Saying and Showing

 

 

Saying and Showing

 

Wittgenstein famously introduced the distinction between saying and showing in the Tractatus. I won’t be concerned with his treatment of the distinction, either by way of interpretation or evaluation; but I will be using the terminology. I want to say that every speech act includes an act of showing, as well as an act of saying, and also that showing is not a type of saying. It is not (pace Wittgenstein) that what is shown cannot be said, but only that the showing that occurs in speech acts is not a type of saying in that very speech act. The kind of showing I have in mind is perfectly familiar and non-mystifying: it is the mere utterance of a sentence with its characteristic form. The speaker displays or exhibits or presents a sentence to the hearer’s senses (generally vision and hearing), thus showing him that sentence. The speaker doesn’t say he is showing the hearer a sentence; he simply does it—as he might show the audience a coin in his hand. But the hearer is then in a position to know what the speaker is saying: the speaker says something to the hearer by showing him a sentence. He might, for example, produce a written sentence from behind his back that the hearer is now in a position to interpret and make an ascription of saying. Showing in this sense is an act of proffering an item to the senses, and this is what enables the speaker to communicate by acts of speech. So two acts are performed in a given speech act: an act of showing and an act of saying, where the former enables the latter. In other words, the act of uttering (saying in the oratio recta sense) is an act of showing (displaying, exhibiting, etc.) in the performance of which something is said in the oratio obliquasense. Utterance is not merely sounds issuing from the speaker’s mouth—that might be just involuntary babble—but an intentional presentation to someone’s senses of a sentence (conceived as such) for a specific purpose, viz. to say something to that person. The speaker is showing something to the hearer in roughly the sense in which a tour guide might show you the way to a cathedral. The purpose of the showing is to perform an act of saying and it is a sine qua non of that.

            In fact there is a bit more complexity here. First, there is not just the speech act of saying but also of commanding and questioning (and any other type of speech act you may believe in). The speaker shows the sentence “Shut the door!” in order to command the addressee to shut the door, or shows the sentence “What time is it?” in order to ask what the time is. Notice that the variety of speech acts performed is accompanied by uniformity in the act of showing: all speech acts involve showing, though not all involve saying. So there is something in common to all speech acts—they all involve an act of showing. Moreover, they all involve something not specifically linguistic, because showing occurs in a wide range of activities: we show sentences to each other in much the way we show things in general to each other (maybe the one capacity derives from the other). Second, there are two parts to the kind of showing that occurs in acts of communication: one part is the act of the speaker in showing a sentence to the hearer; the other is the sentence itself showing its form to the hearer (this is closer to Wittgenstein’s use of the concept). I show you a sentence S and S shows you its grammatical and logical form—without saying anything about this form. A conjunctive sentence doesn’t say it is a conjunction—it just is one. So strictly there are two acts of showing in any speech act: speaker showing and sentence showing. The speaker shows you a sentence and the sentence shows you its form (as well as its vocabulary). The speaker doesn’t say, “I am showing you this sentence” but simply does it, and the sentence doesn’t say, “I am an existentially quantified sentence” though it manifestly is one. This double showing is integral to the success of the speech act and is not to be viewed as mere acoustic production: it is part of speech as a rational purposive activity.

            I am tempted to suggest that this way of talking comes naturally because we are a theatrical species. Our social interactions have a theatrical character (think Shakespeare and Erving Goffman). We are always “putting on a show”. Thus the idea that speech involves performance is a theatrical idea (we perform speech acts as actors perform their lines). Our speech comprises a display that is designed to be interpreted by an audience as an act of saying (etc.). If all the world’s a stage and we are merely players, then our speech will involve acts of theatrical showing—skilled presentations that reveal states of mind. We show other people things in order to get things across to them: we wave our hands, point our fingers, make urgent sounds when in extremis, and produce grammatical strings.  We proffer things to other people’s senses in the hope that we will be understood. This requires skills akin to those of an actor; and isn’t speech often a kind of acting? We have to put in a goodperformance, a convincing verbal display (e.g. Winston Churchill giving a mesmerizing speech). So we naturally think of our speech performances in theatrical terms—as a type of show we put on. The great speaker or writer is exceptionally good at showing people sentences that produce the best audience effect. In any case, speaking involves showing—displaying, exhibiting. In speaking I reveal my thoughts, parade my desires, and exhibit my intentions—I show you sentences from which you make suitable inferences. Sign language is exemplary in this respect: here the speaker uses her hands to show the audience signs that communicate states of mind—and it lookstheatrical. The poet, too, shows you words and sentences that convey ideas and emotions (the love letter is similar). The language teacher may proceed by exhibiting sentences for the student to learn—while simultaneously saying something.

            The point of my saying all this is to supplement the usual conceptual apparatus of speech act theory with another layer of concepts: it is not just about saying, commanding, etc. but also a sophisticated type of action aptly captured by the showing terminology. Nothing like this exists in the work of the later Wittgenstein or Austin or Searle or Strawson or Grice: we just have an etiolated notion of “utterance”. But the speech act as it exists in humans is a more complex and subtle phenomenon than this terminology suggests, possibly because of lingering behaviorist assumptions. The general form of a speech act consists of a double act of showing combined with an illocutionary act of saying (commanding, questioning, etc.). It isn’t just people making noises that other people interpret this way and that but an act of putting words on display with all that that implies.[1]   

 

Colin McGinn

[1] Showing is not opposed to saying but the two form an indissoluble whole: in saying we show and in showing we say. I will also note that showing is a type of externalization: an inner process is externalized as we show sentences to interlocutors—thought is revealed in spoken words.

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Time and Truth

 

Time and Truth

 

Truth relates to time in an interesting way: once a fact obtains a corresponding proposition is instantaneously true. On the one hand is a fact, say the fact that it just started raining at a certain place, while on the other is a proposition (a belief or assertion), say that it is raining at said location, and the second thing acquires the property of being true at the very moment the fact begins to obtain. Generally, when an object acquires a property a propositional entity comes to possess the attribute of being true at exactly that time—there is no time lag—even though the two things may be far apart (even at the other end of the universe). It is customary to speak of facts as truth-makers, so we can say that facts make propositions true instantly. Facts and true propositions are not identical, yet facts can confer truth on propositions. The truth of the proposition is a consequence of the fact, though it is a consequence that takes no time (rather like logical consequence and unlike causal consequence). This can seem puzzling—like the “non-locality” spoken of in connection with quantum theory. How can the fact manage to reach across space and make a proposition true without any temporal delay? For it is not just that the fact obtains and the proposition is simultaneously true but that the proposition’s being true is a result of the fact obtaining. It would be different if the fact were simply identical to a true proposition, but that is evidently not the case, since facts are not true propositions and true propositions are not facts (they involve different ontologies). No, these are entities of different types, yet one can influence the other at arbitrarily large removes. (One might indeed see the puzzle as a motivation for regarding an identity theory of facts and truths with more favor.) In any case, it appears to be a fact that facts and truths are connected in this way—by a kind of instantaneous action at a distance. Notice that objects and singular terms are not likewise connected: objects don’t make terms refer to them—they are not “reference-makers”. We are more inclined to speak of terms as determining the object referred to, not of objects as determining the reference of terms. In the case of truth, by contrast, the entity in the world contrives to bestow the semantic property of truth on the extraneous propositional entity, which may be an utterance at some remote location (a different galaxy, say). The reason the proposition is true is simply that the fact obtains (an object has a certain property): that is the explanation of its truth.

            I won’t say anything more about how to resolve this puzzle, or even whether it really is a puzzle; I will simply take it for granted that truth has the property in question, viz. that truth is conferred at the exact time that the reported fact comes to obtain. My purpose is to use this property of truth to undermine certain ideas about the nature of truth. The property is thus not a trivial property consistent with any theory of truth but rather has polemical teeth. Suppose we try to identify truth with verification: then truth will turn out not to be simultaneous with the fact stated. For verification takes time and is generally subsequent to the time of statement. Suppose that at time t I say that there are five oak trees in my garden; and suppose it takes five minutes to verify that this is true: then the statement will not be true until five minutes after t, according to the thesis that truth is verification. There were five oak trees in my garden at t and so my statement was true at t, but the statement was not verified to be true until five minutes later, which would make it true then according to the theory that truth consists in verification. The only way to avoid this is to claim that there were no oak trees in my garden at the time of utterance and that there only came to be five oak trees at t + 5 minutes. But surely we want to allow that facts can be verified after the time at which they actually obtain (now the fact, later the verification of the fact). Truth arrives at the time of facts not at the time of the verification of facts, so we can’t tie truth to verification by identifying the two. This is why it makes sense to ask how long it will take to verify a proposition, but it makes no sense to ask how long it takes for a proposition to be true. Verification takes time, but it takes no time for a proposition to be made true. Verification is an activity spread out in time, but making-true is not similarly spread out in time—it happens instantly. We can say that a proposition can be verified as true, but we can’t say that a proposition can be true bybeing verified; the two concepts are logically quite different, as is shown in their relation to time. Similarly, we can say that a procedure of verification is time-consuming or that it was executed slowly, but we can’t say anything like this about truth (“It took so long for his assertion to be true”). We might choose to replace the concept of truth with the concept of verification, but we can’t claim to analyze the former by the latter. Simply put, verification is a temporal concept but truth is not. Such ideas as that truth is an “epistemic concept” fail because of this obvious point: evidence gathering is essentially temporal but truth is essential atemporal (in the sense intended here).

            The same goes for pragmatist theories of truth that seek to identify truth with something like “convergence of inquirers’ beliefs in the long run” or “what leads to human satisfaction”. These things also take time, sometimes a lot of time, but truth takes no time. Any theory that identifies truth with the effects of belief will fall foul of this point, since effects occur subsequently and are spread out in time.  Statements are true or false at the time you make them, depending on the facts, not at some later time. Intuitively, the facts immediately stamp propositions as true or false at the time they obtain no matter what the future holds; so any theory of truth that ties it to future facts will fail. Of course, our judgments of truth are enmeshed in time, being dependent on verification procedures, but truth itself is not—truth itself depends entirely on the prevailing facts (and suitable truth bearers). Truth comes straight from the world in the blink of an eye (so to speak). It is a peculiar property in this respect, and maybe a puzzling one, but any theory of truth needs to accommodate it.[1]

 

[1] We could add to Tarski’s famous formula the following truth about truth: “snow is white” is true at the moment that snow is white. It would be different if snow had to send a signal to the sentence to inform it that snow is white, since that would take time. No, truth is conferred on the sentence at the very second the fact obtains.

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Action As Externalization

 

Action As Externalization

 

The causal theory of action says that actions consist of a causal link between an inner mental state (a reason, an intention, a willing) and a piece of behavior (an arm rising, flicking the switch). The mental state causes the behavior in the same way a tap on the knee can cause the lower leg to rise quickly (patellar reflex). Acts of speech, say, are composed of an internal state of intending or trying or simply desiring and the distinct event of vocal utterance, where the former causes the latter. But this omits an important aspect of action: the fact that behavior often externalizes states of mind—expresses them, manifests them, embodies them. Dance and song can externalize inner mental states, and speech behavior can externalize states of mind. Language can and does externalize thought (as well as desire and emotion). The body puts the mind into the public realm. It isn’t just that the mind operates to cause behavior, as measles causes a rash; behavior can be the outward expression of mind. This expression relation is not merely a causal relation; it is more intimate than that. The psychophysical system has the capacity to generate externalizations—bodying forth, as it were. No doubt this idea is difficult to articulate, but it appears to be a real phenomenon—which is why we often express ourselves in these terms. As perception internalizes its object, so action externalizes the inner states that lead to it. Ordinary human behavior is not a mental blank; it has mind inscribed on it. We may not understand how this can be but we readily talk this way. A theory of action needs to find room for it—and the usual causal theory falls short of achieving this.

            Spoken language externalizes internal language, the kind that deals with thought.[1] So it is natural to suppose that we possess two languages—a language of thought and a language of communication. Generalizing this point, we can say that non-linguistic action constitutes a kind of second mind—externalized mind. This mind is derivative on internal mind, as communicative language is derivative on cognitive language; but both can be described as mind made external. What we think of as external behavior is mentally imbued: for it is expressive of the inner, not merely causally connected to it. Thus the mind has the power to externalize itself in overt action, extending its reach beyond the private sphere (“the externalized mind”). Just as spoken words have meaning, in addition to words in inner speech, so actions in general are mentally endowed in virtue of the externalization exerted by the mind. Among the mind’s powers is its ability to transfer itself to the body. It isn’t that action is just mindless movement caused by a mental substratum; rather, it is the mind in action, so to speak. So the idea of a double mind, like the idea of a double language, comes to seem natural and attractive. This is another way of expressing the familiar point that the right conception of behavior is mentally defined. It is the process or act of externalization that enables the mind to spread itself to the body, which now becomes a site of mentality. The gap between mind and body is not as rigid as tradition has supposed. This is because behavior is not just caused by the mind but also the externalization of the mind—a much closer relation. Our paradigm of action should be singing and dancing not arms rising because of sudden urges (as if the movement is merely triggered). Behavior is not the non-mental effect of mind but a species of mindedness in its own right.

            As the mind externalizes itself in the body, so in turn it internalizes the result: we are aware of our own body in acts of perception (including proprioception). A singer is aware of herself singing and a dancer is aware of her own movement. Given that perception is a type of internalization, we can say that the mind internalizes its own externalizations. This may lead to further externalizations as the agent modulates her behavior according to what she perceives: for example, the singer might adjust her volume and pitch according to what she hears. So controlled action is rightly seen as a process of externalization and internalization: first the mind pushes itself outward, then it internalizes the result of this act, leading to further externalizations. It’s a feedback loop, to use cybernetic jargon; but the language of externalization and internalization better captures the nature of the process in question. There is no comparable process in non-mental cybernetic systems such as thermostats: these are devoid of the operations we are calling internalization and externalization. A psychology based on the latter concepts is more appropriate for systems that genuinely perceive and act. So we should drop talk of stimulus and response and replace it with talk of internalization and externalization; and the same for the terminology of cybernetics. Perception allows the organism to take in the world, and action allows the organism to project the mind into the body: this is the conceptual framework within which to view psychology, animal and human. It isn’t old-fashioned behaviorism, and it isn’t modern cognitive science; it’s a view of the behaving organism that emphasizes the twin powers of the mind to take in and give out. The mind is forever internalizing and externalizing, not being stimulated and responding.

[1] Here I am assuming, not defending, the perspective on language favored by Chomsky and Fodor.

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Perception As Internalization

 

Perception As Internalization

 

We have become accustomed to thinking of perception as a type of causal relation, sharing its logical (metaphysical) features. As earthquakes cause buildings to collapse, so external objects cause experiences to occur. Cause and effect are external to each other; neither is contained in the other. But this picture fails to accommodate the fact that perception internalizes its object in roughly the sense in which the mind internalizes a surrounding language or culture or moral system.  When you see an object that object is external to you but it comes to play the role of an internal object in your mind: it comes to “live” in your mind, to be part of the mind’s landscape, to operate as a mental constituent. For example, your perception of your mother produces an inner object that has a particular significance for you, a particular potency. The external object becomes an intentional object, an object for you. Thus it is natural to speak of a process of internalization, as psychologists often do. In general when you sense an external object an act of internalization occurs, the upshot of which is that something is added to your mental resources. Perception, then, is not just a cause-effect relation, but something more intimate. The external object becomes part of the perceiver’s mental world, not merely the trigger of the experience it leads to. We should therefore not model the perceptual process on typical causal sequences; rather, there is an act of internalization that transcends the usual causal relation (this is not to deny that causation is part of the picture).

            In any process of internalization some sort of boundary must be crossed, as in the membrane of a cell through which nutrients may be absorbed. So the mind must have a boundary that is crossed when an object is internalized. Presumably it is not a spatial boundary, under any conception of space that we can understand. There is a point at which an object passes into the mind (though this passing is not a form of travelling through space). We have no clear idea of what such a boundary consists in (or of), but it must exist if it is correct to speak of perceptual internalization. At one time the object existed outside of the boundary; at a later time the object has become part of a mental landscape. The mind has the capacity to include things within its boundaries. Perception is the most basic way this happens. It doesn’t happen in the case of innate or pre-existing mental contents: here there is no transition from outer to inner, since there was no act of internalization. The word “perception” should be taken in a broad sense: the mind can perceive and internalize music, one’s own body (proprioception), moral codes, universals, and works of art, among other things. How this happens, and how the brain underpins it, is not easy to understand (it might even be a deep mystery), but it evidently occurs, and it is essential to the nature of perception. One might think of it as a process of de-alienation: the alien other becomes one’s own. This is a richer operation than any envisaged by a purely causal account of perception.

            Brentano had the idea, not merely that mental states have objects, but that these objects are internal to their identity (“intentional inexistence”). We can add to that insight the thought that perceptual intentionality arises by a process of internalization. The external object is internalized in perception thereby becoming an inner intentional object. What that external object is exactly is a matter for further decision: is it the material thing itself, much of which is imperceptible to the perceiver, or is it limited to aspects of the object that can be perceived (or are being perceived)? Perhaps the internalized object should be identified with certain of the properties of the external physical thing—aspects of objects not whole objects. When you are perceptually acquainted with a table, say, the internalized entity is really an aspect of the table, i.e. a subset of its properties. Strictly speaking, then, internalization acts on universals (or whatever you think is immediately presented when an object is perceived). In any case, we have this rather mystifying act of internalization that converts a non-mental entity into something native to the mind. Perceiving is thus more than merely an external object causing an experience; it essentially involves internalizing the object in experience.[1]

 

Col

[1] It is strange that the philosophy of perception, from the sense datum theory to the causal theory, has not recognized the centrality of the notion of internalization, given that it is such a natural intuitive way to think of perception. Isn’t it obvious that when you see something that thing comes to be an item in your inner world—part of your Dasein? It enters your memory and imagination, forming a constituent of your world-view. Such “object relations” (to use Melanie Klein’s phrase) are the stuff of psychology. Learning itself is really a matter of internalization (empiricism says that all knowledge arises by internalization).

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Ed Erwin Again

Ed Erwin Again

 

It’s nice to receive two laudatory messages about Ed Erwin from Michael Tooley and Alan Goldman, both old colleagues of Ed’s at Miami (now posted under my brief notice of his death in May 2022). I observe, however, that neither the Brian Leiter blog nor Daily Nous has posted any notice of his death. I wonder why. Has no one informed them of it or have they decided not to mention it? Is the Miami philosophy department responsible or have they simply chosen to omit it? It seems very strange to me, though depressingly predictable.

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Concepts and Philosophical Puzzlement

 

 

Concepts and Philosophical Puzzlement

 

Michael Dummett has suggested that philosophical puzzlement is caused by our “imperfect mastery” of our concepts (he is by no means the only person to think this way).[1] He gives the example of the concepts past and future: we understand these concepts well enough to make judgments about the past and future of an ordinary kind, but if we ask ourselves why cannot affect the past as we can affect the future we find ourselves puzzled. The reason for this, he says, echoing Wittgenstein, is that we don’t “command a clear view” of the concepts past and future. That is, we have only an “imperfect mastery” of these concepts—a partial mastery, a tenuous grasp, a limited understanding. There is something about them we fail to grasp, and this failure generates perplexity. Such a view contrasts with the idea that we have a limited understanding of the world beyond concepts: we fail to grasp important aspects of reality not our conceptual representation of it; and this is what generates philosophical perplexity. Dummett gives the example of quantum theory: here we have an effective theory for making predictions but we have no satisfactory interpretation of the theory. Some may say this is because we lack knowledge of quantum reality itself; others may say we lack an adequate grasp of the concepts of quantum theory (analytical knowledge not empirical knowledge). Dummett is proposing that philosophical perplexity arises from a deficit in our knowledge of our own concepts not from a deficit in our knowledge of what these concepts are about (sense not reference, in effect).

            This thesis raises some interesting questions. Is the thesis true of all concepts or only some? Do we have perfect mastery of some of our concepts, so that no philosophical puzzlement is occasioned by them? Which are they? Are there degrees of imperfection in our mastery of concepts—are some very imperfectly grasped while others are only mildly so? Are there concepts we possess that we have no understanding of—concepts we can’t use at all? If that is impossible, what about concepts that are almost completely opaque to us? How deep can the imperfection in our mastery go? And why should this be so—why should our concepts lack in transparency? After all, they exist in our minds and we use them in our conscious thought, so why should our grasp of them be so imperfect? Why would nature (or God: Dummett was a Catholic) design us this way? Bear in mind that concepts constitute the meaning of words, so that Dummett’s thesis applies to them too—we have imperfect mastery of the meaning of our own words. We lack knowledge of these meanings; we are ignorant of what we mean by our own words. By contrast there is no paradox in the idea that we are ignorant of the world beyond our conceiving minds—time itself in the case Dummett cites. But it is surely strange to think that our own concepts and meanings are routinely closed off from our knowledge of them. If some philosophical problems are insoluble that would imply that we can never gain access to the content of our own concepts; maybe so, but the idea requires careful consideration. It seems to imply the existence of a vast conceptual unconscious—all the stuff that we fail to know consciously when we employ concepts. Why does this unconscious exist? How inaccessible is it? How is it connected to our conscious thought? Our concepts allow us to make intelligent judgments, both practical and theoretical, but they refuse to allow us to make philosophical judgments (or judgments that command general assent). This is curious to say the least.

            I don’t say the whole idea is preposterous; indeed I think it raises interesting questions about the nature of conscious thought and the concepts it invokes. But it is not an idea to be thrown out without due consideration. No one would think a comparable thesis holds for the case of other subjects: physics, chemistry, biology, psychology, geography, etc. Here the difficulties stem not from our imperfect mastery of the relevant concepts but from our ignorance of the extra-conceptual world.[2]

 

[1] My source for this is a lecture on philosophy of mathematics given by Dummett many years ago (and now available on YouTube).

[2] Once you make the linguistic turn you are bound to find the difficulty of philosophy to arise from the inscrutability of language, i.e. the elusiveness of our concepts.   

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What is Mathematics About?

 

 

What is Mathematics About?

 

Various suggestions have been made about this question: mathematics is about symbols, or mental constructions, or abstract Platonic entities. We can also ask what physics is about and expect a variety of answers: the sensations of the physicist, mind-independent material bodies, an all-pervading consciousness, abstract structure. In the physics case another answer has sometimes been contemplated: physics is about something whose nature we do not know and perhaps cannot know. This usually gets expressed as the thought that matter is an I-know-not-what, a mysterious substratum, a noumenal thingummy. We may know something of its structure and its mode of operation but we don’t know its inner nature. But I don’t know of any analogous view of the subject matter of mathematics: the view that mathematics is about something unknown to us yet partially described by our mathematical theories. Arithmetic, say, aptly represents the structure of mathematical reality, but nothing in it provides a clue about what numbers really are; nor do we have access to anything else that informs us of the nature of number. Thus we have agnostic realism about the mathematical world: numbers are real but we must be agnostic about the intrinsic character of numbers—as we must be agnostic about the true nature of what we call “matter”. Maybe physics and mathematics are ultimately about the same thing, but if so we are ignorant of what that thing is. The advantage of this way of thinking, in both areas, is that it allows us to avoid being forced into unpalatable positions: none of the standard positions is free of difficulty, and at least the agnostic realist position avoids these difficulties. Certainly the long history of mathematics gives the impression of people stabbing in the dark unaware of the vast mathematical world that would later be revealed; the very idea that mathematics has a subject matter would be alien to these early thinkers.[1] The reason is simply that we are not faced with any such subject matter by our senses or by anything else. There is a subject matter to mathematics, objectively real and determinate, but we have next to no knowledge of its ultimate nature; we don’t grasp the underlying mathematical reality (that very concept may be inadequate to its intended referent). The numerals we use are just symbols for we-know-not-what, mere placeholders. That, at any rate, sounds like an option to be added to the usual options. Call it mathematical agnosticism.           

[1] See for example Dirk. J. Struik, A Concise History of Mathematics (1987), which begins 10,000 years ago. Perhaps the earliest mathematicians would say that its subject matter consists of cows and corn, friends and foes.

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Extended Ban

Extended Ban

 

A thought occurs to me: would other university administrators take a similar line? I have to admit that the idea that I would ever be forbidden to attend an academic gathering never entered my head, but that is the reality I now face. So far as I know it is unprecedented. But what about other institutions—would they also ban me? I haven’t been to a philosophy talk in the USA in nine years, so I don’t know. If I proposed to attend a colloquium at some other American university, would I be forbidden from attending? The question divides into three parts: would university administrators ban me, would faculty ban me, and would students ban me? Certainly I have not been invited to give a talk at an American university since 2013, but what about my attending someone else’s talk? What precise grounds could be given for such a ban? None that I can think of, but that doesn’t seem to matter. One would think that the position of the University of Miami would generalize, so that other places would have equal grounds for keeping me out—for example, if I was a deemed dangerous. Or would the mere possibility of protest be sufficient to have me banned? I really don’t know—and that says a lot. Perhaps I should do an experiment and mention to (say) NYU that I plan to attend a colloquium of theirs: what would happen? Would administrators step in to threaten me with expulsion? Would the faculty advise me that I am not welcome? Would the students rise up in protest? The terrible truth is that all these things strike me now as eminently possible. What a world we live in. I expect no improvement in 2023.

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