Lecture Supplement on Leibniz’
Discourse
and
Monadology
Copyright © 2014
Bruce W. Hauptli
1. Discourse On
Metaphysics
[post., composed in 1686, first published in 1846]:
In their
introduction to their translation of the work, Daniel Garber and Roger Ariew
note that:
in February 1686,
Leibniz wrote a letter to Landgrave Ernst von Haessen-Reifels, saying: “being
somewhere having nothing to do for a few days, I have lately composed a short
discourse on metaphysics....” The
“short discourse” was not published or even circulated in Leibniz’s lifetime, to
the best of our knowledge; at best Leibniz seems to have circulated summaries of
its sections to...Antoine Arnauld, sparking a celebrated exchange of
views....But the work that resulted from these few days of leisure is generally
regarded as one of the most important statements of Leibniz’s mature thought, a
summary of his metaphysical system as it appeared to him in that very productive
decade.[1]
The manuscript and
copies had no title, and the Discourse
has become known by its name from the allusion to it in the above citation.
Bertrand Russell
echoes the above praise in his A Critical
Exposition of the Philosophy of Leibniz, saying that the Discourse
threw a flood of light on Leibniz’ philosophical theories for him.[2]
In their “Introduction” to their translation of the work, Peter Lucas and
Leslie Grint maintain that:
there is no major
element in the Discourse which cannot
be found singly in earlier writings, except for the one idea of expression or
representation—that each substance
expresses God and the universe from a point of view.
This is Leibniz’s alternative picture to the picture which was then and
still is common of a universe consisting of objects and animate beings which
have their separate individual existences but act and are acted on in a
mechanical or quasi-mechanical system.
This new picture or metaphor of the universe as a system of
representation provided the impulse which enabled Leibniz to synthesise his
attitude to life, his religion and his various separate philosophical principles
into the metaphysical system which is contained in the
Discourse.[3]
They also note that:
one of the political
purposes for which Leibniz hoped to use the metaphysics of the
Discourse was as the basis of a
universal rational theology which would make possible the re-union of the
churches.[4]
According to them,
the text may be divided into six sections:[5]
1. God (sections
1-7)
2. Created
Substances (sections 8-16)
3. Force and final
causes (sections 17-22)
4. The human
understanding (sections 23-29)
5. The human will
(sections 30-31)
6. Piety and
religion (sections 32-37).[6]
I will be following
their division, and paying particular attention to the sections which I have
“stared” below.
(A). On God
(sections 1-7):
1. On divine
perfection, and that God does everything in the most desirable way.
-God is an
absolutely perfect being, and “...possessing supreme and infinite wisdom, acts
in the most perfect manner, not only metaphysically, but also morally
speaking....”
*2. Against those
who claim that there is no goodness in God’s works, or that the rules of
goodness and beauty are arbitrary:
-“...all acts of
will presuppose a reason for willing and...this reason is naturally prior to the
act of will.”
--Here we have a
clear indication of Leibniz’ rationalism: acts of willing presuppose reasons
(which are prior to the will), and,
thus, everything which happens has a
reason why it happens! We also
need to pause and contrast what differences this betokens in contrast to
Spinoza’s theory!
*3. Against those
who believe that God might have made things better:
-“...to act with
less perfection than one could have is to act imperfectly.”
-“...[we have] only
an inadequate knowledge ...[of] the general harmony of the universe and of the
hidden reasons for God’s conduct.”
4. That the love of
God requires our complete satisfaction and acquiescence with respect to what he
has done without our being quietists as a result.
*5. What the rules
of perfection of divine conduct consist in, and that the simplicity of the ways
is in balance with the richness of the effects:
-“...God does
nothing for the best that can harm those who love him.
But to know in detail the reasons that could have moved him to choose
this order of the universe—to allow sins, to dispense his saving grace in a
certain way—surpasses the power of a finite mind, especially when it has not yet
attained the enjoyment of the vision of God.”
--“...the most
perfect of all beings, those that occupy the least volume, that is, those that
least interfere with one another, are minds, whose perfections consist in their
virtues. That is why we mustn’t
doubt that the happiness of minds is the principal aim of God and that he puts
this into practice to the extent that the general harmony permits it.”
--Note that minds not having “volume” is one and
the same as lacking “extension”—and for him all substances must be non-extended
(otherwise they would be divisible, and not substances).
The special role for minds, which is
hinted at here, does not translate, in his thought, to the only substances being
minds—that would lead to idealism, and that is not yet on the horizon of the
thought of the period.
*6. God does nothing
which is not orderly and it is not even possible to imagine events that are not
regular:
-“...what passes for
extraordinary [events] is extraordinary only with respect to some particular
order established among creatures; for everything is in conformity with respect
to the universal order.”
--That is, if there
were “miracles,” they would be violations of the “universal order,” and Leibniz’
thoroughgoing rationalism will not allow for this.
-“...God
has chosen the most perfect world, that is, the one which is at the same
time the simplest in hypotheses and
the richest in phenomena....”[7]
--In his “Perfection
and Happiness in the Best Possible World,” David Blumenfeld discusses different
possible meanings of “perfection” here, and maintains that: “throughout his
career, but especially in his maturity, [Leibniz] insists on the unsurpassable
richness of things; in the Discourse,
for example, he says that the world is “the richest in phenomena”; in the
Principles of Nature and Grace he
declares that it has “the greatest variety together with the greatest order”;
and in the Monadology he asserts
flatly that it has “the greatest variety possible.”
All of this indicates that God is not required to trade-off variety in
his selection of the best possible world.”[8]
Blumenfeld further asserts that “in light of all of this, we must
attribute to Leibniz a more radical position than the ones we have considered.
Ultimately, he thinks the best world contains the most diverse phenomena
and the simplest laws of nature;
indeed, he believes that the greatest number and variety of things is
unobtainable apart from such laws.
I shall dub this doctrine “the harmony of variety and simplicity.”[9]
7. That miracles
conform to the general order, even though they may be contrary to the
subordinate maxims; and about what God wills or permits by a general or
particular volition:
-“...God does
everything following his most general will, which is in conformity with the most
perfect order he has chosen, but we can also say that he has particular
volitions which are exceptions to these aforementioned subordinate maxims.
For the most general of God’s laws, the one that rules the whole course
of the universe, is without exception.”
(B) On Created
Substances (sections 8-16):
*8. To distinguish
the actions of God from those of creatures, we explain the notion of an
individual [created] substance:
-“...all
true predication has some basis in
the nature of things and...when a proposition is not an
identity, that is, when the
predicate is not explicitly contained in the subject, it must be contained in it
virtually....Thus the subject term must always contain the predicate term, so
that one who understands perfectly the notion of the subject would also know
that the predicate belongs to it.”
--That is, truths
about created substances (true subject-predicate statements) all have the form
of identities (either explicit or implicit).
--“...God, seeing
Alexander’s individual notion or haecceity,[10]
sees in it at the same time the basis and reason for all the predicates which
can be said truly of him...he even knows
a priori (and not by experience) whether he died a natural death or whether
he was poisoned....from all time in Alexander’s soul there are vestiges of
everything that has happened to him and marks of everything that will happen to
him and even traces of everything that happens in the universe, even though God
alone could recognize them all.”
*9. That each
singular substance expresses the whole universe in its own way, and that all its
events, together with all their circumstances and the whole sequence of external
things, are included in its notion:
-“...it is not true
that two substances can resemble each other completely and differ only in
number....”
--This is his
Principle of the Identity of
Indiscernibles.
-“It also follows
that a substance can begin only by creation and end only by annihilation; that a
substance is not divisible into two; that one substance cannot be constructed
from two; and that thus the number of substances does not naturally increase or
decrease, though they are often transformed.
Moreover, every substance is like
a complete world and like a mirror of God or of the whole universe, which each
one expresses in its own way, somewhat as the same city is variously represented
depending upon the different positions from which it is viewed.”
*10. That the belief
in substantial forms[11]
has some basis, but that these forms do not change anything in the phenomena and
must not be used to explain particular effects:
-While this notion
is much decried “today,” and while it is not useful in physics, it is necessary
in metaphysics.
-See the
Appendix
below for a further discussion of the traditional “doctrine of substantial
forms.”
11. That the
thoughts of the theologians and philosophers who are called scholastics are not
entirely to be disdained.
12. That the notions
involved in extension contain something imaginary and cannot constitute the
substance of body.
*13. Since the
individual notion of each person includes once and for all everything that will
ever happen to him, one sees in it the a priori proofs of the truth of
each event, or why one happened rather than another.
But these truths, however certain, are nevertheless contingent, being
based on the free will of god or of his creatures, whose choice always has its
reasons, which incline without necessitating:
-“...it seems that
this would eliminate the difference
between contingent and necessary truths, that there would be no place for
human freedom, and an absolute fatalism would rule all our actions as well as
all the other events of the world.
To this I reply that we must distinguish
between what is certain and what is necessary.
Everyone grants that future contingents are certain, since God foresees
them, but we don’t concede that they are necessary on that account.
But (someone will say) if a conclusion can be deduced infallibly from a
definition or notion, it is necessary.
And it is true that we are maintaining that everything that must happen
to a person is already contained virtually in his nature or notion, just as the
properties of a circle are contained in its definition; thus the difficulty
still remains. To address it
firmly, I assert that connections or following...is of two kinds.
The one whose contrary implies a contradiction is absolutely necessary;
this deduction occurs in the eternal truths, for example, the truths of
geometry. The other is necessary
only ex hypostesi and, so to speak,
accidentally, but it is contingent in itself, since its contrary does not imply
a contradiction. And this
connection is based not purely on ideas and God’s simple understanding, but on
his free decrees and on the sequence of the universe.”
--“...I say that
whatever happens in conformity with these predeterminations...is certain but not
necessary, and if one were to do the contrary, he would not be doing something
impossible in itself, even though it would be
impossible [ex hypostesi] for this to
happen.”
--“...nothing is
necessary whose contrary is possible.”
-Leibniz sent the
section headings of the Discourse to
Antoine Arnauld [1612-1694] through an intermediary (Landgrave (Count) Ernst von
Hessen-Rheinfels). Arnauld was a
French theologian, philosopher, and skeptic who was well-known for his
criticisms of Descartes, his co-authorship of
La logique, ou l’art de penser [The
Port-Royal Logic, 1662—the “standard logic text book from then until the
late 19th Century], and his correspondence with many figures of the
day. Arnauld replied to Leibniz’
initial letter with a critique of this section which contended that it implies a
rigid determinism which would not be
accepted by the Catholic Church, and the ensuing correspondence is long enough
to constitute a book-length work.[12]
Arnauld’s claim that the Catholic
Church would not accept Leibniz’ point of view should be viewed within the
context of Arnauld’s Jansenism: while he had studied theology at The Sorbonne
and received a doctorate there, but was then drawn to Jansenism [a rigorous
version of Augustinianism which was in opposition to the Thomism generally
accepted at his time]. His works
were critiqued by Jesuit theologians as being too similar to the Calvinists’
views, and on January 1, 1656 he was stripped of his doctorate in theology
because of his refusal to recant the Jansenist doctrines, and his work at
Port-Royal (he was a good friend of Blaise Pascal).
At about this time he had to go into hiding, and while he wrote extensive
critiques of Calvinism he ultimately had to go to The Netherlands in about 1678.
where his studies led him back to a Thomistic view.
The correspondence is frequently
appealed to by those studying Leibniz, as he there makes clear(er) some of his
most basic ideas and distinctions.
The following passages from Leibniz in this correspondence are, I believe,
important and illuminating:
--...always in every
affirmative proposition...the concept of the predicate is comprised...in that of
the subject. Either the predicate
is in the subject or else I do not know what truth is.[13]
---Note that for
Descartes, truth seems to be a matter of correspondence between an idea and that
which the idea represents; while, for Spinoza, truth appears to be a matter of
coherence (of propositions with each
other).
--...“there must
always be some foundation for the connection of the terms of a proposition, and
this is found in their concepts.”
This is my fundamental principle, which I think all philosophers ought to agree
to, and one of whose corollaries is that commonly accepted axiom: that noting
happens without a reason which can be given why the thing turned out so rather
than otherwise. This reason,
however, often produces its effects without necessitation.[14]
--It is therefore
much more reasonable and more worthy of God to suppose that he has created the
machinery of the world in such a fashion from the very start, that without doing
violence at every moment to the two great laws of nature, that of force and that
of direction, but rather by following them exactly (except in the case of
miracles) it so comes about that the internal springs of bodies are ready to act
of themselves, as they should, at the very moment with the soul has a conforming
desire or thought. The soul, in
turn, has had this desire or thought only conformably to preceding states of the
body and thus the union of the soul with the machinery of the body and with the
parts which compose it, and the action of the one upon the other consists only
in this concomitance, which betokens the wonderful wisdom of the Creator much
more than any other hypothesis. It
cannot be denied that this at least is possible, and that God is a sufficiently
great workman to be able to carry it out; therefore, it can easily be decided
that this hypothesis is the most probable, being the simplest and most
intelligible and at once avoiding all difficulties...[15]
Returning to the
Discourse on Metaphysics:
*14. God produces
various substances according to the different views he has of the universe, and
through God’s intervention the proper nature of each substance brings it about
that what happens to one corresponds with what happens to all the others,
without their acting upon one another directly:
-“...God...turns on
all sides and in all ways the general system of phenomena which he finds it good
to produce in order to manifest his glory, and he views all the faces of the
world in all ways possible, since there is no relation that escapes his
omniscience.”
-“...perceptions or
expressions of all substances mutually correspond in such a way that each one,
carefully following certain reasons or laws it has observed, coincides with
others doing the same....”
-“And God alone
(from whom all individuals emanate continually and who sees the universe not
only as they see it but also entirely differently from all of them) is the cause
of this correspondence of their phenomena and makes that which is particular to
one of them public to all of them....”
-“...nothing can
happen to us except thoughts and perceptions, and all our future thoughts and
perceptions are merely consequences, though contingent, of our preceding
thoughts and perceptions, in such a way that, if I were capable of considering
distinctly everything that happens or appears to me at this time, I could see in
it everything that will ever happen or appear to me.”
15. The action of
one finite substance on another consists only in the increase of degree of its
expression together with the diminution of the expression of the other, insofar
as God requires them to accommodate themselves to one another.
16. God’s
extraordinary concourse is included in that which our essence expresses, for
this expression extends to everything.
But this concourse surpasses the powers of our nature or of our distinct
expression, which is finite and follows certain maxims.
(C) On Force and
Final Causes (sections 17-22):
I will not be
lecturing on this section of the
Discourse. In their
“Introduction,” Lucas and Gint maintain that this section discusses the notion
of force and:
contains an argument
with the Cartesians which may be found obscure and is expressed in words which
had plainly not yet become a stable terminology....
There is a law of conservation in
dynamics to which Leibniz wishes to allude as an example of a metaphysically
grounded law of nature, in order to support his argument that natural philosophy
[that is science] requires in scholastic terms, substantial forms, or in his own
later terms, monads. The doctrine
of the Cartesians is that ‘quality of motion’ is conserved, defined in Leibniz’
terms as ‘speed multiplied by size’, or in modern terms as velocity multiplied
by mass, namely momentum. ‘Quality
of motion’ is taken by the Cartesians to be equivalent to ‘motive force’, in
modern terms energy; it is this equivalence that Leibniz wishes to refute.
Leibniz’s thesis is that ‘force’
(energy) is conserved, and is not identical with ‘quality of motion’ (momentum).
He establishes this from the example of falling bodies.
He assumes with the Cartesians that in the case of bodies being lifted,
equal ‘forces’ will be required for equal products of ‘weight’ and ‘height’; or
in modern terms for equal work done....[16]
17. An example of a
subordinate maxim or law of nature, in which it is shown, against the Cartesians
and many others, that God always conserves the same force but not the same
quantity of motion.
18. The distinction
between force and quantity of motion is important, among other reasons, for
judging that one must have recourse to metaphysical considerations distinct from
extension in order to explain the phenomena of bodies.
19. The unity of
final causes in physics:
-“...God always
intends the best and most perfect.”
20. A noteworthy
passage by Socrates in Plato against philosophers who are overly materialistic.
21. If mechanical
rules depend only on geometry without metaphysics, the phenomena would be
entirely different.
22. Reconciliation
of two ways of explaining things, by final causes and by efficient causes, in
order to satisfy both those who explain nature mechanically and those who have
recourse to incorporeal natures.
(D) On the Human
Understanding (sections 23-29):
*23. To return to
immaterial substances, we explain how God acts on the understanding of minds and
whether we always have the idea of that about which we think:
-“...God exists
necessarily, if he is possible.
It is indeed the prerogative of divine nature, one that surpasses all
others, that divine nature needs only its possibility or essence in order
actually to exist, and it is precisely this that is called
ens a se.”[17]
*24. What is clear
or obscure, distinct or confused, adequate or intuitive or suppositive
knowledge; nominal, real, causal, and essential definition:
-“...we sometimes
know something clearly, without being
in any doubt whether a poem or a picture is done well or badly....But when I can
explain the marks which I have, the knowledge is called
distinct.”
-“...distinct
knowledge has degrees....But when everything that enters into a distinct
definition or distinct knowledge is known distinctly, down to primitive notions,
I call this knowledge adequate.
And when my mind understands all the primitive ingredients of a notion at
once and distinctly, it has intuitive
knowledge of it; this is extremely rare, since the greater part of human
knowledge is only confused or
suppositive.”
-“It is also good to
distinguish nominal and
real definitions.
I call a definition nominal
when one can still doubt whether the notion defined is possible....”
-“...there
are...great differences between the kinds of real definitions.
For when possibility is proved only by experience, as in the definition
of quicksilver,[18]
whose possibility we know because we know that there actually is such a body
which is an extremely heavy but rather volatile fluid, the definition is merely
real and nothing more; but when the proof of the possibility is
a priori, the definition is both real
and causal, as when it contains the
possible generation of the thing.
And when the definition pushes the analysis back to the primitive notions,
without assuming anything requiring an a
priori proof of its possibility, it is perfect or essential.”
25. In what case our
knowledge is joined to the contemplation of the idea.
26. That we have all
ideas in us; and of Plato’s doctrine of Reminiscence.
27. How our soul can
be compared to empty tablets and how our notions come from the senses.
*28. God alone is
the immediate object of our perceptions, which exist outside of us, and he alone
is our light:
-“Now, in rigorous
metaphysical truth, there is no external cause acting on us except God alone,
and he alone communicates himself to us immediately in virtue of our continual
dependence. From this it follows
that there is no other external object that touches our soul and immediately
excites our perception.”
29. Yet we think
immediately through our own ideas and not through those of God.
(E) On The Human
Will (sections 30-31):
*30. How God
inclines our soul without necessitating it; that we must not ask why Judas sins
but only why Judas the sinner is admitted to existence in preference to some
other possible persons. On original
imperfection before sin, and the degrees of grace:
-“But someone else
will say, why is it that this man will assuredly commit this sin?
The reply is easy: otherwise he would not be this man.
For God sees from all time that there will be a certain Judas whose
notion or idea (which God has) contains this free and future action.
Therefore only this question remains, why does such a Judas, the traitor,
who is merely possible in God’s idea, actually exist?
But no reply to this question is to be expected on earth, except that, in
general, one must say that God foresaw, it must be that this sin is paid back
with interest in the universe, that God will derive a greater good from it, and
that it will be found that, in sum, the sequence of things in which the
existence of that sinner is included is the most perfect among all possible
sequences.”
-“Yet one sees
clearly that God is not the cause of evil.
For not only did original sin take possession of the soul after the
innocence of men had been lost, but even before this, there was an original
imperfection or limitation connatural to all creatures, which makes them libel
to sin or capable of error....the root of evil is in nothingness, that is to
say, in the privation or limitation of creatures, which God graciously remedies
by the degree of perfection it pleases him to give.”
31. On the motives
of election, on faith foreseen, on middle knowledge, on the absolute decree and
that it all reduces to the reason why God has chosen for existence such a
possible person whose notion includes just such a sequence of graces and free
acts; this puts an end to all difficulties at once:
-“...with respect to
this single question, why it pleased God to choose him from among so many other
possible persons, one would have to be very unreasonable not to be content with
the general reasons we have given....”
(F) On Piety and
Religion (sections 32-37):
*32. The utility of
these principles in the matters of piety and religion:
-The
Principle of Perfection when combined with “...the principle that the notion
of a substance contains all its events with all their circumstances, far from
harming, serve to confirm religion, to dispel enormous difficulties, to enflame
souls with a divine love, and to elevate minds to the knowledge of incorporeal
substances, much more than hypotheses we have seen until now.”
--Cf.,
Lady Marsham’s (Damais Cudworth) June 3, 1704 letter to Leibniz.
She maintains that: “...the advantages proposed from this hypothesis are
very desirable. But it appears not
yet to me that this is more than a hypothesis; for as God’s ways are not limited
by our conceptions. The unintelligibleness or inconceivableness by us of any
body but one, does not methinks, much induce a belief of that, being the way
which God has chosen to make use of.”[19]
She rightly inquires why we should accept such “hypotheses” as true,
however desirable they may be. In
this and other letters to him, she raises a number of central criticisms of
Leibniz’ theories.
--Here it is
profitable to consider the contemporary epistemological orientation which
recommends that we employ the principle of “inference to the best explanation,”
and how it manifests itself in Leibniz’ thought (and, of how it should be the
principle of “inference to the best
available explanation”).
33. Explanation of
the union of soul and body, a matter which has been considered as inexplicable
or miraculous, and on the origin of confused perceptions:
-“..the very idea or
essence of the soul carries with it the fact that all its appearances and
perceptions must arise spontaneously from its own nature and precisely in such a
way that they correspond more particularly and more perfectly to what happens in
the body assigned to it, because the soul expresses the state of the universe in
some way and for some time, according to the relation other bodies have to its
own body. This also allows us to
know how our body belongs to us, without, however, being attached to our
essence.”
34. On the
differences between minds and other substances, souls or substantial forms, and
that the immortality required includes memory:
-Bodies “...express
the whole universe, although more imperfectly than minds do.
But the principal difference is that they do not know what they are nor
what they do, and consequently, since they do not reflect on themselves, they
cannot discover necessary and universal truths.
It is also because they lack reflection about themselves that they have
no moral qualities. As a result,
though they may pass through a thousand transformations, like those we see when
a caterpillar changes into a butterfly, yet from the moral or practical point of
view, the result is as if they had perished....”
35. The excellence
of minds and that God considers them preferable to other creatures.
That minds express God rather than the world, but that the other
substances express the world rather than God:
-“...there is no
reason to doubt that the substances which express the universe with the
knowledge of what they are doing and which are capable of knowing great truths
about God and the universe, express it incomparably better than do those
natures, which are either brutish and incapable of knowing truths or completely
destitute of sensation and knowledge.”
-“Since God himself
is the greatest and wisest of all minds, it is easy for him to judge that the
beings with whom he can, so to speak, enter into conversation, and even into
society—by communicating to them his views and will in a particular matter and
in such a way that they can know and love their benefactor—must be infinitely
nearer to him than all other things, which can only pass for the instructions of
minds.”
36. God is the
monarch of the most perfect republic, composed of all minds, and the happiness
of this City of God is his principal purpose.
37. Jesus Christ has
revealed to men the mystery and admirable laws of the kingdom of heaven and the
greatness of the supreme happiness that God prepares for those who love him:
(end)
2.
The Principles of Philosophy,
or
The Monadology [post, 1714]:
The former title is
probably the one Leibniz intended, but the work is generally known by the latter
title, which it received from an 18th century editor.
I think the work may be broken down into the following parts:
(A) 1-9
Simple substances.
(B) 10-18 Change.
(C) 19-48 Souls,
Eternal Truths, and God.
(D) 49-60 Created
things [Creatures] and their regulation.
(E) 61-81
Composites.
(F) 82-90 Morality.
I will be paying
particular attention to the “stared” sections.
(A) 1-9: Simple
Substances:
*1. The
monad is nothing else than a simple
substance.
*2. There must be
simple substances because there are composites; for a composite is nothing else
than a collection or aggregatum of
simple substances.
-Note
the “oddity” of this beginning point.
Since he is a rationalist, one could assume that he wouldn’t want to
offer such an a posteriori rationale!
Contrast his “beginning point” with Descartes’ and Spinoza’s.
*3. Now, where there
are no constituent parts there is possible neither extension, nor form, nor
divisibility. These monads are the
true Atoms of nature, and, in fact, the Elements of things.
-Here, we are back
on the rationalist track, the claim is a deductive consequence of the first
proposition above.
4. There is no way
conceivable by which a simple substance can perish through natural means.
5. Nor can monads
come into being through natural means.
6. The existence of
monads can begin or end only all at once.
Composites, however, begin or end gradually.
*7. There is also no
way of explaining how a monad can be altered or changed in its inner being by
any other created thing, since there is no possibility of transposition within
it, nor can we conceive of any internal movement which can be produced,
directed, increased, or diminished there within the substance, such as can take
place in the case of composites where a change can occur among the parts.
Monads have no windows!
8. Nonetheless,
monads must have some qualities, otherwise they would not even be existences.
They must differ in qualities otherwise they would all be alike.
*9. Principle of the
Identity of indiscernibles.
(B) 10-18: Change:
*10. “I also take it
for granted that every created being, and consequently the created monad, is
subject to change, and even that this change is continual in each thing.”
-Note the “assumption”
here! We have a “new” topic here.
Is this “given” a priori or
a posteriori?
Note again the difference between his “beginning points” and those of
Descartes and Spinoza.
-In his “Rorarius,”
Pierre Bayle maintains that: “it is clearly conceivable that a simple being will
always act uniformly if not hindered by some external cause.
If it were composed of several parts, like a machine, it would act
diversely because the particular activity of each piece might change the course
of that of the others at any moment.
But in a unified substance, where can you find the cause of the change of
its operation?”[20]
*11. The natural
changes of the monad come from an internal principle, because an external cause
can have no influence upon its inner being.
-Here, again, we are
“on the rationalist track!”
Deductive consequences of what was said above.
*12. “...there must
be a diversity in that which changes,
which produces...the specification and variety of simple substances.”
*13. Since every
natural change takes place by degrees, there must something which changes and
something which remains unchanged, and consequently there must be in the simple
substance a plurality of conditions and relations, even though it has no parts.
*14. The changes are
called perceptions.
They are to be distinguished from
apperceptions, or consciousness.
*15.
Appetition is the internal principle
of change.
16. We all
experience a multitude within the simple substance which is ourselves.
*17.
Perception is inexplicable by mechanical
causes. Imagine a machine large
enough to go inside—we would never see anything resembling perception.
“Furthermore, this is all one can find in the simple substance—that is,
perceptions and their changes.”
(C) 19-48: Souls,
Eternal Truths, and God:
*19. The general
name of monad or entelechy will be used for
simple substances which have only
perception, while he reserves the term “soul”
for those whose perception is more
distinct and is accompanied by memory.
*20-29. The
distinctions between simple substances and souls is marked out by the sorts of
characteristics which the Monads in question have.
The simplest substances will have limited perceptions and lack memory
altogether. Some souls will have
memory at times and lack it at other times (for example, dreams).
Each monad’s present is big with its future.
*29. “But
the knowledge of eternal and necessary
truths is what distinguishes us from mere animals and gives us reason and
the sciences, by raising us to a knowledge of ourselves and of God”—we are
rational souls.
30. Reflective
acts—knowledge of necessary truths.
*31-32. The basis of
our reasoning—the principles of
contradiction and sufficient reason:
*33. Truths of
reason:
Truths of fact:
necessary,
contingent,
opposites are impossible.
opposites are possible.
*34-35. Axioms and
postulates: “...primitive principles,
which cannot be proved and which no need of proof....the identical propositions[21]
whose opposites involve an explicit contradiction.”
*Sections 36-39:
a posteriori proof of the deity’s
existence:
36. There must be a
sufficient reason for contingent truths of fact.
37. This sufficient
or ultimate reason must be outside the
sequence or series of this multiplicity of contingencies.”
38. “...that is why
the ultimate reason for things must be in a necessary substance in which the
detail of the diversity of changes is only eminent, as in its source.
This is what we call God.”
39. “Since this
substance is a sufficient reason for all this diversity, which is utterly
interconnected, there is only one God,
and this God is sufficient.
-Again, note the
difference here between Leibniz and Spinoza—the latter “proves” what the former
asserts!
Cf., sections 44-45 below!
*Sections 40-45:
a priori proof of the deity:
40. God is
unlimited.
41. Thus it follows
that God is absolutely perfect.
42. “...created
things derive their perfections from God’s influence, but...they derive their
imperfections from their own nature, which is incapable of being without
limits.”
-Cf.,
his Theodicy![22]
*43. In God is found
not only the source of existences, but also that of essences.
“...God’s understanding is the realm of eternal truths or that of the
ideas upon which they depend; without him there would be nothing real in
possibilities, and not only would nothing exist, but also nothing would be
possible.”
-In combination with
the following passage, this passage is important, and it is far too easy to
overlook what it says. For Leibniz,
and the other Rationalists, there can be nothing (actual, or possible, real or
essential) outside substance or their deity.
44. “For if there is
reality in essences or possibles, or indeed, in eternal truths, this reality
must be grounded in something existent and actual, and, consequently, it must be
grounded in the existence of the necessary being, in whom essence involves
existence, that is, in whom possible being is sufficient for actual being.”
45. “Thus God
alone...has this privilege, that he must exist if he is possible....”
-Here we have the
a priori proof which is different
from the a posteriori proof given in
36-39! [N.B.: proper emphasis can
have this version of the ontological proof deal only with perfection and
limitation and can give it the “uniqueness proof” which Spinoza supplies {by
appealing to the principle of the identity of indiscernibles}].
-Note,
however, that there is a significant difference in this version of the
ontological argument: it maintains that
if possible, then the deity is necessary.
This raises the question, which, to his credit, he tries to answer: “is
the deity a possible thing?”
Impossible things, here, would be things whose essence involve contradictions
(round squares, married bachelors, etc.).
Leibniz argues that “...nothing can prevent the possibility of what is
without limits, without negation, and consequently without contradiction, this
by itself is sufficient for us to know the existence of God
a priori.”
--In his “The
Ontological Argument,” William Rowe questions whether the deity is a “possible
thing:” “...the positive integer than which none larger is possible is an
impossible object. Perhaps this is
also true of the being than which none greater is possible.
That is, perhaps no matter how great a being may be, it is possible for
there to be a being greater than it.
If this were so, then. Like the integer than which none larger is
possible...God would not be a possible object.
The mere fact that there are degrees of greatness, however, does not
entitle us to conclude that...God is like the integer than which none larger is
possible. There are, for example,
degrees in the size of angles—one angle is larger than another—but it is not
true that no matter how large an angle is it is possible for there to be an
angle greater than it.” The
question is, then, is God like the integer or like the angle.[23]
*46. Necessary (or
eternal) truths depend upon his
understanding, and are not (as Descartes thought) arbitrary.
Contingent truths depend on his
will (and on the principle of
fitness, or the choice of the best.
Cf., sections 53-55.
48. God: power,
knowledge and will.
(D) 49-60: Created
Things [Creatures] and Their Regulation:
49. Created things
[Creatures] act outwardly insofar as they have perfection, and are acted upon by
another insofar as they are imperfect.
*50. One created
thing is more perfect than another when we find in the first that which gives an
a priori reason for what occurs in
the second.
*51. In the case of
simple substances the influence which one monad has upon another is only
“ideal.” There really is a
primal regulation.
**53-55. There are
an infinity of possible universes in the ideas of the deity, and only one of
them can exist, thus there must be a sufficient reason for the choice of God
which determines him to select one rather than another—this is his
principle of perfection/best.
-*55. God’s wisdom
permits him to know the best; his goodness causes him to choose it; and his
power enables him to create it.
56. Each monad
“mirrors the world.”
58. The greatest
variety and order is, thus, achieved.
59. Universal
Harmony!
60. Monads are
limited not in the object they would represent, but in their capacity to
represent.
(E) 61-81:
Composites and Their Regulation:
Composites are
apparent collections of monads.
Since monads don’t actually interact, however, these collections are
merely “ideal” or “phenomenal” [apparent]—it might seem that such “collections”
would be merely arbitrary groupings,
but Leibniz does not think so.
Indeed, we find that each collection has a “dominant” monad—if you note that
each monad is related (although “ideationally” rather than “causally” to the
others,[24]
then this notion of dominance will make some sense.
Thus the general in an army on its way to battle knows the big picture
and the general movement of the army (as well as the reasons for such
movements), while the humble private may not know much of what is going on in
the larger battlefield.
61. Composites fill
a continuum.
*62. Composites
reflect the whole universe though they reflect one spot in the universe more
fully.
*64. Bodies are
composites of an infinitude of monads.
*70. Every living
body has a dominating entelechy,
which in animals is the soul. The
parts of this living body are full of other living beings, plants and animals,
which in turn have each one its entelechy or dominating soul.”
76. No generation or
decay of monads.
*78. These
principles furnish the means of explaining on natural grounds the union, or
rather the conformity between the soul and the organic body.
The soul follows its own laws and the body likewise follows its own laws.
They are fitted to each other in virtue of the preestablished harmony
between all substances, since they are all representations of one and the same
universe.
79. Souls act in
accord with the laws of final causes.
Bodies act in accord with the laws of efficient causes.
(F) 82-90: Morality:
*82. Souls.
*83. Souls mirror
the deity.
*84. Souls are
capable of entering into a social
relationship with god.
-What can he mean by
‘social’—these monads can't interact!
Clearly the meaning must be that they have “social” predicates!
*85. The totality of
spirits compose a city of god.
86. City of god is a
moral world within a natural world.
87. There is a
harmony of these two worlds.
*90. There will be
no good action unrewarded and no evil action unpunished; everything
must turn out for the well-being of
the good.
-What can ‘reward’ and
‘punishment’ be for such monads?
Clearly, again, it is a matter of predication!
(end)
3.
Appendix on the
Traditional Conception of Substantial Forms:
As noted above in a
footnote above, in his “Forma,” William Frankena offers the following definition
of “substantial forms:”
...that constitutive
element of a substance which is the principle or source of its activity and
which determines it to a definite species, or class, and differentiates it from
any other substance.[25]
In his
“Introduction,” Paul Janet maintains that:
when Descartes, in
the first half of the seventeenth century, said that there are only two kinds of
things or substances in nature, namely, extended substances and thinking
substances, or bodies and spirits; that, in bodies, everything is reducible to
extension with its modifications of form, divisibility, rest and motion, while
in the soul everything is reducible to thinking with its various modes of
pleasure, pain, affirmation, reasoning, will, etc...; when he in fact reduced
all nature to a vast mechanism, outside of which there is nothing but the soul
which manifests to itself its existence and its independence through the
consciousness of its thinking, he brought about the most important revolution in
modern philosophy. To understand
its significance however an account must be given of the philosophical
standpoint of the time.
In all the schools at that time
the dominant theory was that of the Peripatetics [Scholastic Aristotelians],
altered by time and misunderstood, the theory of
substantial forms.
It posited in each kind of substance a special
entity which constituted the reality
and the specific difference of that substance independently of the relation of
its parts. For example, according
to a Peripatetic of the time, “fire differs from water not only through the
position of its parts but through an entity which belongs to it quite distinct
from the materials. When a body
changes its condition, there is no change in the parts, but one form is
supplanted by another.”[26]
Thus, when water becomes ice, the Peripatetics claimed that a new form
substituted itself in place of the preceding form to constitute a new body.
Not only did they admit primary or basal entities, or substantial forms
to explain the differences in substances, but for small changes also, and for
all the sensible qualities they had what they called
accidental forms: thus hardness,
heat, light were beings quite different from the bodies in which they were
found.
To avoid the difficulties inherent
in this theory, the Schoolmen were led to adopt infinite divisions among the
substantial forms. In this way the
Jesuits of Colmbre admitted three kinds of these forms: first, the being which
does not receive its existence from a superior being and is not received into
the inferior subject,—this being is God; second, the forces which receive their
being from elsewhere without being themselves received into matter,—these are
the forms which are entirely free from any corporeal concretion; third, the
forms which depend in every respect, which obtain their being from a superior
cause and are received into a subject,—these are the accidents and the
substantial forms which determine matter.
Other Schoolmen adopted divisions
still more minute and distinguished six classes of substantial forms, as
follows: first, the forms of primary matter or of the elements; second those of
inferior compounds, like stones; third, those of higher compounds, like drugs;
fourth those of living beings, like plants; fifth, those of sensible beings,
like animals; sixth above all the rest, the reasoning (rationalis)
substantial form which is like the others in so far as it is the form of a body
but which does not derive from the body its special function of thinking.
Some have thought, perhaps, that
Moliere, Nichole, Malbranche and all those who in the seventeenth century
ridiculed the substantial forms, calumniated the Peripatetic Schoolmen and
gratuitously imputed absurdities to them.
But they should read the following explanation, given by Toletus, of the
production of fire: “The substantial form of fire,” says Toletus “is an active
principle by which fire with heat for an instrument produces fire.”
Is not this explanation even more absurd than the
virtus dormitiva?
The author goes on to raise an objection, that fire does not always come
from fire. To explain this he
proceeds, “I reply that there is the greatest difference between the accidental
and the substantial forms. The
accidental forms have not only a repugnance but a definite repugnance, as
between white and black, while between substantial forms there is a certain
repugnance but it is not definite, because the substantial form repels equally
all things. Therefore it follows
that white which is an accidental form results only from white and not from
black, while fire can result from all the substantial forms capable of producing
it in air, in water or in any other thing.”
The theory of substantial or
accidental forms did more than to lead to nonsense like the above; it introduced
errors which stood in the way of any clear investigation of real causes.
For example, since some bodies fell toward the earth while others rose in
the air, it was said that gravity was the substantial form of the former and
lightness of the latter. Thus heavy
and light bodies were distinguished as two classes of bodies having properties
essentially different, and they where kept from the inquiry whether these
apparently different phenomena did not have an identical cause and could not be
explained by the same law. It was
thus, again, that seeing water rise in an empty tube, instead of inquiring under
what more general fact this phenomena could be subserved, they imagined a
virtue, an occult
quality, a
hatred on the part of the vacuum, and
this not only concealed the ignorance under a word void of sense but it made
science impossible because a metaphor was taken for an explanation.
So great had become the abuse of
the substantial forms, the
occult qualities,
the sympathetic virtues, etc., that
it was a true deliverance when Gassendi on the one hand and Descartes on the
other founded a new physics on the principle that there is noting in the body
which is not contained in the mere conception of bodies, namely extension.
According to these new philosophers, all the phenomena of bodies are only
modifications of extension and should be explained by the properties inherent in
extension, namely, form, position, and motion.
Upon this principle nothing happens in bodies of which the understanding
is not able to form a clear and distinct idea.
Modern physics seems to have partially confirmed this theory, when it
explains sound and light by movements (vibrations, undulations, oscillations,
etc.), either of air or of ether.
It has often been said that the
march of modern science has been in the opposite direction from the Cartesian
philosophy, in that the latter conceives of matter as a dead and inert substance
while the former represents it as animated by forces, activities and energies of
every kind. This it seems to me is
to confuse two wholly different points of view, that is the physical and the
metaphysical points of view. The
fact seems to be that from the physical point of view, science has rather
followed the line of Descartes, reducing the number of occult qualities and as
far as possible explaining all the phenomena in terms of motion.
In this way all the problems tend to become problems of mechanics; change
of position, change of form, change of motion—these are the principles to which
our physicists and our chemists have recourse whenever they can.
....For the physicist and for the
chemist, forces are only words representing unknown causes.
For the metaphysician they are real activities.
It is metaphysics, therefore, and not physics which is rising above
mechanicalism. It is in metaphysics
that mechanicalism has found, not its contradiction, but its completion through
the doctrine of dynamics. It is
this latter direction that philosophy has taken since Descartes and in this the
prime mover was Leibniz.[27]
[1] Daniel
Garber and Roger Ariew, introductory comment to
their translation in
Discourse
on Metaphysics and Other Essays, trans. and
eds. Daniel Garber and Roger Ariew
(Indianapolis: Hackett, 1991), p. 1.
See footnote 12 below for more
information on the Leibniz-Arnauld
correspondence.
[2]
Cf.,
Bertrand Russell,
A
Critical Exposition of the Philosophy of Leibniz
[1900, 1937] (Cambridge: Cambridge U.P., 1990),
pp. xiii-xiv.
[3] Peter
Lucas and Leslie Grint, “Introduction” to their
translation of
Leibniz’
Discourse on Metaphysics (Manchester:
Manchester U.P., 1953), pp. xiii-xxix, p. xiv.
[4]
Ibid.
[5] This
division is, largely, seconded by Richard
Woolhouse and Richard Francks, in their “Summary
of the Text,” which precedes their translation
of the
Discourse, in
G.W.
Leibniz: Philosophical Texts, trans. Richard
Francks and R.S. Woolhouse (Oxford: Oxford U.P.,
1998), p. 53.
[6]
Ibid.
[7] Emphasis
added to text twice.
[8] David
Blumenfeld, “Perfection and Happiness in the
Best Possible World,”
in The
Cambridge Companion to Leibniz, ed. Nicholas
Jolley (Cambridge: Cambridge U.P., 1995), pp.
382-410, p. 386.
[9]
Ibid.,
p. 389.
[10] The
translators’ note indicates that the term
(coined by John Duns Scotus [~1270--1308] means
“individual essence”—a thing’s “thisness” (as
contrasted with its “suchness”).
It would be that which makes this
particular philosophy professor me
(my “thisness”) rather than what makes me,
generically, a philosophy professor (a
member of such a class).
Emphasis (bold) added to the passage.
[11] In his
“Forma,” William Frankena offers the following
definition here: “...that constitutive element
of a substance which is the principle or source
of its activity and which determines it to a
definite species, or class, and differentiates
it from any other substance” [contained in
Dictionary of Philosophy (Fifteenth
Edition), ed. Dagobert Runes (N.Y.:
Philosophical Library, 1960, p. 111].
[12]
Cf.,
Antoine Arnauld, “Letter to Count Ernest von
Hessen-Rheinfels,” March 13, 1686, in
“Correspondence Relating to the Metaphysics,”
trans. George Montgomery, in
Leibniz:
Basic Writings (LaSalle: Open Court, 1968),
pp. 67-248, p. 74.
[13] Leibniz,
“Correspondence Relating to the Metaphysics,” in
Leibniz:
Basic Writings,
ibid.,
p. 132.
[14]
Ibid.
[15]
Ibid.,
pp. 187-188.
[16] Peter
Lucas and Leslie Grint, “Introduction,”
op. cit.,
pp. xxiii-xxiv.
[17] That is,
“a thing that is completely self-sufficient,” or
“a being that derives its being from itself.”
[18] That is,
mercury.
[19] Damaris
Cudworth [Lady Marsham], “Selections from her
Correspondence with Leibniz,” [3, June 1704] in
Women
Philosophers of the Early Modern Period, ed.
Margaret Atherton (Indianapolis: Hackett, 1994),
pp. 81-85, p. 83.
[20] Pierre
Bayle, “Rorarius,” in his
Historical and Critical Dictionary [1697],
trans. and ed. Richard H. Popkin (Indianapolis:
Hackett, 1991), p. 239.
[21] That is,
logical truths where the subject and predicate
are readily seen to be “identical”—for example:
“Squares have four sides,” or “Simple substances
have no parts.”
[22] Among
other places, Leibniz’
Theodicy
[1710] may be found
in The
Philosophy of the 16th and 17th
Centuries, ed. Richard H. Popkin, op. cit.,
pp. 333-339.
[23] William
Rowe, “The Ontological Argument,” in
Reason
and Responsibility [seventh edition], ed.
Joel Feinberg (Belmont: Wadsworth, 1985), pp.
8-17, p. 12.
[24] That is,
the “connections” between the monads are not
causal ones, but rather deal with the
inter-relatedness of the truths which they
“mirror.”
That is, they are connected ideationally.
The connections between individual monads
are like the connections between the various
characters in the Sherlock Holmes corpus—Arthur
Conan Doyle did not have to use the same
detective over and over (Agatha Christie, for
example, does not),
nor did he have to assign him consistent
characteristics from book to book.
But having so conceptualized the
character, there is a connection between the
Sherlock of the first and the Sherlock of the
last novels.
Of course, there is no
causal
connection, instead the connection is in the
ideas and the will of the author!
[25] William
Frankena, “Forma,” in the
Dictionary of Philosophy, op. cit., p. 111.
[26] Janet
cites L.P. Lagrange as follows:
Les
Principes de la Philosophie contre les Nouveaux
Philosophes.--See Bouillier’s
Historie
de la Philosophie Cartesienne, Vol. I. Chap.
26.
[27] Paul
Janet, “Introduction,”
to
Leibniz: Discourse on Metaphysics,
Correspondence With Arnauld, and Monadology,
trans. George Montgomery (LaSalle: Open Court,
1968), pp. vii-xxiii, p. vii-x.
Last revised on: 12/01/2014.