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Encounters in Law and Philosophy
Stephen
CONNELLY
LEIBNIZ:
A CONTRIBUTION
TO THE
ARCHAEOLOGY
OF POWER
Leibniz:
A Contribution to
the Archaeology of Power
ENCOUNTERS IN LAW AND PHILOSOPHY
SERIES EDITORS: Thanos Zartaloudis and Anton Schütz
General Advisor
Giorgio Agamben
Advisory Board
Clemens Pornschlegel, Institut für Germanistik, Universität München,
Germany
Emmanuele Coccia, Ecole des Hautes Etudes en Sciences Sociales, France
Jessica Whyte, University of Western Sydney, School of Humanities and
Communication Arts, Australia
Peter Goodrich, Cardozo Law School, Yeshiva University, New York, USA
Alain Pottage, Kent Law School, University of Kent, UK and Sciences Po,
Paris
Justin Clemens, University of Melbourne, Faculty of Arts, Australia
Robert Young, NYU, English, USA
Nathan Moore, Birkbeck College, Law School, University of London, UK
Alexander Murray, English, Queen’s University Belfast, UK
Piyel Haldar, Birkbeck College, Law School, University of London, UK
Anne Bottomley, Law School, University of Kent, UK
Oren Ben-Dor, Law School, University of Southampton, UK
edinburghuniversitypress.com/series/enlp
LEIBNIZ:
A CONTRIBUTION
TO THE
ARCHAEOLOGY
OF POWER
Stephen Connelly
For Rose
A CIP record for this book is available from the British Library
Illustrations vi
Acknowledgements vii
List of Abbreviations viii
Introduction 1
1. From Trinity to Mind: The Intensional Basis of
the Law 14
2. Potency and Supposita 61
3. Will: The Scholastic Heritage 88
4. Will, Power and Pretensionality 108
5. Ars Combinatoria as Urdoxa 148
6. A New Method of Teaching Law 195
7. Power and Obligation in the 1660s 228
8. Power and Obligation in the Elementa Iuris
Naturalis: The State Space 261
Conclusion 310
Bibliography 316
Index 329
Illustrations
Figures
Figure 5.1 L
eibniz’s ‘mobile’ used for explaining
concursus 179
Tables
Table 5.1 Leibniz’s combinatorial terminology 157
Table 5.2 Exponents and complexions 165
Table 5.3 Example of com4nation 167
Table 5.4 Leibniz’s Table ב 169
Table 5.5 Rearranged version of Leibniz’s Table א 170
Table 5.6 Disposition as combination 176
Table 5.7 Leibnizian group of actions 180
Table 5.8 Expanded Leibnizian group of actions 181
vi
Acknowledgements
vii
Abbreviations
viii
Acknowledgements
M: André Robinet (ed.), Leibniz Monadology (Paris: PUF, 1954)
references are to the paragraph number.
NE: Peter Remnant and Jonathan Bennett (eds), New Essays
on the Human Understanding (Cambridge: Cambridge
University Press, 1996)
Ri: Patrick Riley (ed.) The Political Writings of Leibniz
(Cambridge: Cambridge University Press, 1972)
ix
Introduction
1
Leibniz: A Contribution to the Archaeology of Power
polestar of power; rather, his rearticulation of activity, power
and modality is motivated at least in part by the conflictual
relationships between Reformed and Scholastic theology,
between natural law and natural right, and between mecha-
nistic natural philosophy and human freedom. Any account
of Leibniz’s views on power must situate him in his context.
To guide this investigation: I pose the following overarch-
ing questions:
2
Introduction
problems with which the German thinker engages. This is
methodologically justified not least because Leibniz’s move-
ment of the chess pieces of activity and power are subtle,
and can only be clarified, and in the case of potency, iden-
tified, when thrown into archaeological relief. Given the
sheer volume and richness of Leibniz’s work, it has proved
necessary to impose certain boundary conditions to achieve
this. Temporally, I have limited myself to Leibniz’s early and
middle periods (roughly 1663–79 and 1680–1700). The subject
matter is focused on, if necessarily not limited to, Leibniz’s
legal theory, and this determines also a focus within our time
period. Leibniz’s key jurisprudential works are developed
in the early period, and our recourse to the middle years
is largely due to Leibniz’s continued work and emendation
of those texts and the ideas they contain. When we come to
the key jurisprudential texts in this work, I will discuss their
various drafts and subsequent amendments or affirmations
as appropriate. I would also emphasise that I have chosen
not to focus too greatly on Leibniz’s definition of justice as
the charity of the wise. It plays its part in Chapters 7 and 8,
but Leibniz’s theory of justice has been the subject of several
important works, notably by Gaston Grua, Nicholas Riley,
Christopher Johns and René Sève, and on whose work I rely.
My research object is not justice itself, but the ‘how’ of how
we think about law. One might anachronistically say that I
am interested in Leibniz’s theory of how lawyers (should)
make sense of their moral world, though one could also argue
that it is about how Leibniz’s moralised world makes sense for
legal subjects. With the outer scope of this study determined,
this work proceeds as follows.
The first four chapters review some of the metaphysical
assumptions underpinning Leibniz’s legal theory, particu-
larly those pertaining to activity and power. Indeed, the
respective analyses of activity and power might be said to
provide two threads through this work. Chapter 1 introduces
Leibniz’s notion of the suppositum which I trace back through
Scholasticism to certain interpretations of the Aristotelean
metaphysics of activity (energeia). Chapter 2 provides a
broader discussion of activity and its relation to the meta-
physics of power in Aristotle (dunamei) and the Schoolmen
(potentia). I introduce a hermeneutic tool – the square of
3
Leibniz: A Contribution to the Archaeology of Power
ower – w
p hich then provides a framework for what follows.
Chapters 3 and 4 now take up the thread of power and its
relation to the will: Chapter 3 provides Scholastic context
for the theory of the will, while Chapter 4 exposes possible
reasons why Leibniz seeks to bring will and power together
as subalterns of action and endeavour; a move which appears
to demote power from its primary function in Scholastic
thought.
Chapters 5 through 8 are the legal theoretic core of this
work, and here the methodology shifts from a contextualisa-
tion of Leibniz’s early and middle period thinking to a spe-
cific focus on legal texts. Chapters 5 and to a degree 6 might
be said naturally to follow Chapters 1 and 2 in that their main
concern is how the Leibnizian supposit or activity helps us to
understand the central thrusts of both the De Casibus Perplexis
and the Nova Methodus Discendae Docendaeque Jurisprudentiae.
I seek to establish that it is the rational structure of supposi-
tive activity as such which motivates Leibniz’s claims as to
a commonality in juridical reasoning and a need for a teach-
ing of law through reflecting the innate structures of this
activity. These legal texts, however, also indicate develop-
ments in Leibniz’s thought whereby he begins to elaborate
the complementary function of the world, or state space, in
which this jurisprudential activity takes place. Chapters 7
and 8 engage in a detailed reading of the various versions of
Leibniz’s Elementa Iuris, seeking to show in particular how
Leibniz’s theory of will and potentia (Chapter 4) presupposes
such a concept of primary matter, or primary passive force,
which in the juridical context may called a ‘state space’. This
state space replaces the concept of potentia inherited from the
Schoolmen. Against the background of modal theory, I argue
in particular that appreciation of the role of the state space
allows us to understand the function of universal obligation
and prohibition in Leibniz’s thinking, and their difference
from the particular rights of legal actors.
My overall argument will amount to describing the follow-
ing arc. With the doctrine of the actus purus essendi, Aquinas
establishes that a self-actualising activity, such as the being
of God, amounts to a power (potentia) in this sense: it stands
as an exemplary principle and so cause for all other substan-
tial activities. This reconceptualisation of power runs against
4
Introduction
the Aristotelean division between activity and in-potency,
in which in-potency has the character of a deficiency. The
Thomist theory of power goes through several mutations
at the hands of thinkers such as Duns Scotus and Suárez,
and is put in particular issue through the philosophies of
Hobbes and Spinoza, who transform power from a divine
principle to something possessed by all humans in different,
physically (and natural legally) determined ways. Faced with
these transformations, Leibniz appears to reaffirm Aristotle’s
metaphysics: he advances a theory of the supposit or subject
as self-actualising activity shared in some way by God and
rational creature. At the same time he relegates potentia to
a specific expression of endeavouring (conari), and further-
more contrasts it with acting and its expression in will. Here
he meets the material philosophers of power, Hobbes and
Spinoza, halfway by understanding power as a determina-
tion of substantial activity but also as a potency that can
be appropriated for the purposes of the actualisation of the
individual. The effect of this relegation, however, appears
to produce an imbalance in Leibniz’s metaphysics. Like his
Scholastic and natural legal predecessors (such as Grotius) he
looks to external determination as the source of potentia, for
it must come from without if it is to be appropriated. But if
particular actions derive from substantial activity, where do
particular powers derive from, if not some primary potency?
The pre-Leibnizian history of power seems to have at least
this unity: that there is a primary potency at work which is
suffered by finite creatures as their God and/or their World.
As I follow Leibniz’s thinking on the supposit and potentia
into their applications in the legal texts, we will find that
Leibniz reconceptualises what may once have been under-
stood as power under a new name: the state space. It amounts
to Leibniz internalising the externality of potentia within each
substance as its moral world, and placing on each practical
agent a universal set of obligations and prohibitions defined
by that world. It is this internalised universal moral world
which, I claim, is Leibniz’s most novel contribution to the
concept of power and which sets the stage for Kantian practi-
cal philosophy.
5
Leibniz: A Contribution to the Archaeology of Power
A technical comment
The central drive of the first four chapters will be to establish
the framework which underpins Leibniz’s legal theory, prin-
cipally by situating it within the history of the concepts of
activity, potency, formality and reality. All these terms and
their Scholastic and Leibnizian cognates will be introduced as
I proceed, but there are four key logical terms which I employ
that are modern, and while they have cognates in Leibniz’s
thought, I believe the best course of action is to lay bare my
interpretation of these terms from the outset, at least so that
the reader be notified of their significance for the author, but
hopefully also to avoid any confusion for those of a legal
background who may encounter them for the first time. The
terms are these:
(a) extension;
(b) intension;
(c) pretension; and
(d) contension.
6
Introduction
of objects; and the sort of thing it is blind to: relationships
between objects.
Historically, extensionality proved popular from the late
nineteenth century onwards following the set-theoretical
innovations of Cantor, particularly among the logical posi-
tivists in the Anglosphere. The weight and admitted bril-
liance of this heritage can therefore skew our appreciation
of the import and priority of extensionality as a logico-
philosophical basis, and may indeed render one blind to the
possibility of the existence of other logical bases for philoso-
phy prior to Cantor (or at all). Alain Badiou admits as much
in Logics of Worlds. His astonishing Being and Event provided
a set-theoretical account of ontology which lost nothing of the
vitality of Cantor’s original discoveries, but, as noted above,
set theory is blind to relationships between objects and as
an ontological tool in the hands of the unwitting it can have
all the power of a kitchen blender: it makes great soup but
at the expense of texture. To Badiou’s credit Logics of Worlds
attempts among other things to supplement a set-theoretic
ontology with a logic of relations based on the powerful
mathematical toolkit known as category theory. The logical
aspect of this theory – categori(c)al logic – could be defined
in contradistinction to set theory as that logic which is con-
cerned not with the contents of objects, but only with the
relationships between them.
Consider the following object: (4, 4, 4), which we will call
a list. The important point about a list as we define it here is
that there is an order and a length. Speaking purely in terms
of relationships there are three objects related together here,
and they are in the order shown. (4, 4, 4) is not equivalent to
(4) or any other list of 4s save (4, 4, 4) because no other list
relates exactly three objects in that way.
When we assess equivalence by reference to relationships
alone, this can be named intensional equivalence.6 Intensional
equivalence is critical to understanding Leibniz’s thinking,
though this may not yet be apparent from that first example.
An intuitive way of thinking about intensionality is to think of
intensions as arrows indicating relationships. Take a lecture
theatre with 100 seats. At 10am there is a lecture on property
law for 90 students. We can assign each student to the seat
they decide to sit in using arrows, one from each student
7
Leibniz: A Contribution to the Archaeology of Power
to their respective seat. At 11am, by some cruel administra-
tive fate, the same students are to attend a lecture in the
same theatre on company law. The students may stay in the
same seats or move around in the break between lectures.
We can compare the two seating arrangements student →
seat by comparing the arrows or relationships at 10am with
those at 11am. If they are the same in the case of each arrow
– if each student chooses the same seat each time – then the
two collections of relationships are said to be intensionally
equivalent. Now you might naturally think of these arrows
as simply placing student and seat side by side in a list, but it
is far better to think of the movement of each student to a seat
to grasp the active sense of intensionality.
Another example from physics: a heavenly body in the
cosmos as understood by Descartes and Leibniz. We are not
interested in the content of the planet; just where it is now
and where it is going to. Over time the planet moves from
its initial position p0 through space to some final reference
position pt, and we could describe that motion with an arrow,
like this: p0 → pt. This motion discloses two important things.
First, that the planet arrives at point t depends entirely on its
motion beginning at point 0 and is conditioned by it. However,
second, this conditioning tells us that the motion or arrow
itself is translatable to anywhere in space. The relationship
symbolised by the arrow has a generalisable aspect also. This
generalisable motion or arrow is the relationship between
the two states of the planets (or whatever bodies), and it is
this arrow or movement which intensionality concerns itself
with. How then can we ensure that our arrow p0 → pt speci-
fies just this heavenly body and not another? Remember, we
have refused to look at the object itself to do this; only its
relationships. Well, one way to identify just this heavenly
body is to do just what Descartes did: ask not only where
the heavenly body is going, but also how it arrived at its
starting point in the first place. So now we have two arrows:
p0 → pt proceeding from our object, and also 0 → p0 which is
an arrow from some arbitrary reference point for all objects
called the ‘origin’. In this way all objects are identified by
reference to the origin and their next movement. So, another
naïve way of thinking about intensional equivalence is to
say: two objects are equivalent if they have the same arrows
8
Introduction
pointing at them (if any) and the same arrows pointing from
them (if any).
In our primary area of focus – matters of jurisprudence –
we find Leibniz interested in conditional relationships which
are structurally similar to physical motions. Leibniz defines a
conditional proposition as having the following ‘content’: that
if the prior is true, the posterior is true.7 In modern language
this amounts to saying: if condition p0 then consequence pt,
or again p0 → pt. In like manner the consequential relation is
generalisable, and indeed we may well ask: we are assuming
condition p0, but what is the origin of that condition p0, or in
more natural language, if condition p0 caused the effect, what
caused condition p0 (and so on)?
For the purposes of interpreting Leibniz, it is enough
to grasp this naïve notion that Leibniz is interested not in
the extensional content of objects, but the relationships or
arrows between them, and that these arrows represent v erbs
– movements of being, of thought and of (physical) action.
We shall see that if one strictly ignores extensional difference
one can posit a metaphysics in which substances are not con-
tained in a single ‘world’; that each substance can constitute
its own world without windows on the others, provided that
all the intensional information defining each substance’s rela-
tionships in that world is equivalent.
Pretensionality plays almost as great a role in this work
as intensionality. The neologism is suggested by Leibniz’s
consistently stated thesis that the possible pretends or claims
(prétend) to exist. As we shall see in detail in Chapter 4, it
is not so much the possible that actively pretends to exist-
ence; rather, the possible only pretends to existence under
the action of some entelechy (the End). For Leibniz that entel-
echy is mediately the more or less perfect rational mind, and
ultimately the wholly perfect actuality of God. This duality
is essential, for merely formal possibility is nothing unless a
self-actualising substantial form determines a global purpose
for this possibility: the actualisation of the substantial form.
In this way every compossible logical possibility is subject
to a valuation with respect to its dominant substantial form,
a valuation apprehended as ‘its’ pretension to exist. What is
best is referred to the perfection of a substantial form, though
it may appear to be claimed by and move from the possibility.
9
Leibniz: A Contribution to the Archaeology of Power
Pretensionality concerns the relationship between an object
and a principle, or innate idea. The most concise and power-
ful example of this notion can already be found in the first
Proposition of Proclus’ Elements of Theology: ‘there can be no
multiplicity which does not participate in unity’. According
to one perspective, and here Cantor and Badiou spring to
mind again, this proposition includes the claim that a multi-
plicity cannot be unless it is submitted to the action of unifica-
tion. In other words, as subsequent propositions reveal, it is
the action of the One to evaluate the multiplicity of primary
matter and make of it an intelligible being as a collection of
discrete units or simplest forms. Yet this action is not opera-
tive or causal, but participative. Matter moves towards unity
in the exemplary presence of the One. In this example we see
that each discrete unit is defined only by its having become
a discrete unit, and that as such its claim to existence is as
good as any other such u nit – they are exchangeable with
respect to value. We thus have a notion of particular preten-
sional equivalence, though if we are strict, we should compare
the universal pretensional valuations of two entelechies to
determine whether these entelechies are equivalent. Let us
imagine, for example, some discrete units of wood and metal
nails. Then we may also posit a unity which combines these,
which we call a table. In one sense the table has just as much
unity as each piece of wood and each nail, but in another
crucial sense, the unity of the table composes more subordi-
nate unities within itself. The table simply acts to be a table,
but its composing unities are brought under that activity
and function to support its actualisation. Observe that each
nail could have done a great many things (been used in a
door or a fence), and that we might describe these possible
uses as ‘degrees of freedom’. Well, now this nail functions as
part of a table, and in this restriction on what a nail can do
by its subordination to the table’s actuality, we can begin to
grasp just what pretension is all about: a certain kind of func-
tional explanation closely linked to relationships of order of
respective components for some actuality. The restriction has
a positive side for the nail, however. For Leibniz there is
no reason why a nail should choose one possible state (in a
door/ in a table etc.). These are simply formal possibilities.
By being related to a table’s actuality – by being subject to
10
Introduction
a pretension – o ne of the nail’s possible states now claims a
right to existence as part of that table. Under pretension the
formal becomes the real.
For its part, the table’s actuality is referred to its capacity
to order and bring unity to these disparate and subordinate
unities, and the more such unities that ‘pretend’ towards tabu-
larity, the more ‘reality’ we say the table possesses. We might
further observe both that each nail itself composes ferrous
molecules, and that the table composes part of human habita-
tion. In this way, each level of combinations may indeed be
combinations of other combinations, and so on to an infinity
in which only the One is capable of providing for unity for all.
By observing the respective structure of these combinations
– how they are respectively ordered in terms of combination
and level – we may draw equivalences between them and
thereby make valuations as to their relative complexity, that
is, the number of composing combinations, which Leibniz
terms their ‘degree of reality’.
Chapter 4 proceeds to account for pretension according to
the way the term is deployed by Leibniz in his philosophy,
and not by means of a logical apparatus that we would need
to impute. The core intuition, though, can be stored for future
use: entelechies as final principles invest matter with preten-
sions to exist, and Leibniz will regard God as the pre-eminent
such entelechy.
What I call contensionality plays less of a role in this work,
although I do not wish completely to exclude its relevance for
understanding Leibniz’s thinking. Briefly, using intensional-
ity, and regarding extensionality as a special minimum case
of intensionality in which intensions are reduced to zero,
one can begin to construct theoretical ‘worlds’ constituted
of objects and such relationships as are desired (subject to
strict criteria which I shall pass over). One such world could
consist of an object ‘1’ and a movement or operation that
says, ‘given object x let there by an object x’ known as its
successor’. Such a world would consist of a central 1 and an
expanding series of branches to successors of 1 in all direc-
tions. We might take the same world and add additional
operations which require that there can be only one, unique
successor of 1 at every step. This world would look like the
system of natural numbers.
11
Leibniz: A Contribution to the Archaeology of Power
Now, both these worlds have objects and relationships, so
are they equivalent? Clearly not given that the latter world
is subject to additional intensional information. Contensional
equivalence is this comparison of the objects and relationships
of a whole world. Remarkably, as Badiou investigates in the
Logics of Worlds, the system of (non-)equivalence relations
between worlds can also be studied, and is in my opinion
one of the most important areas of investigation in logical
foundations. I have chosen the term contensionality to
describe this system of global relationships partly thanks
to a suggestion by the combinatorial logicians Curry, Feys
and Craig8 who suggest ‘contention’ for the logical analysis
of the significance of an object or relationship within one
world by reference to the objects and relations of another
world. Contensionality then is a theory of how meaning and
signification operate, for it deals with the interpretation of
one world by reference to its contextualisation by another.
Academics deploy contensionality all the time: a methodol-
ogy is a contension because it interprets, say, the observed
facts of punishment by reference, say, to the discursive world
of Foucault or the discursive world of positive penal law.
For the purposes of this work contensionality will play only
a negative role, for we will examine how Leibniz seeks to
establish that all moral matters are reducible to the same
juridical activity of God and the same, common world that
he creates.
By way of summary then, the reader should be alive to
the difference between extensional and intensional thinking,
and to the centrality of intensionality – and as the reader will
see, the word ‘intensionality’ can here almost be replaced
with the word ‘activity’ – to Leibniz’s metaphysics. In
Chapter 4 the notion of pretensionality will stand forth as the
theoretical mechanism Leibniz deploys to convert the logi-
cally possible into the real by reference to the entelechies of
finite and divine substantial forms. At the very least, they
become a hermeneutical device for understanding Aristotle’s
entelechies. Yet this technical discussion should be taken as
underpinning the rest of this work, for the principal meth-
odology will comprise a contextualisation (indeed, a conten-
sion!) of Leibniz’s natural legal doctrine within the history of
ideas by reference to primary and secondary literature. This
12
Introduction
discussion amounts to a technical abstraction of key notions
from the contexts in which they emerge in what follows.
Notes
1. Georgio Agamben, Creation and Anarchy: The Work of Art and
the Religion of Capitalism (Adam Kotsko trans.) (Stanford:
Stanford University Press, 2019), p.62.
2. Gwenaëlle Aubry, Genèse du Dieu souverain (Paris: Vrin, 2018);
see also her Dieu sans la puissance: dunamis et energeia chez
Aristote et chez Plotin (Paris: Vrin, 2006).
3. Agamben, Creation and Anarchy, p.63.
4. Ibid. p.63.
5. See Plato’s Crito 47c, cf. Thaetetus 163a, and the antonym in
Gorgias 458b.
6. Not to be confused with intentionality, which is a term of art
both in phenomenology and in the work of Aquinas. I discuss
Aquinas’ use of intentionality in Chapter 1, ‘The distinctions
and unity of Trinity. Mind’.
7. De Conditionibus, A:VI, i, 102, Def.1.
8. Haskell Curry, Robert Feys and William Craig, Combinatorial
Logic Vol. 1 (Dordrecht: N. Holland, 1958).
13
One
From Trinity to Mind:
The Intensional Basis of the Law
1. Introduction
It is strange thing that a philosopher so determined to elabo-
rate a juridical theory justifying the City of God should settle
upon a metaphysics in which individuals are absolutely dis-
joint and separated. How can Leibniz speak of community,
of a kingdom of grace, when a philosophy of perception and
reflection encloses every substantial form within itself and
denies it even windows on the ‘world’? Leibniz’s solution to
this self-imposed restriction is to look not to subject or object
of lived experience, but to look to the very activities of being,
thinking and acting themselves. I propose to examine what I
regard as a critical fragment on the structural equivalence of
Mind and Trinity to establish Leibniz’s reliance on the equiv-
alence of these activities as the basis for community both in
formal and practical spheres. The inner structure expressed
by this fragment will appear at several points in this chapter
as I draw out its significance, and this initial treatment will
pave the way for a complete analysis of the structure itself in
Chapter 2.
My examination is organised according to two interpre-
tative themes. In the first half of this chapter I investigate
the Scholastic doctrine of the supposit, taken up by Leibniz,
and indicate its origin in the doctrine of activity and power
which Aquinas derives from Aristotle via Plotinus. I argue
that Leibniz understands the supposit as a perfected activity
of being, knowing or acting, which is expressed in persons
and phenomena. In the second half of this chapter, I show
how Scholastic debates on being-in-common provide inter-
pretative context for Leibniz’s own account of the commu-
nity of substantial forms. I seek to link the supposit to the
14
From Trinity to Mind
primary or innate ideas that Leibniz discusses in his middle
period to argue that it is the supposit which affords com-
munity between substantial forms. The supposit enables
community, I claim, by means of intensional equivalence:
that kind of equivalence in which we concern ourselves not
with the similarity of various entities that think, nor that of
diverse objects of thought, but rather with the equivalence
of the movement of thinking itself. I also highlight a problem
community raises: if substances are the same in some essen-
tial respect, what continues to differentiate them? The initial
answer of this chapter – that differentiation is due to reality,
and so power – will lead naturally to the investigation of
power and the real in the three chapters that follow.
This work will ultimately permit us, in Chapters 5 and 6,
an interpretation of Leibniz’s jurisprudential theory which
emphasises his claim as to fundamental commonality of
juridical thinking as such. To do this, however, we must
spend some time drawing together the influences which
allowed Leibniz to advance such a doctrine.
15
Leibniz: A Contribution to the Archaeology of Power
Aquinas amongst others thanks to the reception of that part
of Aristotle’s surviving works that passed via the Arab world.
As Étienne Gilson notes, there results a tension between the-
ological orthodoxy concerning a Trinity heavily influenced
by Neoplatonism, and the logical power of the works of
Aristotle, a thinker owing no allegiance to an Abrahamic god.
This tension is most acute in the way Aquinas takes the
Stagirite’s discussion of being (einai) and, as Gilson sug-
gests, ‘extracts the latent order’ in the Metaphysics in order
to explain esse. This, Gilson argues,1 is achieved in three
stages. First, a primary philosophy must take as its object that
which is supremely intelligible, and this object is that which
is common to all other things: being (ens commune). Now
having grasped this common object, our philosophy must
interrogate it, and the route to understanding is via its causes.
Thus the second stage investigates the intelligible causes of all
being. It is a move which abstracts from the sensible given in
favour of the abstract intellectual, and in so doing constitutes
the intellect as replete with formal essences of things. In this
search for the causes of all things the mind comes to rest
on universal causes and, ultimately, the Prime Mover as the
maximally intelligible cause. Third, then, metaphysics seeks
to understand the Prime Mover. We now are dealing not with
a formal idea, but with an actually existing substance, indeed
a substance whose essence is existence and which is cause
of self. This third perspective engages in a description of the
properties of such a Being – notably its activity and power –
and the nature of its causal relations with itself and others.
This Being is the object of metaphysics proper.
One can discern in this analysis the involution that occurs
already in Greek thought, and particularly in the hands of
Plotinus, as Gwenaëlle Aubry has shown. Aristotle’s ana-
lytical discovery of the Prime Mover as an ousia energeia or
perfected activity is inverted such that the perfected activity
of the Prime Mover becomes a dunamis pantôn or power-to-
all that is the principle of a system measured according to
perfection. We have been led to the One and we are invited
now to review the three stages of metaphysical analysis from
an inverse perspective. It is this One, accessible to all rational
souls through metaphysics, which is the ens commune – the
being apprehended in any intellectual act. It is in and for this
16
From Trinity to Mind
One that the intellectual act of delineating the principles of
created things is united with the causal prowess of that very
act, for given that this One is established as cause of every
cause, it possesses immediate access to every such formal
essence. It is this One which is capable even of bringing about
its own actualisation, is capable of rendering concrete and
real that which was merely formal.
Yet the Neoplatonist inversion of the Aristotelean analysis
of being into a cosmological procession from the One remains
problematic for the Abrahamic theologians. Plotinus and
Proclus continue to regard unity as cause of being, and thus
being, its properties, and so divinity, as lower in the order
of reasons; a doctrine wholly untenable for the Christians.
There is need for a further inversion, as we shall see, whereby
being is raised to first principle and takes on the functions of
unity, which is to say the function of unification itself. Being
becomes the means by which all the other metaphysical prop-
erties and attributes are knotted together in God.
We can imagine permutations of three key terms within
this metaphysics: being, activity and power. Gwenaëlle
Aubry has succinctly shown how the permutation of these
three terms is varied at key moments in the history of phil
osophy prior to Early Modern period:2
17
Leibniz: A Contribution to the Archaeology of Power
as the power (virtus) of its being: God constitutes Himself
as One and Good by a pure act of being, and it is this
actus purus essendi which as organising principle is the
foundation of his absolute power.
18
From Trinity to Mind
3. Trinity. Mind
Sometime during the middle of 1671 Leibniz sketches out
a . . . matrix in which he relates the triune nature of God
to the structure of the mind in act. The Akademie Edition
has named the fragment ‘Trinitas. Mens’, and I follow this
nomenclature:3
19
Leibniz: A Contribution to the Archaeology of Power
distinction from the above, each of which I argue help us to
understand Leibniz’s thinking about law and to contextualise
them in theologico-political debates. These questions are:
20
From Trinity to Mind
– we have a term of art which points us to both a theologi-
cal problem and a subset of possible solutions. To establish
this, my argument proceeds in four stages which require a
contextualisation of the notion of ‘supposit’. First, follow-
ing closely the work of Gwenaëlle Aubry, I describe how
Aristotle develops the notion of ousia energeia to describe the
perfected action of the Prime Mover, and how Aquinas takes
up this metaphysical structure and modifies it by ascribing
power to God in a new way as active potency (potentia activa).
Second, I show how that debate concerning power provides
the framework for interpreting Aquinas’ account of the sup-
posit. I claim not only that for Aquinas a supposit is one of
the markers of a substantial individual, and that it is equiva-
lent to a perfected action productive of power, but also that
Aquinas argues that more than one supposit is active in the
mind of God viz. being, knowing and willing. Third, I use
the foregoing framework to critique Brandon Look’s reading
of Leibniz on the supposit, showing that Look’s account
remains wedded to a form–matter interpretation of Aristotle
which is, given what we have established concerning activity
and power, not appropriate when dealing with ousia energeia.
Finally, I present Leibniz’s own account of the supposit, par-
ticularly in the context of its deployment as part of an argu-
ment concerning transubstantiation.
21
Leibniz: A Contribution to the Archaeology of Power
activity (energeia) of walking implies a sequence of steps;
the respective potentiality of not walking or standing still,
implies individual impediments to progress in a direction.
The latter understanding of what is implied by or subaltern
to ‘not walking’ is designed to indicate the contrary nature
of the implied terms: step and impediment. If the step is
an action, the impediment is a passion with respect to the
action. For this reason, we can speak of these subalterns as
active potency and passive potency. Finally, observe that the
passive potency of the individual impediment is both quali-
tatively different from the particular action (the step) and
qualitatively and quantitatively different from the universal
activity (walking as such). Hence it is also said that the activ-
ity and the passive potency are in contradiction, and the same
can be said for any two terms which are both quantitatively
and qualitatively opposed.
The interplay between energeia and dunamis helps Aristotle
to measure the perfection of things. If the activity is walking,
then the steps are attempts at achieving the end or telos of
having walked (Meta IX [1047a20–30]). The perfected mani-
festation of the activity is its actuality (entelecheia). To the
extent that the activity is not achieved due to impediments
to individual actions, we say that each individual action has
suffered a passion – a passive potency – and that generally
the activity is not perfected but still incomplete and potential
in some way. We can thus envisage a movement from activ-
ity to active potency, and a movement from active potency,
determined by passive potency, back to activity and seeking
to actualise it as entelecheia. A circular process.
From this basic structure Aristotle develops a new usage
that plays on the sense of dunamis: dunamei or in-potency
(Aubry, ‘Ousia energeia’, p.828, see further p. 63). Aristotle
appears to define it as the principle of the motion ordered by
the act that is also that being’s end and its own proper good.9
From the foregoing we see that Aristotle is describing just
that process from activity to action to entelecheia, to the extent
incomplete by virtue of some determination by dunamis.
From these insights, Aristotle has occasion to consider a
substance which is not subject to impediment and so poten-
tiality. Such a substance is an activity which implies a series
of acts and each such act is not determined in any way, such
22
From Trinity to Mind
that all acts are perfected and the activity is fully actualised.
Here there is a complete lack of in-potency (dunamei) such
that the activity of substance is perfected. Aristotle calls this
special limit case ousia energeia10 – essential activity – and calls
the substance which achieves this perfected circular process
the Prime Mover. It is to be observed that while these con-
siderations do use the language of movement, Aristotle is
explicit that his findings extend beyond movement to onto-
logical matters.11
For Aquinas the activity par excellence is being (esse), and
starting not with finite things but with God, his first philoso-
phy arrives directly at that individual who achieves essential
activity with respect to esse. Thus, we are invited to consider
the activity of being and the acts it implies, the elaboration of
a thing’s nature as its essence. Following Aristotle, we could
argue that there is a limit case of an entity which is no way
impeded from elaborating its essence, and in this case the
essence is fully developed and the entity’s being is fully actu-
alised. This said, for Aquinas it is more important that such a
case be not just a possible special case, but that it be necessary.
This is achieved, in Aquinas’ view, by observing that any other
entity may well endeavour to elaborate its nature, but while it
may well order its actions to actualise an activity formaliter – it
may produce all the determinations that define ‘going for a
walk’ – the one thing a finite entity cannot do is give being
to going for a walk. And this for the simple reason that to
suppose otherwise would be to suppose that if the entity can
grant being to ‘going for a walk’, it can grant being to itself
in any respect and so cause itself to be. This, Aquinas holds,
is not the case for finite entities, but it is the very definition
of God. Whereas all other creatures must obtain being from
another source, and so are marked by potentiality (potentiali-
tas) and lack, God’s activity is being, and to elaborate himself
is to actualise that being. The result: his essence does not differ
from his being, needing only his being and nothing else: his
essence is his being (sua essentia est suum esse).12
Now one might question whether Aquinas has advanced
that far from Aristotle’s ousia energeia with this argu-
ment. There are innovations, particularly in the way that
essence shifts from being the aggregate of actions (a static,
elaborated nature) to describing the activity of being in its
23
Leibniz: A Contribution to the Archaeology of Power
self actualisation (the whole process), but perhaps even this
is implicit in ousia energeia, and only appears novel when set
against an interpretation of Aquinas which regards essences
as fixed and definitional. Aubry establishes,13 however, that it
is Aquinas’ next move which achieves the rupture.
We have our circular p rocess – essence as being – but
whereas for Aristotle this defines both a completedness or
lack of potentiality and a certain immobility, Aquinas now
reintroduces power. The circular process becomes itself a
node with respect to which power can be spoken of in a new
sense. Here, in the Summa contra Gentiles in particular,14 termi-
nological distinctions are identified between potentialitas and
words such as posse, potestas and virtus which imply power
in the sense, I would say, of capacity to bring about an action
in another. The central point here is that Aquinas identifies
an ethical character to the perfection of God’s being, in the
Aristotelean sense that others apprehend this perfection as an
excellence and seek to move towards it. It is this procurement
of movement which marks the divine virtus essendi (power
or force of being), but also indicates that the movement does
not flow from God; rather it flows from that second entity
which apprehends this power. On this basis Aquinas and his
followers can speak of an order of eminence graded accord-
ing to degrees of perfection, each creature being measured by
their virtus and being moved to others of greater perfection
according to their measure.
To illustrate his point, we may, as Aquinas does on occa-
sion (and indeed the Neoplatonists on whom he draws), use
the analogy of fire (the sun is the best example) and heat.15
The sun itself, Aquinas will argue, is essentially hot and could
not be itself without this heating activity. In other words, its
power-of-heating is fully actualised for itself. Wood is not
essentially hot but becomes so in the presence of the sun’s
irradiation. It thus receives heat from the flame and becomes
like it according to its potentiality to receive the heat: its power-
for-heating. The sun, however, according to Aquinas’ under-
standing of physics, loses nothing of its heating capacity in
this. It remains immobile and eternally irradiating without
any diminution to this perfected activity.
Thanks to Aubry’s endeavours, we hopefully have been
able to set out a basic metaphysical framework of an activ-
24
From Trinity to Mind
ity which acts and through this perfectly actualises itself.
Furthermore, we understand that esse is the primary activity
to be analysed according to this framework, and that the
perfection of the activity gives rise to a new understanding
of power. My argument will be that the notion of supposit
which Leibniz inherits from Aquinas and the Schoolmen is
built upon this framework of perfected activity implying act,
and act moving to actuality.
25
Leibniz: A Contribution to the Archaeology of Power
also mean a subject or supposit, he appears to introduce a
very strong interpretation of the relevant source. After all,
Aristotle says substance can mean ‘the ultimate substratum’
(hupokeimenon eskhaton) and in the preceding discussion he
gives the traditional Greek examples of earth, fire and water
‘and everything of the sort’. Aristotle adds that he is speak-
ing of the ultimate substratum ‘which is no longer predicated
of anything else’ (rather everything else is predicated of it).
This is perhaps suggestive of a certain materiality, given that
Aristotle exemplifies the definitional meaning of substance
by reference to shape and form.16 It certainly seems a little
surprising that Aquinas should adopt this distinction of
senses of ‘substance’ – as definition and as substrate – and
then so wholly depart from the materialistic sense of sub-
strate in favour of expressive ‘intentions’. Has Aquinas cited
the Stagirite as authority even as he has substituted ‘inten-
tions’ for materiality?
The confusion is avoided on further examination of
Aristotle’s Metaphysics, in light of the readings by Aubry17
and Focillon.18 In Metaphysics VIII Aristotle returns to a con-
sideration of the substrate, seeking to apply the logic of the
categories to his explanatory candidates: matter and form.
His analysis will lead to a proposal for better explanatory
tools, but at this stage Aristotle’s focus is on matter alone and
the argument that matter itself may be investigated for its
behaviour as if it had form beneath that imposed by, say, the
craftsman. The Stagirite’s illustrations are helpful: the matter
of the sea is water, but the smoothness of the sea is also an
aspect of this water.19 Aubry argues20 that it is Aristotle’s
claim that matter is ousia in-potency which sets up the possi-
bility of also considering matter as ousia in act (hos energeian).
In the given example the water is the ousia in-potency; the
smoothness of the water is its actuality which expresses a
kind of form through the matter. In a second example, air
is the ousia in-potency of weather; stillness is the ousia in act
of the air.21 Accordingly substance is said in three senses of
matter as substrate: as ousia in-potency, ousia in act, and the
substance which is the combination of these.22
We have then in the material substrate two possible senses
of substance also, and their combination. Yet Aquinas for
his part is not speaking of matter but of individuals, and
26
From Trinity to Mind
Aristotle is clear that matter lacks the relevant thisness (tode ti)
to constitute an individual. Aquinas is nevertheless drawing
on an argument concerning matter for support. Why? Well it
would seem that Aquinas is following Aristotle in constantly
abstracting from the given as he moves towards a science of
being. Aquinas extracts what is still active from the twofold
distinction within material ousia and combines this with
the formal essence provided by definition. The motivation
appears to be that we are dealing with incorporeal beings,
namely God and minds, and accordingly:
27
Leibniz: A Contribution to the Archaeology of Power
other things which belong to it accidentally; and thus the
supposit is signified according to the whole, whereas the
nature, or quiddity, [is] the formal part. However, in God
alone there is found no accident beyond his essence, for his
existence is his essence, as has been said; and therefore in
God the supposit is wholly identical with the nature. In an
angel, however, it is not wholly identical: for there is some-
thing that belongs to it accidentally beyond what belongs
to the reason of its species, since the existence as such of
the angel is beyond its essence or nature . . . (Emphasis in
original)23
28
From Trinity to Mind
essence is the structure of essentialising causality: the actus
purus essendi.25 Aubry highlights the following from the ST:
‘And since in God there is nothing potential [potentiale] . . .,
it follows that in Him essence does not differ from his being.
Therefore his essence is his being [Sua igitur essentia est suum
esse]’ (ST I, q.3, a.4). This all suggests a shift of focus away
from the result of activity. We are no longer particularly con-
cerned with a static nature which is the product of activity,
but rather with an activity which produces itself. But then
the product is the activity (of being), and accordingly we
focus on an essence which is the activity of being. Returning
to our maritime example, we now look to the propagating
‘waviness’ of waves, or to use Aquinas’ own analogy already
discussed in the preceding subsection, to the thermic activity
of what is hot:
29
Leibniz: A Contribution to the Archaeology of Power
adopt. The texts suggest that only if some non-real distinc-
tion is maintained between supposit and divine essence,
and then between the three supposita, can Aquinas maintain
orthodoxy. We make the following comments on Aquinas’
considerations concerning these three supposita.
Taking his cue from Aristotle,28 Aquinas argues that
knowledge can only come from the actual, not the potential,
and that proof that an intellect knows a thing is measured
by whether it has actualised (we might say ‘demonstrated’)
the thing. But God demonstrates Himself perfectly, thus he
knows Himself completely. Likewise, proof of capacity to
will a thing is measured by actualisation (we might say ‘pro-
duction’) of the thing. God produces Himself perfectly, and
so wills absolutely.29
Aquinas therefore reprises a version of his sua essentia
suum esse argument. The formal distinction between knowing
and willing breaks down in the self-actualisation of God. The
activity of thinking posits what is potentially God, and being
unlimited, this idea is perfectly conceived. The activity of
willing perfectly actualises that idea of God. There is thus no
part of the thought that is not realised in the volition. Formal
potentiality collapses into real actuality, and this movement
is the suppositive activity of being.
However, the internal structure of each supposit is still to
be distinguished. Unlike esse, nosse gives rise to a procession
in God named the Word (or the Son). Aquinas defines pro-
cession as ‘intelligible emanation’ which is not the object of
what is thought but the ‘intelligible word that proceeds from
the speaker but remains in him’.30 While Aquinas is keen to
deny that this emanation is anything like Aristotelean motion
or Neoplatonic irradiation, the negative reference to these
notions is still instructive. In my view Aquinas regards the
Word as a structured, organising activity according to what
is intended by the ‘speaker’.31 Like heat or motion, but at the
level of mind, the Word sets ideational entities in motion
in a determinate fashion. Aquinas speaks of a substance as
both a ‘subject’ and as ‘expressive of an intention’ that pro-
ceeds from the activity of God.32 By ‘expressive of intention’,
Aquinas means: ‘. . . by way of an intelligible emanation, for
example, of the intelligible word which proceeds from the
speaker, yet remains in him. In that sense the Catholic Faith
30
From Trinity to Mind
understands procession as existing in God’ (ST I, q.27, a.1).
Aquinas clarifies his conception of procession according to a
doctrine of similarity:
The difference from esse is that esse’s own activity is what is set
in motion once more (if we can speak of cycles of self-action),
whereas with procession the divine mind emanates an infi-
nite number of likenesses (unities) of its activity by means of
determinations of the first Idea Dei (the eternal ideas).33
Likewise, velle is structurally distinguished from esse and
nosse. Unlike esse and like nosse it is a procession, but unlike
nosse, velle is not generative.34 This latter distinction com-
prises a number of factors:35 First, to think is necessarily to
think being, and so the divine intellect has perfect knowledge
of God whose essence is being. Likewise, all things that think,
think being and so at least have a perfected knowledge of
being.
Volition is a different matter. One may posit a distinct
moment in which God’s action to actualise himself has not
yet terminated, and then argue that in its potentiality this
action wills perfection by achieving God, but such a hypothe-
sis Aquinas deems false.36 God perfects himself immediately,
and it is precisely in this virtus essendi that his perfection and
Goodness consists. Furthermore, we have seen that the power
of this perfection is not a power of the perfect to do something
it has not done, for then it would be imperfect; rather it is a
power which procures a different entity to act and so move
towards it. God’s will, as it were, is this perfected action
which draws others towards itself. Hence Aquinas says:
31
Leibniz: A Contribution to the Archaeology of Power
His goodness. So, as He understands things apart from
Himself by understanding His own essence, so He wills
things apart from Himself by willing His own goodness.37
32
From Trinity to Mind
Aquinas argues that the ‘What?’ question confuses two pos-
sible responses corresponding to the meanings of substance.
‘What?’ could mean ‘What is in God that defines God?’ to
which the answer is ‘the divine essence’. But ‘What?’ could
also mean ‘What acts or occurs in God?’, and the response
to this is ‘three persons’. Aquinas actually phrases this latter
point as ‘What swims in the sea? A fish’ but this is expressly
used to exemplify a suppositum and thus an intentional act.41
The sense of the example seems to be that we are not signify-
ing any particular fish, or even genus of fish, but indicating
the act of swimming in the sea and asking ‘What is it that
would act in the sea in this way, if not the sea-substance?’
It follows that when we speak of the divine persons, we are
asking ‘What acts in God?’ and not ‘What defines God?’ In
the latter case the unity of essential definition is assured, in
the former we can appreciate that there are three different
intensions or activities at work in God.
33
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one of the ornaments of despotism. He wrote of it, “The time seems
to be near, and, perhaps, is already arrived, when poetry, at least
poetry of transcendent merit, will be considered among the lost arts.
It is a long time since England has produced a first-rate poet. If
America had not to boast at all what our parent country boasts no
longer, it will not be thought a proof of the deficiency of our genius.”
Believing as he did, that human freedom could never last long in a
democracy, Ames thought that perhaps, when liberty had given
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and sciences. At any rate, he maintained, “After some ages we shall
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be admired and imitated.” The first part of this prophecy failed, but
the latter part fulfilled itself in a manner quite unexpected.
II
III
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