Nature of Form

We add one final claim to the list in the last post:

(8) Form is a network of relationships apt to make something one.

I will approach this in the manner of a disputed question, first raising a number of objections, then giving my explanation and replies to the objections.

Objection 1. According to this definition, form consists of many relations. But form makes a thing one. Thus form should not be in itself many, such as many relationships are, since many things are composed of units.

Objection 2. The definition begs the question by saying “apt to make something one.” Form is supposed to make things one, but if we want to say something about the nature of form, we should explain exactly how and why it does this.

Objection 3. A “network of relationships” might be some kind of form, but it seems to be an accidental form, not a substantial form, while the definition of form should be general enough to include both.

Objection 4. A thing can have the relations it has because of its particular nature. Therefore its nature cannot be defined by its relationships, since this would be circular. Thus form cannot be a network of relationships.

Objection 5. The definition is implicitly reductionist, and therefore opposed to thesis (4). For a composite thing, whether animal or artifact or anything else, will have many relations among its parts which define it, but it can be looked at and considered in many ways, while what appears to be most real must be its most basic parts, such as atoms or quarks or whatever.

Objection 6. Form seems to be unknown to us in a way in which the content of this definition is not, and therefore they must be somehow distinct. For example, whatever might be said about the definitions of blue proposed in the last post, it is clear that something is lacking there. There is something about the nature of blue that is quite unknown to us. So it seems unlikely that blue can be defined in the way proposed, and similarly unlikely that form can be defined as a network of relationships.

Objection 7. Christians, at least, must reject this definition, along with thesis (3), since the essence of God cannot be naturally known by human beings. Therefore God has a hidden essence, and since it is entirely simple, it cannot be a network of relationships.

Objection 8. This definition implies that the human soul is like a harmony, with all the consequences suggested by Simmias in the Phaedo, namely that the soul is mortal. So again Christians, at least, must reject this definition.

Objection 9. Composite things are made of both form and matter, so a relationship to matter should be included in the definition of form.

Objection 10. The network of relationships seems to be a construct of the mind more than a real thing. So one should reject this definition together with rejecting thesis (4), since what a thing really is, is something more basic that causes these relationships.

Objection 11. The definition might be true of material things, but if there are any immaterial things, it will not apply to them. Instead, they might well exist in themselves, without relation to other things, or at least not being defined by such relations. Likewise thesis (3) should probably be denied in relation to such things.

But let us go on to the explanation of this definition. If we consider the question, “what is form?”, one might immediately see a problem. Form is supposed to provide us the answer to the question about what a thing is, so if we ask what form is, we would seem to need a form of form. And even if this is possible, it is a process that cannot possibly go on forever, and therefore we will reach a point where we cannot find a form of form, and therefore we will not be able to answer the question. This is a complex issue which I will set aside for now, simply remarking for now that the question “what is this” needs to be answered in different ways for different things, including for form itself.

At the same time, however, the arguments of the previous post imply that form is accessible to us, and that we can know it both specifically and in general. Essences are not hidden from us, and it is form that both gives a thing the essence it has and that makes us understand. And since it is the very thing that is present in our mind when we understand the thing, it should be just as accessible to us as the contents of our own mind. In other words, we can say what a form is by answering the question, “What does my mind have in common with this thing when I understand it?” And thus we can answer the general question about form by noticing what our minds have in common with things they understand in general.

This answer is implicit in the discussion of thesis (7) in the last post. We noted in the case of “blue” that what both the senses and the mind have in common with things is a certain relation or network of relationships, namely those that correspond to the relations possessed by things apt to be seen by the sight as blue. And this will always be the case whenever we understand anything, since our understanding will always produce a sort of “model” of the thing understood. This is necessary since the understanding does not become an actual copy of the thing; such a becoming would in fact exclude understanding. If your mind literally became a tree when it attempted to understand it, you would understand nothing, since trees do not understand.

This applies at many levels. For example, not only does it apply to meaning and understanding, in some way it applies even to our language on the level of syntax. For example, Word2vec is famously capable of producing analogies which somewhat reflect analogies between the things signified, even though the meanings of the words are absent from its analysis. We should not stress this too much, however, since this takes a very small subset of relationships, even a small subset of relationships found in language, and shows how they will have a structural similarity to their causes. In a sense this does mean that the forms of things are present in linguistic syntax, but it is a very attenuated sense. In contrast, the forms of things are fully present in our understanding to the precise degree that we understand them. The qualification is important: we don’t understand anything perfectly, and consequently no form should be expected to be found perfectly in our understanding.

Others have suggested similar ideas about the natures of things. For example, Sean Collins says:

But for now I will set that aside and come to what I should like to propose as the heart of my thesis. I mentioned a moment ago that Scholastic thought has always acknowledged a dependence of the qualitative on the quantitative. There are many things, nevertheless, which we may recognize without really grasping their full implications. This brings me to what my son Liam wanted to say about form. He proposed, seemingly rather starkly, that there is no such thing as form in material things. But I believe what he meant is that there is cannot be a form in the manner frequently assumed; and I think he is absolutely right. What do I mean by “the manner frequently assumed”? What I mean is that we can cheerfully assert that quality, and therefore also substance, depends on quantity, but yet not see what this really means. What it means – what science proves over and over again – is not just that quality and substance depend on form externally as it were, but that they depend on it much more internally, which is to say structurally. In other words, in material things, form turns out not only to be compatible with an internal structure and heterogeneity, but to depend on it profoundly. I want to say in effect that in material things, to a surprisingly large extent, form IS structure. And so a conception of form which unifies things to the exclusion of a structure is a false conception.

You will perhaps recognize that this solves some problems, but raises others. The biggest problem that it solves is that very Scholastic principle that I have been referring to, which is that quality and substance, the more formal principles, depend on quantity. Now we can start to affirm that we know a little better what that really means. What it means is not just that things have to “be the right size,” but rather that quality and substance depend on quantity internally, because it is quantity that makes structure possible; and structure is, if you will, the intermediary between matter and whatever more abstract kind of form we may have yet to consider. And what I want to insist on again is that this structure is not a negligible thing; in fact it is so important that scientists spend a very large portion of their time examining it. Without it we could know, did know, only the first rudiments of how material things are made. And so this is why the metric part of scientific investigation acquires such a prominent aspect; it isn’t because that is all that the scientists are interested in or that they arbitrarily restrict themselves to it; on the contrary, it is because that is the very condition upon which an understanding of material forms hinges. In various places, Aristotle notes that there is a real difference between a mere dialectical or logical investigation of physical reality, and a truly physical one. The latter, as Aristotle understands it, depends on a sufficient accounting of the material aspects of things so that we can begin to see how forms are truly materialized. Now we can see perhaps a little better how this materialization of forms really happens. It happens especially through the understanding of quantitative structure.

Sean Collins is speaking about material things in particular, and structure as quantitative. My account is similar but more general: if there are any immaterial things, or things without quantity, it applies to them as well. Thus I speak of a network of relationships, of which “quantitative structure” would be more like a particular example.

Paul Almond gives a similar account:

Reality can only be meaningfully described in terms of relationships between things and internal properties of things. That being the case, why do we take the approach of reducing everything to relationships only, so that the “things” being connected by the relationships have no internal properties and all that exists is the structure of relationships itself? The idea of reducing everything to relationships only has been proposed by Tegmark. Suppose reality were viewed as a structure of relationships between things that had internal properties. Those internal properties could themselves only be described in terms of relationships between things. This means that we would have a structure of relationships between “things” and, inside each such “thing” there would also be a structure of relationships between some more basic entities. We would have no reason for declaring a boundary between the relationships outside the “thing” and the relationships inside the “thing”. Instead, we could just take the “edge of a thing” away and say that whatever relationships existed within a thing were just part of the external structure of relationships. The end result of this is that the “things” connected by these relationships have no internal properties at all. All that is left is a structure of relationships between points that have no internal properties. All that remains is the structure itself.

Almond gives this as an account of reality as such, while we give it as an account of form. This is not entirely the same, and consequently Almond’s account could be taken as denying the existence of matter, much like Alexander Pruss. This will be discussed more in my response to objection 9, but my account is not intended to reject the existence of matter. Nonetheless, matter does not contribute to the intelligibility of a thing, and it is therefore true in a sense that form is “most of” reality.

This kind of account is sometimes taken to imply that our understanding is entirely and permanently superficial. For example, Bertrand Russell says in The Analysis of Matter (page 10):

Physics, in itself, is exceedingly abstract, and reveals only certain mathematical characteristics of the material with which it deals. It does not tell us anything as to the intrinsic character of this material.

While mathematical physics as such does have specific limitations, both by reason of the mathematical approach and by the deliberate limitation of subject implied in “physics,” there is a more general problem here. Any account whatsoever of a thing will explain that thing in relationship to everything else, without giving an account of the “intrinsic character of this material.” But this is not because we are necessarily failing to account for something. It is because this is what it is to give an account at all, and because the network of relationships really is the what it is to be of the thing. There is no hidden essence, and the appearance that there must be some other nature, more fundamental, but which cannot be found by us, derives from a temptation towards the Kantian error. The thing does indeed exist in itself, and its mode of existence is not our mode of understanding, but this does not necessarily mean we do not understand it. On the contrary, this distinction is absolutely necessary for understanding at all.

The replies to the objections will be in another post, and as is usual with a disputed question, will clarify various aspects of this position.

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Mind and Matter

In Book III of On the Soul, Aristotle argues that the intellect does not have a bodily organ:

Therefore, since everything is a possible object of thought, mind in order, as Anaxagoras says, to dominate, that is, to know, must be pure from all admixture; for the co-presence of what is alien to its nature is a hindrance and a block: it follows that it too, like the sensitive part, can have no nature of its own, other than that of having a certain capacity. Thus that in the soul which is called mind (by mind I mean that whereby the soul thinks and judges) is, before it thinks, not actually any real thing. For this reason it cannot reasonably be regarded as blended with the body: if so, it would acquire some quality, e.g. warmth or cold, or even have an organ like the sensitive faculty: as it is, it has none. It was a good idea to call the soul ‘the place of forms’, though (1) this description holds only of the intellective soul, and (2) even this is the forms only potentially, not actually.
Observation of the sense-organs and their employment reveals a distinction between the impassibility of the sensitive and that of the intellective faculty. After strong stimulation of a sense we are less able to exercise it than before, as e.g. in the case of a loud sound we cannot hear easily immediately after, or in the case of a bright colour or a powerful odour we cannot see or smell, but in the case of mind thought about an object that is highly intelligible renders it more and not less able afterwards to think objects that are less intelligible: the reason is that while the faculty of sensation is dependent upon the body, mind is separable from it.

There are two arguments here, one from the fact that the mind can understand at all, and the other from the effect of thinking about highly intelligible things.

St. Thomas explains the first argument:

The following argument may make this point clear. Anything that is in potency with respect to an object, and able to receive it into itself, is, as such, without that object; thus the pupil of the eye, being potential to colours and able to receive them, is itself colourless. But our intellect is so related to the objects it understands that it is in potency with respect to them, and capable of being affected by them (as sense is related to sensible objects). Therefore it must itself lack all those things which of its nature it understands. Since then it naturally understands all sensible and bodily things, it must be lacking in every bodily nature; just as the sense of sight, being able to know colour, lacks all colour. If sight itself had any particular colour, this colour would prevent it from seeing other colours, just as the tongue of a feverish man, being coated with a bitter moisture, cannot taste anything sweet. In the same way then, if the intellect were restricted to any particular nature, this connatural restriction would prevent it from knowing other natures. Hence he says: ‘What appeared inwardly would prevent and impede’ (its knowledge of) ‘what was without’; i.e. it would get in the way of the intellect, and veil it so to say, and prevent it from inspecting other things. He calls ‘the inwardly appearing’ whatever might be supposed to be intrinsic and co-natural to the intellect and which, so long as it ‘appeared’ therein would necessarily prevent the understanding of anything else; rather as we might say that the bitter moisture was an ‘inwardly appearing’ factor in a fevered tongue.

This is similar to St. Thomas’s suggestion elsewhere that matter and understanding are intrinsically opposed to one another. I cautioned the reader there about taking such an argument as definitive too quickly, and I would do the same here. Consider the argument about sensation: it is true enough that the pupil isn’t colored, and that perception of temperature is relative to the temperature of the organ of touch, or some aspects of it, which suggests that heat in the organ impedes the sensation of heat. On the other hand, the optic nerve and the visual cortex are arguably even more necessary to the sense of sight than the pupil, and they most certainly are not colorless. Taking this into consideration, the facts about the pupil, and the way touch functions, and so on, seem like facts that should be taken into consideration, but do not even come to close to establishing as a fact that the intellect does not have an organ.

Likewise, with the second argument, Aristotle is certainly pointing to a difference between the intellect and the senses, even if this argument might need qualification, since one does tire even of thinking. But saying that the intellect is not merely another sense is one thing, and saying that it does not have an organ at all is another.

We previously considered Sean Collins’s discussion Aristotle and the history of science. Following on one of the passages quoted in the linked post, Collins continues:

I said above that Aristotle thinks somewhat Platonically “despite himself.” He himself is very remarkably aware that matter will make a difference in the account of things, even if the extent of the difference remains as yet unknown. And Aristotle makes, in this connection, a distinction which is well known to the scholastic tradition, but not equally well understood: that, namely, between the “logical” consideration of a question, and the “physical” consideration of it. Why make that distinction? Its basis lies in the discovery that matter is a genuine principle. For, on the one hand, the mind and its act are immaterial; but the things to be known in the physical world are material. It becomes necessary, therefore, for the mind to “go out of itself,” as it were, in the effort to know things. This is precisely what gives rise to what is called the “order of concretion.”

But how much “going out of itself” will be necessary, or precisely how that is to be done, is not something that can be known without experience — the experience, as it turns out, not merely of an individual but of an entire tradition of thought. Here I am speaking of history, and history has, indeed, everything to do with what I am talking about. Aristotle’s disciples are not always as perspicacious as their master was. Some of them suppose that they should follow the master blindly in the supposition that history has no significant bearing on the “disciplines.” That supposition amounts, at least implicitly, to a still deeper assumption: the assumption, namely, that the materiality of human nature, and of the cosmos, is not so significant as to warrant a suspicion that historical time is implicated in the material essence of things. Aristotle did not think of time as essentially historical in the sense I am speaking of here. The discovery that it was essentially historical was not yet attainable.

I would argue that Sean Collins should consider how similar considerations would apply to his remark that “the mind and its act are immaterial.” Perhaps we know in a general way that sensation is more immaterial than growth, but we do not think that sensation therefore does not involve an organ. How confident should one be that the mind does not use an organ based on such general considerations? Just as there is a difference between the “logical” consideration of time and motion and their “physical” consideration, so there might be a similar difference between two kinds of consideration of the mind.

Elsewhere, Collins criticizes a certain kind of criticism of science:

We do encounter the atomists, who argue to a certain complexity in material things. Most of our sophomore year’s natural science is taken up with them. But what do we do with them? The only atomists we read are the early ones, who are only just beginning to discover evidence for atoms. The evidence they possess for atoms is still weak enough so that we often think we can take refuge in general statements about the hypothetical nature of modern science. In other words, without much consideration, we are tempted to write modern science off, so that we can get back to this thing we call philosophy.

Some may find that description a little stark, but at any rate, right here at the start, I want to note parenthetically that such a dismissal would be far less likely if we did not often confuse experimental science with the most common philosophical account of contemporary science. That most common philosophical account is based largely on the very early and incomplete developments of science, along with an offshoot of Humean philosophy which came into vogue mainly through Ernst Mach. But if we look at contemporary science as it really is today, and take care to set aside accidental associations it has with various dubious philosophies, we find a completely wonderful and astonishing growth of understanding of the physical structure not only of material substances, but of the entire cosmos. And so while some of us discuss at the lunch table whether the hypothesis of atoms is viable, physicists and engineers around the world make nanotubes and other lovely little structures, even machines, out of actual atoms of various elements such as carbon.

And likewise during such discussions, neuroscientists discuss which parts of the brain are responsible for abstract thought.

When we discussed the mixing of wine and water, we noted how many difficulties could arise when you consider a process in detail, which you might not notice simply with a general consideration. The same thing will certainly happen in the consideration of how the mind works. For example, how am I choosing these words as I type? I do not have the time to consider a vast list of alternatives for each word, even though there would frequently be several possibilities, and sometimes I do think of more than one. Other times I go back and change a word or two, or more. But most of the words are coming to me as though by magic, without any conscious thought. Where is this coming from?

The selection of these words is almost certainly being done by a part of my brain. A sign of this is that those with transcortical motor aphasia have great difficulty selecting words, but do not have a problem with understanding.

This is only one small element of a vast interconnected process which is involved in understanding, thinking, and speaking. And precisely because there is a very complex process here which is not completely understood, the statement, “well, these elements are organic, but there is also some non-organic element involved,” cannot be proved to be false in a scientific manner, at least at this time. But it also cannot be proved to be true, and if it did turn out to be true, there would have to be concrete relationships between that element and all the other elements. What would be the contribution of the immaterial element? What would happen if it were lacking, or if that question does not make sense, because it cannot be lacking, why can it not be lacking?

 

Science and Certain Theories of Sean Collins

Sean Collins discusses faith and science:

Since at least the time of Descartes, there has come to be a very widespread tendency to see faith as properly the activity of an individual who stands in opposition to a larger, potentially deceptive, world. Faith so conceived is of a piece with individualist notions about the true and the good. At its extreme, the problematic character of faith thus conceived leads some to suppose it can only be an exercise in irrationality. And that is one very common reason why faith, and religion along with it, comes to be  despised.

What needs to be recovered, far away from that extreme, is consciousness of participation as lying at the foundation of all ontology, but in particular at the foundation of what faith is. Faith is knowledge by participation. But what we still tend to have, instead, is an individualist conception even of knowledge itself.

These misconceptions are receding more and more, though, in one very surprising place, namely contemporary science! (It is characteristic of our psychological hypochondria that they recede for us as long as we don’t pay attention to the fact, and thus worry about it.) Everyone uses the expression, “we now know.” “We now know” that our galaxy is but one among many. “We now know” that the blood circulates, and uses hemoglobin to carry oxygen to cells; we now know that there are more than four elements…. One might expect this expression to be disturbing to many people, on account of the contempt for faith I alluded to above; for what the expression refers to is, in fact, a kind of faith within the realm of science. Yet this faith is too manifestly natural for anyone to find it disturbing.  To find it disturbing, one would have to return to the radical neurotic Cartesian individualism, where you sit in a room by yourself and try to deduce all of reality. Most people aren’t devoid of sense enough to do that.

What is especially interesting is that the project of modern science (scientia, knowledge) has itself become obviously too big to continue under the earlier enlightenment paradigm, where we think we must know everything by doing our own experiments and making our own observations. And nobody worries about that fact (at least not as long as “politics,” in the pejorative sense, hasn’t yet entered the picture). Real people understand that there is no reason to worry. They are perfectly content to have faith: that is, to participate in somebody else’s knowledge. An implicit consciousness of a common good in this case makes the individualist conception of faith vanish, and a far truer conception takes its place. This is what real faith — including religious faith — looks like, and it isn’t as different from knowledge or from “reason” as many tend to think.

This is related to our discussion in this previous post, where we pointed out that scientific knowledge has an essential dependence on the work of others, and is not simply a syllogism from first principles that an individual can work out on his own. In this sense, Collins notes, science necessarily involves a kind of faith in the scientific community, past and present, and scientists themselves are not exempt from the need for this faith.

The implication of this is that religious faith should be looked at in much the same way. Religious faith requires faith in a religious community and in revelation from God, and even those in authority in the community are not exempt from the need for this faith. There is no more reason to view this as problematic or irrational than in the case of science.

James Chastek makes a similar argument:

The science of the scientist is, of itself, just as hidden as the God of the priests and consecrated persons. The great majority of persons have no more direct or distinct experience of God than they have a justified insight into scientific claims, and the way in which they could learn the science for themselves if they only had the time and talent is the same way in which they could become preternaturally holy and achieve the unitive way if they only had the time and talent.  If I, lacking the science, trust your testimony about dark matter or global warming (probably after it’s backed up by anecdotes, a gesture at some data, the social pressure to believe, and my sense that you just sound like a smart guy) then I’m in a cognitive state called faith. Taking a pragmatist approach, we come to know the value of science by its fruits in technology just as we know the value of religion though the holiness of the saints. In good logic, Pinker sees the value that many give to holiness as disordered and mistaken,  but there are all sorts of persons who say the same thing about technology.

The similarity between the title of this post and that of the last is not accidental. Dawkins claims that religious beliefs are similar to beliefs in fairies and werewolves, and his claim is empirically false. Likewise Sean Collins and James Chastek claim that religious beliefs are similar to scientific beliefs, and their claim is empirically false.

As in the case of Dawkins, Collins notes from the beginning this empirical discrepancy. Religious faith is seen as “the activity of an individual who stands in opposition to a larger, potentially deceptive, world,” and consequently it appears irrational to many. “And that is one very common reason why faith, and religion along with it, comes to be  despised.” But note that this does not commonly happen with science, even if in principle one could think in the same way about science, as Chastek points to some critics of technology.

While the empirical differences themselves will have their own causes, we can point to one empirical difference in particular that sufficiently explains the different way that people relate to scientific and religious beliefs.

The principle difference is that people speak of “many religions” in the world in a way in which they definitely do not speak of “many sciences.” If we talk of several sciences, we refer to branches of science, and the corresponding speech about religion would be branches of theology. But “many religions” refers to Catholicism, Islam, Judaism, and so on, which contain entirely distinct bodies of theology which are strongly opposed to one another. There is no analog in the case of science. We might be able to find scientific disagreements and even “heresies” like the denial of global warming, but we do not find whole bodies of scientific doctrine about the world which explain the world as a whole and are strongly opposed to one another.

There are many other empirical differences that result from this one difference. People leave their religion and join another, or they give up religion entirely, but you never see people leave their science and join another, or give up science entirely, in the sense of abandoning all scientific beliefs about the world.

This one difference sufficiently explains the suspicion Collins notes regarding religious belief. The size of the discrepancies between religious beliefs implies that many of them are wildly far from reality. And even the religious beliefs that a person might accept are frequently “rather implausible from a relatively neutral point of view,” as Rod Dreher notes. In the case of scientific beliefs, we do find some that are somewhat implausible from a relatively neutral point of view, but we do not find the kind of discrepancy which would force us to say that any of them are wildly far from reality.

A prediction that would follow from my account here would be this: if there were only one religion, in the way that there is only one science, people would not view religion with suspicion, and religious faith would actually be seen as very like scientific faith, basically in the way asserted by Sean Collins.

While we cannot test this prediction directly, consider the following text from St. Augustine:

1. I must express my satisfaction, and congratulations, and admiration, my son Boniface, in that, amid all the cares of wars and arms, you are eagerly anxious to know concerning the things that are of God. From hence it is clear that in you it is actually a part of your military valor to serve in truth the faith which is in Christ. To place, therefore, briefly before your Grace the difference between the errors of the Arians and the Donatists, the Arians say that the Father, the Son, and the Holy Ghost are different in substance; whereas the Donatists do not say this, but acknowledge the unity of substance in the Trinity. And if some even of them have said that the Son was inferior to the Father, yet they have not denied that He is of the same substance; while the greater part of them declare that they hold entirely the same belief regarding the Father and the Son and the Holy Ghost as is held by the Catholic Church. Nor is this the actual question in dispute with them; but they carry on their unhappy strife solely on the question of communion, and in the perversity of their error maintain rebellious hostility against the unity of Christ. But sometimes, as we have heard, some of them, wishing to conciliate the Goths, since they see that they are not without a certain amount of power, profess to entertain the same belief as they. But they are refuted by the authority of their own leaders; for Donatus himself, of whose party they boast themselves to be, is never said to have held this belief.

2. Let not, however, things like these disturb you, my beloved son. For it is foretold to us that there must needs be heresies and stumbling-blocks, that we may be instructed among our enemies; and that so both our faith and our love may be the more approved—our faith, namely, that we should not be deceived by them; and our love, that we should take the utmost pains we can to correct the erring ones themselves; not only watching that they should do no injury to the weak, and that they should be delivered from their wicked error, but also praying for them, that God would open their understanding, and that they might comprehend the Scriptures. For in the sacred books, where the Lord Christ is made manifest, there is also His Church declared; but they, with wondrous blindness, while they would know nothing of Christ Himself save what is revealed in the Scriptures, yet form their notion of His Church from the vanity of human falsehood, instead of learning what it is on the authority of the sacred books.

3. They recognize Christ together with us in that which is written, “They pierced my hands and my feet. They can tell all my bones: they look and stare upon me. They part my garments among them, and cast lots upon my vesture;” and yet they refuse to recognize the Church in that which follows shortly after: “All the ends of the world shall remember, and turn unto the Lord; and all the kindreds of the nations shall worship before You. For the kingdom is the Lord’s; and He is the Governor among the nations.” They recognize Christ together with us in that which is written, “The Lord has said unto me, You are my Son, this day have I begotten You;” and they will not recognize the Church in that which follows: “Ask of me, and I shall give You the heathen for Your inheritance, and the uttermost parts of the earth for Your possession.” They recognize Christ together with us in that which the Lord Himself says in the gospel, “Thus it behooved Christ to suffer, and to rise from the dead the third day;” and they will not recognize the Church in that which follows: “And that repentance and remission of sins should be preached in His name among all nations, beginning at Jerusalem.” Luke 24:46-47 And the testimonies in the sacred books are without number, all of which it has not been necessary for me to crowd together into this book. And in all of them, as the Lord Christ is made manifest, whether in accordance with His Godhead, in which He is equal to the Father, so that, “In the beginning was the Word, and; the Word was with God, and the Word was God;” or according to the humility of the flesh which He took upon Him, whereby “the Word was made flesh and dwelt among us;” so is His Church made manifest, not in Africa alone, as they most impudently venture in the madness of their vanity to assert, but spread abroad throughout the world.

4. For they prefer to the testimonies of Holy Writ their own contentions, because, in the case of Cæcilianus, formerly a bishop of the Church of Carthage, against whom they brought charges which they were and are unable to substantiate, they separated themselves from the Catholic Church—that is, from the unity of all nations. Although, even if the charges had been true which were brought by them against Cæcilianus, and could at length be proved to us, yet, though we might pronounce an anathema upon him even in the grave, we are still bound not for the sake of any man to leave the Church, which rests for its foundation on divine witness, and is not the figment of litigious opinions, seeing that it is better to trust in the Lord than to put confidence in man. For we cannot allow that if Cæcilianus had erred,— a supposition which I make without prejudice to his integrity—Christ should therefore have forfeited His inheritance. It is easy for a man to believe of his fellow-men either what is true or what is false; but it marks abandoned impudence to desire to condemn the communion of the whole world on account of charges alleged against a man, of which you cannot establish the truth in the face of the world.

5. Whether Cæcilianus was ordained by men who had delivered up the sacred books, I do not know. I did not see it, I heard it only from his enemies. It is not declared to me in the law of God, or in the utterances of the prophets, or in the holy poetry of the Psalms, or in the writings of any one of Christ’s apostles, or in the eloquence of Christ Himself. But the evidence of all the several scriptures with one accord proclaims the Church spread abroad throughout the world, with which the faction of Donatus does not hold communion. The law of God declared, “In your seed shall all the nations of the earth be blessed.” Genesis 26:4 The Lord said by the mouth of His prophet, “From the rising of the sun, even unto the going down of the same, a pure sacrifice shall be offered unto my name: for my name shall be great among the heathen.” Malachi 1:11 The Lord said through the Psalmist, “He shall have dominion also from sea to sea, and from the river unto the ends of the earth.” The Lord said by His apostle, “The gospel has come unto you, as it is in all the world, and brings forth fruit.” Colossians 1:6 The Son of God said with His own mouth, “You shall be witnesses unto me, both in Jerusalem, and in all Judea, and in Samaria, and even unto the uttermost part of the earth.” Acts 1:8 Cæcilianus, the bishop of the Church of Carthage, is accused with the contentiousness of men; the Church of Christ, established among all nations, is recommended by the voice of God. Mere piety, truth, and love forbid us to receive against Cæcilianus the testimony of men whom we do not find in the Church, which has the testimony of God; for those who do not follow the testimony of God have forfeited the weight which otherwise would attach to their testimony as men.

Note the source of St. Augustine’s confidence. It is the “unity of the whole world.” It is “abandoned impudence to desire to condemn the communion of the whole world.” The Catholic Church is “established among all nations,” and this is reason to accept it instead of the doctrines of the heretics.

The comparison between religious beliefs and scientific beliefs applies much better to the time of St. Augustine. Even St. Augustine would know that alternate religions exist, but in a similar sense there might have appeared to be potentially many sciences, insofar as science is not at the time a unified body of ideas attempting to explain the world. Thales held that all things are derived from water, while others came out in favor of air or fire.

Nonetheless, even at the time of St. Augustine, there are seeds of the difference. Unknown to St. Augustine, native Americans of the time were certainly practicing entirely different religions. And while I made the comparison between religious heresy and dissent on certain scientific questions above, these in practice have their own differences. Religious heresy of itself contains a seed of schism, and thus the possibility of establishing a new religion. Scientific disagreement even of the kind that might be compared with “heresy,” never leads to the development of a new set of scientific doctrines about the world that can be considered an alternative science.

In contrast, if even religious heresy had not existed, St. Augustine would be entirely right simply to point to the consent of the world. Aristotle frequently points to the agreement of all men as one of the best signs of truth, for example here:

And about all these matters the endeavor must be made to seek to convince by means of rational arguments, using observed facts as evidences and examples. For the best thing would be if all mankind were seen to be in agreement with the views that will be stated, but failing that, at any rate that all should agree in some way. And this they will do if led to change their ground, for everyone has something relative to contribute to the truth, and we must start from this to give a sort of proof about our views; for from statements that are true but not clearly expressed, as we advance, clearness will also be attained, if at every stage we adopt more scientific positions in exchange for the customary confused statements.

And indeed, if there were in this way one religion with which all were in agreement, it is not merely that they would agree in fact, since this is posited, but the agreement of each would have an extremely reasonable foundation. In this situation, it would be quite reasonable to speak of religious faith and scientific faith as roughly equivalent.

In the real world, however, religious beliefs are neither like beliefs in fairies and unicorns, nor like scientific beliefs.

But as Aristotle says, “everyone has something relative to contribute to the truth,” and just as we saw some true elements in Dawkins’s point in the previous post, so there is some truth to the comparisons made by Collins and Chastek. This is in fact part of the reason why Dawkins’s basic point is mistaken. He fails to consider religious belief as a way of participating in a community, and thus does not see a difference from beliefs in werewolves and the like.

Knowing Knowing and Known

In his work On the Soul, Aristotle points out that knowledge of powers depends on the knowledge of activities, and knowledge of activities depends on knowledge of the objects of the activities:

It is necessary for the student of these forms of soul first to find a definition of each, expressive of what it is, and then to investigate its derivative properties, &c. But if we are to express what each is, viz. what the thinking power is, or the perceptive, or the nutritive, we must go farther back and first give an account of thinking or perceiving, for in the order of investigation the question of what an agent does precedes the question, what enables it to do what it does. If this is correct, we must on the same ground go yet another step farther back and have some clear view of the objects of each; thus we must start with these objects, e.g. with food, with what is perceptible, or with what is intelligible.

A little thought will establish that this is entirely necessary. In order to have a general knowledge of the power or the activity, however, it will be sufficient to have a general knowledge of the object. But given that human knowledge proceeds from the general to the specific, it would be reasonable to believe that a detailed knowledge of the power or activity might require a somewhat equally detailed knowledge of the object.

We can see how this would happen by thinking about the example of eating and food. A general idea of both eating and food might be this: eating is taking in other bodies and using them for growth and for energy for other living activities, and food is what can be taken in and used in this way.

Both the idea of eating and the idea of food here are fairly general, and due to their generality they leave open various questions. For example, why is not possible to live off air? Air is a body, and in physics it is in some sense convertible with energy, so it would not seem unreasonable if it could provide the matter and energy that we need in order to grow and to live in other ways.

The general account does not of course assert that this is a possibility, but neither does it deny the possibility. So if someone thinks that the general account tells them all that needs to be known about eating and food, they will not be unlikely to conclude that living off air should be a possibility. If someone drew this conclusion it would be an example of impatience with respect to truth. The example is not very realistic, of course, even if there are a few people who actually draw this conclusion, but this lack of realism is not because of some flaw in the idea of the knowledge of activities depending on the knowledge of objects, but just because most people already accept that air is not a kind of food, even if they do not know why it is not. So they already have a somewhat more detailed knowledge of the object, and therefore also of the activity.

Something similar will result with other powers of the soul, and with powers in general. In the case of knowledge in particular, a general knowledge of knowing will depend on a general knowledge of the known or knowable, and a detailed knowledge of knowing will depend on a detailed knowledge of the known or knowable. And just as in the example above, a general knowledge does not necessarily lead someone into error, but it can leave open questions, and one who is impatient for truth might draw detailed conclusions too soon. In this case, a likely result would be that someone confuses the mode of knowledge and the mode of the known, although this would not be the only way to fall into error.

Sean Collins discusses the history of science and its relationship with philosophy:

In my post of March 6, I noted that we must distinguish between what science has been and what it ought to be, or what it is naturally ordained to be. It is therefore a mistake to take any current or past state of science and construe that as universal without any argument. It is a mistake, for example, to suppose that the Galilean paradigm of physics as “written in mathematical terms” is a universal truth, merely on the ground that physics has been that way for some time, and indeed with some fair degree of success. Or, again, I shall argue, it is a mistake to infer that science consists essentially, and by its permanent universal nature, in reasoning from artificial “paradigms,” even if the recent history of science suggests that.

But from this one might be inclined to draw either of two diametrically opposite inferences. One would be to suppose that history and science have nothing to do with each other, otherwise than accidentally. We should therefore try to find out what science is really supposed to be, and let it be that. But the opposite conclusion seems perhaps equally justifiable: namely that science is essentially historical, so that stages in its progress are precisely stages, and therefore ought not to be confused with the universal character of science itself.

Which is the right conclusion? Should we think that science and history have any real connection? To make the question suitably concrete, we should first recognize that this is really a question about humanity. It is humanity we are wondering about when we ask whether our knowledge has any essential relation with history. It is about the being called “man” himself that we must finally ask whether there is something essentially historical.

But then we can see, perhaps, that this is no small question, and it would scarcely do it justice to propose an answer to it in a few short paragraphs. For now, I will let it suffice to have asked the question. But I would also like to take note of some significant historical facts which suggest a direction in which to seek an answer. And after that I will propose what I think is an absolutely fundamental and critical principle on the way to finding an answer.

The signs I have in mind are these. Some 2500 years ago, Aristotle wrote his Organon, which laid out the delineations of “science.” Aristotle argued that science, in the strictest sense, must be knowledge from universal causes, that these causes must be expressed in self-evident principles, and that the principles must derive from the essences of things as expressed in their definitions. Historically, that view seemed to hold a very firm sway for a very long time, until something strange happened: there was a revolt. Francis Bacon, Galileo, and Descartes were primary agents of the revolt. The revolt was in large measure a backlash against entrenched stagnation, against which irrepressible spirits finally grew indignant. From that moment on, intellectual culture became bifurcated into “science” and “philosophy,” and that bifurcation remains to this day.

Those who remain in the camp of the “philosophers” often stake their claims on the basis of the original claims of Aristotle’s Posterior Analytics. They resist the intrusions of science on the alleged ground that only philosophy proceeds in a truly universal mode, seeking definitions by “genus and difference,” aiming at truly universal causes, and proposing its theses with complete certitude. Those, on the other hand, who decide to be “scientists” stake their claims on the basis of what they take to be reality itself. They notice the truly astonishing degree to which physical reality has a structure, a structure which reaches down deeply into the materiality of things. They see, all too well, that the discovery and appreciation of that structure absolutely demands a mode of thought which is not that of conventional philosophy. And they cannot, moreover, help but notice that conventional philosophers have often tended to either be completely ignorant of that structure, or worse yet, to not care about it, or to deny that it matters, or to deny that it really exists at all.

To describe this by a succinct approximation, we might say that the philosophical mindset tries to reason from characteristics of the mind: from its yearning for what transcends the murkiness of matter. The scientific mindset, by contrast, seeks to reason from the characteristics of physical reality, even possibly at the expense of the aspirations of human reason towards what is immaterial.

While one might agree that it does not “do justice” to the question in the sense of discussing it adequately, we can see from what has been said that one cannot fully separate science from history. If we ask, “what is the nature of science,” we are asking about the nature of human knowing. In order to answer this, we require knowledge of knowing. But since knowing knowing in a detailed way depends on knowing the known in a detailed way, the question of whether history is essentially involved in knowing knowing depends on whether knowing the known in a detailed way is an essentially historical process.

Human beings and especially the life of an individual human being are very small parts of reality. One consequence is that the single lifetime of an individual is not enough to come to a detailed knowledge of the physical world without an essential dependence on the work of others, which dependence implies a historical process. The “astonishing degree to which physical reality has a structure” is something that necessarily takes many human lifetimes to come to know, and is the collective work of the human race, not the work of an individual.

Speaking of Aristotle’s attitude towards matter in science, Collins says:

Aristotle, as I have noted, saw that materiality is a true principle of natural being. Henceforth, it was no longer necessary to shun matter, as the Platonists had, as if it were repugnant to philosophical endeavors. One could reason about the natural, physical world, and one could reason about it as physical.

Yet we are — no doubt inevitably — slow to grasp the implications of materiality. Even about this very historical fact, many of us tend to think in a quasi-Platonic way. And what I am about to assert will no doubt astonish some readers: even Aristotle himself continued to think in a somewhat Platonic way, despite his recognition of the principle of materiality. But anyone who is acquainted with the history of thought shouldn’t be entirely surprised at my assertion. It is common — ordinary, in fact — for great thinkers, who find themselves at the dawn of a new and fuller vision of the order of things, to have one foot remaining in the older vision, not entirely able to see the implications of their own new intuitions. If one assumes that thought ought to evolve, as opposed to merely changing in revolutionary fits, one should find this even perhaps a little reassuring.

So what do I mean when I say that Aristotle thinks in a semi-Platonic way? Briefly, I mean that, even despite himself in a way, he continues to seek the accounts, the logoi, of things in a way that would place them more in the order of the purely intellectual than the physical. For example, he seeks to understand what time is in a way that makes virtually no appeal to such physical evidence as we have nowadays through physical experimentation. (Of course! How could he make appeal to something that didn’t exist yet?) He supposes, rather inevitably, that simply thinking about time and motion from the relatively deficient point of view of something called  “common experience” will give him something like a sufficient account of what he is trying to understand. And in the end, his vision of an eternal first motion as the source of time, a motion perfectly circular and unchanging, deriving from the causality of a First Mover who could not directly be the source of any contingent effects — this is a vision which now, from the point of view of contemporary science as well as Christian theology, rightly strikes us as not yet a mature vision in its understanding of the role of matter in the order of the cosmos.

This, to be sure, is not a criticism of Aristotle, as if to suggest that he should have thought something else; rather, it is merely an observation of how human thought inevitably takes time to  develop. Nor do I mean to suggest that what Aristotle saw was of negligible account. It belongs precisely to what I am calling the order of concretion to begin with the relatively abstract in our understanding of material things, and this is because matter is ordered to form more than vice versa. This can be illustrated in the design of artifacts, for in them also there is always a material and a formal element. Thus, for example, barring special circumstances, one does not ordinarily design a building by first looking at what materials to use; rather one considers what form and function they are to serve, and then one chooses materials accordingly. Though there are circumstantial exceptions to this principle, it remains a principle; and it is clear enough that a systematic disregard of it would make our thought chaotic.

Thus one can see that there is a philosophical justification for doing what Aristotle did. We might describe this justification in another way as well: it derives from the fact that the human mind must bear some proportion to the reality it is to know. For having understood something of the difference between the order of intellect and the order of physical being, we still suppose, rightly, that there must be a proportion between them. Yet this rather abstract statement leaves much in doubt. How is the human mind to fulfill its destiny to know physical reality? I shall trust my readers to be able to understand that the answer to that question could not look the same in the 4th century BC as it looks now….

It is possible that Collins is too generous to Aristotle here, perhaps for the sake of his readers and for the sake of his own intellectual tradition, in the sense that to some extent, it seems likely that some of Aristotle’s conclusions are “impatient” in the way we have discussed earlier. Nonetheless his basic assertion is correct. Knowing the nature of knowledge in detail requires more knowledge of the knowable thing than Aristotle could have had at the time. As Collins says, this is “merely an observation of how human thought inevitably takes time to develop.” And even if there is some intellectual impatience there, there is perhaps no more such impatience than is generally found in those who seek to understand reality.