are treated as are any other fact which one did not
discover on one's own.
Having
considered the question of authority, I will now turn to the
question of occult worlds and unseen beings. What we say is
that people used to project their feelings on nature, and
imagine an animate world hidden behind the inanimate one, while
now we simply investigate the phenomena we find, and construct
testable theories to account for them. But what is so much
better about projecting our thoughts onto phenomena in the way
we suppose the ancients to have projected their feelings? The
whole point of modern science is not to rest content with the
phenomena as experienced, but to “pierce through
them” to the supposed “physical laws” they
express, in other words, to construct a hidden or occult world
which orders the manifest phenomena. The occult nature of
modern physical science has long been recognized; Newton was
attacked by his contemporaries not for his science, but because
of what was seen as the occult nature of the gravitational
force. And we are more content in our occult world than we are
in the supposed primary one; theory now often precedes
observation, rather than following it, and our greatest
scientists put as much or more credence in good theories as
they do in observations. [12]
Once we
recognize the way in which modern science describes a
speculative occult world which lies behind the phenomena we
experience, we can consider the next level of argument. Even if
modern science has a certain occult quality, the argument goes,
it is an occultism which is superior to the old occultism.
Because of science's strict reliance on experimental method, it
obtains better results than the old occultism, and is therefore
to be preferred to it.
Certainly we
have been able to make many measurements and predictions more
accurately than the ancients — but this is in spite of
our “occult” method rather than because of it. We
have won many battles over accurate measurements not because of
superior weapons, but because of having more of them; we have
won by means of the scale of our war machine, not its
efficiency or appropriateness. The history of astronomy,
usually taken to exemplify the triumph of modern science, can
be used to show precisely the opposite: the misrepresentation
of its history incidentally provides evidence of the
disingenuousness and lack of self-consciousness of modem
“occultism.”
The picture we
have is that Ptolemy constructed his arbitrary system of
planetary spheres in a primitive attempt at celestial
mechanics, and had to introduce all sorts of
“fixes” just to make it work at all. [13]
Then along came Copernicus, who advanced the heliocentric view
against a millennium of tradition, because the emerging
scientific mood demanded a theory which fit the facts better
than Ptolemy's. Finally, Kepler saw that orbits were ellipses,
and the modem age was launched.
The real story
is more interesting. It starts with the Babylonians, who
accumulated many centuries of planetary observations, and who
by the third century before Christ determined things like the
period of the Sun to an accuracy not surpassed by modem
astronomy until the nineteenth century, using a purely
empirical theory. [14]
Then, using Babylonian observations, Ptolemy (c. 100 - c. 178)
constructed his theory to “save the
appearances.” [15]
That he needed such a theory shows that modernism was already
at work in him, but he did not reify his concepts, nor did he
introduce elaborate ideal notions into them. Although he
maintained that all motion in the heavens is spherical, he
introduced the equant into his constructions, which made his
circles mathematically equivalent to ellipses.
Copernicus
appeared on the scene in the sixteenth century. He admitted
that he rarely made observations, and stated a prime motivation
to be establishing the planetary orbits as perfect
circles. [16]
Therefore, putting theory ahead of observation he threw out
Ptolemy's ellipse construction, and talked about how the Sun is
“really” the center of our system. Actually, of
course, one can treat either the earth or the Sun as the center
of our system — it is only a question of where one would
prefer (as a matter of convenience) the center of the
coordinate system to be. Copernicus, however, thought this
matter of coordinate systems — which does not affect the
phenomena one way or the other — to be crucially
important. In so doing, he is properly thought to stand at the
beginning of our age, because he took what is not and cannot be
seen and which does not alter phenomena to be more important
than the phenomena themselves. The significance of Kepler is
that he worked within the new “occult” realm and
showed how more elaborate ideas may be used within it; he
improved the efficiency of the method without altering its
quality. [17]
History shows
that, to the extent they cared about what we care about, the
ancients obtained unqualifiedly admirable results, and that
they did so without postulating elaborate worlds which stand
unseen behind the phenomena; we are the occultists, not they.
And if we use “results” as the measurement of
virtue, our method does not stand up as well as theirs, since
we have a commitment to the direct connection between the
occult world and the world of phenomena which the ancients were
not hobbled by. Perhaps that is why they were able to obtain
results more accurate than the accuracy of their observational
tools with such an economy of means.
There are
important differences between the occult world postulated by
modem science and the one observed by some of the ancients and
a few modern spiritual scientists. In particular, my occult
world is populated by living beings. But an occult world of
living beings is not intrinsically more difficult to justify
than an occult world of mathematically expressed
“laws,” or other mathematical quasi-objects such as
“atoms” or “electrons,” once some
occult world has been admitted to exist. Of course, we are not
used to having our occult world populated by living beings; we
find it strange and uncomfortable — but what of that? The
only scientific question is: can we know that world (to the
extent that an occult world is knowable), can we show by its
use that we can account for phenomena which otherwise leave us
perplexed? Once we arrive at this question, it is possible that
the ground is emotionally and intellectually cleared for the
new thoughts to be advanced here, and we may
proceed.
2.3 Material
and Spiritual Logic
Since this is a
book about computers and not methodology itself, the present
discussion of methodology must soon come to an end. But because
something called “Ahriman” will be brought into a
definite association with the machines, one more set of
thoughts must still be conveyed, thoughts about the logic which
permeates our thinking.
The laws of
thought and logic which have developed in the west starting
with the Greeks are adequate for treating the nature of the
computer in a clear way. But it is impossible to treat
adequately the notion of “Ahriman” and remain
within the bounds of ordinary logic; one is compelled to choose
between being truthful but unclear and illogical, and clear and
consistent but misleading. The source of the problem is that,
with a few notable exceptions, our logic has come to us through
immersion in the material aspect of the world. It is not
ail-inclusively about thought, but is more narrowly about
thought-of-matter. As a result, we cannot think clearly (in the
ordinary sense) about something such as Ahriman which does not
have a simply material existence.
So as a final
methodological subject, I must indicate briefly the nature of
the logic which underlies the main content of this book, and
which also underlies other internally transparent expositions
of spiritual realities. For simplicity's sake, I will call all
the ordinary logics from the syllogism through the predicate
calculus “material logic,” and the family of logics
whose general characteristics I will outline here
“spiritual logic.”
Material logic
has appeared in many different forms, and has undergone
significant transformations during its history. Even relatively
small differences of notation have at times had a major impact.
But there are certain characteristics which all material logics
share. All are based on a relatively small set of statements
called axioms or postulates. Axioms are the basis of any
logical system because they appear first, asserted by the
constructor of the system for his own meta-logical reasons.
Axioms are extremely simple statements, so simple that their
truth is self-evident. At one time axioms were held to be
universally true, but now it is generally accepted that they
are arbitrary, that they form a system's basis not because of
their necessary truth, but because a system must be based on
something.
A famous axiom
in geometry is “parallel lines in a plane never
meet.” [18]
In symbolic logic, a typical axiom is “a or not-a,”
which states that a proposition must either be true or its
negation must be true.
Two distinct
sorts of objects which are found within logical systems may be
called operands and operators. [19]
Operands are the passive objects of the system. In geometry,
they are things like points and lines, while in propositional
logic they might consist simply of “true” and
“false.” Operators are the dynamic actors of the
system, typically serving to relate operands to each other. In
arithmetic, “plus” is an operator, and in
propositional logic, “and” is a typical operator.
Statements in the logical system consist of lawful sequences of
operands and operators.
Logical systems
must also have transformation rules, which turn one true
statement into another true statement. These are perhaps most
familiar to us in algebra, in which a simple transformation
rule might be
This rule expresses the thought
that if one starts with any equation “s=t” and adds
a constant “c” to each side of the equation, the
truth-value of the equation is unaltered. When applied to the
axioms, the transformation rules allow one to produce an
indefinitely large number of true statements, the most
significant of which are termed theorems. Theorems are simply
compound statements which have been spun out of the axioms by
means of the application of the transformation rules in a
particular order.
Just as axioms are the basis of
a logical system, the theorems are in a sense the goal of it.
Theorems are often complicated enough so that their truth is
not self-evident to most of us, but can nonetheless be shown to
be as true as the axioms. In the appropriate circumstances,
showing a statement to be necessarily true or false (proving or
disproving a conjectured theorem) can be challenging and
useful.
To make the notion of a logical
system clear, consider a system which we may call “the
odd numbers.” [20]
The system's definition has
three parts. The first is the alphabet, which is the set of
signs which may appear in statements. In this case, the
alphabet has only one sign, “1”. The second is the
set of axioms, in this case the single axiom “1”.
Finally, there is a single production rule as
illustrated,
where
“x” is understood to stand for any statement (axiom
or theorem). The rule states that any true statement remains
true after “II” is appended to it. Successive
application of the production rule to the axiom results in the
theorems “111”, “11111”,
“1111111”, etc. If one interprets each series of
ones as representing a number (in the unary number system), it
is evident that our logical system encompasses the odd numbers
1, 3, 5, 7, etc. While this system is trivial, more complicated
systems are different only in having larger alphabets, more
axioms, [21]
and more production rules.
The power of
material logic derives from the fact that it is purely formal.
It is nothing but a set of rules which tell how to transform
strings of signs into other strings of signs. The signs have no
meaning of their own. They are not symbols or even signs of
anything: it is not necessary to admit any commonality between
four objects and the sign “4” in order to have a
logically sound system of arithmetic. In fact, it is a miracle
of felicity that correspondences nonetheless exist, that
accurate maps of much of the world can be made out of a totally
vacuous system. To a logician, though, perhaps a greater
delight is the way that theorems of such power, beauty, and
subtlety can be built up out of a small pile of
trivialities.
In material
logic, the idea of higher order logics is already present. For
example, one speaks of primary logic or simple propositional
logic, and then of general logic which includes quantifiers
such as “some” and “every.” This way of
building a logic brings into play a (symbolically speaking)
vertical element, but the vertical element is unfortunately of
a false kind. This point may be grasped by a comparison to the
plant and animal kingdoms, in which animals are a genuinely
higher order of being than plants; they add a qualitative
element (with appropriate physical expression) not present in
plants. If the animal kingdom were higher order in the sense
that term may be understood in material logic, animals would be
constructed out of the same principles and materials as plants,
the only difference being that they would somehow feed on other
plants instead of or in addition to conducting photosynthesis.
Indeed, parasitic plants such as mistletoe and insect eating
plants such as the Venus's-fly trap are counterfeit animals,
higher-order plants, in this sense.
Truly
higher-order logics are, however, possible. I know of two
levels, and more may exist. The level immediately above
material logic is a logic of metamorphosis and transformation
in a world ruled by dynamic polarities. Goethe sensed this
logic while he did his botanical studies, and Hegel developed
it under the rubric of dialectics. I have described this logic
in a preliminary way and demonstrated its application in detail
elsewhere. While material logic is appropriate to the mineral
world, this first higher order logic permeates wherever living
being unfolds itself organically,
It is the
second order logic which is of interest to us here, and which I
have termed spiritual logic. So far as I know, a formalism in
which statements in this logic may be expressed has never been
devised, nor will I present one here. Nonetheless, it is
possible to see that spiritual logic permeates spiritual
realities in a way appropriate to their nature, and that people
who have investigated these realities in an exact way have
intuitively made their descriptions conform to spiritual logic,
whether or not they were consciously aware of the fact. In what
follows, I will attempt to characterize and describe spiritual
logic, but not fully define it.
Spiritual logic
is related to material logic by a series of inversions,
reversals, and coalescings involving its central elements and
characteristics. The most obvious inversion involves the
vacuousness that characterizes material logic as a whole. Its
signs and strings are empty, arbitrary, and trivially obvious.
The alphabet is nothing but a set of place holders. The
theorems, however clever, are mechanically derivable from the
axioms via the production rules. In spiritual logic, it is
appropriate to say that one finds not signs but symbols. All
the statements, both axioms and theorems, indicate sources of
meaning, being, and quality. Of course, the marks that one
might make on a piece of paper superficially appear similar to
those of material logic. The point is that material logic may
be fully represented by marks on paper, while spiritual logic
may only be appropriately indicated by correctly formed graphic
symbols.
Material logic
is more trivial in its axioms and more sophisticated in its
theorems, some of which take a stroke of genius to discover.
Its axioms are so obvious that beginning students are often
confused by them: who in his right mind would trouble to state
the principle of identity, that any variable or constant is
equal to itself? In spiritual logic, this relation is
reversed — the axioms are full, necessary, and the
part of the system which is the most profound and difficult to
understand, while the theorems are (relatively speaking) easier
to grasp and arbitrary. The point in material logic is to
discover and elucidate theorems; in spiritual logic, one
stumbles across theorems more easily, and the point is to
elucidate the axioms, the profound sources of the
system.
Another aspect
of the reversal of the relation between axioms and theorems
concerns unity and compounded-ness. In material logic, axioms
are simple statements, while theorems are almost always
compound. In spiritual logic, the axioms are still in some
sense unities, but they are so in a complex, multi-faceted way,
while by the time one gets out to the consequents, the
theorems, the complexity is at least greatly reduced. The
theorems most distant from the axioms are simple irreducibles,
such as individual percepts experienced by humans.
In most
instances of material logic (though not in the example given
above — think instead of algebra), there is a clear
distinction between passive operands and active operators. A
similar distinction holds between passive logic systems and
active abstract (e.g. Turing) machines, even though one can
completely model one in terms of the other. [22]
Again, one distinguishes between active production rules and
passive theorems. Although such dualities pervade material
logic, it is as a whole passive (substance-like) in relation to
spiritual logic, which as a whole is active (essence-like). A
facet of this relation appeared in the discussion of the
fullness and emptiness of the logics above.
As one moves
from passive (as a whole) material logic to active spiritual
logic, the duality active/passive recedes into the background,
so that for example the clear distinction between operands
(such as variables in an equation) and operators (such as
“+”) disappears. The symbols of spiritual logic
partake of the natures of substance and of essence at the same
time.
Spiritual logic
is not an alternative to material logic, because it does not
supersede material logic in that logic's proper realm of
application. One must still be able to ferret out and eliminate
ordinary-logic contradictions. However, this admirable practice
universally applied, effectively makes one unable to think
about phenomena which have a primarily spiritual basis. Hence
spiritual logic, which provides a basis for thinking clearly about spiritual
realities, and which is implicit in (and thus necessary for
rationally comprehending) existing expositions of spiritual
phenomena.