Replies to Objections on Form

This post replies to the objections raised in the last post.

Reply 1. I do not define form as “many relations”, in part for this very reason. Rather, I say that it is a network, and thus is one thing tied together, so to speak.

Nonetheless, the objection seems to wish to find something absolutely one which is in no way many and which causes unity in other things which are in some way lacking in unity. This does not fit with the idea of giving an account, which necessarily involves many words and thus reference to many aspects of a thing. And thus it also does not fit with the idea of form as that which makes a thing what it is, because it is evident that when we ask what a thing is, we are typically asking about things that have many aspects, as a human being has many senses and many body parts and so on.

In other words, form makes a thing one, but it also makes it what it is, which means that it also makes a thing many in various ways. And so form is one in some way, and thus called a “network,” but it also contains various relations that account for the many aspects of the thing.

Someone might extend this objection by saying that if a form contains many relations, there will need to be a form of form, uniting these relations. But there is a difference between many material parts, which might need a form in order to be one, and relations, which bind things together of themselves. To be related to something, in this sense, is somewhat like being attached to it in some way, while a number of physical bodies are not attached to each other simply in virtue of being a number of bodies. It is true that this implies a certain amount of complexity in form, but this is simply the result of the fact that there is a certain amount of complexity in what things actually are.

Reply 2. “Apt to make something one” is included in the definition in order to point to the relationships and networks of relationships that we are concerned with. For example, one could discuss the idea of a mereological sum, for example the tree outside my window together with my cell phone, and talk about a certain network of relationships intrinsic to that “sum.” This network would have little share in the idea of form, precisely because it is not apt to make anything one thing in any ordinary sense. However, I say “little share” here rather than “no share”, because this is probably a question of degree and kind. As I said here, “one thing” is said in many ways and with many degrees, and thus also form exists in many ways and with many degrees. In particular, there is no reason to suppose that “one” has one true sense compared to which the other senses would be more false than true.

Reply 3. A network of relationships could be an accidental form. Thus the form that makes a blue thing blue would normally be an accidental form. But there will be a similar network of relationships that make a thing a substance. If something is related to other things as “that in which other things are present,” and is not related to other things as “that which is present in something else,” then it will exist as substance, and precisely because it is related to things in these ways. So the definition is in fact general in comparison to both substance and accident.

Reply 4. This objection could be understood as asserting that everything relative depends on something prior which is absolute. Taken in this sense, the objection is simply mistaken. The existence of more than one thing proves conclusively that relationship as such does not need to depend on anything absolute.

Another way to understand the objection would be as asserting that whatever we may say about the thing in relation to other things, all of this must result from what the thing is in itself, apart from all of this. Therefore the essence of the thing is prior to anything at all that we say about it. And in this way, there is a truth here and an error here, namely the Kantian truth and the Kantian error. Certainly the thing is the cause of our knowledge, and not simply identical with our knowledge. Nonetheless, we possess knowledge, not ignorance, of the thing, and we have this knowledge by participation in the network of relationships that defines the thing.

Reply 5. The objection gratuitously asserts that our definition is reductionist, and this can equally well be gratuitously denied. In fact, this account includes the rejection of both reductionist and anti-reductionist positions. Insofar as people suppose that these positions are the only possible positions, if they see that my account implies the rejection of their particular side of the argument, they will naturally suppose that my account implies the acceptance of the other side. This is why the 10th objection claims the opposite: namely that my account is mistaken because it seems to be anti-reductionist.

Reply 6. I agree, in fact, that we are mostly ignorant of the nature of “blue,” and likewise of the natures of most other things. But we are equally ignorant of the network of relationships that these things share in. Thus in an earlier post about Mary’s Room, I noted that we do not even come close to knowing everything that can be known about color. Something similar would be true about pretty much everything that we can commonly name. We have some knowledge of what blue is, but it is a very imperfect knowledge, and similarly we have some knowledge of what a human being is, but it is a very imperfect knowledge. This is one reason why I qualified the claim that the essences of things are not hidden: in another way, virtually all essences are hidden from us, because they are typically too complex for us to understand exhaustively.

An additional problem, also mentioned in the case of “blue,” is that the experience of blue is not the understanding of blue, and these would remain distinct even if the understanding of blue were perfect. But again, it would be an instance of the Kantian error to suppose that it follows that one would not understand the nature of blue even if one understood it (thus we make the absurdity evident.)

Reply 7. God is not an exception to the claim about hidden essences, nor to this account of form, and these claims are not necessarily inconsistent with Christian theology.

The simplicity of God should not be understood as necessarily being opposed to being a network of relationships. In particular, the Trinity is thought to be the same as the essence of God, and what is the Trinity except a network of relations?

Nor does the impossibility of knowing the essence of God imply that God’s essence is hidden in the relevant sense. Rather, it is enough to say that it is inaccessible for “practical” reasons, so to speak. For example, consider St. Thomas’s argument that no one knows all that God can do:

The created intellect, in seeing the divine essence, does not see in it all that God does or can do. For it is manifest that things are seen in God as they are in Him. But all other things are in God as effects are in the power of their cause. Therefore all things are seen in God as an effect is seen in its cause. Now it is clear that the more perfectly a cause is seen, the more of its effects can be seen in it. For whoever has a lofty understanding, as soon as one demonstrative principle is put before him can gather the knowledge of many conclusions; but this is beyond one of a weaker intellect, for he needs things to be explained to him separately. And so an intellect can know all the effects of a cause and the reasons for those effects in the cause itself, if it comprehends the cause wholly. Now no created intellect can comprehend God wholly, as shown above (Article 7). Therefore no created intellect in seeing God can know all that God does or can do, for this would be to comprehend His power; but of what God does or can do any intellect can know the more, the more perfectly it sees God.

St. Thomas argues that if anyone knew all that God can do, i.e. everything that can be God’s effect, he would not only know the essence of God, but know it perfectly. This actually supports our position precisely: if you have an exhaustive account of the network of relationships between God and the world, actual and potential, according to St. Thomas, this is to know the essence of God exhaustively.

Reply 8. I concede the objection, but simply note that the error is on the part of Christian theology, not on the part of this account.

In this case, someone might ask why I included this objection, along with the previous, where even if I consider the theology defensible, I do not consider it authoritative. The reason is that I included objections that I expected various readers to hold in one form or another, and these are two of them. But what is the use of addressing them if I simply reject the premise of the objection?

There is at least one benefit to this. There is an important lesson here. Religious doctrines are typically defined in such a way that they have few or no undue sensible implications, as I said for example about the Real Presence. But philosophy is more difficult, and shares in much of the same distance from the senses that such religious claims have. Consequently, even if you manage to avoid adopting religious doctrines that have false scientific implications (and many don’t manage to avoid even this), if you accept any religious doctrines at all, it will be much harder to avoid false philosophical implications.

In fact, the idea of an immortal soul probably has false scientific consequences as well as false philosophical consequences, at least taken as it is usually understood. Thus for example Sean Carroll argues that the mortality of the soul is a settled issue:

Adam claims that “simply is no controlled, experimental[ly] verifiable information” regarding life after death. By these standards, there is no controlled, experimentally verifiable information regarding whether the Moon is made of green cheese. Sure, we can take spectra of light reflecting from the Moon, and even send astronauts up there and bring samples back for analysis. But that’s only scratching the surface, as it were. What if the Moon is almost all green cheese, but is covered with a layer of dust a few meters thick? Can you really say that you know this isn’t true? Until you have actually examined every single cubic centimeter of the Moon’s interior, you don’t really have experimentally verifiable information, do you? So maybe agnosticism on the green-cheese issue is warranted. (Come up with all the information we actually do have about the Moon; I promise you I can fit it into the green-cheese hypothesis.)

Obviously this is completely crazy. Our conviction that green cheese makes up a negligible fraction of the Moon’s interior comes not from direct observation, but from the gross incompatibility of that idea with other things we think we know. Given what we do understand about rocks and planets and dairy products and the Solar System, it’s absurd to imagine that the Moon is made of green cheese. We know better.

We also know better for life after death, although people are much more reluctant to admit it. Admittedly, “direct” evidence one way or the other is hard to come by — all we have are a few legends and sketchy claims from unreliable witnesses with near-death experiences, plus a bucketload of wishful thinking. But surely it’s okay to take account of indirect evidence — namely, compatibility of the idea that some form of our individual soul survives death with other things we know about how the world works.

Claims that some form of consciousness persists after our bodies die and decay into their constituent atoms face one huge, insuperable obstacle: the laws of physics underlying everyday life are completely understood, and there’s no way within those laws to allow for the information stored in our brains to persist after we die. If you claim that some form of soul persists beyond death, what particles is that soul made of? What forces are holding it together? How does it interact with ordinary matter?

Everything we know about quantum field theory (QFT) says that there aren’t any sensible answers to these questions. Of course, everything we know about quantum field theory could be wrong. Also, the Moon could be made of green cheese.

Among advocates for life after death, nobody even tries to sit down and do the hard work of explaining how the basic physics of atoms and electrons would have to be altered in order for this to be true. If we tried, the fundamental absurdity of the task would quickly become evident.

Even if you don’t believe that human beings are “simply” collections of atoms evolving and interacting according to rules laid down in the Standard Model of particle physics, most people would grudgingly admit that atoms are part of who we are. If it’s really nothing but atoms and the known forces, there is clearly no way for the soul to survive death. Believing in life after death, to put it mildly, requires physics beyond the Standard Model. Most importantly, we need some way for that “new physics” to interact with the atoms that we do have.

Very roughly speaking, when most people think about an immaterial soul that persists after death, they have in mind some sort of blob of spirit energy that takes up residence near our brain, and drives around our body like a soccer mom driving an SUV. The questions are these: what form does that spirit energy take, and how does it interact with our ordinary atoms? Not only is new physics required, but dramatically new physics. Within QFT, there can’t be a new collection of “spirit particles” and “spirit forces” that interact with our regular atoms, because we would have detected them in existing experiments. Ockham’s razor is not on your side here, since you have to posit a completely new realm of reality obeying very different rules than the ones we know.

There are certainly different ways to think about this, but this is in fact a common way of thinking about the soul in relation to the body. For example, consider this discussion by James Chastek:

Objection: Conservation laws require that outcomes be already determined. By your own admission, life has to be able to “alter what would happen by physical causes alone” and therefore violates conservation laws.

Response: Again, laws and initial conditions do not suffice to explain the actual world. Life only “alters” physical causes under the counterfactual supposition that physical causes could act alone, i.e. in a way that could suffice to explain outcomes in the actual world.

Objection: It is meaningless to describe life acting on physical laws and conditions when we can’t detect this. Life-actions are vacuous entities about which we can say nothing at all. What’s their Hamiltonian?

Response: Physical laws and conditions as physical are instrumental or partial accounts of the actual world. The interactive mechanisms and measurement devices appropriate to establishing the existence of physical causes are not appropriate tools for describing all causes of the actual world.

Chastek is deliberately ignoring the question that he poses himself. But we know his opinion of the matter from previous discussions. What physics would calculate would be one thing; what the human being will do, according to Chastek, is something different.

This almost certainly does imply a violation of the laws of physics in the sense of the discussion in Chastek’s post, as well as in the sense that concerns Sean Carroll. In fact, it probably would imply a violation of conservation of energy, very possibly to such a degree that it would be possible in principle to exploit the violation to create a perpetual motion machine, somewhat along the lines of this short story by Scott Alexander. And these violations would detectable in principle, and very likely in practice as well, at least at some point.

Nonetheless, one might think about it differently, without suggesting these things, but still suppose that people have immortal souls. And one might be forgiven for being skeptical of Sean Carroll’s arguments, given that his metaphysics is wrong. Perhaps there is some implicit dependence of his argument on this mistaken metaphysics. The problem with this response is that even the correct metaphysics has the same implications, even without considering Carroll’s arguments from physics.

It is easy to see that there still loopholes for someone who wishes to maintain the immortality of the soul. But such loopholes also indicate an additional problem with the idea. In particular, the idea that the soul is subsistent implies that it is a substantial part of a human being: that a human is a whole made of soul and body much as the body is a whole made of various parts such as legs and arms. If this were the case, the soul might not be material in a quantitative sense, but it would be “matter” in the sense that we have argued that form is not matter. In this case, it would be reasonable to suppose that an additional substantial form would be necessary to unify soul and body, themselves two substantial parts.

Reply 9. There in fact is an implicit reference to matter in the definition. “Apt to make something one” refers to what is made, but it also refers to what it is made out of, if there is anything out of which it is made. The form of a chair makes the chair one chair, but it also makes the stuff of the chair into one chair.

There is more to say about matter, but my intention for now was to clarify the concept of form.

Reply 10. The network of relationships is most certainly not a construct of the mind, if one places this in opposition to “real thing.” You cannot trace back relationships to causes that do not include any relationships, if only because “cause” is in itself relative.

I have argued against reductionism in many places, and do not need to repeat those arguments here, but in particular I would note that the objection implies that “mind” is a construct of the mind, and this implies circular causality, which is impossible.

Reply 11. The objection is not really argued, and this is mainly because there cannot be a real argument for it. There is however a rough intuition supporting it, which is that applying this idea of form to immaterial things seems unfair to reality, as though we were trying to say that the limits of reality are set by the limits of the human mind. Once again, however, this is simply a case of the usual Kantian error, mixed together with choosing something that would be especially unknown to us. An immaterial thing could not exist without having some relationship with everything else. As we have suggested elsewhere, “there is an immaterial thing,” cannot even be assigned a meaning without the implied claim that I stand in some relation with it, and that it stands in some relation to me. But evidently I know very little about it. This does not mean that we need some new definition of what it is to be something; it simply means I do not know much of what that thing is, just as I do not know much of anything about it at all.

 

Being and Unity II

Content warning: very obscure.

This post follows up on an earlier post on this topic, as well on what was recently said about real distinction. In the latter post, we applied the distinction between the way a thing is and the way it is known in order to better understand distinction itself. We can obtain a better understanding of unity in a similar way.

As was said in the earlier post on unity, to say that something is “one” does not add anything real to the being of the thing, but it adds the denial of the division between distinct things. The single apple is not “an apple and an orange,” which are divided insofar as they are distinct from one another.

But being distinct from divided things is itself a certain way of being distinct, and consequently all that was said about distinction in general will apply to this way of being distinct as well. In particular, since being distinct means not being something, which is a way that things are understood rather than a way that they are (considered precisely as a way of being), the same thing applies to unity. To say that something is one does not add something to the way that it is, but it adds something to the way that it is understood. This way of being understood is founded, we argued, on existing relationships.

We should avoid two errors here, both of which would be expressions of the Kantian error:

First, the argument here does not mean that a thing is not truly one thing, just as the earlier discussion does not imply that it is false that a chair is not a desk. On the contrary, a chair is in fact not a desk, and a chair is in fact one chair. But when we say or think, “a chair is not a desk,” or “a chair is one chair,” we are saying these things in some way of saying, and thinking them in some way of thinking, and these ways of saying and thinking are not ways of being as such. This in no way implies that the statements themselves are false, just as “the apple seems to be red,” does not imply that the apple is not red. Arguing that the fact of a specific way of understanding implies that the thing is falsely understood would be the position described by Ayn Rand as asserting, “man is blind, because he has eyes—deaf, because he has ears—deluded, because he has a mind—and the things he perceives do not exist, because he perceives them.”

Second, the argument does not imply that the way things really are is unknown and inaccessible to us. One might suppose that this follows, since distinction cannot exist apart from someone’s way of understanding, and at the same time no one can understand without making distinctions. Consequently, someone might argue, there must be some “way things really are in themselves,” which does not include distinction or unity, but which cannot be understood. But this is just a different way of falling into the first error above. There is indeed a way things are, and it is generally not inaccessible to us. In fact, as I pointed out earlier, it would be a contradiction to assert the existence of anything entirely unknowable to us.

Our discussion, being in human language and human thought, naturally uses the proper modes of language and thought. And just as in Mary’s room, where her former knowledge of color is a way of knowing and not a way of sensing, so our discussion advances by ways of discussion, not by ways of being as such. This does not prevent the way things are from being an object of discussion, just as color can be an object of knowledge.

Having avoided these errors, someone might say that nothing of consequence follows from this account. But this would be a mistake. It follows from the present account that when we ask questions like, “How many things are here?”, we are not asking a question purely about how things are, but to some extent about how we should understand them. And even when there is a single way that things are, there is usually not only one way to understand them correctly, but many ways.

Consider some particular question of this kind: “How many things are in this room?” People might answer this question in various ways. John Nerst, in a previous discussion on this blog, seemed to suggest that the answer should be found by counting fundamental particles. Alexander Pruss would give a more complicated answer, since he suggests that large objects like humans and animals should be counted as wholes (while also wishing to deny the existence of parts, which would actually eliminate the notion of a whole), while in other cases he might agree to counting particles. Thus a human being and an armchair might be counted, more or less, as 1 + 10^28 things, namely counting the human being as one thing and the chair as a number of particles.

But if we understand that the question is not, and cannot be, purely about how things are, but is also a question about how things should be understood, then both of the above responses seem unreasonable: they are both relatively bad ways of understanding the things in the room, even if they both have some truth as well. And on the other hand, it is easy to see that “it depends on how you count,” is part of the answer. There is not one true answer to the question, but many true answers that touch on different aspects of the reality in the room.

From the discussion with John Nerst, consider this comment:

My central contention is that the rules that define the universe runs by themselves, and must therefore be self-contained, i.e not need any interpretation or operationalization from outside the system. As I think I said in one of the parts of “Erisology of Self and Will” that the universe must be an automaton, or controlled by an automaton, etc. Formal rules at the bottom.

This is isn’t convincing to you I guess but I suppose I rule out fundamental vagueness because vagueness implies complexity and fundamental complexity is a contradiction in terms. If you keep zooming in on a fuzzy picture you must, at some point, come down to sharply delineated pixels.

Among other things, the argument of the present post shows why this cannot be right. “Sharply delineated pixels” includes the distinction of one pixel from another, and therefore includes something which is a way of understanding as such, not a way of being as such. In other words, while intending to find what is really there, apart from any interpretation, Nerst is directly including a human interpretation in his account. And in fact it is perfectly obvious that anything else is impossible, since any account of reality given by us will be a human account and will thus include a human way of understanding. Things are a certain way: but that way cannot be said or thought except by using ways of speaking or thinking.

Real Distinction II

I noted recently that one reason why people might be uncomfortable with distinguishing between the way things seem, as such, namely as a way of seeming, and the way things are, as such, namely as a way of being, is that it seems to introduce an explanatory gap. In the last post, why did Mary have a “bluish” experience? “Because the banana was blue,” is true, but insufficient, since animals with different sense organs might well have a different experience when they see blue things. And this gap seems very hard to overcome, possibly even insurmountable.

However, the discussion in the last post suggests that the difficulty in overcoming this gap is mainly the result of the fact that no one actually knows the full explanation, and that the full explanation would be extremely complicated. It might even be so complicated that no human being could understand it, not necessarily because it is a kind of explanation that people cannot understand, but in a sense similar to the one in which no human being can memorize the first trillion prime numbers.

Even if this is the case, however, there would be a residual “gap” in the sense that a sensitive experience will never be the same experience as an intellectual one, even when the intellect is trying to explain the sensitive experience itself.

We can apply these ideas to think a bit more carefully about the idea of real distinction. I pointed out in the linked post that in a certain sense no distinction is real, because “not being something” is not a thing, but a way we understand something.

But notice that there now seems to be an explanatory gap, much like the one about blue. If “not being something” is not a thing, then why is it a reasonable way to understand anything? Or as Parmenides might put it, how could one thing possibly not be another, if there is no not?

Now color is complicated in part because it is related to animal brains, which are themselves complicated. But “being in general” should not be complicated, because the whole idea is that we are talking about everything in general, not with the kind of detail that is needed to make things complicated. So there is a lot more hope of overcoming the “gap” in the case of being and distinction, than in the case of color and the appearance of color.

A potential explanation might be found in what I called the “existential theory of relativity.” As I said in that post, the existence of many things necessarily implies the existence of relationships. But this implication is a “before in understanding“. That is, we understand that one thing is not another before we consider the relationship of the two. If we consider what is before in causality, we will get a different result. On one hand, we might want to deny that there can be causality either way, because the two are simultaneous by nature: if there are many things, they are related, and if things are related, they are many. On the other hand, if we consider “not being something” as a way things are understood, and ask the cause of them being understood in this way, relation will turn out to be the cause. In other words, we have a direct response to the question posed above: why is it reasonable to think that one thing is not another, if not being is not a thing? The answer is that relation is a thing, and the existence of relation makes it reasonable to think of things as distinct from one another.

Someone will insist that this account is absurd, since things need to be distinct in order to be related. But this objection confuses the mode of being and the mode of understanding. Just as there will be a residual “gap” in the case of color, because a sense experience is not an intellectual experience, there is a residual gap here. Explaining color will not suddenly result in actually seeing color if you are blind. Likewise, explaining why we need the idea of distinction will not suddenly result in being able to understand the world without the idea of distinction. But the existence of the sense experience does not thereby falsify one’s explanation of color, and likewise here, the fact that we first need to understand things as distinct in order to understand them as related, does not prevent their relationship from being the specific reality that makes it reasonable to understand them as distinct.

Mary’s Surprising Response

In Consciousness Explained, Daniel Dennett proposes the following continuation to the story of Mary’s room:

And so, one day, Mary’s captors decided it was time for her to see colors. As a trick, they prepared a bright blue banana to present as her first color experience ever. Mary took one look at it and said “Hey! You tried to trick me! Bananas are yellow, but this one is blue!” Her captors were dumfounded. How did she do it? “Simple,” she replied. “You have to remember that I know everything—absolutely everything—that could ever be known about the physical causes and effects of color vision. So of course before you brought the banana in, I had already written down, in exquisite detail, exactly what physical impression a yellow object or a blue object (or a green object, etc.) would make on my nervous system. So I already knew exactly what thoughts I would have (because, after all, the “mere disposition” to think about this or that is not one of your famous qualia, is it?). I was not in the slightest surprised by my experience of blue (what surprised me was that you would try such a second-rate trick on me). I realize it is hard for you to imagine that I could know so much about my reactive dispositions that the way blue affected me came as no surprise. Of course it’s hard for you to imagine. It’s hard for anyone to imagine the consequences of someone knowing absolutely everything physical about anything!”

I don’t intend to fully analyze this scenario here, and for that reason I left it to the reader in the previous post. However, I will make two remarks, one on what is right (or possibly right) about this continuation, and one on what might be wrong about this continuation.

The basically right or possibly right element is that if we assume that Mary knows all there is to know about color, including in its subjective aspect, it is reasonable to believe (even if not demonstrable) that she will be able to recognize the colors the first time she sees them. To gesture vaguely in this direction, we might consider that the color red can be somewhat agitating, while green and blue can be somewhat calming. These are not metaphorical associations, but actual emotional effects that they can have. Thus, if someone can recognize how their experience is affecting their emotions, it would be possible for them to say, “this seems more like the effect I would expect of green or blue, rather than red.” Obviously, this is not proving anything. But then, we do not in fact know what it is like to know everything there is to know about anything. As Dennett continues:

Surely I’ve cheated, you think. I must be hiding some impossibility behind the veil of Mary’s remarks. Can you prove it? My point is not that my way of telling the rest of the story proves that Mary doesn’t learn anything, but that the usual way of imagining the story doesn’t prove that she does. It doesn’t prove anything; it simply pumps the intuition that she does (“it seems just obvious”) by lulling you into imagining something other than what the premises require.

It is of course true that in any realistic, readily imaginable version of the story, Mary would come to learn something, but in any realistic, readily imaginable version she might know a lot, but she would not know everything physical. Simply imagining that Mary knows a lot, and leaving it at that, is not a good way to figure out the implications of her having “all the physical information”—any more than imagining she is filthy rich would be a good way to figure out the implications of the hypothesis that she owned everything.

By saying that the usual way of imagining the story “simply pumps the intuition,” Dennett is neglecting to point out what is true about the usual way of imagining the situation, and in that way he makes his own account seem less convincing. If Mary knows in advance all there is to know about color, then of course if she is asked afterwards, “do you know anything new about color?”, she will say no. But if we simply ask, “Is there anything new here?”, she will say, “Yes, I had a new experience which I never had before. But intellectually I already knew all there was to know about that experience, so I have nothing new to say about it. Still, the experience as such was new.” We are making the same point here as in the last post. Knowing a sensible experience intellectually is not to know in the mode of sense knowledge, but in the mode of intellectual knowledge. So if one then engages in sense knowledge, there will be a new mode of knowing, but not a new thing known. Dennett’s account would be clearer and more convincing if he simply agreed that Mary will indeed acknowledge something new; just not new knowledge.

In relation to what I said might be wrong about the continuation, we might ask what Dennett intended to do in using the word “physical” repeatedly throughout this account, including in phrases like “know everything physical” and “all the physical information.” In my explanation of the continuation, I simply assume that Mary understands all that can be understood about color. Dennett seems to want some sort of limitation to the “physical information” that can be understood about color. But either this is a real limitation, excluding some sorts of claims about color, or it is no limitation at all. If it is not a limitation, then we can simply say that Mary understands everything there is to know about color. If it is a real limitation, then the continuation will almost certainly fail.

I suspect that the real issue here, for Dennett, is the suggestion of some sort of reductionism. But reductionism to what? If Mary is allowed to believe things like, “Most yellows typically look brighter than most blue things,” then the limit is irrelevant, and Mary is allowed to know anything that people usually know about colors. But if the meaning is that Mary knows this only in a mathematical sense, that is, that she can have beliefs about certain mathematical properties of light and surfaces, rather than beliefs that are explicitly about blue and yellow things, then it will be a real limitation, and this limitation would cause his continuation to fail. We have basically the same issue here that I discussed in relation to Robin Hanson on consciousness earlier. If all of Mary’s statements are mathematical statements, then of course she will not know everything that people know about color. “Blue is not yellow” is not a mathematical statement, and it is something that we know about color. So we already know from the beginning that not all the knowledge that can be had about color is mathematical. Dennett might want to insist that it is “physical,” and surely blue and yellow are properties of physical things. If that is all he intends to say, namely that the properties she knows are properties of physical things, there is no problem here, but it does look like he intends to push further, to the point of possibly asserting something that would be evidently false.

Sense and Intellect

In the last two posts, I distinguished between the way a thing is, and the way a thing is known. We can formulate analogous distinctions between different ways of knowing. For example, there will be a distinction between “the way a thing is known by the senses,” and “the way a thing is known by the mind.” Or to give a more particular case, “the way this looks to the eyes,” is necessarily distinct from “the way this is understood.”

Similar consequences will follow. I pointed out in the last post that “it is the way it seems” will be necessarily false if it intends to identify the ways of being and seeming as such. In a similar way, “I understand exactly the way this thing looks to me,” will be necessarily false, if one intends to identify the way one understands with the way one sees with the eyes. Likewise, we saw previously that it does not follow that there is something (“the way it is”) that cannot be known, and in a similar way, it does not follow that there is something (“the way it looks”) that cannot be understood. But when one understands the way it is, one understands with one’s way of understanding, not with the thing’s way of being. And likewise, when one understands the way a thing looks, one understands with one’s way of understanding, not with the way it looks.

Failure to understand these distinctions or at least to apply them in practice is responsible for the confusion surrounding many philosophical problems. As a useful exercise, the reader might wish to consider how they apply to the thought experiment of Mary’s Room.