Wittgenstein and Qualia
Transcription
Wittgenstein and Qualia
Draft of November 6, 2006 Wittgenstein and Qualia Ned Block NYU Abstract (Wittgenstein, 1968) endorsed one kind of inverted spectrum hypothesis and rejected another. This paper argues that the kind of inverted spectrum hypothesis that Wittgenstein endorsed (the “innocuous” inverted spectrum hypothesis) is the thin end of the wedge that precludes a Wittgensteinian critique of the kind of inverted spectrum hypothesis he rejected (the “dangerous” kind). The task of this paper is to explicate the difference between the innocuous and dangerous scenarios, to give arguments in favor of the coherence of the dangerous scenario, and to show that the standard arguments to the effect that the dangerous scenario is impossible are no good. I will also agree with what I take to be the Wittgensteinian position, that the kind of inverted spectrum hypothesis Wittgenstein rejected lets qualia in the door, where qualia are (for the purposes of this paper) qualities of experiential states whose phenomenal character cannot be expressed in a certain way (to be described) in natural language.1 Further, I will argue, if there are qualia in this sense, Wittgenstein’s perspective on the mind is wrongheaded. In other words, I will be saying that there is a recognizably Wittgensteinian position that is incoherent, undermining Wittgenstein’s deepest views about the mind. Two Inverted Spectrum Hypotheses “Wittgenstein’s Notes for Lectures on “Private Experience” and “Sense Data”” (Wittgenstein, 1968) were written in English, apparently between 1934 and 1936 (Rhees, 1968). Wittgenstein is notoriously difficult to interpret, even to the extent that scholars cannot agree whether claims that are clearly formulated in his writings are being asserted or denied. I will put forward an interpretation of Wittgenstein’s view of the inverted spectrum hypothesis and of the nature of sensory experience, not as a proposal that meets the standards of Wittgenstein scholarship, but rather as a suggestion in a recognizably Wittgensteinian framework that is worthy of discussion (and refutation) on its own merits. When I attribute a view to Wittgenstein, you may wish to understand that as “Wittgenstein-according-to-one-non-expert”.2 The seeming endorsement of the 1 Alex Byrne (Byrne, 2006) usefully discusses a variety of uses of the term ‘qualia’, and Tim Crane (Crane, 2000) has an useful discussion of the term’s history. According to Crane, C.S. Peirce used ‘qualia’ in something like its modern sense, but Byrne holds that C.I. Lewis introduced the term into contemporary philosophy. 2 An ancestor of this paper was written for a conference on the work of Paul Horwich in Pec May 15-16, 2006. Horwich kindly gave me a chapter on the inverted spectrum from a draft of a book on Wittgenstein to respond to. In this draft, Horwich also accepts one kind of inverted spectrum and rejects another. Wittgenstein and Qualia possibility or at least coherence of one kind of spectrum inversion (the kind I am calling “innocuous”) begins in this passage (p. 284): “Consider this case: someone says ‘I can't understand it, I see everything red blue today and vice versa.’ We answer ‘it must look queer!’ He says it does and, e.g., goes on to say how cold the glowing coal looks and how warm the clear (blue) sky. I think we should under these or similar circumstances be inclined to say that he saw red what we saw blue. And again we should say that we know that he means by the words ‘blue’ and ‘red’ what we do as he has always used them as we do.” In his introductory notes Rush Rhees (Rhees, 1968, p. 274) notes “All that is printed here is a collection of rough notes or memoranda which Wittgenstein made for his own use. He would never have published them—he would not even have had them typed—without revising and rearranging them. Certainly he would have revised the language.” I will be arguing that the kind of inverted spectrum hypothesis that Wittgenstein endorses (as possible or at least coherent) in this passage commits him to something he would not agree with, so a defender of Wittgenstein might respond that after proper consideration, Wittgenstein would not have endorsed it. However, I think what Wittgenstein describes here is obviously coherent. Further, subsequent technological developments have shown it is possible, even technically feasible now. Colors are easily reversed in digital television. I myself have appeared, inverted in color, in an interview on a German television station. And it is feasible right now for virtual reality goggles to make use of such technology in producing that inversion experience in a subject. I think most vision scientists would agree that the same could in principle be accomplished by circuits embedded between the eye and the brain, although no one knows how to do this now. (I will describe this science fiction scenario as having “wires crossed” in the visual system.) Later in these notes (316), Wittgenstein confirms the endorsement and introduces the version of the inverted spectrum hypothesis that he rejects (what I will call the “dangerous” type): We said that there were cases in which we should say that the person sees green what I see red. Now the question suggests itself: if this can be so at all, why should it not be always the case? It seems, if once we have admitted that it can happen under peculiar circumstances, that it may always happen. But then it is clear that the very idea of seeing red loses its use if we can never know if the other does not see something utterly different. So what are we to do: Are we to say that this can only happen in a limited number of cases? This is a very serious situation.—We introduced the expression that A sees something else than B and we mustn’t forget that this had use only under the circumstances under which we introduced it.3 3 One difference I will not comment on beyond this note is that the first passage discusses red/blue inversion whereas the second discusses red/green inversion. I will treat the first passage as if it concerned red and green. 2 Wittgenstein and Qualia Note the words “We said that there were cases…” suggesting that those cases are coherently describable and perhaps possible. What is the difference between the innocuous and dangerous cases? In the innocuous case, colors are inverted but certain properties of them—warm and cool—are not, and this happens suddenly to someone whose color experience has been normal before. So it is detectable because of two significant changes: (1) Things the subject knows to be red such as fires look green and things the subject knows to be green such as grass look red and (2) red things suddenly seem cool colored and green things seems warm colored. The dangerous scenario is widespread and is not behaviorally detectable in either of these ways. (Note that I am assuming color realism, i.e. that things often have objective colors, for example that fire hydrants really are red and grass really is green. This position contrasts with error theories that say that nothing really is colored but rather color involves an erroneous projection of mental properties onto the world. (See two joint papers by Paul Boghossian and David Velleman (Boghossian & Velleman, 1989, 1991).) I will not be able to discuss error theories further in this paper.) There is an immediate problem in figuring out what is supposed to be happening in the dangerous scenario. The most straightforward way for the innocuous case to become widespread would be if the odd thing that happened to the subject of the innocuous inverted spectrum scenario simply happened repeatedly, the result being many inverted people who knew that red things looked green and green things looked red and also saw red things as coolcolored and blue things as warm-colored, making the widespread inversion behaviorally detectable. But that is not what Wittgenstein is imagining in the dangerous scenario, since he takes the dangerous scenario to be one that is behaviorally undetectable. He says about the dangerous scenario that “we can never know if the other does not see something utterly different.” Perhaps what he has in mind is that the odd thing that happened to the subject in the innocuous scenario happened at birth. Then one might suppose that inversion is widespread but not detectable because the inverted people have not experienced a change and they have learned to use color words and the word ‘cool’ in conjunction with the color experiences they get on seeing, e.g. grass. So one might take the dangerous scenario to be one in which warm and cool are supposed to be inverted along with the colors themselves (Block, 1990; Levine, 1991). Intrasubjective vs Intersubjective Philosophers have made much of the difference between an intrasubjective spectrum inversion--in which a person at one time is said to be inverted with respect to the same person at another time--and an intersubjective spectrum inversion in which one person is said to be inverted with respect to another. The key dialectical difference can be explained as follows. Suppose we have a pair of identical twins at birth. One of them has the wires crossed in his visual system whereas the other does not. The twins are raised normally and acquire color terminology in the normal way. On the point of view that I favor, we 3 Wittgenstein and Qualia may suppose that it is possible that the way red things (which they agree are red) look to one twin is the same as the way green things (which they agree are green) look to the other. Now a vulnerability in this line of thought stems from the following objection (Block, 1990, 1994; Harman, 1990). Notice that it is not possible that the brain state that one twin has when he sees things they both call "red" is exactly the same as the brain state that the other twin has when he sees things they both call "green". At least, the total brain states can't be the same, since the first causes the subject to say "Its red", and to classify what he is seeing as the same color as blood and fire hydrants, whereas the second causes the other twin to say "Its green", and to classify what he is seeing with grass and Granny Smith apples. Suppose that the color-relevant brain state that one twin has when he sees red things and that the other has when he sees green things is X-oscillations in area V4, whereas the colorrelevant brain reaction in the first twin to green and to the second twin to red is Y oscillations in area V4. The objector can say that phenomenal properties should not be thought to be based in brain states that are quite so "localized" as Xoscillations in V-4 or Y-oscillations in V-4, but rather color experience should be seen as based in more holistic brain states that include the brain bases of reporting and classification behavior. (I am assuming agreement on some form or other of physicalism or physicalistic functionalism.) Thus the objector whom I am thinking of will want to say that one twin’s holistic brain state that includes Xoscillations and the other twin’s holistic brain state that includes Y-oscillations are just alternative realizations of the same experiential state: that experiential state has a disjunctive realization. So the fact that red things cause Xoscillations in one twin but Y-oscillations in the other doesn't show that their experiences are inverted. The defender of the claim that inverted spectra are possible (and coherently describable) can point out that when something looks the way red things look to one twin, he has X-oscillations, whereas when something looks the way green things look to him, he has Y-oscillations, and conversely for the other twin, and so the difference in the phenomenal aspect of color experience corresponds to a local brain state difference. But the objector can parry by pointing out that the experiential difference has only been demonstrated intrasubjectively, keeping the larger brain state that specifies the roles of Xoscillations in classifying things constant. The X to Y difference in each subject is a color experience difference, but this gives us no knowledge of cross-person comparisons. The objector can insist on typing brain states for inter-personal comparisons holistically. And most friends of the inverted spectrum are in a poor position to insist on typing experiential states locally rather than holistically, given that they normally emphasize the "explanatory gap", the fact that there is nothing known about the brain that can adequately explain the facts of experience. So the friend of the inverted spectrum is in no position to insist on local physiological individuation of qualia. At this stage, the debate seems a standoff, and that is 4 Wittgenstein and Qualia where the intrasubjective inverted spectrum comes into the picture.4 The intrasubjective inverted spectrum scenario can be seen as a way for the defender of the inverted spectrum to avoid this response, for if the change happens in the life of an individual person, we have introspective and behavioral evidence of an inversion and do not have to ask the question of whether brain states should be thought of in a localistic or holistic manner (Block, 1990, 1994; Shoemaker, 1982). I agree with this superiority of the intrasubjective inverted spectrum scenario, and will be pursing it in detail later. But for now, my point is that the intra vs inter difference is not directly involved in the difference between the innocuous and the dangerous inverted spectrum. Note that it is clear from the first passage that I quoted that for the kind of inverted spectrum that Wittgenstein is willing to accept, he accepts both intrasubjective and intersubjective versions of the innocuous scenario. The individual he describes sees everything differently today than yesterday—that’s the intrasubjective version. And he also endorses the intersubjective version in saying “I think we should under these or similar circumstances be inclined to say that he saw red what we saw blue.” So it does not appear to be the intrasubjective/intersubjective difference that is at issue as between the innocuous and dangerous scenarios. Qualia So what is the difference between the “innocuous” inverted spectrum case, the one Wittgenstein regards as coherent and maybe possible, and the “dangerous” case, the one that he rejects? One difference is that the innocuous case occurs suddenly and “under peculiar circumstances:” the subject agrees that fire and the sky now “look queer”; whereas in the dangerous case “it may always happen”, even not under peculiar circumstances. So they differ in how peculiar and how widespread they are. Another difference is that the innocuous case is behaviorally detectable, whereas it seems that what Wittgenstein is imagining in the dangerous case is not behaviorally detectable. I do not think that the underlying issue that concerns Wittgenstein is primarily any of these things. Rather, I think the underlying issue is the existence of qualia, features of experience that are not expressible in ordinary language in a canonical way. By a canonical way I mean that, for example, one cannot express what red things look like colorwise in normal circumstances using terms like “looks red”, since things that look the way red things look to me (in normal circumstances) may look to you the way green things look to me. And I think the crucial difference between the innocuous and dangerous cases that is relevant to qualia, is whether normal people (or of one normal person at different times) in normal circumstances can be said to be color inverted or shifted with respect to 4 It should also be said that although some kinds of visual experience are localized in the brain, notably experience as of a face or as of motion, the same cannot be said for color. Color appears to be represented at a number of occipital sites, mainly in V4 and V8. 5 Wittgenstein and Qualia one another5. In the innocuous case, the color inverted person is abnormal. But if “one section of mankind has one sensation of red and another section another,” (Wittgenstein, 1958, Section 272, p. 95) then it would seem that normal people can have inverted color experience with respect to one another, and that is the source of the “very serious situation”. Here is why. It is incoherent to suppose that there are normal people in normal viewing circumstances for whom red things look green. To see this, suppose you are one of those putatively normal people for whom red things always look green. I say to you that whereas red things look red to me, red things look green to you. Suppose that you and I agree that there is a color-perception difference between us, and that the difference can be described by the locution “Things we agree are red look to you the way things we agree are green look to me.” Still, you can object to the idea that red things look green to you. You can reply Who says that red things look green to me? Why are you the one for whom red things look red? I would rather say that red things look red to me and green to you! If we are both normal, you have as good a case as I do. Since we are both normal, the right response is that neither you nor I have a superior claim to be the one for whom red things look red and green things look green. The situation is relevantly symmetrical. What we should say instead is that the way red things look to me is the same as the way green things look to you, and in allowing that there are ways things look that cannot be expressed in terms of “looking red” or “looking green” or any phrase of the form “looking F” where F is a color name, we step into the realm of qualia. (Given what I mean by ‘qualia’, this is definitional.) I am making heavy use of the concept of normality, but without saying what it means. I think we all know well enough what it means, but of course that stance leaves my position open to alleged ambiguities or obscurities that affect the argument. Using the familiar “what is like” terminology (Farrell, 1950; Nagel, 1974), the point is that if we acknowledge the innocuous inverted spectrum scenario, we can say that green is what it is like for the abnormal person to see red, whereas for the normal person, red is what it is like to see red. So the innocuous scenario does not require us to suppose that there are color experiences that cannot be canonically expressed in natural language. However, if we allow the coherence of the dangerous scenario, in which normal perceivers are inverted with respect to one another, we cannot say of either of them that green is what it is like to see red. If we acknowledge the coherence of an inverted spectrum in this sense, we have to agree that no color name expresses what it is like for either one of the inverted people to see red. I am not saying that what it is like for them to see red cannot be referred to in English. For example, we can refer to it by saying “What it is like for that person to see red”. What we cannot find is a color name F, such that what it is like for one of these people to see red can be expressed in the 5 Shifted spectra could be used to make the same points as made here in terms of inverted spectra, but I will stick to inverted spectra in this paper. See (Block, 1999). 6 Wittgenstein and Qualia form “looking F”, and in that sense we can say that the experiential property is an ineffable quale. Sydney Shoemaker (Shoemaker, 1982) distinguishes between intentional and qualitative similarity. If something looks red to you and me, then our experiences are thereby intentionally similar, but if your spectrum is inverted relative to mine, our experiences are thereby qualitatively dissimilar. If something looks red both to you and to me, our experiences thereby have similar intentional content, but if our spectra are inverted with respect to one another, they also have dissimilar qualitative contents. Looking red is an intentional content of color experience, not a qualitative content. For both members of the inverted pair, red things look red and green things look green. I will argue below that the upshot is that color language in application both to the outer and the inner is keyed to intentional contents of experience (Block, 1990). The problem for Wittgenstein, then, is that the dangerous inverted spectrum hypothesis mandates qualities of experience that go beyond its intentional properties. Those who have a “use theory of meaning” that focuses on external rather than internal uses—and Wittgenstein is certainly the source of and a plausible candidate for the attribution of this perspective—will find the description I am giving unacceptable. When Wittgenstein says “But then it is clear that the very idea of seeing red loses its use if we can never know if the other does not see something utterly different,” I doubt that he is talking about the use of ‘red’ to refer to the color of fire hydrants: that use is unaffected by the scenario. The use that is affected is the use in describing what it is like to see red in Shoemaker’s qualitative sense. As (Byrne, 2006) notes, Gottlob Frege (Frege, 1884/1953) held a similar view: The word ‘white’ ordinarily makes us think of a certain sensation, which is, of course, entirely subjective; but even in ordinary everyday speech, it often bears, I think, an objective sense. When we call snow white, we mean to refer to an objective quality which we recognize, in ordinary daylight, by a certain sensation. If the snow is being seen in a coloured light, we take that into account in our judgement and say, for instance, ‘It appears red at present, but it is white.’ Even a colour-blind man can speak of red and green, in spite of the fact that he does not distinguish between these colors in his sensations; he recognizes the distinction by the fact that others make it, or perhaps by making a physical experiment. Often, therefore, a colour word does not signify our subjective sensation, which we cannot know to agree with anyone else's (for obviously calling things by the same name does not guarantee as much), but rather an objective quality. (§26) And, although it is a bit of a stretch, one can see Wittgenstein’s beetle in the box passage as endorsing a similar view6. 6 “Suppose everyone had a box with something in it: we call it a ‘beetle’. No one can look into anyone else's box, and everyone says he knows what a beetle is only by looking 7 Wittgenstein and Qualia Opponents of there being an intelligible inverted spectrum hypothesis tend to make the inverted spectrum hypothesis look bad by putting it in terms like “Red things look green to one person and red to the other” in a scenario where the two are clearly normal, instead of “things that the two people agree are red look to one the way things they agree are green look to the other”. For example, Gilbert Harman (Harman, 1990, p. 47) argues as follows” Things that look red to Alice look green to Fred, things that look blue to Alice look orange to Fred, and so on…Now, in the normal case of perception, there can be no distinction between how things look and how they are believed to be, since how things look is given by the content of one’s perceptual representation and in the normal case one’s perceptual representation is used as one’s belief about the environment. The hypothesis of the inverted spectrum objection is that the strawberry looks different in color to Alice and to Fred. Since everything is supposed to be functioning in them in the normal way, it follows that they must have different beliefs about the color of the strawberry. If they had the same beliefs while having perceptual representations that differed in content, then at least one of them would have a perceptual representation that was not functioning as his or her belief about the color of the strawberry, which is to say that it would not be functioning in what we are assuming is the normal way. A further consequence of the inverted spectrum hypothesis is that, since in the normal case Alice and Fred express their beliefs about the color of the strawberries and grass by saying “it is red” and “it is green,” they must mean something different by their color words. By “red” Fred means the way ripe strawberries look to him. Since that is the way grass looks to Alice, what Fred means by “red” is what she means by “green.”” Harman goes on: “It is important to see that these really are consequences of the inverted spectrum hypothesis.” But these are consequences of an inverted spectrum hypothesis that no proponent should accept, one that combines the assumption of normality of Alice and Fred with the claim that their experiential contents can be wholly expressed in terms of phrases like “looking red”. Those of us who accept the existence of qualia can say that Alice and Fred have the same beliefs about the color of the ripe strawberry and how it looks, namely that it is red and looks red—because those beliefs function so as to ascribe the same intentional content, which is what is relevant to perceptual belief. And those of us who accept qualia can say that “the way ripe at his beetle. — Here it would be quite possible for everyone to have something different in his box. One might even imagine such a thing constantly changing. — But suppose the word ‘beetle’ had a use in these people's language? — If so it would not be used as the name of a thing. The thing in the box has no place in the language game at all; not even as a something: for the box might even be empty. No, one can ‘divide through’ by the thing in the box; it cancels out, whatever it is”. (Wittgenstein, 1958, §293). 8 Wittgenstein and Qualia strawberries look to him” is ambiguous, having a qualitative and an intentional sense. So Harman’s critique depends on another critique of the intentional/qualitative distinction and does not stand on its own. Color Terms Express Intentional not Qualitative Contents What exactly is the argument that color terminology (‘red’, ‘green’, etc.) is keyed to intentional contents rather than qualitative contents? In daily life, we do not distinguish between intentional and qualitative content, just as we do not normally distinguish between weight and mass or between rest mass and relativistic mass. Shouldn’t we suppose that there is some sort of indeterminacy, as with ‘mass’, where ordinary uses of the term ‘mass’ partially denote both, as argued plausibly by Hartry Field (Field, 1973)? In (Block, 1990), I argued that if spectrum inversion is actually rife, it would make sense to think of our tacit semantic policy as one of using color terms as applied to experience to denote intentional contents of experience, since when we say of someone that the fire hydrant looks red to him, we often know what the intentional content is, but not what the qualitative content is. So how can we be understood as attributing a qualitative content? However, we do not know whether spectrum inversion is actually rife (cf. (Byrne, 2006), §3.8). Is there an argument from our lack of knowledge whether or not inversion is rife to the same conclusion? Yes, the same argument applies. When we say of someone that the fire hydrant looks red to him, we can know what the intentional content is—say if we know that conditions are normal and the perceiver’s visual system is normal (excluding crossed wires), but not what the qualitative content is. If phrases like “looking red” were intended to apply to qualitative contents, we would have a vulnerability to widespread error that we do not take ourselves to have. For example, we assume that we all stop at stop-lights in part because they look red to us, and no one would take that assumption to be overturned by finding out that inverted spectra are rife. But if actual inverted spectra undermined such attributions then our uncertainty about inverted spectra would spread to ordinary attributions. We would be uncertain whether people stop at stop lights in part because they look red. But we are not uncertain about that fact, which suggest that our semantic policy is one that links those attributions to intentional contents rather than qualitative contents. I have some agreement with Frege when he says “Often, therefore, a colour word does not signify our subjective sensation, which we cannot know to agree with anyone else's.” I would take the “cannot know” to mean in practice rather than in principle, since I think perceptual neuroscience is making great strides in that direction. The Fregean point is very easily available to language users. I became aware of it as a child. And my seven-year old daughter commented on first hearing the inverted spectrum hypothesis that it explained why some people didn’t have purple as their favorite color. Shifted Spectra There is another argument that favors the same semantic policy, an argument not in terms of inverted spectra but in terms of shifted spectra. 9 Wittgenstein and Qualia The first premise is the fact that there is enormous variation in color vision in the normal population. In a recent article in the Journal of the Optical Society of America, (Malkoc, Kay, & Webster, 2005, p. 2155) comment: “Subjects with normal color vision have been previously shown to vary widely in the stimuli they select for the unique hues and in the focal stimuli they select for basic color terms Thus a yellow that appears distinctly reddish to one observer might appear strongly greenish to another.” 7 When they speak of “the stimuli they select for the unique hues” they mean the stimuli that are supposed to be the best examples of red, green, blue and yellow as opposed to colors that seem to subjects to be mixes such as orange, purple, blue-green and yellow-green. These are mixes in the sense that, for example, orange seems both reddish and yellowish. In particular, they comment (p. 2156) that “As in previous studies, the range of variation in the hue settings is pronounced, to the extent that the range of focal choices for neighboring color terms often overlap. Thus some subject chose as their best example of orange a stimulus that other subjects selected as the best example of red, while others selected for orange a stimulus that some individuals chose for yellow.” (I hope you are surprised!) Using eight color categories, there was 80% agreement among normal perceivers in normal circumstances on only two of thirty-four samples. The eight categories were not fine shades but coarse colors.8 A particularly useful experimental paradigm for assessing individual differences uses the anomaloscope (devised in the 19th Century by Lord Rayleigh), in which subjects are asked to make two halves of a screen match in color, where one half is lit by a mixture of red and green light and the other half is lit by yellow or orange light. The subjects are asked to adjust the intensities of the red and green lights on one side so as to match the yellow or orange light on the other. The result is that when a normal person is satisfied that they match, another normal person generally sees the lights as different and will adjust the red/green mixture differently to match. (Neitz, Neitz, & Jacobs, 1993) note that “People who differ in middle wavelength sensitivity (M) or long wavelength sensitivity (L) cone pigments disagree in the proportion of the mixture primaries required” (p. 117). That is, whereas one subject may see the two sides as the same in color, another subject may see them as different--e.g. one redder than the other, and that difference is based in differences in the physiology of the retina. But how do we know that those who match differently are all normal? When red and green lights are adjusted to match orange, women tend to see the men's matches as too green or too red (Neitz & Neitz, 1998). And a major difference between men and women that at least in part 7 I learned about this paper from : (Cohen, Hardin, & McLaughlin, 2006). The same points are made on the basis of older evidence in (Block, 1999; Hardin, 1988). 8 There was no more disagreement about the binary hues (purple, blue-green, yellowgreen and orange) than about the unique hues (red, blue, green and yellow). 10 Wittgenstein and Qualia explains these results is a difference in the underlying physiology of vision. Let me explain There are three kinds of cone in the retina that respond to long, medium and short wave light. The designations "long", "medium" and "short" refer to the peak sensitivities. For example, the long cones respond most strongly to long wavelengths but they also respond to medium wavelengths. Two normal perceivers chosen at random will differ half the time in peak cone sensitivity by 12 nm (nanometers) or more. This is a considerable difference, given that the long wave and middle wave cones only differ in peak sensitivities by about 25 nm. Further, there are a number of specific genetic divisions in peak sensitivities in the population. The most dramatic of these is a 51.5%/48.5% split in the population of two types of long wave cones that differ by 5-7 nm, roughly 24% of the difference between the peak sensitivities of long and middle wave cones. ((Neitz & Neitz, 1998)9) This characteristic is sex-linked. The distribution just mentioned is for men. Women have smaller numbers in the two extreme categories and a much larger number in between. As a result, the match on the Rayleigh test (described earlier) “most frequently made by female subjects occurs where no male matches” ((Neitz & Jacobs, 1986), p. 625). (Neitz & Neitz, 1998) explain the result as follows. Genes for long and medium wave pigments are on the X chromosome. Men have a single X chromosome which is roughly equally likely to be either of the two forms, and hence they show a matching distribution with two spikes corresponding to the peak sensitivities of the two kinds of cones. Women have two X chromosomes. In roughly half the cases, they have the same allele in both chromosomes—in the other half the alleles are different. That is, a quarter of the cases are XAXA, a quarter XBXB, and a half are XAXB. In the XAXB case, one gene de-activates the other. But that happens independently in each cone in the retina, the result being that the average cell in these women is intermediate between the extreme values, and so these women have long wave absorption peaks roughly in between the two groups of men. Further, variation in peak sensitivities of cones is just one kind of color vision variation. In addition, the shape of the sensitivity curves vary. These differences are due to differences in macular pigmentation, which vary with “both age and degree of skin pigmentation” (Neitz & Jacobs, 1986, p. 624). Hence races that differ in skin pigmentation will differ in macular pigmentation. There is also considerable variation in amount of light absorption by pre-retinal structures. And this factor also varies with age. I emphasize gender, race and age to stifle the reaction that one group should be regarded as normal and the others as defective. The upshot is that normal people vary in their color classifications, and this difference is at least in part due to variation in phenomenology which is in turn due to variation in the underlying physiology of color vision. 9 (Neitz et al., 1993) report a figure of 62%/38%. 11 Wittgenstein and Qualia That is premise 1 of my argument. Premise 2 is that despite variation in human visual apparatus from person to person, the borders for our application of color terminology to objects must to some extent be constrained by needs of communicating and cooperating with other people. Imagine, contrary to fact, that we were all given rigorous training in the application of accepted color terminology to the point where variation in application of color terms among us was minor. Things we almost all categorize as ‘borderline between red and purple’ will still look quite different to us, just as, in the inverted spectrum scenario, a fire hydrant that the members of the inverted pair both categorize as ‘red’ looks different them. My premise 2 is that to some extent, that is the way things are. That is, color terminology is to some extent subject to social and linguistic constraint. How do we know that? Normal people see colors as having the same similarity relations. In the Farnsworth-Munsell 100 hue test, subjects are asked to arrange 100 chips in a circle with one chip fixed as the starting chip. Normal subjects make nearly the same arrangement (Hilbert & Kalderon, 2000). One of the things social and linguistic influence does is to impose a set of categories on that similarity space. Before the introduction of oranges into England, the color we call ‘orange’ was considered a shade of ‘red’. (The OED’s first listed use of ‘orange’ as the name of a color is from 1512.) Cultural and linguistic influences no doubt affect the borders of our color categorizations. And of course culture also affects our shade categories. I am sure that those who were school age in the USA after 1949 will agree pretty much on the forty shades of Crayolas introduced then and in use (with more added and a few subtracted in 1958, 1972, 1990, 1993 and 1998) since then, such as burnt sienna and turquoise blue-despite variation in the way those colors look to us. And that is a shifted spectrum. Why is this relevant to the issue of whether color terms express intentional contents? Given that language is public and used in communicating and cooperating, and given that except in special experimental setups, we have no way of tracking individual variation in qualitative content of color perception, the only rational policy, and the policy I think that we have tacitly followed, is to tie color terminology to the colors things actually have. We say something looks red if it is red and everything else we know of is normal. Although there are many indeterminacies in the actual colors of things, there is also widespread agreement in part due to commercial enterprises (e.g. the naming of crayon and paint colors). The color-relevant intentional content of a color experience is the color our experience represents something to have—that is the content that color language of the form “looks red” tracks, not qualia. Behavioral Indistinguishability One upshot of the line of argument that I have been pursuing is that (contrary to everything I have read on the inverted spectrum) behavioral indistinguishability is not relevant to the use of the inverted spectrum hypothesis in arguing for the existence of qualia. If half of mankind is inverted with respect to the other half, the inversion shows the existence of qualia even if the inverted 12 Wittgenstein and Qualia spectrum is behaviorally detectable—unless one half is thereby seen to be abnormal or unless the behavioral difference undermines the claim of inversion. To see this, note that the little dialectic I rehearsed earlier about who has authority over the word ‘red’ would apply to the two normal groups as well as to two normal individuals. Neither group could pretend to be “the” group for which red things look red. If it is alleged that for members of the other group, red things look green, the other group can complain that the situation is relevantly symmetrical. The key to qualia is whether ‘looking red’ expresses an intentional content rather than a qualitative content, and for that conclusion, behavioral indistinguishability does not matter except to the extent that it can reveal that one group is not normal, or that the groups are not inverted with respect to one another. Virtually every argument that inverted spectra are impossible that I have read or heard appeals to one or another sort of asymmetry in color space.10 (I am talking about arguments that spectrum inversion is impossible not that it makes no sense.) For example, Bernard Harrison (Harrison, 1973) argues that there are more colors between red and green going one way around the color circle (via blue) than going the other way (via yellow). Another example: dark yellow is brown whereas dark blue is still blue, so hue is not symmetrical with regard to brightness. And desaturated red is pink but desaturated green is green, so hue is not symmetrical with regard to saturation.11 These are not just differences in categorization, but also differences in similarity. A light and dark blue look much more similar to one another than do light yellow and dark yellow, i.e. brown (Hilbert & Kalderon, 2000). Just how significant such asymmetries are is hotly debated. Stephen Palmer (Palmer, 1999) discusses a far larger number of ways in which the color space can be mapped onto itself than had appeared in the prior literature, some of which may avoid such problems. And as (Shoemaker, 1982) notes, we could always move to an example in which the color inverted pair see in black and white, imagining black and white inversion instead.12 That would be enough to disprove functionalism about that person’s experience.13 In addition, as Shoemaker notes, it is not clear why minor asymmetries ought to be significant given that we could imagine a slight variant 10 One argument against inverted spectra that is not based on an appeal to asymmetries is given in (Byrne & Hilbert, 1997). However, that argument is directed towards the conjunction of the possibility of an inverted s pectrum together with the thesis that there is a failure of match between the phenomenal character of a sensation and its intentional content. It is not an argument that purports to show that inverted spectra are impossible. 11 See (Byrne, 2006; Hilbert & Kalderon, 2000) for more details. A slightly more accurate description of the point about red and green is that desaturated near-red is pink but a desaturated near green is near-green. 12 See (Nordby, 1996) for a personal account of achromatic vision and (Byrne, 2006) for an objection. 13 The first use of an inverted spectrum argument against functionalism was (Block & Fodor, 1972). 13 Wittgenstein and Qualia of human color vision in which those asymmetries are absent but color experience is much the same as ours. But this argument is unsound according to Daniel Dennett (Dennett, 1991). Dennett notes that red is advancing, warm and exciting, whereas green is receding, cool and calming. He thinks that such asymmetries in function are intrinsic to color experience. So Shoemaker’s imagined race for whom these “minor” asymmetries are ironed out, could not have color experience much like ours. But this whole set of controversies can be sidestepped—at least if the existence of qualia is the issue. For as I have noted, the argument for qualia depends not whether the inversion is behaviorally undetectable but whether the groups that are inverted with respect to one another are both normal. All arguments that an inverted spectrum is impossible that I have seen focus on the claim that there could not be a behaviorally undetectable inverted spectrum. I know of no argument that anyone has given that there could not be a widespread detectable inverted spectrum in which the groups that are inverted with respect to one another are all normal. But if such an inverted spectrum is possible, then there are qualia. In the rest of this paper, I will discuss an argument that an inverted spectrum is possible. I will focus on an intrasubjective inverted spectrum because of the advantage I mentioned earlier. I will be considering an inversion in which any differences among the inverted pair are compatible with rough functional equivalence. (Earlier versions are in (Block, 1990, 1994).) The Intrasubjective Inverted Spectrum Argument I will argue that the innocuous inversion scenario that does not directly involve qualia leads to the dangerous inversion scenario that does involve qualia. Let us start with a scenario described in a way that is not (NOT!) acceptable to a Wittgensteinian. See Figure 1. 14 Wittgenstein and Qualia Figure 1 Inverted spectrum scenario described in a way that would not be acceptable to Wittgenstein or any Wittgensteinian. The captions express the way things look to the subject at each stage in terms of ways of looking, R and G. R is the way the red tomato looks at Stage 1. G is the way the red tomato looks at Stages 2, 3 and 4. We start at Stage 1 with you at your 18th birthday, at which time you are a normal perceiver. You call red things ‘red’ and red things look red to you. You agree to undergo an experimental color inversion in which a chip is inserted in your optic nerve which changes signals from red things into the signals that would have been produced by green things, and so on for other colors.14 I have been calling this crossing the wires in the visual system. If we were relaxed about what counted as a visual “input”, we could imagine instead virtual reality goggles that do this trick without any surgery. The operation is a success: at Stage 2, you are disposed to call red things ‘green’ and they look green to you, and so on: you see colored things as having the complementaries of their actual colors. The experimenters publish their 14 This is an oversimplification. There are many different types of “inversion” because there are many different ways to map the color solid onto itself. See (Palmer, 1999) 15 Wittgenstein and Qualia results and you get on with your life. At first, you have to fight your tendency to call red things ‘green’ and your tendency to stop at green lights, to suppose that red tomatoes are unripe and so forth, but after some years have passed, you naturally and spontaneously react to colors in the normal way. You unthinkingly call stop-lights ‘red’ and stop at them. How do we know that the colors have not reinverted so that the way things look is the same at Stage 1? You remember very clearly what things used to look like before the operation, and if asked, you say that everything used to look the complementary color of the way it looks now. At first, your status as the subject of the inverted spectrum experiment makes you a celebrity, but after years pass, the fickle public forgets, and you yourself rarely think about the way things used to look to you. At Stage 3, you are 50, and you haven’t thought about your operation in many years. Someone says to you “Aren’t you the person who underwent the experimental spectrum inversion?” You say “Oh yes, I haven’t thought about that in many years. But I do clearly recall the look of the ripe tomatoes at my 18th birthday party. They looked to me then the way grass looks to me now, colorwise.” If asked to paint a picture of the way things look to you today, you paint the grass green and the sky blue. If asked to paint a picture of the way things looked to you before the operation thirty-two years earlier, you paint the grass red and the sky yellow (Taylor, 1966). Another 10 years pass, during which time no one asks you about the operation and during which time you don’t think of the days before 18 or any of the times someone has questioned you about the inversion. At age 60, you develop amnesia for the period up to age 50. Now, and this is Stage 4, you have no memories for the period before your operation, nor do you have any memories for episodes of remembering that period. You are in relevant respects functionally identical to your 18 year old self, that is, your experience of red functions in your mental economy at age 60 the way your experience of red functioned at age 18. However, the way red things look to you at Stage 4 is the way green things looked to you at Stage 1. I think it makes sense to suppose that the inversion is not behaviorally detectable, but as I mentioned earlier, that assumption is not necessary for the argument. If this is to be an argument against functionalism, Stage 1 and Stage 4 have to be functionally equivalent. But functional equivalence is compatible with subtle differences that could reveal that there has been an inversion. However, if the purpose of the argument is to demonstrate qualia—and that is my main purpose here—the differences could be more substantial. At Stage 1, there is a way that red things look, R. At Stage 2, there is a way that red things look, G, and that G reaction to red things persists through Stages 3 and 4. Despite the ‘R’s and ‘Gs’ there is, as I will explain, no argument for qualia yet. However, if it is OK to quantify over ways things look and give names to them, then we have an argument against functionalism. (I will argue soon that even if it is not OK to quantify over ways things look, we have an argument against functionalism, but it will help to see the argument in a starker form.) Functionalism is the view that what it is like to have an experience is a matter of its causal relations to sensory inputs, behavioral outputs and other mental states. The way that red things look does not supervene on functional 16 Wittgenstein and Qualia organization, since your functional organization is relevantly the same at Stages 1 and 4 but the way red things look differs at the two times, since R differs from G. Conversely, the experience of a ripe tomato at age 18 and the experience of an unripe tomato at age 60 are phenomenally the same, colorwise, but you are in significantly different functional states. That is, ripe tomatoes at age 18 look the way unripe tomatoes look to you at age 60, but you are in significantly different functional states. So functionalism fails in both directions, even without qualia. Of course, I am not saying that Wittgenstein was a functionalist. His metaphilosophy makes any such attribution suspect. But to the extent that there is a metaphysical view of the mind that Wittgenstein’s views in philosophy of mind point to, it is functionalism (if not behaviorism). Note that the latter argument—that ripe tomatoes at age 18 look the same to you as unripe tomatoes at age 60 despite the very different functional states does not depend on any sort of behavioral undetectability of the inversion. For all the argument requires is sufficient functional difference. The former argument, the one that compares the way red things look at age 18 with the way red things look at age 60 is more vulnerable to issues of undetectability. To use Wittgenstein’s example, if you see red and yellow things as warm and green and blue things as cool at age 18, with many years of experiencing fire and water, you also see red and yellow things as warm and green and blue things as cool at age 60 despite the fact that at age 60 you see red things as green and green things as red. Whether the tendency to see red things as warm is environmentally acquired or whether it is innate in the visual system is, I believe, simply not known at this time. Whether a person who saw red as cool would be having a different color experience is also not known. Now it is not hard to see where a Wittgensteinian might object to the line of argument summarized in Figure 1. The subject at Stage 3 says “I do recall the look of the ripe tomatoes at my 18th birthday party. They looked to me then the way grass looks to me now, colorwise.” But what are these ways and why should we countenance them? And if these suspicious ways are coming in at Stage 3, presumably they must have been involved at the outset, in the argument at Stage 1. The Wittgensteinian may say that in effect the argument diagrammed in Figure 1 amounts to this, eliminating all but the essentials: Stage 1: There is a way red things look to the subject, R. Stage 2: The way red things look to the subject changes to the different G Stage 3: The way red things look to the subject remains G Stage 4: The way red things look to the subject remains G, however the subject is relevantly functionally identical to Stage 1 So relevant functional identity is compatible with difference in the way red things look. The problem, according to the Wittgensteinian objection, is the postulation and naming of the ways things look, even at Stage 1. However, and this is the crux, there is no need to see the admittedly provocative talk of R, the way red things look, colorwise, as amounting to anything more than the innocuous use of color words that Wittgenstein allows. 17 Wittgenstein and Qualia Consider Stage 2: red things look green. If our subject, the person who has undergone something “peculiar” is asked how he sees red things, he says he sees them as green. (Wittgenstein says he says “I see everything red blue today and vice versa.”) But now if asked how the way he sees things now contrasts with the way he saw things yesterday, it is perfectly natural for him to say. “I see everything red as green today, but yesterday I saw everything red as red.” So we are justified in saying that at Stage 1, he sees red things as red. I know Wittgensteinians are likely to object to this point, but I don’t see a good ground for it. If in the peculiar situation, our subject is justified in saying red things suddenly look green, he is also justified in saying that yesterday red things looked red. Imagine the subject talking to his doctor where it is better to err on the side of over-explicitness. The doctor is wondering whether there might have been something wrong with the patient even at Stage 1. To be absolutely clear, the patient says that red things look green today but yesterday red things looked red. And that justifies the descriptions given below in Figure 2 of Stage 1 and Stage 2. It would be weird for someone to claim, in non-peculiar circumstances, that red things look red. What use could it have? But we now live in a postGricean world in which pointlessness cannot be conflated with nonsensicality. And further, as just mentioned, it would not be pointless for our subject at Stage 2 to note that at Stage 1, red things looked red to him. 18 Wittgenstein and Qualia Figure 2 The same scenario described in Figure 1, but without explicit mention of the ways things look or of ‘R’ and ‘G’. The focus is on the colors that things look to have. And once we have gone this far, it is difficulty to see how to avoid the descriptions I have given of Stage 3 and 4. If red things look green at Stage 2, then they still look green at Stages 3 and 4. Here is a summary of the argument. Stage 1: Red things look red (to the subject). Stage 2: Red things look green Stage 3. Red things still look green. The subject says that ripe tomatoes used to look green, apparently disagreeing with my claim about his experience. But the apparent disagreement stems from the fact that his color terminology has changed, and this comes out when he talks about 19 Wittgenstein and Qualia the colors things look to have now rather than the colors they actually have now. He has adapted in that he now says the stop light looks red, even though we can see from other things he says that it looks as green to him as it did right after the operation. He does not say it looks green however, because he has adapted his color terminology so as to talk the way others do. But it is not possible for him to completely match the way others talk. At Stage 2 he got the colors of things wrong while correctly reporting how they looked. At Stage 3, his color language has inverted so that he matches other people on the colors of things, but the effect is to mislead on how tomatoes actually look to him. He could have kept his color terminology the way it was, in which case he would have been following the normal rules for describing how colors look, or he could invert his color terminology so as to describe things as having colors in conformity with the way others describe them. He could not do both because the way things look, colorwise, has changed. Stage 4. Red things still look green, but the subject is relevantly the same functionally as Stage 1, so functionalism is false (White, 1986) has suggested as against Stage 4 that once the amnesia hits, the subject’s experience instantaneously reinverts. This may be the best way to save functionalism, but it is hard to see what else can be said in favor of it. Note that the force of the argument presented earlier is preserved but without any quantification over ways or use of ‘R’ or ‘G’. The Argument for Qualia I have given a way of conceiving of spectrum inversion, but that certainly does not show that an inverted spectrum is possible. It is a platitude in philosophy that one cannot easily move from conceivability to possibility (Chalmers, 2002; Gendler & Hawthorne, 2002). However, since all the serious arguments I know of against the possibility of an inverted spectrum depend on the inversion being behaviorally undetectable, I do not think the transition from conceivability to possibility is so problematic here. Our subject at Stage 4 is inverted with respect to Stage 1, but that is still no argument for qualia, because our subject at Stage 4 is abnormal. After all, he has undergone an operation in which the wires in his visual system were “crossed”. And what could be more abnormal than that. But wait! “Crossed” is a metaphor. The subject at Stage 4 is inverted with respect to Stage 1, but why suppose it is Stage 4 that is abnormal rather than Stage 1? If we were to discover that all the rest of us were born with the physiological formation of the visual system that obtains in Stage 4 and that it is Stage 1 that is “peculiar”, we would regard Stage 1 as “crossed”. If we were to find out that our subject at Stage 4 was born with an unusual visual system, we would naturally take the view that the operation “uncrossed” the wires in his visual system, making him normal again. The metaphor of crossing and uncrossing is itself keyed to normality: it is the normal visual system that is “uncrossed”. 20 Wittgenstein and Qualia But what would we say if half the population has a visual system like Stage 1 and half like Stage 4? Then we would say that both are normal, that there are two different varieties of normal visual systems. If the intrasubjective inversion scenario described above is possible, then so is the scenario just mentioned in which half the population has a visual system like Stage 1 and half like Stage 4. What it is like for one sub-population to see red things is what it is like for the other to see green things, and so on. But neither group can claim that they, uniquely see red things as red and green things as green, while the other group sees red things as green and green things as red, for both groups are normal. So color experience cannot be expressed using the “looks F” form, where F is a color. So we have an argument for qualia. Daniel Taylor and Sydney Shoemaker (Shoemaker, 1975; Shoemaker, 1982; Shoemaker, 1996; Taylor, 1966) have argued from the possibility of intrasubjective inversion to the possibility of intersubjective inversion. They argue that if Fred undergoes intrasubjective spectrum inversion, then the color experience of others must be radically different from Fred’s either before his inversion or after it (or both). I am also arguing from intra to inter, but the intra and inter are not important, in themselves, for my case. My focus, rather, is on the normality of both members of the inverted pair. (Another difference: I am starting with the comparison of “crossed” and “uncrossed” wires in visual systems and using that to argue for different experiences.) Wittgensteinians could avoid this conclusion by rejecting the assumption that what it is like to see something depends on whether wires are “crossed” in the visual system. That assumption is involved in the reasoning about what to say if half the population is like Stage 1 and half like Stage 4. That is, Wittgensteinians could assume that crossed wires have no effect on what it is like to see colors so long as the crossing is congenital. This view is natural for representationists like Alex Byrne, Fred Dretske, Bill Lycan, Michael Tye, and “vehicle externalists” like Alva Noë and Susan Hurley.15 But these are heavy duty philosophical theories which Wittgensteinians should reject. Another line of argument to the same effect is the functionalist view mentioned earlier that the different brain realizations that supposedly determine the different color experiences are localistically individuated whereas they should be holistically –i.e. functionally—individuated. However, once the functionalist concedes the possibility of an intrasubjective inverted spectrum, functionalism is refuted, so using functionalism against an intersubjective inverted spectrum would be unconvincing. If the functionalist is to be effective in blocking the argument from intra to inter, the functionalist will have to do better on refuting the intra case itself. Further, since crossing wires in the visual system has a color inverting effect on an adult, it is just a piece of scientifically informed common sense that it has that effect on a child. This piece of scientifically informed common sense should not be denied by anyone who rejects philosophical theorizing and insists on leaving everything as it is. 15 (Byrne, 2001; Dretske, 1995; Hurley, 1998; Lycan, 1996; Noë, 2004; Tye, 1995, 2000) 21 Wittgenstein and Qualia Another option for the Wittgensteinian is to adopt what (Shoemaker, 1982) calls the “Frege-Schlick” viewpoint, according to which intrasubjective comparisons of the qualities of experience make sense, but intersubjective comparisons do not. Again, this is a heavy-duty theoretical point of view. In ordinary life, we do make such comparisons. For example, it is a fact known to many of us that if you have just eaten grapefruit and I have not, some wines will taste quite different to you than to me. And further, Wittgenstein himself accepts the intersubjective version of the innocuous inverted spectrum scenario. It may be said on Wittgenstein’s behalf that in comparing the taste of the wine between you and me, we are talking about the intentional content of the taste, not its qualitative content. But that defense would amount to turning Wittgenstein into a representationist, not something that one who respects Wittgenstein’s metaphilosophical views should welcome. Memory (Dennett, 1988; Dennett, 1991)has emphasized the unreliability of memory in arguing against inversion scenarios. Figure 3 shows a schematized Stage 1 at the top (that is the topmost of the 4 schematic depictions). Seeing a ripe tomato causes the subject to experience red which causes him to say “Red!”, indicating a normally functioning experience as of red. The second portion shows the subject at Stage 2 where seeing the red tomato causes an experience as of green, which causes the subject to say “Green!” The bottom half of the diagram indicates two different versions of the situation at Stages 3 and 4. According to the possibility that I have been emphasizing (“phenomenal realism”), at Stages 3 and 4, red things look green. The subject says “Red!” because there has been a terminological inversion that cancels out the color perception inversion. But memory skeptics such as Dennett wonder how we can rule out the case schematized in the last line in which the compensating inversion occurs earlier than I imagined and the subject misreports his experience, remembering falsely what red used to look like. 22 Wittgenstein and Qualia Figure 3 The phenomenal realist contrasted with the memory skeptic. See text. Dennett’s argument is that the two possibilities represented in the two scenarios at the bottom half of Figure 3 cannot be distinguished so the distinction makes no sense. However, he gives no reason to doubt that they can be distinguished empirically, as indicated in Figure 4. 23 Wittgenstein and Qualia Figure 4 The bottom two hypotheses from Figure 3 elaborated Figure 4 presents an implementation of the difference indicated in the bottom two scenarios of Figure 3. In the top case in Figure 4, the possibility that I have been emphasizing is elaborated. The subject at Stage 3 sees a ripe tomato. It looks green. The subject contrasts its looking green with the way ripe tomatoes used to look. The machinery of this comparison involves a comparator device which compares the neural implementation of the experience with the neural implementation of the memory of previous tomato experiences. Of course, this story is unflinchingly physicalistic, but no more so I think than the Tuesday New York Times. A Wittgensteinian who wishes to deny this level of physicalism would have to adopt a revisionary theoretical perspective, something that a Wittgensteinian should not do. One version of a Dennettian memory skeptical scenario is indicated at the bottom of Figure 4. The idea is that the memory is itself inverted, as is the experience, so when the subject compares them, the subject says the current experience is not what he remembers. The report is the same but the internal reality is not. Dennett wonders how these two hypotheses could possibly be distinguished. Since they cannot be distinguished, he thinks there is no real 24 Wittgenstein and Qualia difference. My response is that there is no reason to doubt that the normal methods of science could distinguish them. For example, perhaps it could be shown that the memory representation does not change in the relevant period. Dennett might object that one can tell whether the memory representation in the brain changes only if one can distinguish the memory representation from the physical basis of the quale itself, whereas his point is that these cannot be distinguished. But the point of the detail illustrated in Figure 4 is that once one makes the hypothesis concrete, the claim that the normal methods of science cannot possibly resolve such issues begins to look like mere skepticism. My overall argument is this: The kind of color inversion that Wittgenstein accepts seems to allow a case such as that depicted at Stage 2 in Figure 2 in which an abnormal person has inverted color experience. But once that description of Stage 2 is accepted, it is hard to see what is wrong with the description I gave in Figure 2 of Stage 1. And once those descriptions are accepted, it is hard to see why we cannot proceed to Stages 3 and 4. 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