Logic for Expression

In recent times, Robert Brandom has pioneered the idea that the role of logic is primarily expressive. In his 2018 essay “From Logical Expressivism to Expressivist Logic”, he says this means its purpose is “to make explicit the inferential relations that articulate the semantic contents of the concepts expressed by the use of ordinary, nonlogical vocabulary” (p. 70).

In my humble opinion, this is what logic was really supposed to be about in Aristotle, but the tradition did not follow Aristotle. Aristotle insisted that logic is a “tool” not a science, but most later authors have assumed the contrary — that logic was the “science” of correct reasoning, or perhaps the science of consequence relations. Several scholars have nonetheless rediscovered the idea that the purpose of logical demonstration in Aristotle is not to prove truths, but to express reasoned arguments as clearly as possible.

Brandom says that “the task of logic is to provide mathematical tools for articulating the structure of reasoning” (p. 71). People were reasoning in ordinary life long before logic was invented, and continue to do so. But the immensely fertile further development of logic in the late 19th and early 20th centuries was mostly geared toward the formalization of mathematics. Reasoning in most specialized disciplines — such as the empirical sciences, medicine, and law — actually resembles reasoning in ordinary life more than it does specifically mathematical reasoning.

According to Brandom, “The normative center of reasoning is the practice of assessing reasons for and against conclusions. Reasons for conclusions are normatively governed by relations of consequence or implication. Reasons against conclusions are normatively governed by relations of incompatibility. These relations of implication and incompatibility, which constrain normative assessment of giving reasons for and against claims, amount to the first significant level of structure of the practice of giving reasons for and against claims.”

“These are, in the first instance, what Sellars called ‘material’ relations of implication and incompatibility. That is, they do not depend on the presence of logical vocabulary or concepts, but only on the contents of non- or prelogical concepts. According to semantic inferentialism, these are the relations that articulate the conceptual contents expressed by the prelogical vocabulary that plays an essential role in formulating the premises and conclusions of inferences” (pp. 71-72).

“Material” relations of consequence and incompatibility have a different structure from formal ones. Formal consequence is monotonic, which means that adding new premises does not change the consequences of existing premises. Formal contradiction is “explosive”, in the sense that any contradiction whatsoever makes it possible to “prove” anything whatsoever (both true statements and their negations), thereby invalidating the very applicability of proof. But as Brandom reminds us, “outside of mathematics, almost all our actual reasoning is defeasible” (p. 72). Material consequence is nonmonotonic, which means that adding new premises could change the consequences of existing ones. Material incompatibilities can often be “fixed” by adding new, specialized premises. (As I somewhere heard Aquinas was supposed to have said, “When faced with a contradiction, introduce a distinction”.)

Brandom notes that “Ceteris paribus [“other things being equal”] clauses do not magically turn nonmonotonic implications into monotonic ones. (The proper term for a Latin phrase whose recitation can do that is ‘magic spell’.) The expressive function characteristic of ceteris paribus clauses is rather explicitly to mark and acknowledge the defeasibility, hence nonmonotonicity, of an implication codified in a conditional, not to cure it by fiat” (p. 73).

“There is no good reason to restrict the expressive ambitions with which we introduce logical vocabulary to making explicit the rare material relations of implication and incompatibility that are monotonic. Comfort with such impoverished ambition is a historical artifact of the contingent origins of modern logic in logicist and formalist programs aimed at codifying specifically mathematical reasoning. It is to be explained by appeal to historical causes, not good philosophical reasons” (ibid). On the other hand, making things explicit should be conservative in the sense of not changing existing implications.

“…[W]e should not emulate the drunk who looks for his lost keys under the lamp-post rather than where he actually dropped them, just because the light is better there. We should look to shine light where we need it most” (ibid).

For relations of material consequence, the classical principle of “explosion” should be replaced with the weaker one that “if [something] is not only materially incoherent (in the sense of explicitly containing incompatible premises) but persistently so, that is incurably, indefeasibly
incoherent, in that all of its supersets are also incoherent, then it implies everything” (p. 77).

“The logic of nonmonotonic consequence relations is itself monotonic. Yet it can express, in the logically extended object language, the nonmonotonic relations of implication and incompatibility that structure both the material, prelogical base language, and the logically compound sentences formed from them” (p. 82).

Material consequence relations themselves may or may not be monotonic. Instead of requiring monotonicity globally, it can be declared locally by means of a modal operator. “Logical expressivists want to introduce logical vocabulary that explicitly marks the difference between those implications and incompatibilities that are persistent under the addition of arbitrary auxiliary hypotheses or collateral commitments, and those that are not. Such vocabulary lets us draw explicit boundaries around the islands of monotonicity to be found surrounded by the sea of nonmonotonic material consequences and incompatibilities” (p. 83).

Ranges of subjunctive robustness can also be explicitly declared. “The underlying thought is that the most important information about a material implication is not whether or not it is monotonic — though that is something we indeed might want to know. It is rather under what circumstances it is robust and under what collateral circumstances it would be defeated” (p. 85).

“The space of material implications that articulates the contents of the nonlogical concepts those implications essentially depend upon has an intricate localized structure of subjunctive robustness and defeasibility. That is the structure we want our logical expressive tools to help us characterize. It is obscured by commitment to global structural monotonicity—however appropriate such a commitment might be for purely logical relations of implication and incompatibility” (pp. 85-86).

“Logic does not supply a canon of right reasoning, nor a standard of rationality. Rather, logic takes its place in the context of an already up-and-running rational enterprise of making claims and giving reasons for and against claims. Logic provides a distinctive organ of self-consciousness for such a rational practice. It provides expressive tools for talking and thinking, making claims, about the relations of implication and incompatibility that structure the giving of reasons for and against claims” (p. 87).

Causes: Real, Heuristic?

The neoplatonic and scholastic traditions tended to treat causes as hypostatized real metaphysical principles, either inferred or simply given. Modern science in its more sophisticated statements has generally treated causes in a more heuristic way, as useful for the explanation of lawful regularity in phenomena.

I read the “causes” or “reasons why” in Aristotle as a sort of hermeneutic tools for understanding. This would encompass the kind of explanations employed by modern science, as well as much else that is helpful for understanding things in ordinary life, and for realizing our potential as animals involved with meaning and values.

Aristotle’s Metaphysics treats causes in Book V, in the context of “things said in many ways”. I will here quote the short first chapter, which introduces causes indirectly through the related concept of arché (governing principle, beginning, or as Sachs translates it, “source”):

“Source means that part of a thing from which one might first move, as of a line or a road there is a source in one direction, and another one from the opposite direction; and it means that from which each thing might best come into being, as in the case of learning, sometimes one ought to begin not from what is first and the source of the thing, but from which one might learn most easily; or it means that constituent from which something first comes into being, such as the keel of a ship or the foundation of a house, and in animals some say it is the heart, others the brain, and others whatever they happen to believe is of this sort; or it means that which is not a constituent, from which something first comes into being, and from which its motion and change naturally first begin, as a child from its father and mother, or a fight from insults; or it means that by whose choice a thing is moved or what changes changes, in the sense in which the ruling offices of cities as well as oligarchies, monarchies, and tyrannies are called sources, as are the arts, and among these the master crafts most of all. Also, that from which a thing is first known is called the source of the thing, such as the hypotheses of demonstrations.”

“Causes [aitiai] are meant in just as many ways, since all causes are sources. And what is common to all sources is to be the first thing from which something is or comes to be or is known; of these, some are present within while others are outside. For this reason nature is a source, as are elements, thinking, choice, thinghood, and that for the sake of which; for the good and the beautiful are sources of both the knowledge and the motion of many things” (Sachs translation, pp. 77-78).

What is emphasized in the notion of “source”, which Aristotle uses to provide insight into that of “cause”, is what is ultimately — or at least relatively ultimately — behind something, not that which is immediately behind it. By contrast, what I have been calling the “modern” (common-sense, not properly scientific) sense of “cause” is supposed to “operate” in an at least relatively immediate and direct (proximate) way.

Efficient vs Proximate Causes

Joe Sachs links the notion of proximate cause to what I have called the modern sense of “efficient cause”.

The brief passage in Aristotle’s Metaphysics that seems to have primarily driven scholastic discussions of efficient causes reads “In yet another [way], [cause] is that from which the first beginning of change or rest is, as the legislator is a cause, or the father of a child, or generally the maker of what is made, or whatever makes a changing thing change” (Book V chapter 2, 1013a30-33, Sachs translation, p. 78).

Sachs’ footnote to this passage says “This is sometimes mistakenly called the efficient cause. Aristotle never describes it in such a way, and we generally intend by the phrase [efficient cause] the proximate cause, the last event that issues in the effect. Aristotle always means instead the origin of the motion, when it happens to be outside the moving thing. It is only in a derivative sense that he will speak of a push or a bump as being a cause at all, since, as he says at 1013a16 above, all causes are sources” (p. 78n).

When he says “Aristotle never describes it this way”, I think he means that “efficient cause” is yet another Latin-derived standard translation that has quite different connotations from the original Greek.

The excellent Stanford Encyclopedia of Philosophy article “Aristotle on Causality” reconciles the brief reference in the Metaphysics with Aristotle’s much more detailed discussion in the Physics. This is worthy of an unusually long quotation:

“[A]n adequate explanation of the production of a [bronze] statue requires also a reference to the efficient cause or the principle that produces the statue. For Aristotle, this is the art of bronze-casting the statue….”

“This result is mildly surprising and requires a few words of elaboration. There is no doubt that the art of bronze-casting resides in an individual artisan who is responsible for the production of the statue. According to Aristotle, however, all the artisan does in the production of the statue is the manifestation of specific knowledge. This knowledge, not the artisan who has mastered it, is the salient explanatory factor that one should pick as the most accurate specification of the efficient cause (Phys. 195b21-25). By picking the art, not the artisan, Aristotle is not just trying to provide an explanation of the production of the statue that is not dependent upon the desires, beliefs and intentions of the individual artisan; he is trying to offer an entirely different type of explanation – namely, an explanation that does not make a reference (implicit or explicit) to these desires, beliefs and intentions. More directly, the art of bronze-casting the statue enters in the explanation as the efficient cause because it helps us to understand what it takes to produce the statue; that is to say, what steps are required to produce the statue. But can an explanation of this type be given without a reference to the final outcome of the production, the statue? The answer is emphatically “no”. A model is made for producing the statue. A mold is prepared for producing the statue. The bronze is melted and poured for producing the statue. Both the prior and the subsequent stage are for the sake of a certain end, the production of the statue. Clearly, the statue enters in the explanation of each step of the artistic production as the final cause or that for the sake of which everything in the production process is done.”

“In thinking about the four causes, we have come to understand that Aristotle offers a teleological explanation of the production of a bronze statue; that is to say, an explanation that makes a reference to the telos or end of the process. Moreover, a teleological explanation of the type sketched above does not crucially depend upon the application of psychological concepts such as desires, beliefs and intentions. This is important because artistic production provides Aristotle with a teleological model for the study of natural processes, whose explanation does not involve beliefs, desires, intentions or anything of this sort. Some have objected that Aristotle explains natural process on the basis of an inappropriately psychological teleological model; that is to say, a teleological model that involves a purposive agent who is somehow sensitive to the end. This objection can be met if the artistic model is understood in non-psychological terms. In other words, Aristotle does not psychologize nature because his study of the natural world is based on a teleological model that is consciously free from psychological factors….”

“One final clarification is in order. By insisting on the art of bronze-casting as the most accurate efficient cause of the production of the statue, Aristotle does not mean to preclude an appeal to the beliefs and desires of the individual artisan. On the contrary, there are cases where the individual realization of the art obviously enters in the explanation of the bronze statue. For example, one may be interested in a particular bronze statue because that statue is the great achievement of an artisan who has not only mastered the art but has also applied it with a distinctive style. In this case it is perfectly appropriate to make reference to the beliefs and desires of the artisan. Aristotle seems to make room for this case when he says that we should look “for general causes of general things and for particular causes of particular things” (Phys. 195b25-26). Note, however, that the idiosyncrasies that may be important in studying a particular bronze statue as the great achievement of an individual artisan may be extraneous to a more central (and more interesting) case. To understand why let us focus on the study of nature. When the student of nature is concerned with the explanation of a natural phenomenon like the formation of sharp teeth in the front and broad molars in the back of the mouth, the student of nature is concerned with what is typical about that phenomenon. In other words, the student of nature is expected to provide an explanation of why certain animals typically have a certain dental arrangement.”

Legal Uses of “Cause”

According to Wikipedia, two main kinds of “cause” are used in (U.S.) legal assessments of liability: cause-in-fact and proximate cause. A cause-in-fact is anything without which something would not have happened. The same event could clearly have multiple causes-in-fact. Cause-in-fact is a necessary but not sufficient condition for proving proximate cause. Proximate causation involves the additional element that the causing event be sufficiently related to the injury for the courts to consider it “the” cause of the injury for purposes of liability. I think it serves effectively as a kind of model for talk about “the” cause of something in general.

The notion of proximate cause seems close to the naive notion of cause that Russell wanted to remind us plays no role in modern science, and at the same time to the intuition of causal efficacy that Whitehead took to be involved in the common-sense apprehension of medium-sized wholes. I have associated both of these with what I have called “causality in the modern sense”. Proximate causes differ from these insofar as the law is only concerned with the proximate causes of particular events or states of affairs, whereas Russell and Whitehead were both concerned with what are taken to be repeatable cases of causal efficacy.

It is important to point out that the notion of proximate cause is explicitly tied to questions of legal liability. In the wake of Kant and Brandom, it should not be surprising to find that more generally, the descriptive “causality in the modern sense” that allows us to reductively talk about “the” cause of something has this close connection to considerations of blame and culpability. Similarly, Aristotle’s “categories” are etymologically kinds of accusations, and Locke spoke of the person as a “forensic” concept.

Russell on Causality

Bertrand Russell (1872-1970) was one of the founders of analytic philosophy. His contributions to mathematical logic, philosophy of mathematics, and philosophy of language were highly influential, and he wrote on a host of other topics as well. In a famous 1912 essay “On the Notion of Cause”, he addressed the common prejudice that I have been referring to vaguely as “causality in the modern sense”, and argued that modern science does not in fact rely on it. I support this conclusion.

According to Russell, “the word ’cause’ is so inextricably bound up with misleading associations as to make its complete extrusion from the philosophical vocabulary desirable” (Mysticism and Logic, p.180). “In spite of these difficulties, it must, of course, be admitted that many fairly dependable regularities of sequence occur in daily life” (p. 187).

The idea of the supposed “law of causality” is that the same causes always produce the same effects. Russell points out that the alleged necessity with which one “event” is said to follow another depends on an abstracted notion of repeatable “events”, but every concrete event implicitly involves such a vast amount of individualizing detail as to be essentially unrepeatable.

“What I deny is that science assumes the existence of invariable uniformities of sequence of this kind, or that it aims at discovering them. All such uniformities, as we saw, depend upon a certain vagueness in the definition of the ‘events’…. In short, every advance in a science takes us farther away from the crude uniformities which are first observed” (p. 188, emphasis added).

Behind such presumptions of uniformity lies the prejudice that a cause somehow compels a particular effect. “What I want to make clear at present is that compulsion is a very complex notion, involving thwarted desire. So long as a person does what he wishes to do, there is no compulsion, however much his wishes may be calculable by the help of earlier events. And where desire does not come in, there can be no question of compulsion. Hence it is, in general, misleading to regard the cause as compelling the effect” (p. 190, emphasis added). “A volition ‘operates’ when what it wills takes place; but nothing can operate except a volition. The belief that causes ‘operate’ results from assimilating them, consciously or unconsciously, to volitions” (p. 191).

“[A]ny causal sequence which we may have observed may at any moment be falsified without a falsification of any laws of the kind that the more advanced sciences aim at establishing” (p. 194). “The uniformity of nature does not assert the trivial principle, ‘same cause, same effect’, but the principle of the permanence of laws” (p. 196). “In all science we have to distinguish two sorts of laws: first, those that are empirically verifiable but probably only approximate; secondly, those that are not verifiable, but may be exact” (p. 197).

“We cannot say that every law which has held hitherto must hold in the future, because past facts which obey one law will also obey others, hitherto indistinguishable but diverging in future. Hence there must, at every moment, be laws hitherto unbroken that are now broken for the first time. What science does, in fact, is to select the simplest formula that will fit the facts. But this, quite obviously, is merely a methodological precept, not a law of Nature” (p. 204, emphasis in original).

“We found first that the law of causality, as usually stated by philosophers, is false, and is not employed in science. We then considered the nature of scientific laws, and found that, instead of stating that one event A is always followed by another event B, they stated functional relations between certain events at certain times, which we called determinants, and other events at earlier or later times or at the same time…. We found that a system with one set of determinants may very likely have other sets of a quite different kind, that, for example, a mechanically determined system may also be teleologically or volitionally determined” (pp. 207-208, emphasis added).

I have suggested that scientific laws expressed in terms of equations are a specific kind of what Aristotle called formal “causes” (or better, formal “reasons why”). They are the kind that is expressible in mathematics. But natural or physical causes are still commonly conceived as efficient causes in the sense that this term acquired in late scholasticism, and it is this prejudice that Russell was addressing here.

The diverse compilation Aristotle’s early editors called Metaphysics (“after the Physics“) includes a summary of the four causes discussed in the Physics. Unlike other parts of the Metaphysics that, for example, discuss the term commonly translated as “substance” in far greater depth than in the Categories, the summary of efficient cause in the Metaphysics is less sophisticated than the discussion in the Physics. Thomistic and late scholastic notions of efficient cause seem to be based on the more simplistic account given in the Metaphysics, where the efficient cause is treated as more narrowly concerned with motion.

The Physics says very explicitly that the art of building, not the carpenter or the carpenter’s action, is most properly the “efficient cause” of the building of a house. The building of a house is implicitly considered as an end, not as a concrete motion. The art of building is the primary means by which this end can be successfully accomplished. This suggests to me that just as the “material cause” in Aristotle is hylomorphically paired with the “formal cause”, the “efficient cause” is related to the “final cause” as means are related to ends. Efficient cause as the means by which an end is realized is quite a bit different than, and more general than, the efficient cause as cause of motion that is the basis of the Thomistic and late scholastic concepts, as well as of the “modern” prejudice addressed by Russell.

Whitehead: Process, Events

The originally British mathematician and philosopher Alfred North Whitehead (1861–1947) was profoundly concerned with the inter-relatedness of things. His later “philosophy of organism” inspired a movement of so-called “process theology”.

Whitehead was one of the inventors of universal algebra, which extends algebraic principles to symbolic representations of things that are not numbers. He collaborated with Bertrand Russell on the famous Principia Mathematica (1910, 1912, 1913) , which sought to ground all of mathematics in the new mathematical logic, but was less attached than Russell to the goal of reducing math to logic.

He did work in electrodynamics and the theory of relativity, emphasizing a holistic approach and the nonlocal character of electromagnetic phenomena. Counter to the spirit of the time, he developed a philosophy of science that aimed to be faithful to our intuitions of the interconnectedness of nature. He characterized mathematics as the abstract study of patterns of connectedness. In Science and the Modern World (1926), rejecting the world views of Newton and Hume as understood by the logical empiricists, he developed alternatives to then-dominant atomistic causal reductionism and sensationalist empiricism. Eventually, he turned to what he and others called metaphysics.

His Process and Reality (1929) is a highly technical work that is full of interesting insights and remarks. It aims to present a logically coherent system that radicalizes the work of John Locke in particular, but also that of Descartes, Spinoza, and Leibniz. As with many systematic works, however, it doesn’t engage in depth with the work of other philosophers.

Whitehead’s radicalization involves, among other things, a systematic rejection of mind-body dualism; of representationalism; of metaphysical applications of the subject-predicate distinction; and of Locke’s distinction between “primary” (mathematical) and “secondary” (nonmathematical) qualities. Plato and Aristotle both get positive mention. Whitehead thoroughly repudiates the sensationalist direction in which Hume took Locke’s work; aims deliberately to be “pre-Kantian”; and seems to utterly ignore Hegel, though he gives positive mention to the “absolute idealist” F. H. Bradley.

He wants to promote a thoroughgoing causal realism and to avoid any subjectivism, while eventually taking subjective factors into account. He wants to reinterpret “stubborn fact” on a coherentist basis. He is impressed by the work of Bergson, and of the pragmatists William James and John Dewey.

For Whitehead, “experience” encompasses everything, but he gives this an unusual meaning. Experience need not involve consciousness, sensation, or thought. He stresses the realist side of Locke, and wants to apply some of Locke’s analysis of the combination of ideas to realities in general.

He says that the world consists fundamentally of “actual entities” or “actual occasions” or “concrescences”, which he compares to Descartes’ extended substances. However, he interprets Einstein’s theory of relativity as implying that substances mutually contain one another, a bit like the monads in Leibniz.

For Whitehead, every actual entity has a kind of self-determination, which is intended to explain both human freedom and quantum indeterminacy. On the other hand, he also says God is the source of novelty in the universe. Whitehead recognizes what he calls eternal objects, which he compares to Platonic ideas, and identifies with potentiality.

Compared to the Aristotelian notions of actuality and potentiality I have been developing here, his use of actuality and potentiality seems rather thin. Actuality is just factuality viewed in terms of the connections of things, and potentiality consisting in eternal objects amounts to a kind of abstract possibility. His notion of causality seems to be a relatively standard modern efficient causality, modified only by his emphasis on connections between things and his idea of the self-determination of actual entities. His philosophy of science aims to be value-free, although he allows a place for values in his metaphysics.

According to Whitehead, perception has two distinct modes — that of presentational immediacy, and that of causal efficacy. Humean sensationalism, as codified by early 20th century theories of “sense data”, tries to reduce everything to presentational immediacy, but it is our intuitions of causal efficacy that connect things together into the medium-sized wholes recognized by common sense. As far as it goes, I can only applaud this move away from presentational immediacy, though I have also tried to read Hume in a less reductionist way. (I also want to go further, beyond intuitions of efficient causality in the modern sense, to questions of the constitution of meaning and value that I think are more general.)

In his later works, he emphasizes a more comprehensive notion of feeling, which he sees as grounded in subjective valuations, glossed as having to do with how we take various eternal objects. Compared to the logical empiricism that dominated at the time, this is intriguing, but I want to take the more radically Aristotelian (and, I would argue, also Kantian) view that values or ends (which are themselves subjects of inquiry, not simply given) also ultimately drive the constitution of things we call objective. I also don’t see “metaphysics” as a separate domain that would support the consideration of values, over and above a “science” that would ostensibly be value-free.

Whitehead considered the scientific reductionism of his day to exemplify what he called the “fallacy of misplaced concreteness”. What I think he wanted to question by this was the idea that scientific abstractions are more real or more true than common-sense apprehensions of concrete things. I would phrase it a bit differently, but the outcome is the same. Abstractions can have great interpretive value, but they are things entirely produced by us that have value because they help us understand concrete things that are more independent of us.

Attempting to take into account the idea from quantum mechanics that reality is not only relational but also granular, he made what is to me the peculiar statement that “the ultimate metaphysical truth is atomism”. Whitehead is certainly not alone in this kind of usage; indeed, the standard modern physical notion of “atoms” allows them to have parts and internal structure. That concept is fine in itself, but “atom” is a terrible name for it, because “atom” literally means “without parts”. The word “atom” ought to denote something analogous to a point in geometry, lacking any internal features or properties whatsoever.

Be that as it may, Whitehead sees an analogy between the granularity of events in quantum mechanics and the “stream of consciousness” analyzed by William James. “Your acquaintance with reality grows literally by buds or drops of perception. Intellectually and on reflection you can divide these into components, but as immediately given, they come totally or not at all” (Process and Reality, p. 68). To me, this is an expression not of atomism but of a kind of irreducibility of medium-sized things.

Anyway, Whitehead’s “atomic” things are events. Larger events are composed of smaller events, but he wants to say there is such a thing as a minimal event, which still may have internal complexity, and to identify this with his notion of actual occasion or actual entity.

I like the identification of “entities” with occasions. For Whitehead, these are a sort of what I call “medium-sized” chunks of extension in space-time. Whitehead’s minimal events are nonpunctual.

Freed of its scholastic rigidifications, this is close to what the Aristotelian notion of “primary substance” was supposed to be. I think of the latter as a handle for a bundle of adverbial characterizations that has a kind of persistence — or better, resilience — in the face of change. Only as a bundle does it have this kind of resilience.

Although — consistent with the kind of grounding in scientific realism he is still aiming at — Whitehead emphasizes the extensional character of actual occasions, they implicitly incorporate a good deal of intensional (i.e., meaning-oriented, as distinguished from mathematical-physical) character as well. Following Brandom’s reading of Kant on the primacy of practical reason, I think it is better to explain extensional properties in terms of intensional ones, rather than vice versa. But I fully agree with Whitehead that “how an actual entity becomes constitutes what that actual entity is” (p. 23, emphasis in original), and I think Aristotle and Hegel would, too.

According to the Stanford Encyclopedia of Philosophy, Whitehead’s work was attractive to theologians especially because it offered an alternative to the traditional notion of an omnipotent God creating everything from nothing. Whitehead argued that the Christian Gospel emphasizes the “tenderness” of God, rather than dominion and power: “not… the ruling Caesar, or the ruthless moralist, or the unmoved mover. It dwells upon the tender elements in the world, which slowly and in quietness operate by love” (p. 343). “The purpose of God is the attainment of value in the world” (Whitehead, Religion in the Making, p. 100). God for Whitehead is a gentle persuader, not a ruler.

(I would not put unmoved moving in anywhere near the same bucket as ruling omnipotence. Unmoved moving in Aristotle is attraction or inspiration by a pure end, where all the motion occurs in the moved thing. It is not some kind of ruling force that drives things.)

History of Ethics: Plato

Traditional communities, even the most “primitive” known to modern anthropology, have well-defined, generally accepted ways of distinguishing good and bad actions. Hegel called this “ethical substance”.

What I call “ethics” involves a second level, in which the criteria for good and bad are subject to discussion. Here we are not simply laying down the law, but inquiring into the principles that ought to govern distinctions between good and bad. The oldest documented example of this kind of inquiry in our planetary family of cultures is the writings of Plato. How much of the literary character of Socrates in Plato is attributable to the historic Socrates is debated by scholars, but need not concern us here. It is in Plato that we find an actual record of Socratic inquiry. Other so-called “minor Socratic” schools also claimed to be inspired by Socrates, but left no record of critical give and take comparable to what we find in the dialogues of Plato.

Plato clearly recognized the weakness of argument from authority, and put the reasoned examination of principles before the mere fact of anyone’s say-so. He further pointed out that assertions about God’s will and its applicability to real-world cases need to be evaluated as human assertions, on the same footing as others. In discussions about truth, there are no specially privileged assertions or asserters. He set a strong ideal of sincerely seeking knowledge rather than assuming we have it, and by example promoted the modest attitude that humans should avoid making strong claims that human knowledge cannot validate. Many of his most important ideas are only presented as what I call “suggestions”.

Provocatively, Plato suggested that all beings desire the good, and that the Good is the most ultimate formative principle of all things. This reduces evil to ignorance of the true Good. The tendentious claim here is that evil is a kind of lack or defect, and that no one who aims at what is really evil properly understands what they are doing. This gives fundamental ethical significance to knowledge and the quest for better understanding. Treating evil as due to some lack of understanding also suggests a way of forgiving the evil-doer.

For Plato, wisdom and goodness are correlative. Wisdom especially includes the recognition of what we do not know. It is superior to any law. The most wise are the best qualified to govern, but do not want the job and must be coaxed into doing it.

Plato was unconcerned with questions like who decides who is wise, preferring to focus instead on how such judgments should be made. For the latter, he suggested the same kind of free and open dialogue and examination of reasons as for any other questions about truth.

“Moral”, “Judgment”

Hegel regarded a forgiving stance as transcending what he called the Moral World-View. Other writers have made distinctions between “ethics” and “morality”. I used to distinguish “morality”, as reducing ethics to simple compliance with externally given norms, from “ethics”, as concerned with inquiry into what really is right. But as a result of engagement with the literature on Kant, I have adopted a more Kantian usage that makes “morality” too a subject of inquiry in the best Socratic sense. I now use the word “moral” in the broad sense of what used to be called “moral philosophy”.

However sophisticated the underlying judgment may be, any unforgivingly judgmental attitude is prone to find fault with the world and with others. The Moral World-View in Hegel is several steps removed from the traditional attitude that norms are simply given. Its presentation is implicitly a critique of Kantian and Fichtean ethics. Here the judgment is rational. We are seriously thinking for ourselves about what is right. We are sincerely seeking to develop a point of view that is globally consistent and fair, and that takes everything relevant into account. But however nuanced a point of view we develop, it is still ultimately only a single point of view.

Hegel’s approach to ethics is singularly attuned to avoiding self-righteousness in all its forms. Hegelian forgiveness involves the recognition that no single point of view — no matter what subtleties it encompasses — is ever by itself finally adequate in the determination of what is right. For Hegel the ultimate arbiter of what is right is the universal community consisting of all rational beings everywhere, past, present, and future. Because it includes the future, the last word is never said.

This is far removed from the banality that all points of view are equally valid. Rather, everyone gets or should get an equal chance to participate in the dialogue, to be heard and to have their voice considered. But for each of us, the validity of our point of view is subject to evaluation by others, as Brandom has emphasized. We don’t get to individually self-certify. Nor is the validity of a point of view decidable by majority vote. Validation is not a matter of tallying up the conclusions of individuals, or of achieving consensus in a present community. It involves assessment of how the conclusions were reached. Previously accepted conclusions are always implicitly subject to re-examination.

On an individual level too, I like to stress the open-endedness of Aristotelian (and Kantian) practical judgment. The need to act requires that deliberation be cut short at some point. We aim to act with relatively robust confidence that we are doing the right thing, but the best practical confidence is not knowledge. Aristotle takes care to remind us that ethics is not a science. There are many things in life that we do not know, but in which we have justified practical confidence. Ethical judgment is like that.

Properly Human, More Than Human?

The conclusion of Aubry’s essay has a very different character from what preceded it. It rejoins her development elsewhere of a purely Aristotelian theology, and provides an interesting complement or contrast to the medieval debates about the spiritual significance of Aristotelian “intellect” that I have reviewed recently. As usual, in reading this it is best to forget what we think we know about what “intellect” is. It also seems to me there are a few resonances here with Harris’ reading of Hegel’s views on religion.

“Aristotelian ethics poses the possibility, for every human, of acceding to the divine in oneself. Far from being the prerogative of luck and of the blessings of the gods, this possibility is inscribed in the essence of every rational being: it demands to be developed and modified by virtuous work, the exercise of reason and of freedom. Thus, the access to this immanent transcendence, instead of being a natural gift or the effect of a divine inspiration, requires the mediation of the specifically human faculties: it is in being fully human that one can, for Aristotle, accede to the divine in oneself” (Aubry in Dherbey and Aubry, eds., L’excellence de la vie, p. 91, my translation).

I very much like the formulation “it is in being fully human”. This is an ethical criterion. Being human for Aristotle has little to do with biological species — any rational animal would be human. I have noted that being a rational animal is only having a certain potential. To be fully human is to actualize that potential.

Aubry notes that Aristotle “rejects the ethics of privilege and election as well as that of the natural good and of talent: he does not believe in conversion, in a first choice to which one can only, throughout one’s life, remain faithful” (ibid).

Aristotelian potentiality in its ethical dimension, Aubry says, is a conceptual translation of the figure of the Platonic daimon. This suggestion is new to me. She particularly refers to the myth of Er in Plato’s Republic, in which the human is said to choose her daimon rather than being chosen by it. In the same way, she says that for Aristotle the human chooses her potentiality instead of being determined by it.

She credits her colleague Dherbey at the end, and I think Dherbey’s remark that for Aristotle choice is more a matter of character than of punctual decision is highly relevant here. Putting the two together suggests a kind of reciprocal determination between character and this sort of nonpunctual choice. Paul Ricoeur has richly developed this kind of reciprocal relation, with explicit reference to Aristotle’s notion of character.

Next she moves to Aristotle’s brief explicit discussion of a kind of immortality, which does not seem to me to be an immortality of the soul. Aristotle linked immortality to what he calls intellect (nous) but left many details open, which later led to extensive debates between Thomists, Averroists, and Alexandrists like Pietro Pomponazzi (1462-1525).

“One could even say that Aristotle radicalizes the Platonic project: for the Platonic injunction to ‘immortalize oneself insofar as it is possible’ becomes, in Aristotle, an invitation to ‘immortalize oneself according to potentiality’. The divine is not in the human as a simple possibility, but indeed as a real potential. The human contains by nature her beyond-nature: she bears within herself an immanent principle of [self-] exceeding” (p. 92, emphasis in original).

This would seem to be a reference to the potential intellect, much discussed by Alexander of Aphrodisias, Averroes, Aquinas, and others. Despite their differences, these writers all basically agreed that potential intellect is fundamental to what distinguishes rational animals. For all of them, to be a fully realized rational animal is to have a certain relation to “intellect”, which transcends the biological organism.

Aubry continues, “One has seen in effect that the definitional dunamis [potentiality] that the ethical effort aims to realize is reason…. To the definitional dunamis of the human corresponds a double ergon [work] — for, if the first is properly human, the other is a bit more than human” (ibid). She had introduced the idea of “definitional potentiality” earlier in the essay. I think this just means the potentiality inherent to any rational animal. As noted above, the commentary tradition links this specifically to potential intellect.

Next she quotes from Nicomachean Ethics book 10 chapter 7. I will substitute a slightly longer version of the quote from Joe Sachs’ translation:

“But such a life would be greater than what accords with a human being, for it is not insofar as one is a human being that he will live in this way, but insofar as something divine is present in him, and to the extent that this surpasses the compound being, to that extent also the being-at-work of it surpasses that which results from the rest of virtue. So if the intellect is something divine as compared with a human being, the life that is in accord with the intellect is divine as compared with a human life. But one should not follow those who advise us to think human thoughts, since we are human, and mortal thoughts, since we are mortal, but as far as possible one ought to be immortal and to do all things with a view toward living in accord with the most powerful [Aubry has “noble”, and I don’t have my Greek text handy] thing in oneself, for even if it is small in bulk, it rises much more above everything else in power and worth. And each person would seem to be this part, if it is the governing and better part; it would be strange, then, if anyone were to choose not his own life but that of something else. What was said before will be fitting now too: what is appropriate by nature to each being is best and most pleasant for each, and so, for a human being, this is the life in accord with the intellect, if that most of all is a human being. Therefore this life is also the happiest” (Sachs trans., p. 193).

Aristotle compresses a tremendous amount into a few lines here. Many have found him too minimalist on these topics. I take his minimalism as reflecting an admirable intellectual modesty, carefully avoiding claims that are beyond human knowledge.

Traditional scholastic readings expanding on this aspect of Aristotle narrowly emphasize elaborating his very schematic, sketch-like remarks about intellect. I think the work of Paul Ricoeur (and of Hegel, particularly as read by Brandom, Pippin, and Harris) provides rich, multidimensional alternative expansions of Aristotle’s minimalist formulations on the ultimate ends of human life that are genuinely Aristotelian in spirit.

Aubry continues, “To be human in act, therefore, can signify being human among humans, or being a bit divine. One is certainly far, here, from the tragic wisdom, from an ethic of resignation and of limit. The Aristotelian ethic includes rather an irreducible dimension of [what from the tragic point of view would be] hubris [pride]. Divine knowledge is not posed as a simple ‘ideal’, nor divinization as a ‘regulative, not constitutive, principle’: on the contrary, and we underline it, the divine element that nous [intellect] is in the human, this immanent transcendent, is indeed a constitutive potentiality, a faculty to be actualized, and not a simple possibility. This actualization is nonetheless mediated: it is by the intermediary of humanity that the human rejoins the divine in herself, in exercising her reason, her virtue, her freedom. If the Aristotelian ethic is an ethic of surpassing, it passes nonetheless through full humanity: the daimon of Aristotelian eudaimonism [pursuit of happiness] is not enthusiasm, delirium, possession, or an irrational guide, arbitrary and infallible…. [I]t is possible, at the end of becoming virtuous, to be perfect and happy, even though this accomplishment, hindered by matter, broken by fatigue, is only ephemeral.”

“To the God of pure act of the Metaphysics, that God without power who has no other force than the desire he arouses, thus corresponds, in the Ethics, the divine posed in human potentiality” (p. 93).

Later religious traditions have often regarded talk about divinization of the human as objectionable. The great Persian Sufi Mansur al-Hallaj (858-922 CE) was stoned to death for saying “I am the Real”. Teachings of the great Christian theologian-philosopher-mystic Meister Eckhart (1260-1328) were condemned in the West.

Aristotle, however, has a very positive concept of a kind of pride that he calls “greatness of soul” (see Magnanimity), which he actually makes into a key virtue. He sees it as as promoting other virtues, and as prompting people to help others and be forgiving. Alain de Libera and Kurt Flasch have emphasized that the affirmative view of human life in Aristotelian ethics found a significant audience even in the middle ages.

All this provides an interesting contrast to both sides of the debate about humanism in 1960s France.

Virtue Not a Potential

I picked up L’excellence de la vie especially for the early essay of Gwenaëlle Aubry, “Actuality and Potentiality in Aristotelian Ethics” (my translation). Here she makes a number of important distinctions. Contrary to some modern interpretations, Aristotle’s natural teleology and values-first approach to ultimate philosophical questions do not lead to what 20th century philosophers called ethical naturalism, or to any kind of nature-based elitism. I’ve been assuming this all along, but it is good to spell out the argument.

Virtue can sound like the optimal realization of a healthy nature, but for Aristotle it is actually a kind of habit, so it cannot be straightforwardly natural. In Nicomachean Ethics book 2 chapter 1, Aristotle points out that we can throw a stone up in the air a thousand times, but this doesn’t change its natural tendency to fall back to the ground. One may be born with a penchant for courage, justice, or temperance, but for these qualities to become true virtues requires the engagement of reason and what Aubry calls the “transcendental” intellectual virtue of practical judgment (phronesis). Virtue is not an unevenly distributed innate talent, but a result of extensive practice that is available to all. It requires effort and “seriousness”.

If biological nature itself is shaped by implicit ends, what distinguishes human ethical development? “[T]he position of Aristotle is clear: virtue is not natural, but neither is it contrary to nature” (Aubry, p. 78, emphasis in original). Here we are in the territory of what the commentary tradition called “second nature”. Virtue for Aristotle is an acquired disposition. This rules out the notion that it is just the unfolding of something innate. Aubry says that ethical practice is a mediation between nature and something beyond nature. Before the fact, Aristotle evicts both naturalism and supernaturalism, in the way that these are commonly understood.

According to Aubry, in the ethical domain Aristotle’s standard notion of potentiality is subject to a triple modification. First, the goal of virtue is not to “be all you can be”. It is selective. Only the “definitional” potentiality of the human — to be what makes us properly human — is involved in virtue. Second, one only becomes fully human under the condition of actively choosing what one is essentially. “If everyone tends naturally toward the good, no one is naturally virtuous” (p. 79). Third, virtue can only be actualized in the context of a free exercise of reason.

“Virtue, albeit a necessary condition for the actualization of the definitional potentiality of the human, is not itself a potentiality” (p. 81). She quotes Aristotle in book 2 chapter 1 of the Nicomachean Ethics, “It is neither by nature nor against nature that the virtues are born in us, but nature has given us the capacity to receive them, and this capacity is brought to maturity by habit [hexis]” (p. 82). And again from the same, “All that we have naturally, we receive first in a state of potentiality, and it is later that we manifest it in act, as is clear in the case of the sensory faculties…. For the virtues on the contrary, their possession presupposes a previous exercise, as is the case for the other arts” (p. 83).

Aubry notes that this might seem like a vicious circle: it is necessary to act well to become capable of acting well. And in avoiding naturalism, have we replaced it with the opposite excess of a pure imposition? But this is artificial, and resembles the false paradoxes of learning. To be a good musician, one must play an instrument well, and one learns this through repeated practice. To become virtuous, one “practices” doing the right thing in the right way.