The
Philosophy of
Gottfried Wilhelm von
Leibniz
TABLE OF
CONTENTS
I.
General Notions
The thought of Leibniz represents a synthesis of
Cartesian
Rationalism and Aristotelio-Scholastic thought.
The two problems that must be solved are always the
same:
- the relationship between God and the world,
and
- the relationship between spirit and
matter.
Leibniz believed that the central concept of the
Aristotelian system -- that is, the
form that is drawn out of potency -- could
explain these relationships. He brought forth his
theory of the
monad, a
spiritual substance endowed with force which,
spontaneously and according to a law
pre-established by God, is evolved from the obscure
and confused state of potency and reaches the state
of representation.
II.
Life and Works
Gottfried Wilhelm von Leibniz (picture),
who had a mind of encyclopedic culture, was born in
1646 at Leipzig, where he acquired during his early
studies a profound knowledge of philosophy itself
and of the history of medieval and modern
philosophy and of the mathematical sciences.
In 1672 he went to Paris on a diplomatic mission
to the court of Louis XIV, the Sun-King, whose
desire to expand the realm of France represented a
real danger for Germany. In Paris, Leibniz came
into contact with the leading philosophers and
scientists of his day, such as Malebranche and
Arnauld, and there he made the discovery of
infinitesimal calculus. Newton made the same
discovery at the same time; hence the two entered
into heated polemic regarding credit for the
discovery. On a voyage to London Leibniz made the
acquaintance of Newton, and at The Hague he met
Spinoza.
In 1676, invited by the Duke of Brunswick to
accept the office of court librarian, he left Paris
to go to the ducal court of Hanover. There he did
not interrupt his studies of philosophy, science,
history, religion and politics, despite the fact
that he had to attend to many diplomatic and
political matters. In order to compile a history of
the House of Brunswick, he made a trip to Italy,
where he visited the major cities. When the Duke of
Brunswick succeeded to the throne of England,
Leibniz remained in Hanover, where he died in
solitude in 1716.
Of the many writings of Leibniz only his
Theodicy was published during his lifetime,
many other works of his remaining unedited. These
are separate essays rather than a systematic
exposition of Leibniz' thought. They are, however,
of great critical value. Among the works published
posthumously the most important from a
philosophical point of view are: Discourse on
Metaphysics; The New System of Nature; New Essays
Concerning Human Understanding (a criticism of
Locke's Essays); and Monadology. The
originals of nearly all the writings of Leibniz are
in French or in Latin.
III.
Theory of Knowledge
In regard to the problem of the origin of ideas,
Leibniz upholds a virtual
innatism, which is a middle course
between the innatism of Descartes
and the empiricism of Locke.
Descartes had admitted that such concepts as
God, the perfect being, and so forth are directly
impressed by God upon the intellect. Locke denied
this innatism, with good reason, and taught that
the intellect was a "tabula rasa" (blank slate),
and that all ideas come from experience and
reflection.
Leibniz believes that a middle course must be
held in order to avoid the extremes of both these
theories. Thus he admits that the ideas of reason
are virtually in the intellect, and that the
intellect discovers them by revolving upon itself
through reflection.
Let us take the example of a piece of marble.
The statue of Hercules which can be carved in it
does not "de facto" exist, but a sculptor sees the
lines of the projected statue in the marble, and
through his workmanship is able to reduce to
actuality what first existed there only virtually.
This is the concept of Aristotelian potency. For
Leibniz, the intellect is an active potency which
finds itself the power of being reduced to act by
virtue of the spontaneity of the monad, as we shall
see in his metaphysics.
Regarding the fundamental principles of
knowledge, Leibniz holds that they are two:
- the principle of identity, and
- the principle of sufficient reason.
In fact, since reality is presented under two
different aspects, one necessary and absolute, the
other relative and contingent, it follows that we
are able to make two kinds of judgments:
- The first pertains to the order of reason --
for example, two plus two equals four; such
judgments are justified in themselves in so far
as the predicate is already contained in the
subject. Such are all analytical judgments in
which the analysis of the subject reveals the
predicate to us; and all founded on the
principle of identity. The opposite is
impossible because it would be against the
principle of contradiction.
- The second order of truth is that which
concerns the contingent aspect of reality. In
this order we find judgments of fact and not of
reason; such judgments indicate that the thing
exists, but do not tell us why. This is
because we cannot, from an analysis of the
subject, derive or deduce the necessity of the
predicate. For example, let us take the
judgment: "Socrates is walking." This is a truth
of fact, and the predicate "walking" is not
necessarily connected with Socrates, for he
could also be seated. But the reason of fact
exists, and it is constituted by an infinity of
acts, past and present, which constitute the
sufficient reason of the fact that is now taking
place -- namely, that Socrates is walking. If we
were able to consider a present fact from an
absolute standpoint, for example, with the eye
of God, this fact would appear to be
necessary.
As a consequence, the truths of fact are
contingent for us ("quoad nos") but not in
themselves ("quoad se"), because an adequate idea
of the subject would reveal to us that the
predicate is necessarily connected with the
subject. Thus both the truths of reason and the
truths of fact have a common foundation, infallible
logical necessity.
IV.
Metaphysics
The metaphysics of Leibniz is a logical
development of the theory of the monad. He was led
by his training in infinitesimal calculus to
conceive of reality, even on the philosophical
level, as composed of infinitely small atoms devoid
of all extension and endowed with activity (dynamic
atoms). The atom of Democritus was extended and
hence divisible: it had to be replaced by an
unextended atom, a mathematical point.
On the other hand, Cartesian atoms ("res
extensa"), subject to movement, are not passive but
are endowed with resistance, and resistance is a
force. Leibniz unites both these results of his
critique and conceives reality as an infinity of
points deprived of all extension, but endowed with
activity. They are unextended centers of force.
These he calls
monads.
The activity of the monad consists in
representation. Every monad, each from its
own point of view, represents the universe,
partially understood, and as it were in miniature.
Since the life of the monad consists in
representation and every representation of a monad
is different from the representation of other
monads, they differ from one another. There cannot
be two monads equal to each other.
Furthermore, the monad draws these
representations from its own depths, from the
obscure principle that exists within it, and that
tends to become clear in the representative act.
The monad can never exhaust this source that exists
within itself, for in such a case it would become
Pure Act, God. The representative act of the monad
can never rest; it seeks ever to represent itself
anew. Thus the monad is representation and
appetite.
Although not only the soul-monad but all monads
are representations and appetite, it does not
follow that all representations are equal. There
are unconscious representations, in which case the
monad never manages to become conscious of its own
being. Such are representations of the mineral and
vegetable world. These unconscious representations
Leibniz calls "perceptions." There are also
conscious representations, in which case the monad,
by reflecting upon itself, knows its own content.
Such are the representations of the soul-monad.
These representations Leibniz calls
"apperceptions."
Another important particular of the metaphysics
of Leibniz is the law of
pre-established
harmony. The monads, being unextended
points, cannot have a relation of causality to one
another. Such relations are attributable to God,
who establishes the order that every monad must
have in itself and in relation to its fellows from
the moment of creation (pre-established harmony).
An example may be found in the watchmaker who
selects and puts together the parts of a watch.
Thus the world of Leibniz is made up of monads,
infinite in number, active, but without any
relation of causality among themselves. Monads are
arranged by God in a perfect order which ascends to
God, the supreme monad.
V.
The World as Phenomenal Extension
The world, presented as extended matter, is a
phenomenon resulting from the grouping of monads.
The monad is representation; it is driven ever more
clearly toward itself by an obscure principle.
Since there are degrees in the perfection of
representation, it follows that the monad passes
from lesser to greater degrees of perfection, and
hence that it is dual. Thus in the monad there are
to be distinguished an obscure passive principle,
and an active principle. The passive element is
called by Leibniz "matter" or "mass."
By virtue of pre-established harmony, the monads
arrange themselves in groups, as if in a colony --
by coordinating themselves, the more imperfect with
the perfect, and these with a superior, central
monad. Every reality that results from such
aggregates is a body in which the material part is
the sum of the passivity of the component monads.
But, granted the immateriality of the monads, the
material element that results is not real, but a
phenomenon of the obscure principle of the monads.
This is not to be confused with phantasms and
dreams, for these latter do not have a foundation
in reality, while the materiality of body is a
well-founded phenomenon ("phenomenon bene
fundatum"), founded on the passivity of the
monad.
VI.
Rational Psychology
Even man is an aggregate of monads, ending in
the central monad which is the soul. Hence there
are in man monads of diverse nature, unconscious,
subconscious, and conscious. Since every conscious
representation lies first in the unconscious state
of the passive material element, Leibniz adopts the
Scholastic expression "Nihil est in intellectu quod
prius non fuerit in sensu," and adds "praeter
intellectum." The meaning is that the intellect, by
virtue of innatism, finds within itself the truths
of reason. Birth and death, in the system of
Leibniz, signify the passage on the part of the
soul from one aggregate of monads to another.
VII.
Theodicy
Leibniz proves the existence of God by a priori
and a posteriori arguments. The a priori argument
is substantially the same as the ontological
argument of St. Anselm. Leibniz, however, gives
the argument a different coloring by developing the
concept of possibility. Thus if the infinite Being
is possible (and it is possible, for the concept of
the infinite does not involve contradiction), it
exists. Hence God exists.
The a posterior proofs are two:
- The first is based on pre-established
harmony in so far as such harmony demands an
author, and this is God.
- The second is based on the principle of
sufficient reason: Everything that exists must
have sufficient reason for existing, and this
reason is God.
Where the attributes of God are under
consideration, Leibniz differs from the traditional
concept of creation. God is the creator of the
monads and of their order. But if God was free to
decree the creation of the world, He was not free
in the choice between different possible worlds. In
virtue of the principle of sufficient reason, God
chose the best of creatable worlds (optimism),
because there would be no justification for a world
worse than the present one.
Thus Leibniz, while wishing to avoid the
voluntarism of Descartes and the absolute necessity
of Spinoza, winds up
by approaching this latter, and finishes by
conceiving of the world as forming and shaping
itself under the necessity of the principle of
sufficient reason.
VIII.
Ethics
In a world which, according to the concept of
Leibniz, is the best possible world, the question
of the existence of evil must be answered. Leibniz
treats of this question in his
Theodicy. Evil is the privation of
perfection; it is not a reality but the decline of
a real being.
There are three kinds of evil:
- Metaphysical
evil consists in the limitation of a
being, a limitation necessary in every created
being, since outside God there cannot be an
infinite being. This privation, which is not due
to the nature of being, is not a real evil.
- Physical
evil consists in a privation of a
perfection due to the nature of the being. This
is a real evil, but Leibniz justifies its
existence on the basis of aesthetic motives, and
also holds that it results in benefit to nature
taken in its entirety.
- Moral
evil: Man, not God, is
responsible for moral evil. The man-monad is not
only apperceptive, but also appetitive, and
hence free. Man abuses this freedom and opposes
himself to the will of God. Moral evil consists
in this opposition and man alone is responsible
for it.
Keeping in mind, however, the pre-established
harmony and the law of optimism ("lex melioris"),
derived from the principle of sufficient reason, it
is to be concluded that moral evil also is
necessary and willed by God.
As Michele Sciacca writes: "We can conclude that
Leibniz, despite all his efforts, does not succeed
in overcoming what is called the "geometric
fatalism" of Spinoza, which is the central problem
of his speculation. Once admitted that the various
acts of the soul are causally bound together in
such a manner that each is necessarily determined
by preceding acts, one can no longer speak of
liberty. Leibniz can justify spontaneity, but not
liberty." (Manuale di storia della
filosofia, II, 96.)
IX.
Conclusion: Historical Position
Leibniz' philosophy is not superficial; it
considers the most important problems of
metaphysics and psychology. Platonic in spirit, it
is inclined toward a poetic rather than a
scientific synthesis. Thus its principal defect is
it unreality: the philosophy of Leibniz is not
built on experimental data but on a priori
principles and definitions.
Still, Leibniz must not be underrated as a
speculative thinker. He rendered great service to
the cause of philosophy by opposing empirical
sensism. His philosophy opens to the mind new
vistas of philosophic syntheses, and is an
invaluable aid to the understanding of later
systems.
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