Power and Its Shadow

Omnipotence has been a problematic concept introduced by theologians in the monotheistic traditions. It has affected traditional metaphysics, the theory of knowledge, and politics. It has deep historical connections with political absolutism.

Ethics in the Socratic tradition take as a starting point something like the Kantian autonomy of reason, coupled with an agnostic but sympathetic view of religion.

For the Latin scholastic theologians, the autonomy of philosophical inquiry is only relative. But most stop short of a completely unqualified omnipotence, and do endorse a relative autonomy of philosophy. There is a long tradition of “faith seeking understanding”. This allows for a socially beneficial relation of benevolent mutual respect between theological and philosophical discourse.

For several centuries in the later middle ages, the main vehicle for expression of Christian theology consisted of meta-commentaries on the 12th-century theologian Peter Lombard’s commentary on the Bible, known as the Sentences. Lombard’s work was one of the foundations of Latin scholasticism. Over 1400 commentaries on it are known. Lombard was a student of the great Peter Abelard, but backed off from Abelard’s more controversial views.

Here I will largely translate and comment upon a brief survey of omnipotence in the Sentences commentary tradition by Olivier Boulnois. This introduction to his edited volume La puissance et son ombre: de Pierre Lombard à Luther (1994) touches upon many points of “historiographical” interest. The French volume focuses on Lombard’s distinctions 42-44, which are the parts dealing with omnipotence. It includes translations from Lombard himself, William of Auxerre, Hugh of Saint-Cher, Albert the Great, Bonaventure, Aquinas, Augustinus Triumphus, Duns Scotus, Durand of Saint-Pourcain, William of Ockham, Gregory of Rimini, and Martin Luther. My aim here is only to partially translate and comment upon the introduction by Boulnois, which is entitled “What God Cannot Do”.

“Can God walk, speak, lie, sin, die, make a mistake? Can he restore virginity? Do other than what he does? Create other worlds?…. Can God annul the most fundamental eternal truths or change them?” (p. 11, my translation throughout).

First, it should be noted that there is not just one concept of omnipotence. Its meaning has been the subject of great controversy in the past. We will see several competing versions in what follows.

Second, the medieval theological mainstream in fact recognized that there are some things God cannot do, or at least will never do. The great scholastics recognized that omnipotence has be qualified in some way in order to be at all defensible, even if they would not themselves phrase it that way. Their arguments are about where and how to draw the line.

“[T]o ask what God cannot do is to research the limits of the possible, and to pose a question that bears on one of the principal senses of being in Aristotle” (pp. 11-12).

The last is a reference to potentiality (dynamis in Aristotle’s Greek), which in the Latin tradition is mainly understood as a kind of power.

“The fundamental question becomes: what does the proposition ‘he can’ signify? To respond, it is necessary to articulate three concepts: power [puissance], ability [pouvoir], possibility” (p. 12).

Puissance and pouvoir can both mean power, but with different nuances. Puissance is standardly used to translate the potentia of the Latin tradition. Pouvoir is used to express ability, and also political power.

Boulnois asks, “With what power [pouissance] are we concerned here? With Aristotle’s being in potentiality (intermediate between being and non-being)? Or with the effective power [pouissance] to make be what is not? But doesn’t that presuppose power [pouissance] in the first sense?” (ibid).”

“Effective power to make be what is not” recalls the theory of creation in Aquinas.

Boulnois continues, switching to the other French term for power, “With what model of power [pouvoir] are we confronted? With the generosity of an overcapacity that dispenses in accord with its own goodness? With the arbitrariness of always-revocable decrees? With the fixation of laws in conformity with which power [pouvoir] must itself act to act legitimately?” (ibid).

Here we begin to see the connection with political power.

“What form of the possible do we encounter? This is the whole problem of modality: in the logical sense, everything noncontradictory is possible; but isn’t it necessary to add a second form of possibility, real possibility, that which can be effectively realized by causes?” (ibid).

Possibility and necessity are both modal concepts. I still need to write more about the ethical significance of modality. While preparing this post I dashed off another quick note.

“For the problem of omnipotence bears on the limit conditions of an order of the world and an order of discourse” (ibid).

Claims of omnipotence have a global impact on how we understand everything else, which is literally explicit in the very term. (“Omni” is Latin for “all”).

“The situation of the question of omnipotence in the organic unity of the Sentences leads to thinking the possible in terms of divine omnipotence, and not the inverse” (p. 15).

When two terms are identified or linked, questions of the order of explanation can acquire a large importance. Here this involves the relation between philosophy and theology.

“Peter Lombard analyzes divine power in a double way” (p. 16). “From then on, the question turns on the status of the possible in the divine understanding: does what is impossible for God come from God (as Henry of Ghent believed at one time) or rather from the inconsistency of the thing itself (Duns Scotus)? Or again, is it necessary to say that the question has no sense, it being given that there is a strict reciprocity between the reality of the possible and divine thought (Ockham, reprised by Luther)?” (p. 17).

“But the evolution of the interpretation explains the modern contradiction between divergent points of view: a God who is the cause of the possibility of eternal truths (Descartes), or is submitted to the necessity of the best of [all] worlds (Leibniz), or again is identical with the necessity of all his attributes (Spinoza)” (p. 18).

Omnipotence in Descartes underwrites a theological voluntarism. Infinity and a very different kind of omnipotence are the most important properties of Spinoza’s God, who is also equated with Nature. Leibniz uses another nonstandard kind of omnipotence, explicitly developing his metaphysical views in terms of a highly rationalized form of creationism.

“For the problem of omnipotence is first of all a problem of exegesis” (p. 19). “If God can do anything, isn’t it necessary to say that he can lie, be mistaken, be put to death? Doesn’t one go to the point of making God a bad power? Augustine strives to resolve the difficulty: ‘And its inability to lie is a great power of the Word’. As a consequence, divine omnipotence does not consist in being able to do all, except in an inadequate sense…. Thus omnipotence is defined simply as God’s power to not be prevented from doing all the good that he wills. Augustine carefully avoids defining omni-potence as a power to do all” (p. 20).

We are teetering on the edge of paradox here. It is precisely the qualifications of what initially seems like the unqualified par excellence that allow an ethical perspective to be recovered. At the very least, this is in great tension with the motif of unqualified power.

“If God cannot do something, that is because it is not a true power (walking, sinning, being mistaken are marks of imperfection)…. If all that God cannot do is only weakness and negativity, God will be in himself every positive power. ‘He can do all that power can do’. Divine omnipotence has become the infinite affirmation of power” (p. 21).

For the 11th-century monastic reformer Peter Damian, according to Boulnois, “The origin of nature is not subject to the same laws as nature. Creation ex nihilo affords a striking illustration of this: ‘Nature itself is made against nature’. Nature thus becomes identical to the will of God: ‘Nature itself has its proper nature, which is to say the will of God” (pp. 24-25).

“The whole question of modality is raised here…. For Aristotle, only the future is contingent…. But for the theologian, who speaks of the possible insofar as it is the object of divine power, even if a thing is, insofar as it is, it can not be…. Even if an event is realized, at the very moment when it is real, it is not necessary. For it could not be if it were not willed by God” (p. 25). “The restoration of [virginity, according to Damian] resembles a new creation, and it is not subject to any mundane law, even that of contradiction…. All power and all knowing are coeternal with God, sovereign creator of the world” (pp. 26-27).

Again modality comes up. The idea that the present state of the world is contingent is reasonable in itself.

Among the most radical claims associated with omnipotence is that God can change the past. Up to a point, it seems to me that we should affirm the contingency of the present as well as the future, but it is also very possible to go too far in this. What is challenging to specify is how to draw the line between good flexibility and bad arbitrariness.

For Aristotle, Boulnois says ” ‘That which is, when it is, and that which is not, when it is not, is necessary’. This principle does not bear only on a necessity of discourse. It also implies a real necessity. For Aristotle, the possible is nothing but being in potentiality, that is to say being which tends toward existence, and which at the end of an infinite time, will end by coming to be. There is what could be called a statistical interpretation of modality, according to which that is possible which was, is, or will be in an infinite time. Indeed it is a temporal interpretation, according to which there always will be a state of affairs in which the contingent is realized. Relayed by Maimonides, this principle is the basis of the celebrated ‘third way’ of showing the existence of God in Thomas Aquinas” (p. 32).

Aristotle’s “statistical” modality is not statistical in the numerical sense. He defines the necessary as that which is always true. “Always” may not be entirely air-tight. He also explicitly speaks of things that are true “for the most part”, and sometimes of things that are always true or true for the most part.

Boulnois continues, “The motif of this disequilibrium can be easily designated: it is the primacy of presence in all metaphysical analysis of manifestation. While the [more traditional] theologians, following Augustine, envisage temporality as a triple manifestation of the divine power in the past, present, and future, Bonaventure, in the manner of the Aristotelian metaphysics, places himself in the perspective of the thing in its evidence enunciable by the finite subject. He goes on to invoke an important argument: between the thing and its form of presence (be it a presence of the past or an existence in the present instant), there exists an analytic relation…. The presence of the thing is included in all manifestation. On the other hand the future, which is not yet, is not analytically included in the content of the thing that comes to be” (pp. 32-33).

There really was a “metaphysics of presence” in Latin scholasticism. The error is to attribute it to directly to Aristotle.

“From this point on, Thomas Aquinas, Giles of Rome, and Ockham pose only the question of the necessity of the past…. They no longer ask if the same question can be extended to the future. The reference to Peter Damian conceals a mutation of the problematic: instead of being posed from the transcendent freedom of God, the possibility of the contingent will only be envisaged starting from the human experience of the present. The ontology of the contingent becomes the possibility of finite freedom” (p. 33).

“All the commentaries on the Sentences, following the line of Peter Lombard, preserve the memory of the condemnation of Abelard by the council of Sens. In the spirit of this council, it is not permitted to think that God is necessarily determined to act and can only do what he does. The council Fathers, led by Bernard of Clairvaux, see in this prohibition a line that is not to be crossed. The omnipotence of God requires us to think that he can do what he does not do, omit what he does not omit, do what he does in another manner or at another moment, or similarly omit it. The divine omnipotence thus appears as sovereignly free, indifferent between acting and not acting” (pp. 33-34).

This is the point at which the thesis of omnipotence becomes dangerous.

“Peter Abelard himself was moved by a metaphysical principle, the principle of reason. God can only do what he does, because ‘God does nothing without a reason’…. Abelard does not admit that God can act against the order he has decided to follow…. God cannot go against his proper wisdom and his proper rationality. Reason imposes itself on him in being the form of his freedom. In a sense, Abelard is quite simply faithful to the patristic tradition that orients divine action toward the good. But he systematizes to the point of paradox, in limiting divine freedom by his wisdom” (p. 34).

The whole question about whether or not God can act “against” what he has “decided” is artificial, because it assumes an anthropomorphic and temporal notion of “decision”. If God is pre-eminently the Eternal as Augustine says, the temporal metaphor of decision is inappropriate.

“Peter Damian makes an equation between divine omnipotence and human freedom: what is possible for the human must at least be possible for God” (ibid).

This argument clearly depends on an anthropomorphic analogy. What is called “possible” for the human depends in part on the particular character of human finitude. It is not at all the same as what would be called “possible” for an eternal neoplatonic God exempt from all finitude. Frankly, it is not even clear that it is appropriate to speak of possibility in relation to God at all. Aristotle says that the first cause is pure act and entelechy. Augustine very strongly associates God with the eternal.

“As Peter Lombard well saw, contrary to the censors of Abelard who ignore the point, the position of Abelard is equally motivated by the principle of the best. As with Leibniz later on, the principle of the best follows from an interpretation of the principle of causality…. Abelard in turn follows the principle of causality, attested by Plato: ‘Nothing comes to be without a cause’. But he reinterprets it in the light of Christian theology, for which the cause of the created resides in the exemplary reason, the divine idea, model, or archetype by which God thinks the creatable before instituting it. It is in this sense that Augustine writes: ‘Who would dare say that God created things without reason?’ For Abelard, as a consequence, the world is created in a universal order, and in it no event escapes divine providence: nothing that appears contingent or due to chance comes to be outside of his prescience or his wisdom. Reason itself is a means of revelation. Despite the apparent disagreements between the Bible and Plato, a more profound reading of these two texts allows us to reconcile them, and to underline the identity between the rationality of God and his freedom” (p. 36).

“For in this problematic cause and reason are synonyms: ‘ratio vel causa‘, writes Peter Lombard…. The position of Abelard is indeed an important stage in the constitution of the principle of reason, between Plato and Leibniz. In Plato, the principle of causality, exterior to the demiurge, and the principle of the goodness of the cosmos are enunciated separately. For Abelard, the principle of reason has become interior to the divine wisdom, and conforms to the primacy of goodness. For Leibniz, finally, the principle of reason is no longer divine, but is identified with essence in general: every substance is the sufficient reason of its accidents” (p. 37).

“Without a doubt, the condemnation of Abelard played a decisive role here. We recall that Heidegger speaks of a ‘time of incubation’ of the principle of reason, already formulated since the birth of philosophy. But he does not respond to the question he himself raises” (p. 37). “In all the rigor of their terms, the condemnations of the council of Sens, in rejecting the application of the principle of reason to God, preserved the principle of reason in an incubator” (p. 38).

“If God creates a world, he cannot create it without what makes it a world: its order, the harmony of its parts…. God cannot create without: 1) what makes it a totality: that which is required for the achievement of a universe; 2) what makes its parts compatible with one another: the conditions of existence of creatures, one in relation to another; 3) what permits each of its parts to have sufficient consistency to possess the perfection of an essence and that of existing. The creation of a world results in the positing of a finite order, governed by the mathematical or musical principle of the harmony of the all, that is to say a certain proportion between the parts” (p. 39).

The strong notion of the coherence requirements of a world in Leibniz removes the usual arbitrariness from the notion of creation.

“This common problematic leaves room for a whole gamut of individual positions, from Albert the Great to Ockham. For Albert the Great, ‘if one places oneself in the point of view of being’, starting from the things that really exist, no better order is conceivable…. For Bonaventure, … God can make either a world different by its substances (but which is not really better, because it is incomparable), or a world different by its accidents (but that is really the same as this one)…. For Ockham, on the contrary the most probable position is ‘that which admits that God can make another world better than this one and specifically distinct from it’ ” (pp. 39-40).

Can God change eternal truths?…. Descartes raises this question” (p. 40). “God does not know truths as true unless he wills that they be so” (p. 41). “This debate has a long medieval history” (ibid).

Hugh of Saint-Cher is credited with originating the distinction between absolute and ordained power.

“Hugh of Saint-Cher [distinguishes] two aspects of divine power. As conditioned, it cannot be contradictory…. In the measure that the order of the finite is subject to the principle of contradiction, God cannot make two opposed propositions [both] true. But in itself, the same power as absolute is not subject to the principle of contradiction: nothing can limit its power” (ibid). “In this he anticipates in an unheard-of way the motifs and the difficulties of the Cartesian position, even if he does not like [Descartes] speak of creation or of eternal truths” (p. 42).

“Thomas Aquinas poses the same question, but he responds in a completely different way…. The divine power can only make what is possible, that is to say what is in the nature of things. The nature of simple essences and the principle of non-contradiction are the source of all their proprieties, and the divine power is in a way limited to these possibilities” (pp. 42-43).

Here Aquinas comes across as much more sensible than some of the others. In significant measure at least, he upholds the reality of secondary causes. A concept of God construed in a way that would invalidate all other concepts and reason itself seems fit only for sectarians.

“Subsequently, the debate develops in another form: is the impossible impossible because God so decided, or is it impossible by nature…? Henry of Ghent at one time held the first thesis, but ended up retracting it. Duns Scotus maintains an order that supposes the distinction of diverse moments…. It is only logical contradiction between the parts that grounds the formal impossibility of the thing, and indeed the divine intellection of that impossibility. There is an irrevocable anteriority of the possible and indeed of the impossible to the divine intellect. Possibility is imposed on God in the same way it is imposed on the human (that is to say in a univocal way)” (p. 43).

This is an important qualification about Scotus. Although he was regarded as a realist in the controversies about nominalism and realism, he generally comes across as an extreme voluntarist. But Boulnois is a leading Scotus scholar who has translated 2000 pages of Scotus and written a large book about him, so I assume he knows what he is talking about.

“For Ockham, on the contrary, power and the possible are correlatives. There is in the first instance an absolute real identity between divine intellect and will. And in addition, there is no anteriority of the possible to the intellect. The possible not being other than the non-contradictory, all the possibles are independent. No limit of the ontological consistency of the possible restrains the divine power…. Ockham accepts all the consequences of the identification of the absolute possible with the divine power…. There is neither an anteriority of the impossible to the divine omnipotence (Scotus), nor an anteriority of omnipotence to the impossible (Henry of Ghent), but a strict correlation” (pp. 43-44).

Once again, when two things are assimilated together, it may mean that one is being reduced to the other. For instance, I hold that there is no separately existing thing called will — that Aristotelian intellect, practical judgment, and wisdom better explain the freedom that some want to supernaturally explain by will. Ockham on the other hand is a voluntarist who sees will everywhere, and seems to deny that modality is anything real.

“An other is not always a world. It is only after Bonaventure that the theologians come to speak of a possible other world” (p. 46).

This is fascinating. I never would have guessed that Bonaventure would partially anticipate Leibniz on the subject of worlds.

“For Scotus, the order fixed by God appears to be necessary from the point of view of every inferior agent, when it acts according to that order…. In the order instituted by God (nature), starting from contingent hypotheses, the laws of nature are necessary for the finite. They draw their necessity from the fact that it is God who invests them with their legality” (p. 47).

From this point of view, necessity only comes about from divine will. Sheer will conceived as a brute fact is thus said to come before justice or wisdom. This undermines all criteria.

“For Aristotle, the concept of world is that of a totality: there is only one possible world, and it is a fortiori the best” (p. 48).

But the argument that this is the best world because there is no other is a very weak one that Aristotle does not himself make, because he does not consider alternate worlds, and also does not consider the world to be created.

“For [Peter Damian], even a good that is never produced is in the power of God, the reason for its retention residing in the secret of his good will. His analysis results in distinguishing two poles in the divine power: on the one hand, the omni-potence taken in itself, which no im-potence can encumber, and on the other hand the order in which it is exercised, and which can explain that omnipotence is not manifested…. Thus, Peter Damian constructs the conceptual armature between two poles, which later took the name of absolute power and ordained power” (p. 53).

Peter Damian was an 11th-century monastic reformer who campaigned vigorously against corruption in the Church. He advocated solitude and ascetism, and reportedly introduced practices of flagellation that were regarded as too extreme by some. In the early 20th century, it was argued that Damian exempted God from the principle of non-contradiction, but this has been rejected by later scholars. He wrote a treatise on omnipotence arguing that God can restore virginity, but according to the Stanford Encyclopedia of Philosophy, he neither claimed that God can change a past event, nor that God can contradict himself.

What will become the distinction between absolute and ordained power allows appearances to be (mostly) saved while the claim of absolute power is maintained. I would note that this is an elaboration of Augustine’s reconciliation of miracles with natural causes, which treats natural causes as God’s established habits that are not invalidated by miracles. It will often be expressed using Aristotle’s notion of things that happen in a certain way “for the most part”, but there is no indication that Aristotle intended this as a way of leaving room for miracles. What happens for the most part in Aristotle involves variation in the way that the order of nature works out in particular cases, not suspension of it or exceptions to it.

“The ordained power has for object that which has been preordained, or disposed by God. It is a preordination of the possible in the divine understanding, and not the order of the real outside of God. Indeed it coincides with his prescience…. The ordained power does not presuppose order and is not determined by it; on the contrary, it is it that determines it in determining itself: it prefigures it, it is the pre-supposition of order. It is the pre-order” (p. 55).

According to this view, the order of the world corresponds to the “habitual” operation of creation. The habitual order is subordinate to the power of creation that produces it. The habituality of the created order is real, but it also has real exceptions in the form of miracles.

According to Boulnois, “Absolute power and ordained power form a couple of concepts, a dialectic, such that we never find one without the other. There is no theology of absolute power without the theology of ordained power. What we find instead are different ways of thinking this dialectic” (ibid).

“The object of absolute power is identical to the object of divine wisdom, to the totality of what is possible for God. The object of ordained power is identical to the object of the principled will of God” (pp. 55-56).

“For God does nothing without prescience. His action is subordinated to the order predetermined by him, and can never depart from that order. As a consequence, operative power is subordinated to ordained power; and reciprocally, God never operates directly by his absolute power. Absolute power taken in itself, naked, is not operative” (p. 56).

It was I and not Boulnois who earlier brought Augustine’s justification of miracles into the discussion. I much prefer Aristotelian natural variability to the Augustinian theory of miracles. But on the older view Boulnois is characterizing here — that God never acts directly by his absolute power — it would seem that there could be no exceptions to the ordained order. This seems consistent with Augustine’s rigorous view of eternity, but it is in tension with Augustine’s justification of miracles.

It appears that Duns Scotus (1266-1308) was instrumental in changing the traditional Augustinian pattern in these matters. Boulnois is a world-class expert on Scotus, so he is well qualified to point this out.

“While reprising these classical elements, the interpretation of Scotus breaks with his predecessors, for three reasons: 1) The theory of absolute power and ordained power is extended to every free being. 2) In reprising the distinction between fact and principle, Scotus conceives the two members of the distinction as two ways of acting and not simply as two powers. God intervenes in fact by his absolute power to modify what is in principle the course of things. 3) Even when he has chosen an order, at the same time and from the same point of view, God can do that which he did not decide upon. The divine power is open to an array of synchronic possibilities, and the state chosen in fact does not exclude other possibilities” (p. 56).

Each of these three points is significant: 1) Beliefs about human free will come to be patterned on a pronouncedly voluntaristic interpretation of divine omnipotence. 2) Fact is for possibly the first time asserted to be more decisive and more inclusive than principle or essence. Reason must accommodate presumed facts, rather than governing their interpretation. 3) Far from being stably grounded in eternity and essence, order of all kinds is now treated as fundamentally contingent and revocable.

In 20th-century scholarship, the emergence of such “modernist” views was most often associated with William of Ockham, who as the arch “nominalist” in accounts of the 14th-century debate about universals has been treated as diametrically opposed to the more traditional “realism” attributed to Scotus. But according to Boulnois, Scotus was the decisive innovator with respect to these views about will, fact, and order.

“It is this interpretation that seems to have had the most influence on subsequent medieval thought.”

“There are two models, fundamentally distinct: 1) A logical model, for which absolute power is the power capable of the totality of possibilities (of all that is non-contradictory), and the ordained power corresponds to the choice of a particular order. 2) An operative model, for which divine intervention de potentia absoluta is a possibility of modifying in fact that which is in principle the course of things. What is outside of order is not disorder but fact.” (ibid). “For Scotus, the model is no longer a logical model, but an operative model. He no longer distinguishes two forms of power but two forms of action (according to the law and outside the law)” (p. 57).

What is described as the traditional view here tends to make order overly strong, presuming it to be capable of explaining all facts, while the “modernist” view makes fact overly strong, tending toward a proto-fundamentalist denial of the need for interpretation, and at the same time shrinking the scope of order so that fact always exceeds it.

As Boulnois argues more generally in his big book on Scotus, L’Être et représentation (“Being and Representation”, 1999), this historic transformation is too large to be attributed to a single figure, but Scotus is nonetheless at its center. Modern large-scale interpretation of the history of Latin philosophy has generally centered on Aquinas, who was canonized as a saint in 1323, and specially declared by the Pope to be central to Catholic philosophy in 1879 after the rise of neo-Thomism.

(From a broad point of view, the “moderate realism” of Aquinas has much to recommend it, but one-sided emphasis on Aquinas has obscured the real diversity and complexity of Latin philosophical views and the important role of numerous others, including Scotus. The pragmatist Charles Pierce rather casually called himself a Scotist realist. Heidegger wrote his dissertation on Scotus, but in later work tended to reject Latin philosophy with a very broad brush, without addressing important historical detail.)

“No more than his predecessors does Scotus say that God acts by an absolute power, but only that he can act otherwise than he does (and it is in this that his power is absolute). This has no immediate operative content…. Duns Scotus does not say that God acts by his naked absolute power, but precisely always, according to a beautiful oxymoron, ‘in the manner ordained by his absolute power’. What characterizes the position of Scotus, more than the operative model of absolute power alone, is at the same time the extreme opposition of this dialectic between the two concepts and the possibility at every instant of one toggling to the other. To safeguard divine freedom, Scotus creates an infinite oscillation between an instituted juridical order and a de facto power that is nonetheless not disordered and immoral” (ibid).

What Boulnois calls a beautiful oxymoron in Scotus, the de facto claim of an infinite oscillation between order and fact — evinced by the phrase “ordained by his absolute power” — seems to collapse the evolved distinction between ordained and absolute power. Perhaps this is why Scotus was called the “subtle doctor”. But the implications of this position are not at all subtle. They are quite dramatic.

“What characterizes the end of the Middle Age is at once the inflation of arguments resorting to absolute power and a fragmentation of models allowing it to be thought” (p. 58).

Boulnois cites Avignon Pope John XXII’s blunt declaration that the absolute and ordained power of God are the same thing. John apparently used this to justify a politicized claim that salvation can only be achieved through the institutionalized sacraments of the Church. “All that which is ordained by God is irrevocable” (p. 59). This was a time of bitter conflict between the Avignon Pope and the Holy Roman Emperor Louis IV. It was under John that Aquinas was canonized as a saint. John was also the one who formally declared witchcraft to be a heresy.

We saw above that William of Ockham also emphasized the inseparability of absolute and ordained power. But he apparently used it to argue for the opposite practical conclusion, that law and ordained power can always be surpassed by fact and absolute power, and that salvation can be achieved through faith alone. Under the protection of Louis IV, Ockham accused the Pope of heresy.

(From the point of view of the logical pragmatics I have discussed in reading Brandom, the formal identification of two things with different connotations can be interpreted as a reduction of one to the other, or of the other to the one, or as a nonreductive combination of the two. Different connotations imply different pragmatics or conditions of use.)

Boulnois says that Ockham interprets the thesis of the nonseparability of the nominally distinct powers (absolute versus ordained) in terms of its consequences for the power’s object (the world), rather than in terms of its subject (God).

“John XXII insists on the fact that the identity of divine power entails the invariability of the order chosen by God…. For [Ockham], the theory of John XXII comes back to saying that the order of the world cannot be other than it is. From this it follows evidently that no creature can do what it does not do…. He sees in this a resurgence of Greco-Arabic necessitarianism, an error condemned in 1277. And to say that humans can only be saved by the institution is not only an error, but a heresy: in fact, many humans are saved by their faith without being baptized” (p. 60).

“Greco-Arabic necessitarianism” is another exaggeration. Among the Greeks, the only real necessitarians are the Stoics. Alfarabi, Avicenna, and Averroes do all seem to slant things in the direction of objective order and necessity, but the radical voluntarism of Ghazali seems to have been more historically influential in the Arabic tradition.

“For Ockham, order is always a de facto order, a complex of contingent and revocable singularities. It is thus the object of ordained power; but what God can do (in principle), even if he never does it, is the object of absolute power. There is here an extraordinary cross-chase in relation to Duns Scotus. What the one calls the object of ordained power, the other calls the object of absolute power, and vice versa. The fact and the principle exchange their role” (ibid).

On Boulnois’s account, Ockham is a less radical voluntarist than Scotus.

“For Ockham, it is necessary to thus understand the distinction ‘power to do something’: the expression is sometimes taken according the laws ordained and instituted by God, and of these things one says that God can do them by his ordained power. In another way, ‘power’ is taken in the sense of power to do anything that is not self-contradictory, that God has ordained that he will do or not do, and of these things, one says that God can do by his absolute power. The ‘ordained power’ indeed does designate the order established by God, as in Duns Scotus. But the ‘absolute power’ designates not his de facto power, but only everything that is not contradictory: it has a logical sense and not an operative one (since it designates what God does not do); he returns quite simply to the traditional sense admitted before Scotus” (pp. 60-61).

“[Ockham’s influential student] Adam Wodeham explicitly cites two interpretations of absolute power…. Adam Wodeham clearly thinks ordained power as an order instituted regularly and capable of dispensation, like Scotus and Ockham. But he is also aware of the existence of two models for thinking absolute power: that of Duns Scotus, for whom the power to do the contrary of the established order is absolute, that is to say autonomous and absolutely capable of acting; and that of Ockham, for whom the absolute power of God is subject to the logical principle of contradiction. For Scotus, even when God has ordained the contrary, he can do something by his absolute power. For Ockham, God can only act by his absolute power if there is no contradiction with what he has ordained” (p. 61).

“As a consequence — and contrary to received ideas — the great epistemological rupture of the 14th century was effectuated by Scotus more than by Ockham…. [Scotus] is infinitely more revolutionary, in admitting that God has a de facto power that is other than the power in principle without being immoral. Nonetheless, the position of Ockham and that of Scotus converge on one point, essential for theological ethics: even if, by the ordained power of God, the human can only be saved by baptism and entry into the institution, by the absolute power of God, the human can be saved without Church or charity…. One of the distant consequences of this hypertrophy of absolute power will be the possibility, vigorously enunciated by Luther, that there is a predetermination indifferent to good and evil” (p. 62).

Luther argued for justification by faith alone, traced all authority solely to the Bible, and tended to emphasize its literal word.

“It would be exaggerated to make the new theory of divine power bear all of the motif of the metamorphosis of theology after Scotus. It would also be exaggerated to try to reduce everything to the new theories of intuition or of the primacy of will. First of all, Scotus is only the spokesman for a whole generation of thinkers who each contributed to the restructuring of theology” (p. 63).

But these caveats address only certain over-simplifications of the historical interpretation Boulnois develops.

“It is the triangle of power, knowledge, and will that is modified in its entirety. In the human as in God, power [pouvoir] becomes a power [puissance] to act in principle or in fact. Power remains a capacity to act according to an order (interpreted juridically as a law), but it also becomes the capacity to act outside the law or against it. Furthermore, for thinking of the problems of beatitude from the side of common abstractive knowledge, there developed a theory of intuitive knowledge of the singular contingent. Finally, for the Franciscan theologians above all, freedom of the will is an innate quality” (p. 63).

On the threshold of modernity, new voluntaristic super-powers are attributed both to God and to the human. The alleged fact of voluntaristic will is no longer constrained by an orientation toward the good.

“As a consequence, willing is no longer tautologically willing the good. But reciprocally, what God wills is ipso facto the good. On the edge of the new theology of omnipotence, the theories of intuition and of will will be adjoined, to construct a new model of practice and of epistemology. With this new device, it is the whole harmony between the transcendentals, being, truth, and the good, that is disrupted. The objects of power, of will, and of knowledge are no longer necessarily aligned” (pp. 63-64).

“Conceiving divine intervention de potentia absoluta as a real possibility led to an undermining of the intelligibility and predictability of natural phenomena. The order of the real no longer appears except as a descent into particularity in the ocean of possibles. This disjunction has a paradoxical consequence: philosophy is all the more free to expound the necessity of the order of the present world, while the theologian makes contingency surge into this world here, when he does not invoke an infinity of other possible worlds. The present order can become an absolute, and the absolute can contain an infinity of other orders. The order and the absolute are disseminated in an indefinite variation of hypothetical orders. The order and the absolute are no longer articulated; they pass one into the other” (p. 64).

As Boulnois says, treating divine intervention in the world by absolute power as a real possibility tends to undermine intelligibility. I would add that this undermining of intelligibility undermines ethics as well.

“This renewal of the problematic figures an evolution of theology. It makes God less and less human, less and less reached by knowledge of the order of the universe, less and less oriented toward the norm of the good. Divine omnipotence thus founds a ‘skeptical’ movement, which has consequences for the theology of justification (from Scotus to Luther). The order of salvation appears more and more contingent…. The equilibrium between the order of the world and the omnipotence of God attained in the Sentences of Peter Lombard ended up a victim of its own success. After being articulated with nature, the supernatural becomes omnipresent, and finally suspends all autonomy of the order of nature. There is no longer a consistent finite order. Omnipotence figures a more and more uncertain order of the world, and results in a complete concealment of God and his plans from the human. God is so unknowable that his attributes are founded in the brilliance of his omnipotence, reachable only by faith, and not allowing any certainty to exist. Following this metamorphosis, God, the object par excellence of theological intelligence, who was at first thought of as ineffable, will be finally named as incomprehensible. The world will appear as a labyrinth of axiomatics and exceptions, in which individuals are toys” (pp. 64-65).

This omnipresence of the possibility of supernatural intervention, outside the order of nature — and the correlated suspension of all autonomy of the order of nature — are what undermine intelligibility.

“It is now the model of political power [pouvoir] that serves to think the divine power in an identical, univocal sense, even in a particular case: all power can be exercised either juridically, or de facto” (p. 65).

“By a cross-chase of which history has the secret, these ‘absolutist’ arguments will serve later for the exaltation of monarchic power against pontifical pretensions. In Jean Bodin, they serve to describe the absolute power of the prince. This theory leads to a reinforcement of political absolutism — and simultaneously to an evanescence of the predictability of the law of nature” (p. 66).

“The theme of absolute power grounds the work of Duns Scotus in three dimensions: ontological (the action of every free agent), juridical (the king and his realm), theological (God and his decrees). This origin reveals a structural correspondence between the modern concepts of individual freedom, of divine power [puissance], and of political power [pouvoir]” (ibid).

“The black sun of omnipotence shines with a paradoxical light. When power wants to be without shadow and without limits, it accumulates within itself the night in which all evils are absolved; it endorses dark things and obscurity. On the contrary, the power that is incapable of evil and excludes it is a pure light without darkness. It does not suppress the shadow, or assume it, or absolve it, but dissociates it from itself and separates it from its sharp light. But for this it must be a power capable of lacking power” (p. 68).

Realism, Nominalism, Modality

There is an important intersection between the 14th century debate about realism and nominalism and contemporary questions about the status of modality in logic that ought to be of interest to non-specialists. Both of these topics probably sound obscure to most people. At sound-byte level, the first is about the status of universals, and modality is something we implicitly presuppose any time we try to reach for something “more” than allegedly pure phenomena or mere appearance.

Both sides of the medieval debate often wanted to enlist the support of Aristotle, who took a remarkably even-handed approach to these questions we have yet to clarify. The debate was often invested with a great moral significance, and provoked a number of intemperate claims. But at the same time, both sides were able to use the technical vocabulary of the theory of “supposition” — along with shared familiarity with Aristotle — to discuss semantic issues of concrete meaning and word use in detail, in terms both sides could in large measure agree upon. This led to a very high quality and sophistication in many contributions to the debate on both sides.

On some slight acquaintance, many modern readers can easily sympathize with nominalist critiques of the premature and illegitimate use of universals. We may think of vulgar platonism, excessive abstraction, reification, alienation, and so on. On the other side though, there are premature and illegitimate claims that universals can be explained away entirely. But Hegel’s Frau Bauer could not even recognize her individually named cows, if there were no such thing as legitimately reusable reference, naming, and vocabulary. I think most people should be able to see that there are two sides to the coin here.

If we ask how legitimate repeatabilities in ordinary language are constituted and used, something like modality inevitably comes into play. It now occurs to me that Brandom’s emphasis on the priority of hypotheticals over alleged categoricals in real-world material inference — a point to which I am deeply sympathetic — really calls for something like the notion of modality that he develops.

All the Way Down

Once of the things I’ve most appreciated about Brandom has been his unwillingness to reduce normativity and value judgments to non-normative factors. Repeatedly in Making It Explicit, he speaks of norms “all the way down”. There is even a subheading for “all the way down” in the index entry for “norms” (p. 732). But in conjunction with this, he repeatedly suggests that the relation between pragmatics and semantics, while symmetrical in many respects, also includes an asymmetry, according to which it is more appropriate to say that normative pragmatics grounds representational semantics than vice versa. This is in distinction both to common views that privilege representation over inference and semantics over pragmatics, and to the purely symmetrical view of semantics and pragmatics that he seems to propound in Reasons for Logic, Logic for Reasons.

The symmetrical view can be seen in the favorable light of other symmetries that Hegel argues for in his campaign against “one-sidedness”. But it also implies that there is no sense in which normative pragmatics ought to be seen as coming before representational semantics.

Brandom’s 1976 dissertation, which is partly framed as the elaboration of a new form of pragmatism, makes links between the pragmatism it advocates, and a priority of pragmatics over semantics in philosophy of language. But as mentioned above, this year’s Reasons for Logic, Logic for Reasons, while applying inferentialist explanation to semantics in new ways, and while remaining as much as ever committed to an inferentialist order of explanation in general, nonetheless seems to back off from claiming any priority for pragmatics over semantics.

My worry is that this new symmetry and parity between pragmatics and semantics could end up weakening the commitment to “normativity all the way down”. The new thesis of full symmetry builds on his previous analogy between normativity and modality or subjunctive robustness, which I take to be sound. It may be that normativity all the way down does not really require the relative priority of pragmatics over semantics that Brandom claims in the dissertation and Making It Explicit, but I think more on this needs to be said.

An Isomorphism

“The present point is that if the claim that it is possible to identify a rational structure common to what is expressed in pragmatic and semantic metavocabularies could be made out in detail, it would cast light on issues of much wider philosophical significance. For we can look at the relations between what is expressed in normative pragmatic and representational semantic metavocabularies in another way: as articulating the relations between the activities of talking and thinking, and what is being talked or thought about. This is the intentional nexus between subjects and objects, between mind and the world, knowers and the known.” (Brandom in Hlobil and Brandom, Reasons for Logic, p. 8).

Brandom uses the term intentionality in a non-psychological sense that he elsewhere attributes to Kant. We are implicitly in what I think of as Aristotelian-Hegelian territory, where a Cartesian-style division into Subject and Object is not assumed. Brandom’s low-key summary of what to me are the rather dramatic stakes in this issue focuses on the American pragmatists, whom he discussed in the recent Pragmatism and Idealism lectures.

“The American Pragmatists inherited from the German Idealists — who in turn inherited it from Romantic critics of the Enlightenment — the idea that the Cartesian tradition failed structurally, making itself a patsy for skepticism, by attempting to define subjects and objects independently of one another, and then later on facing the problem of how to bolt together things understood as having wholly disparate natures…. The better strategy, they thought, was to start with a conception of intentionality as successful cognition (and action)…. One way to work out such a strategy begins with the thought that there is a kind of structure common to what normative pragmatic metavocabularies make it possible to say about the practices of discursive subjects using declarative sentences to manifest practical attitudes and undertake commitments, on the one hand, and what representational semantic metavocabularies make it possible to say about the modal relations among matter-of-factual states of the world those sentences come to represent by being so used, on the other” (ibid).

Here he references the classic pragmatist emphasis on “successful” thought and action. But especially since he is about to explicitly invoke an Aristotelian (and Scholastic) connection on the next page, this suggests to me that even a very elementary mainstream notion of pragmatism could be recast as evincing a kind of Aristotelian teleological concern with ends and that-for-the-sake-of-which, but in language that hides this angle and is suited to survive in the climate of uncomprehending modern antipathy to Aristotle. The main difference is that Aristotle says much more clearly that the ends that matter are those that are sought for their own sake, and not as means to other ends.

I used to think that logical and linguistic pragmatics as a field of study had nothing in particular to do with pragmatism as a view of the world. Brandom’s recent writings provocatively suggest that there is indeed a connection.

The emphasis on structure is also significant. Although Brandom does not identify with it as I did especially in my youth, French so-called structuralism and poststructuralism represent another major strand of non-Cartesian, non-subject-centered thought in the 20th century. Brandom’s usage seems closer to mathematical structuralism, and perhaps to the structural functionalism of the sociologist Talcott Parsons and the cognitive psychologist Jean Piaget that attracted Jürgen Habermas, whom Brandom has called a personal hero.

“For the worldly version of the relations that articulate the structure we are calling ‘conceptual’ are relations of necessity and impossibility whose existence owes nothing to the activities of discursive practitioners. They are objective relations, specified in the alethic modal vocabulary used to state laws of nature, and more generally to specify subjunctively robust relations” (pp. 8-9).

Brandom has consistently highlighted the significance of modality and modal logic for formulating what he likes to call subjunctive robustness. Next he invokes non-Cartesian strands within analytic philosophy.

“We take the view we develop to be a way of understanding what Frege means when he says ‘A fact is a thought that is true’. It is also one way of understanding the Tractarian [early Wittgenstein] claim that the world is the totality of facts…. John McDowell (1996) explores the same sort of conceptual realist view in Mind and World under the slogan ‘The conceptual has no outer boundary’.”

While I am highly sympathetic to the non-Cartesian ambitions here, I think that facts alone are too shallow a basis to constitute a world. I am not a Wittgenstein scholar, but I think he later moved away from this attempt to ground everything on atomic facts. But what else is needed is something like the subjunctive robustness or modal aspect of things that Brandom dwells upon. This emerges naturally as we move from world-as-totality-of-fact to the idea of a world constituted from implications and distinctions (the latter being my preferred way of thinking about what Brandom calls incompatibilities).

“These are deep waters. These pronouncements by great philosophers are mentioned to indicate that the stakes are high for the enterprise of explicating any form of conceptual realism. Here is a sketch of how we go about it. One of the key arguments we appeal to in filling in this neo-Aristotelian metalinguistic bimodal conceptual realism is a technical result…. Greg Restall and David Ripley have worked out what they call a ‘bilateral’ normative pragmatic understanding of the turnstile that marks implication relations in multisuccedent sequent calculi [which looks approximately like |~ and means that if all formulae on the left (often represented as a context capital gamma Γ) are true, then at least one formula on the right is true.]…. The Restall-Ripley bilateral normative pragmatic metavocabulary turns out to be related in surprising ways to what we take to be the most sophisticated contemporary heir of Tarskian model theory and later intensional semantics in terms of possible worlds (Lewis, out of Kripke, out of Carnap), namely Kit Fine’s truth-maker semantic framework…. The representational content of declarative sentences is then understood in terms of assignments to them of sets of states as truth-makers and falsifiers. Global structural conditions on modally partitioned state spaces (for instance requiring that all the mereological parts of possible states be possible) interact with conditions on assignments of truth-makers and falsifiers (for instance forbidding the truth-makers and falsifiers of logically atomic sentences to be overlapping sets).”

Sequent calculi are proof-theoretic notations due to Gerhard Gentzen in the 1930s. They generalize Gentzen’s system of natural deduction. In sequent calculi, every line is a conditional or sequent, rather than an unconditional assertion. In effect, the primitive terms are implications. This is a formal analogue of Brandom’s idea that the common structure of the world and of thought is at root constituted out of implications (and distinctions) rather than simple facts. Hlobil and Brandom’s book shows that it is general enough to support radically nonmonotonic and nontransitive cases.

“We show below that if one defines semantic consequence in just the right way, a powerful, fruitful, and detailed isomorphism can be constructed relating truth-maker modal semantic metavocabularies and bilateral normative pragmatic vocabularies” (pp. 9-10).

Serious logicians mainly study the properties of different logical systems, or logics, and develop new ones. Alternate logics have hugely proliferated since the first half of the 20th century. He is alluding to the fact that many differently detailed notions of logical consequence have been proposed. What is the “right” one depends in part on its conditions of use.

An isomorphism is a structure-preserving mapping that works bidirectionally. The existence of an isomorphism — like the one mentioned further below between algebra and geometry, or the one Brandom is talking about immediately below, between semantics and pragmatics — is an extremely nonrandom, rare occurrence, and therefore is often taken to be deeply significant.

“Assertion and denial line up with truth and falsity, combinations of commitments (to accept and reject) in a position line up with fusion of truth-making and falsifying states, and normative out-of-boundness (preclusion of entitlement to the commitments incurred by those assertions and denials) of a compound practical position lines up with the modal impossibility of such a fusion state.”

“When Spinoza looked back on the relations between algebraic equations and geometric shapes on which Descartes modeled mind-world relations, he saw that the key feature distinguishing that new, more abstract notion of representation from earlier atomistic resemblance-based conceptions is the existence of a global isomorphism between the algebraic and geometrical vocabularies. Spinoza’s slogan for the holistic insight that animated the representational revolution was ‘The order and connection of ideas is the same as the order and connection of things’ (Spinoza, Ethics II, Prop. vii). The isomorphism between normative pragmatic and alethic representational metavocabularies turns out to make possible in our setting a precise, tractable, and productive specification of that shared rational ‘order and connection’. We think this is a good way to rationally reconstruct some central aspects of Aristotelian (and Scholastic) intelligible forms. This isomorphism is the core of our version of bimodal (deontic/alethic) metalinguistic conceptual realism” (p. 11).

Brandom has been a consistent critic of standard versions of representationalism, but he has always been careful not to reject too much. The more affirmative reference to representation and Tarskian model theory here specifically involves not just any representation but an inferentialist semantics that undoes many conventional assumptions. Apparently there is a formal result to the effect that inferentialist semantics can be expressed not only in terms derived from Gentzen’s proof theory, but also in terms of an evolved variant of Tarski’s model theory in which the things represented are implications.

Next in this series: Quick Note on Proof Theory

The Role of Reasons

In a brand-new book co-authored with logician Ulf Hlobil — Reasons for Logic, Logic for Reasons: Pragmatics, Semantics, and Conceptual Roles (2025) — Robert Brandom introduces results from the Research Group on Logical Expressivism, which is inspired by a major strand of his work. Logical expressivism is a highly innovative approach that takes the primary purpose of formal logic to be not the proving of truths, but a kind of making explicit of all kinds of real-world reasoning that are carried out in natural language.

The book introduces quite a number of big ideas — among them logical expressivism, reason relations, implication spaces, conceptual roles, and important new technical results that highlight the importance of nonmonotonic logic and substructural logic. Established Brandomian themes such as normativity and its relation to modality, inferentialism, material inference, and the close connection between semantics and pragmatics also show up here in new light. Brandom has written the more philosophical chapters, and Hlobil the more technical ones.

One interesting surprise is that Brandom explicitly calls the new approach “neo-Aristotelian”. This “neo-Aristotlian metalinguistic bimodal conceptual realism” will be “hylomorphic in a recognizably Aristotelian sense. For it identifies a kind of rational form that is understood as common to thoughts and things…. [T]he relations of consequence and incompatibility that show up in different guises in a whole constellation of intimately interrelated metavocabularies… are those that in the end underwrite practices of reasoning, by determining what is a reason for and against what” (p. 9, emphasis in original).

This is well short of the more full-blooded re-visioning of an open Aristotelianism that I have been suggesting here, but within its scope it does seem genuinely Aristotelian to me — particularly the idea that there are forms common to thought, things, language, and practices of reasoning. This is a nice vindication of the “Aristotle and Brandom” theme with which I began this blog almost six years ago.

“[T]he strategy of addressing philosophy’s perennial concern with the nature of understanding or reason in general by investigating language…. has been developed in two quite different directions…. The first, dominant, better worked out tradition focused on logic, and later, also formal semantics, as perspicuous mathematical metalanguages…. The other tradition focused rather on language as a kind of social practice” (p. 1, emphasis in original).

Brandom has always been interested in both of these. At the beginning of his career he worked on logic, but for most of his maturity he has tended to favor the pragmatic side. Here at one point he ends up suggesting that they may be equally important. The book presents new results in mathematical logic that help bridge the gap.

“Where the formalist tradition is oriented by a conception of understanding and reasons as codified in artificial logical calculi and semantic metalanguages, the pragmatist tradition looks instead directly to natural languages, thought of as social practices and forms of life. In place of the exclusively monological character of reasoning as deriving, modeled on proof, characteristic of the other tradition, understanding shows up in this tradition as a social achievement, and reasoning as essentially dialogical: a matter of discursive practices of giving and asking for reasons, defending and challenging claims that amount to taking up positions in a contestable, public, normative space” (p. 2).

“The two traditions ought by rights to be understood as focusing on different aspects of language: roughly, on the meanings of linguistic expressions, and on their use. In suitably broad senses, we might understand semantics as the study of meaning, and pragmatics as the study of use or discursive practices and abilities. So understood, semantics (even a semantics inspired by and paradigmatically applicable to logic) and pragmatics show up as complementary theoretical endeavors. The goal should be to synthesize semantic and pragmatic theories…. Perhaps the combination of those thoughts recommends rather a more balanced view that eschews claims of explanatory priority in favor of understanding each aspect as in principle intelligible only in terms of its relation to the other” (pp. 2-3, emphasis in original).

“The lesson that emerges, we will argue, is a kind of discursive or linguistic rationalism. Language becomes visible as at base the medium of reasons, and reasoning as the beating heart of language. On the side of pragmatics, the fundamental speech act is that of making claims. The basic speech act of making claims, asserting, is to be understood in terms of practices of defending and challenging those claims, by making other claims that have the practical significance of giving reasons for and against them. Understanding claiming this way provides a path to understanding the claimable contents expressed by declarative sentences in terms of the role they play in relations of being a reason for or against — what we will call ‘reason relations” (p. 3, emphasis in original).

He continues, “On the side of semantics, worldly represented states show up as what determines the reason relations of consequence and incompatibility that the sentences whose truth-makers and falsifiers they are stand in to one another: their roles in reason relations. By understanding the common topic that semantic and pragmatic metalanguages articulate aspects of, not just under the vague rubric of ‘language’, but more specifically as the implicit reason relations that distinguish discursive practices as such, we can better understand not only the relations between the meaning and the use of linguistic expressions, but also the relations between truth (the central concept of traditional semantics) and justification (the central concept of pragmatics, according to linguistic rationalism), in the form of practices of defending claims by giving reasons for them and challenging claims by giving reasons against them” (pp. 3-4, emphasis in original).

“At the core of this book, then, is the rationalist explanatory strategy of understanding the nature of language in terms of what we will call ‘reason relations’. As addressed here, that is a genus with two principal species: implication and incompatibility. They correspond to being a reason for and being a reason against” (p.4).

“A closely related term of art is ‘vocabulary’. We use it in a technical sense, to mean a lexicon or set of declarative sentences, together with an implication relation and an incompatibility relation defined on those sentences. To begin with, we can think of an implication relation as holding between a set of sentences that are its premises and a single sentence that is a conclusion that follows from, is a consequence of, or is implied by those premises. An incompatibility relation holds between a set of premises and a further sentence that those premises exclude, or rule out, or are incompatible with” (p. 5).

He continues, “By calling them (declarative) ‘sentences’ we just mean that they are what in the first instance stand to one another in reason relations of implication and incompatibility…. In virtue of standing to one another in reason relations of implication and incompatibility, what thereby count as declarative sentences express conceptual contents. Those contents can be thought of as the functional roles the sentences play in constellations of implications and incompatibilities” (ibid).

“According to this order of explanation, the key question is: what do we mean by talk of reason relations of implication and incompatibility? In virtue of what does something deserve to count as a consequence or incompatibility relation?” (ibid).

“The idea is to identify reason relations in terms of the various vocabularies that can be used to specify them. Because these are vocabularies for talking about (the reason relations of) other vocabularies, they are metavocabularies. Because it is in particular the reason relations of base vocabularies that they address, we can call them rational metavocabularies” (pp. 5-6, emphasis in original).

“Semantic metavocabularies explain reason relations of implication and incompatibility by specifying what the sentences that stand in those relations mean, in the sense of how the world must be for what they say to be true. The sentences stand to one another in relations of implication and incompatibility because the objective states of affairs that are their semantic truth conditions stand to one another in modally robust relations of necessitation and noncompossibility” (p. 6).

“Pragmatic vocabularies explain what is expressed by reason relations of base vocabularies by saying what features of the discursive practice of using those sentences it is, in virtue of which practitioners count as practically taking or treating the sentences as standing to one another in relations of implication and incompatibility. Pragmatic metavocabularies make it possible to say what it is that language users do in virtue of which they are properly to be understood as practically taking or treating some sentences as implying others in the sense of taking assertion or acceptance of the premises as providing reasons for asserting or accepting the conclusions, and practically taking or treating some sentences as incompatible with others in the sense of taking assertion or acceptance of the premises as providing reasons against asserting or accepting the conclusions. Reason relations show up from the expressive perspective provided by pragmatic metavocabularies as normative standards for assessment of the correctness of rational defenses of and challenges to claims, made by offering other claims as reasons for or reasons against those claims” (p. 6).

“As we will see later in much more detail, to do their job properly, semantic metavocabularies must use alethic modal vocabulary to make claims about what states and combinations of states of the world the base vocabulary talks about are and are not possible. To do their job properly, pragmatic metavocabularies must use deontic normative vocabulary to make claims about what acts, practical attitudes, and combinations of them are and are not appropriate, and what other acts and attitudes would and would not entitle an interlocutor to them. What can be said in alethic modal terms is substantially and importantly different from what can be said in deontic normative terms. The one concerns features of the objective world, the other features of the practice of discursive subjects. These are the two poles of the intentional nexus that links knowers and the known, minds and the world they understand and act in, representings and what is represented. We want to understand both kinds of thing, and the important relations between them” (p. 7).

“Alethic” is from the Greek aletheia, for truth. The parallelism or isomorphism between the “alethic modal” notion of measuring the subjunctive robustness of assertions, and a “deontic normative” Kantian articulation of the compelling or necessary character of ethical conclusions, which Brandom has long stressed, is very substantially elaborated in the new book.

“In the terms used above to introduce the idea of reason relations we propose to understand the alethic modal semantic metavocabulary and the deontic normative pragmatic metavocabulary as offering different (meta)conceptual perspectives on a common object: the incompatibility of what is expressed by the declarative sentence p and what is expressed by the declarative sentence q. Corresponding claims apply to reason relations of consequence or implication” (pp. 7-8, emphasis in original).

Next in this series: An Isomorphism

Interim Recap

We are still slowly walking through Gwenaëlle Aubry’s groundbreaking fresh reading of Aristotle’s Metaphysics in the second edition of her Dieu sans la puissance (2020). She highlights neglected aspects of the rich meaning of Aristotle’s key terms dynamis and energeia, which I learned in the Latin-based English of potentiality and actuality.

On the one hand, these are central to Aristotle’s account of motion. Aristotle identifies dynamis as the immanent source or principle of motion in natural things. He calls motion itself an incomplete energeia, and the entelechy of a dynamis. But in so doing, he also gives these terms a modal sense that he indicates is more primary than the sense having to do with motion.

That is to say, the Physics already effectively identifies in-act and in-potentiality as modalities of saying something “is” something. To be something in-act is to fully — immanently and concretely, as expressed in actions and interactive behavior — be that thing.

The Physics and other works on nature also already subordinate motion and sources of motion to causality by ends. Aristotle’s general approach to explanation leaves room for mechanical explanation (relativized to the level of hypothetical necessity), but avoids determinism, by subordinating mechanical explanation to explanation in terms of the realization of ends, which may occur in more than one way. For example, an animal is generally determined by a need for food, but the specific ways it will seek or find it on a given day are largely governed by “accidental” conjunctions of circumstances. Hypothetical necessity allows for a kind of play or maneuvering room in the working out of results.

Most recently, we saw that dynamis for Aristotle is always relative to something. Being something in potentiality derives its meaning from what it is to be that something in act. This reflects the priority of actuality that Aristotle always insists upon. If in the register of doing we call dynamis a power, this must be understood in a narrow sense as the power to do something definite. In the case of a “rational” power (one associated with a being capable of deliberation), it is understood as the ability to optionally do or not do some definite thing. More fundamentally, every particular potentiality is a potentiality to be some definite thing, or to exercise some definite way of being.

Since the same being may have many such powers or capabilities, potentiality as a modality is effectively multiple. We never have just one potentiality, but rather a field of potentiality consisting of multiple alternative real possibilities and capabilities.

The relativity of dynamis says that there is never a blank slate, or a completely undetermined situation. Things are not rigidly predetermined, but nothing ever just happens in a completely arbitrary way either. Looking backward, there is always an immanent explanation and a reason why things turned out the way they did.

Next in this series: Act in Process

Potentiality and Possibility

“At the conclusion of Theta 3, we had recognized in dunamis at the same time the condition of becoming and a mode of being, and in energeia the mode of being that is opposed to it and which characterizes, beyond movement, all that which is effective. In defining what is in-potentiality as that which is not in-act, we have also distinguished it from non-being, in characterizing it as that which can be in act. Now we need to pursue the examination of what is in play in this division, or the modality of the relation of the in-potentiality to act” (Aubry, Dieu san la puissance, 2nd ed., ch. 4, p. 124, my translation throughout, with Becker number citations to Aristotle’s Greek text elided).

“The discussion of Theta 4 concerns neither dunamis nor what is dunamei, but rather the dunaton. This term nonetheless can designate both the possible and that which has power, or the capable, just as much as adunaton can designate the impossible as well as that which lacks power. In Theta 3, the dunaton had been defined in terms of dunamis as ‘that for which nothing makes it impossible for the act (energeia) to exist, when it is said to have power (dynamis)'” (ibid).

Clearly, dynamis, dynamei, and dynaton all have related etymologies. My Greek isn’t strong enough to just casually read Aristotle’s original the way I can mostly read Aubry’s French without a dictionary, so this is a bit of an eye-opener. This is why Aristotle’s discussions of what we render by English words that have different etymologies are so closely related.

Because the English words do not have this visible relation to one another, it is easy to be confused by the ways in which Aristotle relates the corresponding Greek terms. For years, I have been puzzled by English translators’ seemingly random alternations between respective uses of power, potentiality, and possibility for what was supposed to be the “same” concept in Aristotle. Aubry’s highlighting of the Greek words tells me I should have long ago studied this more carefully with the side-by-side Greek and English texts in the Loeb edition. The translators’ alternations are probably not random at all, just not commented upon. We are not dealing here with things confusingly said of one same concept, but rather with things more clearly said about each of several related concepts. This is just the kind of disambiguation that Aristotle himself pioneered.

“Book Delta defines [the possible] differently, as that of which the contrary is not necessarily false; that which is true; that which can be true. Thus characterized without relation to dunamis, dunaton no longer means having power, but possible. Delta opposes it to the impossible, adunaton, defined as ‘that of which the contrary is necessarily true’ (for example, the commensurability of the diagonal of a square with its sides), and distinguishes the possible and the impossible thus defined, from power (dunamis) and the lack of power (adunamia)” (ibid).

“Nevertheless, the definitions of Delta again carry an equivocity: in its second sense (that which is true), the possible includes the necessary, or what cannot not be: according to the first and third definition, on the other hand, it is identified with the contingent (to endekhomenon). It is this last sense that is mentioned in Prior Analytics book I: ‘that which is not necessary, and of which one can think that it exists without that leading to any impossibility'” (pp. 124-125).

“The possible is indeed defined sometimes as including, sometimes as excluding the necessary. In its first sense, it can be identified with logical possibility: that is called possible which is not contradictory; the necessary — that which cannot not be the case — can thus be called possible, in the sense that it is true (noncontradictory) to say that it is the case. But the possible can also be identified with the contingent: it thus no longer [indifferently] designates that which cannot not be, or again that which can be this or that. In this second sense, the possible is opposed no longer to the contradictory, but seems to be identifiable with power, understood as the power of contraries (being A or not-A), and of contradictories (being or not being” (p. 125).

We saw previously that both of two contradictories cannot be in act or be the case at the same time, but contradictories can both potentially be in act or be the case.

“The remainder of Theta 4, up to the beginning of Theta 5, nonetheless has the object of opposing determinism. This begins from the distinction between the impossible and the false. A strong determinist position in effect comes back to saying that nothing is possible that is not and will not be true. This position assumes a triple reduction, not only of the possible to the potential and of the potential to the actual, but also of the actual to the true” (p. 126).

This leads back to the position of the Megarians. But Aristotle clearly affirms that the non-actual is not impossible. She quotes, “It is false that you are standing right now, but it is not impossible” (ibid).

Aristotelian potentiality encompasses alternate possibilities.

Next in this series: An Aside on Necessity

Crossing Out

In the passive synthesis lectures, Husserl has a very original treatment of modality from an experiential point of view. First come varieties of negation, which most logicians do not treat as a modality.

“[I]n the normal case of perception, all fulfillment progresses as the fulfillment of expectations. These are systematized expectations, systems of rays of expectations which, in being fulfilled, also become enriched; that is, the empty sense becomes richer in sense, fitting into the way in which the sense was prefigured.”

“But every expectation can also be disappointed, and disappointment essentially presupposes partial fulfillment; without a certain measure of unity maintaining itself in the progression of perceptions, the unity of the intentional lived-experience would crumble. Yet despite the unity of the perceptual process occurring with this abiding, unitary content of sense, a break does indeed take place, and the lived-experience of ‘otherwise’ springs forth” (Analyses Concerning Passive and Active Synthesis, p. 64).

At a very broad level, I would note that the tenor of this discourse resembles that of Aristotle’s discussions of processes fundamentally driven by ends, and of complex patterns of activity. I am also reminded of Brandom’s treatment of the experience of error in Hegel, and of the Kantian unity of apperception as a task rather than a fact.

“Naturally, this does not take place in explicit acts; but if we were to go back actively, we would necessarily find the altered interpretation explicitly and consciously, that is, the continual concordance that has been produced. But layered beneath this is something that does not accord with it, and actually what does not accord pertains to the entire series that has been flowed-off insofar as we are still conscious of the old apprehension in memory…. [A]nd with it the substratum itself, the thing itself, which in the original perceptual series bore [one] sense determination…, is in this respect crossed out and at the same time reinterpreted: it is ‘otherwise'” (p. 65).

“In the case of normal perception, the perceived object gives itself as being in a straightforward manner, as existing actuality” (p. 66). Here Husserl is using the thin modern notion of actuality as “what is the case”, rather than the teleologically charged notion I’ve been concerned to elicit in Aristotle.

He continues, “But that ‘being’ can be transformed into ‘dubitable’ or ‘questionable’, into ‘possible’, into ‘supposed’; and then ‘non-being’ can also occur here, and in contrast to this, the emphatic ‘it really is’, the ‘it is indeed so’. Correlatively, (i.e., in a noetic regard), one speaks of a believing inherent in perceiving; from time to time we already speak here of judging, that is, of judicative perception” (ibid).

He refers back to the thin notion of logical judgment in Mill and Brentano, which he has criticized elsewhere. “Here the source of really radical clarifications is perception…. [T]he modalities occur precisely here, and it is no coincidence that perception and judgment have these modalities in common. From there we will be able to show that the modes of belief necessarily play their role in all modes of consciousness” (p. 67).

The empiricist tradition had treated perception as a purely passive reception, and consciousness as a kind of mirror or transparent medium of representation. Husserl is clearly at odds with both of these conceptions.

I am a bit wary that he nonetheless seems to treat consciousness as a universal common denominator of human experience. As I read Hegel, the latter sharply distinguishes what he misleadingly calls “self-consciousness” (which essentially involves ethical relations with others) from simple “consciousness” of objects. Hegel seems to me to locate most of being human such as believing and judging in already ethical self-consciousness, and to leave only the rather abstract and elementary sphere of objects in the realm of “consciousness”. This seems right to me.

“Here a conflict occurs between the still living intentions, and — emerging in newly instituted originality — the contents of sense and the contents of belief, together with the horizons proper to them.”

“But there is not only a conflict. By being presented in the flesh, the newly constituted sense throws its opponent from the saddle, as it were. By covering it over with the fullness of its presentation in the flesh as the sense that is now demanded, it overpowers the former, which was only an empty anticipation” (p. 68).

“But it does it in such a way as to characterize the conflicting moments of the old prefiguring as void. However, insofar as these moments of sense are mere moments of a unitary sense organized in a tight uniformity, the entire sense of the series of appearance is altered modally, and this sense is at the same time duplicated. For we are still conscious of the previous sense, but as ‘painted over’, and where the corresponding moments are concerned, crossed out” (p. 69).

“Belief clashes with belief, the belief of one content of sense and one mode of intuition with a belief of a different content in its mode of intuition. The conflict consists in the peculiar ‘annulment’ of an anticipating intention…. And specifically, it is an annulment that concerns an isolated component, while the concordance of fulfillment advances where the remaining components are concerned” (p. 70).

“[T]he original constitution of a perceptual object is carried out in intentions (where external perception is concerned, in apperceptive apprehensions); these intentions, according to their essence, can undergo a modification at any time through the disappointment of protentional, expectational belief” (p. 71).

“But if we compare the unaltered consciousness, on the one hand, with the consciousness that is altered by being crossed out, on the other hand, and if we make this comparison in view of the content of sense, then we will see that while the intention is indeed transformed, the objective sense itself remains identical. The objective sense still remains the same after being crossed out precisely as a crossed out sense” (ibid, emphasis in original).

Certainly it is true that if we analytically distinguish the previous sense from the operation of crossing out that is applied to it, that sense remains the same. He seems to be treating the intention as a subjective factor in contrast to the objective sense, and this fits with the way he is approaching modality here overall. But now it occurs to me that this seems to presuppose that the operation of crossing out — or the application of modality in general — does not also result in a new objective sense that includes the crossing out or the modality, as if modality were only something subjective. I am intrigued by this whole discussion, but I also think modality corresponds to something objective in the sense of really real, and indeed plays a key role in our progressive reaching toward the real (which is always an end, and never a possession).

Husserl on Passive Synthesis

Volume IX of Edmund Husserl’s collected works is entitled in English Analyses Concerning Passive and Active Synthesis. It consists of lectures given between 1920 and 1926, supplemented with various contemporary unpublished notes and manuscripts. Husserl explicitly offers his notion of passive synthesis as a successor to Kant’s idea of a productive synthesis of imagination (see Capacity to JudgeFigurative Synthesis). As usual when I read Husserl, in spite of reservations that some more global concepts he uses seem “too strong”, I am reveling in the richness and originality of his detailed developments.

The term “passive synthesis” has an air of paradox about it, but I have been very interested in the way both Aristotle and Kant deal with aspects of human sentience and sapience that are neither entirely active nor entirely passive, and this is the real significance of this whole topic. In a more general context, Hegel and Paul Ricoeur (who was an acute reader of Husserl) both also have much of value to say about such mixed forms. I tend to think that nothing in the human sphere is ever entirely active or entirely passive.

In spite of Husserl’s pains to distinguish what he called “transcendental” subjectivity (in a sense somewhat different from, but related to, that of Kant) from “psychological” subjectivity — and his early sharp criticism of “psychologism” — translator Anthony Steinbock’s introduction points out that during the less known stage documented in this volume, when Husserl began speaking of a “genetic” phenomenology, he also wrote extensively in the area of philosophical psychology. The material on passive synthesis could be considered a prime instance of this.

For Husserl, all philosophy — and indeed all science, if it is really doing what he thinks it should — ought to make us wiser and better.

He begins with some leading points from what he calls transcendental logic. With extremely broad brush, this is concerned with neither formalization nor real-world inference, but rather focuses on the constitution of meanings.

The main section on passive synthesis begins by noting some aspects of perception that are commonly passed over, including “perspectival adumbration of spatial objects”; “fullness and emptiness in the perceptual process”; how our acquired knowledge can be freely at our disposal; and the relation between being and being perceived.

Next he develops an unusually broad notion of modality, as a kind of modification of the sense of contents. This includes negation, but Husserl is not concerned here with ordinary logical negation. Under negation he discusses things like “disappointment as an occurrence that runs counter to the synthesis of fulfillment”; “partial fulfillment”; and “retroactive crossing out in the retentional sphere and transformation of the previous perceptual sense”. Then he treats doubt, including its origin in conflicting apprehensions and its resolution. Next comes the more standard modality of possibility, which he transforms by dividing it into “open” possibilities and “enticing” possibilities that motivate us. He concludes this subdivision by discussing relations between passive and active modalization, including “position-taking of the ego as the active response to the modal modification of passive doxa [belief]” and “questioning as a multilayered striving toward overcoming modalization through a judicative decision”.

The following subdivision is concerned with the notion of evidence. Here he discusses the “structure of fulfillment” as a “synthesis of empty presentation”; then “passive and active intentions and the forms of their confirmation and verification”, including “picturing, clarifying, and confirmation in the syntheses of bringing to intuition”, “possible types of intuition”, and “possible types of empty presentation”; “intention toward fulfillment [as] the intention toward self-giving”; “epistemic striving and striving toward the effective realization of the presented object”; and “the different relationships of intention and the intended self”. This subdivision concludes with “the problem of definitiveness in experience”, including “the problematic character of a verification that is possible for all intentions and its consequence for belief in experience”; “development of the problem of the in-itself for the immanent sphere”; and “rememberings as the source for an in-itself of objects”.

A long subdivision is devoted to association. Here he will be concerned with motivational relations rather than the psycho-physical causal relations with which “association” is associated in the empiricist tradition. A partial list of the contents includes “presuppositions of associative synthesis”; “syntheses of original time-consciousness”; “syntheses of homogeneity in the unity of a streaming present”‘; “the phenomenon of contrast”; “individuation in succession and coexistence”; “affection as effecting an allure on the ego”; “the gradation of affection in the living present and in the retentional process”; “the function of awakening in the living present”; “retroactive awakening of the empty presentations in the distant sphere”; “the transition of awakened empty presentations in rememberings”; “the difference between continuous and discontinuous awakening”; and “the phenomenon of expectation”.

The final subdivision of the section on passive synthesis is devoted to the stream of consciousness. This includes “illusion in the realm of remembering”; “overlapping, fusion, and conflict of rememberings of different pasts”; “the true being of the system of the immanent past”; “confirmation of self-givenness by expanding into the outer horizon”; “the primordial transcendence of the past of consciousness and the idea of its complete self-giving”; “the problem of a true being for the future of consciousness”; “disappointment as an essential moment of expectation”; and “the constitution of the objective world in its significance for the determinate prefiguring of futural consciousness”.

This is followed by a section on active synthesis, which also treats of “a transcendental, genetic logic”. Voluminous appendices further expand on the topics treated. (See Husserl on Perception; Crossing Out; Enticing Possibilities?; Active and Passive; Husserl on Evidence: Introduction; Intuition, Presentation, Time; Intention and Intuition; Associative Synthesis; Passive Synthesis: Conclusion.)

Multiple Explanations

One of the great strengths of Aristotle’s approach to things is the way it makes use of multiple, complementary kinds of explanation. The paired modalities of actuality and potentiality and the four “causes” (ends and means, form and materiality) all interweave together to create rich tapestries of understanding. Aristotle famously said that to know is to be able to explain, and his notion of explanation is clearly hermeneutic and expansive, rather than reductive. (See also Interpretation; What and Why.; Difference; Classification; Definition.)