Personal Identity and Existential Quantification

We’ll begin with a brief survey of a problem raised by Derek Parfit about the nature of personal identity, then we move swiftly to consider whether such problems can motivate a plurality of distinct existential quantifiers and orders of explanation.

The question of personal identity begins with a thought experiment. Imagine teleportation technology exists such that entry into a teleportation pod involves the slow destruction of your physical body (through radiation poisoning) and the (immediate) reconstruction of an identical healthy body within another pod at the destination. The process is such that upon reconstruction, the individual at the destination has retained all of your physical and mental characteristics, they have your memories, instincts, attributes and desires. The question remains; are you dead and cloned or alive and arrived?

Two Criteria of Personal Identity

The first criterion we shall examine is the notion that identity is determined by physical continuity. The intuition is best compounded by insight that a white billiard ball can undergo a cosmetic change by being painting red. Another comment on cosmetic alterations gives the lie to idea that any significant change has occurred. You can put lipstick a pig, but it remains a pig regardless. This image is somewhat more visceral, but the same idea underwrites both scenarios. That said, there are some complications in the case of personal identity. If your identity is fully and only determined by your physical constitution, then is there a point of physical change which would constitute a shift in personal identity? Suppose that your beliefs, desires, memories and intentions are fully fixed by an arrangement of brain states, then can brain damage impact the existence of your person-hood? Parfit glosses these concerns as follows:

What is necessary [for personal identity] is not the continued existence of the whole body, but (1) the continued existence of enough of the brain to be the brain of a living person. X today is one and the same person as Y at some point in time if and only if (2) enough of Y’s brain continued to exist, and is now X’s brain and (3) this physical continuity has not taken a “branching” form. (4) Personal identity over time just consists in the holding of facts (2) and (3).

We say an object’s continuity takes a branching form if the same physical continuity can be ascribed to more than one object. For instance if at some point an object is disassembled and then later two objects are assembled physically identical to initial object. Hence if we take physical continuity in this sense as a measure of personal identity then the teleportation thought experiment involves little more than death and cloning, without a preservation of personal identity. The same physical continuity can be ascribed to myself and my clone for the brief time in which we exist simultaneously.

If instead we look to the psychological criterion of personal identity things are a little more subtle. Here the idea that is personal identity involve a certain kind of psychological connectedness over time. Again you might think brain damage is a concern where amnesia could sufficiently devastate the concepts of self, desires and belief in such a way as to entirely destabilize the psychological connectedness for an individual between two points t_{1} and t_{2}. So construed the core issue is that of the stability of a psychological connectedness over time. The loss of such connectedness is arguably recoverable if the condition impacting your sense of self, belief and desires is medically induced. In a very real sense you can take time off from yourself if you’re prepared to indulge in sufficiently mind altering drugs.

Distinguish between your sense of self yesterday and the sense of self you had when four, and so note that we need to distinguish the strength of the relation for psychological connectedness. Let’s define a notion of psychological continuity in terms of overlapping links of strong psychological connectedness. Whatever the locus of our sense of self, there are experiences which cause the generation of such a feeling, that nevertheless diminishes over time. So with this in mind Parfit puts forward the following suggestion:

There is a psychological continuity if and only if there are overlapping chains of strong connectedness. X today is one and the same person as Y at some past time if and only if (1) X is psychologically continuous with Y, (2) this continuity has the right kind of cause, (3) it has not taken a “branching” form. Personal identity just holds in satisfying (1) – (3).

The “right kind of cause” is deliberately ambiguous since the explanation of subjective self experience is not yet well understood in terms of the physical neuro-chemical description of psychological states. For discussion see here. The physical criterion ensures that there is no such thing as personhood over and above physical continuity, while the psychological criterion is more ontologically generous, but both of these characterizations are to be considered provisional as we will come to reconsider the importance of non-branching continuity. For the moment, note that the psychological criterion allows that there is such a thing as personhood for particular individuals in absence of physical continuity if the psychological state transfers over teleportation. This gels well with legal description of individuals within a state body who are ascribed rights after physical death and incineration. But is there something fanciful and needlessly metaphysical about such a view? Are persons merely a necessary fiction motivated to supply lawyers with clients?

Fundamentality: Restricted or Generic Quantification

Traditional existential claims have been considered univocal. There is (it’s often assumed) very little ambiguity attached to existential claims. However, if we accept that persons exist over and above their physical instantiation, then there seems to be a distinction between the claim that \exists x F(x) where F : = F_{1} \wedge F_{2} .... \wedge F_{n} is a complex descriptive predicate circumscribing the location and physical continuity of the individual over time, and the claim that \exists x P(x) where P is the “…is a person” predicate. Now since the quantifier ranges over a given domain, we ought to consider the components of that domain. In particular, we ought to consider whether the domain of quantification contains persons fundamentally , or whether personhood is some kind of abstraction over and above observations of kinds of continuity amongst more primitive physical/psychological states?

On the assumption that existential claims are univocal, then the contention that persons exist is exactly the claim \exists x Px. However, if we wish to distinguish between the physical ontological primitives and persons, then personhood can be identified with a property described in physical terms akin to the claim that \exists P \forall x (Fx \rightarrow Px), but this arguably reverses the order of definition. We might instead accept the existence of persons and seek to explain their occurrence.

If we start with primitive restricted quantifiers and the assumption that existence claims are polysemous, then we make sense of the idea that claims about the existence of God and the existence of the Pope involve distinct considerations of proof and evidence. With this in mind you might want to distinguish between the generic existential quantifier which covers both God and his mouthpiece; \exists x, y (x = g \wedge Pope(y)) and the restricted quantifiers for abstractions and concrete entities: \Big( \exists x_{abs}(x = g) \wedge \exists y_{conc} (Pope(y)) \Big). Further fine grained distinctions could be made, if for instance you wanted to mark the difference between legal and mathematical abstractions or biological and chemical entities. On a purely semantic understanding the generic quantifier can be as readily understood as the disjunction of the more restricted quantifiers or the restricted quantifiers can be understood (unsurprisingly) as the restriction of the generic quantifier. But if we allow that the restricted quantifiers are ontologically more primitive such that we have \exists x_{person} (x = y) \Leftrightarrow \exists x (x = y \wedge Py) as ontologically basic and semantically uncontested then it is a discovery that there exists a property definitive of person hood i.e. that \exists F, \forall x_{person} (Px \leftrightarrow Fx). Minimally I take it that this approach better fits with the natural ontological attitude.

The vocabulary in which F is defined can be more or less ontologically primitive than the “personhood”-vocabulary. The desire to streamline our ontological concerns would involve subsuming (by means of structurally relating) the entities of the higher-order ontologies within the class of entities definable in terms of ontological primitives. We currently have a structure something like the following:

Domains of E

In this map I have supplied a tentative categorization of the relations between some existential domains; linking the physical and psychological domains with the quantum level, and allowing the domain of persons to arise from characterisations in both the more primitive domains. The general point is that if we can define the property F in terms of physical and relational predicates describable in the vocabulary of physics and neuro-chemistry then we have established a translation manual between the two domains of ontological concern. But many such translation manuals can be defined. For instance, instead of defining a person in terms of their physical constitution and continuity, we might seek to define a person in terms of their moral responsibilities in domain where individual rights, obligations and moral actors exist. The instinct to reconcile two such domains is common because we seek simplicity, but reconciliation is not necessarily possible. Some questions naturally arise: Do we need reconciliation? Is there an infinite plurality of nested ontological quantifiers? Can we reduce each claim in some ontological domain D into equivalent claims in another ontological domains D^{*} perhaps more primitive? How are the ontological domains ordered? Is there any partial overlap between domains that would make existential claims directly ambiguous?  Are some ontological domains simply mutually exclusive? Should this incompatibility trouble us?

A Case for Univocal Existential Quantification

But before considering these questions you might object that our notion of a plurality of quantifiers is entirely bankrupt! One such argument from Peter van Inwagen purports to show that existence must be univocal. The main premise of the argument is that the notion of existence is related to number, and the argument stems from the fact that number is univocal. To see this first consider how an existential claim relating to a particular entity is just the assertion that the number of said entities is positive. Now compare the number of  gods and the number of round squares. The number is identical since none exist. More positively, the number of horses is not zero, is equivalent to the claim that horses exist. In other words, define a predicate N_{H}(x, 0) := ((N(x) = m \wedge H(x)) \wedge m \neq 0), then:

\exists x (H(x)) \leftrightarrow N_{H}(x, 0)

Hence, by translation and the fact that numeric statements are not ambiguous the notion of existence cannot be polysemous. This argument is based on the view that extensional equivalence underwrites all semantics. However, if we argue that the polysemous nature of the existential quantifier depends on an intensional variance, then no such conclusion follows. However such a route undermines the idea of de re ontology we are engaged in. Nevertheless, we do not need to be concerned by the argument, because we can tolerate the idea that the notion of existence comes in the form of generic and restricted quantifiers, where the domain of the restricted quantifier is a proper subclass of the domain of the generic existential quantifier. The behavior of the semantics for \exists will not change, but the open question for any candidate ontological domain which falls under a restricted quantifier \exists_{???}, is whether this domain can be fitted into our best theory of world. Does the ontological structure of a theory in which \exists_{???} is included, carve the world at the joints? If not, are there more pragmatic reasons for maintaining the theory with its current ontological baggage?

No matter how we would seek to define personhood we need to invoke the existence of a property, such that the second order quantifier is appropriately indexed to a base vocabulary in which our candidate definition is expressible. So assuming there is a good candidate expressed in terms of psychological/physical continuity, we would have something like: \exists F_{psy/phy} \forall x_{persons} ( Px \leftrightarrow Fx). The challenge is to discover the existence of F and thereby clarify the structure in which the ontological domains are ordered. Until such a time as the structure has been delineated what cause have we to assume the character of such an ordering will ultimately see personhood defined in terms of a psychological or physical continuity? The broader moral is that the semantics for “existence” can be seen to evolve with the structure of available theory, the semantics for the generic \exists is as liberal as the disjunction of its sub-domains allows.*

Permissive Ontologies?

While our characterization of the discipline of ontology might seem to be overly permissive, we shall show that the concern for internal consistency is as pertinent as ever, thus providing a restriction on the plurality of entities admitted by our best theory. Staying with the subject of personhood we consider an argument against cartesian dualism and the ontology of separately existing mental entities.

The idea is that there is a unified subject of experience, a distinct entity – the referent for every use of the term “I”. This entity is who I am but exists over and above my physical instantiation. How can we argue for the existence of such a creature? The standard Cartesian argument that “I think therefore I am” is less than decisive since the possibility of thought presupposes the existence of a thinker, but not the character of the thinking agent. Even if the subjective unity of experience, the coherence of appearance in each instance allowed us to identify ourselves as the subject of that experience, we could not ensure that this subject of experience continued to exist moment after moment. The sense of self which accompanies the immediate experience does not imply the persistence of the subject of experience. At best we are aware of the psychological continuity in terms of our memories of our attitudes and desires over time. Hence the Cartesian subject is an extraneous somewhat poorly motivated ontological posit.

Worse Descartes’ cogito observation at best illustrates that thinking occurs, but it is only a contingent fact that we ascribe thoughts to thinkers. Strictly speaking we could eliminate talk of thinkers is if we could locate thoughts in an impersonal level of description, such as brain activity. Consider Parfit’s reincarnation argument. If a Japanese woman had verifiable memories of her life as a Celtic warrior, then we should distinguish between beliefs as carriers of memories in a brain, and beliefs proper, perhaps as ideas in the mind of a Cartesian subject. The reincarnation possibility would provide evidence for the existence of the Cartesian subject, but it depends on the viability of verifying the reincarnation possibility. Similar remarks apply to cases of brain damage which should (given all we know about memory retainment) wipe the memories from the mind of an individual but for some reason as yet undiscovered do not. Both these possibilities are implausible and the latter points, at worst, only to a gap in our knowledge of the brain, not the need for Cartesian dualism.

So what then does the term “I” refer to? Does the term have extension in the domain of the \exists. quantifier? The simple answer is yes, if the domain contains a restriction for the class of persons. The answer is a little more complicated if we do not allow this simplification. Nagel, for instance, takes the extension of the term “I” to be exactly the brain of each individual. But we can consider a kind of Kantian argument that the notion of personhood is indispensable to our conception/knowledge of the world. Everything we know about about the world is filtered or mediated via our position in the world i.e. specified in relation to the type of entity we take ourselves to be. Hence any knowledge we have of the world is impossible without the supposition of personal identity. The premises of this argument are more extensive than we have space to elaborate, but for brevity’s sake consider the role of thought experiment in experiment design and the manner in which possibility of personal observation guides thought experiment and therefore the process of scientific rigor. Scientific discovery works and is of value, and since the assumption of persons is indispensable to scientific discovery then it is of value. Such reasoning persuasively underwrites the posit of persons, but it says nothing of their identity conditions.

Identity Conditions and Reductive Explanations

Quine’s doctrine of “no entity without identity” might be thought to apply here. So we should consider whether the physical and psychological criterions of personhood run afoul of certain counterexamples. We consider an argument by Williams to show that the continuity criteria are defeasible, and then argue that that this is no bar to ontological commitment.

Consider the idea that I enter into an experiment where a mad scientist (i) manipulates my memories successively with an increasing range of changes and (ii) exposes me to a constant stream of brutal and agonising pain. With each change of memory we observe that there is an interruption (of an increasing degree) to my psychological continuity, however the continuation of my pain seems to promote the intuition that “I” remain suffering. Like the Sorites paradox this leads from plausible premises to an absurd conclusion. No matter that disparity between my memories of who I am before I enter the experiment and who I am afterwards, we must conclude I am the same person who began the experiment. This is absurd, since by suitably extensive manipulation of my memories I can come to believe anything about my past, desires and ambitions. The idea coming out of this thought experiment is that the degree of psychological connectedness over moments varies with the “features” manipulated and the notion of which “features” are preserved is central to estimates of personal identity. In particular  this is about the strength of feeling versus the import of “core” memories for establishment of personal identity. Hence in any estimate over whether “I” survive the scientist’s manipulations we might want to draw a line; ranking how the intensity and duration of my pain versus the importance of some “crucial” sense of self-identity based on memory, fits into a categorical description of who I am. This line is unavoidably arbitrary.

Questions about whether I survive can be asked at any stage in the process of the scientist’s manipulations, and not all stages will have a definite answer. But given the importance that the role of personal identity has in our conception of the world we cannot tolerate such agnosticism, hence Williams argues we are better off accepting that the referent of the term “I” is simply the brain of that individual, then no matter the range of psychology disparity at least we can answer the question positively. I survive the experiment; I am “a changed man” but ultimately the same person. However, the Sorites line of argument applies equally to this physical criterion. Imagine a science fiction case where we apply a Theseus’ ship scenario by swapping out my body parts 1% at a time while maintaining the constant sense of pain. William’s absurd conclusion follows again. Hence we cannot simply take refuge in the notion that the brain is to be identified with our personhood. The sum of arguments seems to suggest that there is no fixed criterion of personal identity. Do you then follow Quine and claim there are no such entities? Or revert to Cartesian metaphysics?

Neither, we reject Quine’s doctrine and deny the Cartesian cosmos. We accept a form of reductionism where personhood supervenes on the physical and psychological facts and we allow that changes in the latter amounts to changes in the former, but feel no need to overly specify what particularities constitute our personhood at any particular moment. Contextual considerations about the phenomenal experience of self (and indeed other) will be our best guide to determine the weight of the particular psychological or physical features on which personal identity supervenes. We are ontologically generous but ultimately undogmatic in self description. Similarly we could generalize this view and say that personhood is property of objects that can be seen to supervene on a host of more primitive conditions e.g. say \exists M \forall x (Person(x) \leftrightarrow M(x)), where M is the property of being a moral agent, we could allow a reductive analysis of personhood in terms of moral agency. In this instance the right kind of continuity would be the history of the individual’s moral action and inaction. In this way I reject the idea that personal identity is suitably defined by straightforward physicalist reductions, and allow that personal identity can evolve in various ways. For Parfit personal identity is tied to the relation R of psychological/physical continuity, but I simply allow the key notion is the reduction applied and the reference of the term “I” is contextually individuated by the relation of reduction we appeal to in each scenario. We motivate a generous interpretation of \exists by means of pragmatic considerations about the point of such an ontological posit, in the role of various explanatory projects.

Why Identity is not what Matters

Identity doesn’t matter because it’s never been fixed anyway; physical/psychological continuity tolerate interruption and change.To see this reconsider the teleportation thought experiment re-jigged.

Instead of materializing at one location, let there be two pods in which two individuals appear both psychologically continuous with me but in different scenic locales. As before, the initial traveller dies from massive radiation exposure but my psychological concerns continue unabated in the two agents a_{1}, a_{2} physically identical. Now if Identity matters then it is crucial that we are able to say (a) if I survived and (b) whether I am a_{1} or a_{2}? The defender of the claim that identity matters will be hard pressed to pick (b) whether I survived as either a_{1} or a_{2} and such an inability casts doubt on (a) whether I survived at all. But since it is possible that psychological continuity can be (mildly) interrupted without impacting our attributions of personal identity, this fictional scenario of division poses a genuine problem for the identity theorist. For the reductionist, the question of my survival is vacuous. All that can be said is what the thought experiment describes; my physical and psychological state of existence ended, and then continued anew albeit doubly instantiated. We know all that happened. The identity theorist seems to hanker like the Cartesian dualist for a bigger answer, an essential character trait preserved over only the true “me” – but this is a misplaced metaphysical instinct.

You might object that this doubling of “self” does not fit the logic of an identity relation, so there is a structural flaw in the thought experiment. It is no longer about personal identity but personal “possession”. In the scenario I can be seen as a virus inhabiting bodies not my own. Or put another way, the relation of identity should be one to one, so as to disallow branching instances of psychological continuity. Parfit responds, that if this concern is valid then the one to one feature of the personal identity relation must add something significant to the notion of personal identity over and above the instantiation of “mere” continuity. In this respect we could try to imagine possible scenarios wherein we place my two dopplegangers, and a third clone created by a teleportation device which only copies one instance of who I am (i.e. ensures that the relation is one to one). Given their identical psychological and physical traits each of the three is modally and behaviorally indistinguishable from the other, so what has the insistence on a one to one relation achieved? Nothing. Our constantly novel subjective experience preserves enough of our past concerns and traits to establish the strong connectedness and continuity that the attribution of personal identity aims to pick out. Nothing more need be added.

Identity does not matter because death by teleportation is not qualitatively different from ordinary survival. At worst it’s like a short nap. If you can be recognized (and recognize yourself) before and after bed, by any criteria whatsoever, then the same is true of teleportation. This is in a effect a concession that the relation of personal identity is founded on a non-strict, or contingent and evolving series of reductive self-interpretations.

Conclusions: What does matter?

Parfit’s breadth of thought on this topic is vast and we’ve only really glossed the crucial arguments. That said, this is a fair presentation of the argumentation, and I take it to have established the idea that the (1) persons are not Cartesian egos, (2) the existence of persons is a well motivated existential posit, (3) the existential claims can be defended by the establishment of particular supervenience relations which trace the evolution of appropriate features. Or put more formally we could say that the intensional semantics for “I” picks out at each context, one of a class of candidate reductions, (4) the domain of \exists is best seen to be evolving in so far as the semantics of “existence” will not be settled until everything dies, (5) the attempts to undermine the variety of reductionist cases by arguments for the determinacy of identity are insufficient, hence do not pose a problem for our tolerance of multiple explanatory relations.

It remains to suggest (6) that there are practical reasons for maintaining an ontology rich with indistinct persons. Unfortunately, the scope of these considerations are vast and depend upon details of moral theories. It will suffice for the moment that these arguments for the existence and specific character of persons liberates us from a conception of selves which have an inordinate focus on the importance for self-concern. For instance, moral theories of self-interest are placed on a much weaker footing since the interests of each person is not necessarily preserved over future and successive stages of the individual agents involved. We will return to consider the details of developing these concerns in a later post. An alternative argument (7) for this characterization of persons is that the role of explanation can be expanded to incorporate multiple reductive relations which track different properties as appropriate to the type of personal identity we wish to track. This is more faithful to the variety of explanatory projects which seek to use the notion of persons as fundamental. For instance, the explanation of personal responsibility is best sought by incorporating the expectation of free action in the psychological/moral characterisation of that person, whereas the explanation of innocence by reason of insanity might better appeal to the causal/deterministic characterisation of the person as the locus of certain inviolate physical processes. The ontological structure we have articulated allows us to incorporate this flexibility and does so in a principled manner sympathetic to the projects of Parfit and McDaniels.

 


* Our discussion of the existential quantification is deeply indebted to Kris McDaniel’s paper on “Ways of Being” in the Metametaphysics collection

 

14 thoughts on “Personal Identity and Existential Quantification

  1. Take the dual duplication experiment. There are now two of you that both have for themselves a particular place in their interpreted time in the world. There is only one place however, where there are now two to be it. Two have a property relations to their things, that only one can meaningfully own; they have their relation to their parents, that only gave birth to one; they have their relationship with themselves in so far as they interpret themselves to be a teacher or carpenter that practices their skills, at one school or workshop. etc.

    It seems that you might well find them fighting over who gets to keep the identity, the time and tools in which they get to practice their being, that is open now to two of them as meaningful; not merely in how they are, but also in how the world responds to them.

    Depending on the way they interpret themselves, you might find them fighting over their own existence. Own, not merely as owner, but to decide whether the way of existing that the one before the duplication had, will still be possible, or whether the world of that being collapsed on the two duplicates taking a different stance on the time they have in which to be.

    • You’re right that there is a question over who gets to keep my stuff, but this is more a question of social status than personal continuity or identity. Are you making the separate claim that perceived social status is all there is to personal identity?

      I have argued that there are various reductionist strategies to cash out the personal identity relation in terms of certain species of continuity, but I do not think the relation is a purely extrinsic relation. One reason to think that it’s not is that even if a everyone else comes to think of a child as worthless as the result of a bullying campaign, it does not follow that it is constitutive of the child’s personal identity that she is worthless. It might be different if she comes to think of herself and believe entirely that she is worthless, then there will be a psychological continuity preserved by an intrinsic relation over the dual duplication experiment. Personal identity on my construal is not an extrinsic relation.

      More to the point; the question of how they evolve in the world after duplication (in such a case where they fight over “my” things) is a question about their psychological/physical development and continuity. Only the insistence that personal identity be one to one requires that we distinguish who is more deserving of the label “me”, but I am not forced to make such a decision. I think a misplaced hankering for concrete Cartesian identity conditions of mental entities makes the choice seem important when it’s not. Neither clone is born of my parents directly but both might recall the same childhood; neither has a better claim of kinship. In practice, I imagine I would be reasonable enough to share “my” things with myself, but such a distribution is inessential to the question of personal continuity. This perspective highlights the idea that I am a locus of belief, choice and sensation not merely a possessor of static material relations.

      The question of how status and wealth is distributed might impact my subsequent development as people, but this is to be expected. The sense of personal identity evolves.

  2. Well, I was making the claim that you can’t divorce questions regarding the way we exist in the world, finding ourselves among entities that make sense to how we are, from our identity. Both for our social identity and our existential identity. We are who we are factically in our being in the world. It isn’t merely perceived social status, we are the being of a particular status, thus, the doing of what a teacher does. etc. To divorce them would be precisely to fall into Carticianism. It also wasn’t the claim that identity is merely a social relation. This is why I referred to their individual interpretation of _their_ time. Time not as seconds that flow, but as how what they interpret themselves to be, makes sense of their past, present and future.

    The reference to conditions in the world that they share with others, is that the background out of which they arose, is an element of what they are capable of interpreting themselves to be: you can’t be a car mechanic if you don’t have the skills to be one, nor can you reinterpret who your mother is, both are factical and hold open certain possibilities, certain ways in which you can be.

    The claim was that they had both already understand (in terms of acting themselves out) themselves to be whomever they have interpreted themselves to be, within a world, and that the world made available the resources through which to be that being. We couldn’t be car mechanics without cars, etc. And that this is one of the things, brought into issue after the experiment. They no longer merely cope with being themselves, but the very possibility of being themselves is brought into question in quite a radical way. If that way of being is to be preserved, then one must cease. They can reinterpret the meaning of their being, sure, this wasn’t denied it was mentioned. However, doing so radically transforms, and arguably ends, their old way of being.

    In the second paragraph I took this up in terms of their everyday existence, in the third I took it up existentially. They each have their own time, and their own freedom to be the kind of being they transcend towards in the way they for themselves make the world meaningful. If they have resolutely taken themselves to be something, and this possibility is closed off by their duplication, then their continuity through time as that being dies here. Sure, the temporality itself doesn’t end, it can reinterpret itself into a new understanding – they can become something else that makes sense, yet, no longer as they were but as a new beginning.

    • Absolutely. Of course duplication would involve a new beginning, and it would be restricted in some sense by the skills, memories and practical wealth you inherited, but I don’t take this to be a problem.

      The duplication experiment highlights only that there is nothing gained by insisting that the relation of personal identity be one to one.

      But say in your worst case scenario, one of my duplicates inherits all my things and social standing while the other is left homeless and shunned, maybe thrown in prison. This circumstance is no different from one in which I wake up tomorrow and a case of mistaken identity lands me in prison shunned for some heinous crime. I am still identifiable as myself (to myself) but the space of my own practical possibilities have changed due to contingencies of the world.

      How is this a problem unless I fundamentally identified myself with capacity to perform exactly as before? I suggest that such an image of self falls into the Cartesian error. Things are much more nebulous and the sense of self is not ever specified by the description of an exact capacity for reasons seen in the Sorites style argument of Williams.

  3. ‘Quine’s doctrine of “no entity without identity” might be thought to apply here.’

    I say that no entity without identity, and this means every entity must instantiate a rigid property with identity. I’ve described this as a methodological assumption. It is not, then, true of this/that ontology, but of all ontologies, if they are to serve their purpose. What is their purpose? To make modeling assumptions clear. You can’t have a property that does not carry identity, without having a property that does. For that matter, you cannot have a property that does not supply identity, withoug having a property that does.

    ‘Identity doesn’t matter because it’s never been fixed anyway; physical/psychological continuity tolerate interruption and change.’

    Without permanence within time, there is no corresponding concept of change, because it is only with respect to permanence that change can occur. That is, you know that changes must always occur in relation to a something which remains permanent. Fred has a haircut. The haircut is a change that has occured to him. The haircut is essentially a process happening to Fred. *Consequently*, substance is a necessary condition of the experience of change, and this is substance as defined as permanence of object. Substance/accident is an a priori pair of concepts, in that it cannot be thought away from your empirical concept of any object .

    The basis for these concepts(permanence/the transitory) is to be found in logic, specifically in the logical concepts of subject and predicate.

    ‘No matter how we would seek to define personhood we need to invoke the existence of a property, such that the second order quantifier is appropriately indexed to a base vocabulary in which our candidate definition is expressible.’

    Here, I’ll tarry to define ‘a person’ at the ontological level of the ‘intentional’. I’ll add a generic dependence relation linking this level, to its immediate inferior, the ‘biological’–a human body. This is to employ a notion of ontological levels; a human body, may be be linked in turn, to the ‘functional’ level, a biological organism, etc. We might go in the other direction as well. A company is at a ‘social’ ontological level, which may be linked to the intentional level –not just to a person, but maybe, for example, to a robot. These different ontological levels have their own style of ‘unity’. Such as, biological unity, and/or single intentional behavior. I’d be okay with pointing out that talking about the ‘intentional’ is somewhat risky and swift. But it is also useful, and well-nigh obligatory. You talk about details of processes going on (like, in our own skulls), like as if we don’t finess our ignorance of these details. I say that people are rational, this is quite obviously a first approximation. However, I also risk my life without a moment’s hesitation when I go out on the highway, confident that the oncoming cars are controlled by people who want to go on living, and know how to stay alive under most circumstances. It’s still a first approximation, of course.
    But I make sense of it, effortlessly, and usually, when I am suddenly thrust into a novel human scenario. This is thanks to my ability to see what people ought to believe, and ought to desire. This is an innate ability, and these are presumptions, that are second-nature. Occasionally, of course, one meets somebody who is self-destructive or insance (or merely blind, deaf). This requires considerable attention and more, but I take it that there is no controversy about the fecundity of your anticipations.

    ‘Nagel, for instance, takes the extension of the term “I” to be exactly the brain of each individual.’

    I’ll note that there are different kinds of identity criteria at these different levels, and also that every
    level that I’ve mentioned, would have non-extensional identity criteria.

    I’ll try to say a word about Parfit. He is singular in his meticulously rigorous and almost mathematical investigations into personal identity.

    Believing that since there is no adequate criterion of personal identity, people do not exist apart from their components. He is a reductionist. Argues that reality can be fully described impersonally.
    Individuals are nothing more than brains and bodies (but identity cannot be reduced to either).

    People exist in the same way that nations or clubs exist. To this I say, that they don’t. But also, that
    nations or clubs *do* exist. So do people.

    A key Parfitian question is: given the choice between surviving without psychological continuity and
    connectedness and dying but preserving *Relation R* through someone else’s future existence, which would you choose?

    Relation R is psychological connectedness of memory and character, and overlapping chains of strong connecteness–continuity. My own response to this, is that it is seemingly inspired by Star Trek and other science fiction, such as the teletransporter. And that’s fine, even entertaining, but what is its relevance to the point that identity is not as determinate as we often suppose it is?
    What does ‘determinate’ mean? To me, this is an inherently empirical notion, though he may be using the word differently. As an empirical notion, it’s stage of knowledge. As I say, no entities without identity, so there’s no way to figure this out, from empirical observation. To me, this kind of discussion looks like an Oxfordian pretending that he can’t think at all, and I’m easy to convince. It seems to get around to some notion that you can’t prove the soul, and of course that is true, but not news. we believe in these things because they are useful to us (and that, perhaps, *is* news, in some quarters).

    • “You can’t have a property that does not carry identity, without having a property that does. For that matter, you cannot have a property that does not supply identity, without having a property that does.”

      I think you’re confusing a discussion of the identity relation and the discussion of personal identity, I concede that there are properties that serve as markers for personal identity, but I reject the claim that our personal identity is forever linked to these properties. Whereas in mathematics if we define an identity as being linked with a particular property (indiscernability of identicals), then this property is definitional in a sense, and certainly static. However personal identity (I claim) would never be defined with reference to a particular property in perpetuity.

      ________________________________________________________________

      “Without permanence within time, there is no corresponding concept of change, because it is only with respect to permanence that change can occur. That is, you know that changes must always occur in relation to a something which remains permanent.”

      This poses no problem at all. I concede that there are recognition conditions for a given individual, and these are suitably stable to allow informative property ascription, but the object is intensionally individuated by an internal relation of self description subject to contextual change. Parfit’s project is to allow that a person is largely self-identified with physical/psychological continuity, in that he provides a reduction of the former to the latter… but even he admits these criterion for self-individuation are defeasible as in the Sorites arguments. My suggestion is that we can deliberately supplant each criterion for self-description when we adopt an alternative reductive account of who it is that I am. A plurality of such accounts exist. For instance our ontological resources are rich enough for me to self-identify as a moral agent rather than a psychological unity. We adopt these identifying criteria and then may ascribe properties to ourselves on such a basis. But strictly speaking we don’t need recognition conditions to do so, we just need the name “I”.

      An alternative argument against insisting on the Quinean doctrine of strict identity in this case is that it leads to fruitless metaphysical searches for necessary and essential properties of individuals. This is to my mind a suitable reductio argument, but I guess you disagree.
      ________________________________________________

      “Individuals are nothing more than brains and bodies (but identity cannot be reduced to either).”

      Parfit argues for an ontology of persons (as do I) he argues that we might best think of personhood as a property of an object supervening on it’s physical/psychological features. But there is a domain of persons. Granted he claims all statements about persons can be reduced to statements about their physical/psychological states. I generalize this view and say that personhood is property of objects that can be seen to supervene on a host of more primitive conditions e.g. \exists M \forall x (Person(x) \leftrightarrow M(x)), where M is the property of being a moral agent. In this way I reject the idea that personal identity is suitably defined by straightforward physicalist reductions, and allow that personal identity can evolve in various ways. For Parfit personal identity is tied to the relation R of psychological/physical continuity, but I simply allow the key notion is the reduction applied and the reference of the term “I” is contextually individuated by the relation of reduction we appeal to in each scenario.

      But if by “identity” in the above quote you mean the equivalence relation, then there is some conceptual confusion I never intended to provide a reduction of the identity relation… so I have no clue what you mean.

      ______________________________________________________

      “[W]hat is its relevance to the point that identity is not as determinate as we often suppose it is?”

      The thought experiments about personal identity are not about the equivalence relation of strict mathematical identity at all. Parfit’s entire point is that notions of strict identity don’t even apply in the case considering personal identity! We are instead to consider the relation R as fundamental, but my point is that the sense of personal identity does not need to be related to the physical/psychological at all. For instance if we self identify as a moral agent in some divine sense that what is crucial to our sense of identity might be a relation R* with God. Not that I recommend this course, but the position generalizes Parfit’s position nicely to accommodate various explanatory projects, even if some of them are false. We explain ourselves to ourselves in many ways that don’t involve conceptualizing ourselves as physical/psychological continuities.

      Neither Parfit nor I make any argument about the equivalence relation that is “permanent” mathematical identity. We argue that criteria for establishing personal identity are contingent. I think most of your queries and conclusions relate to a misunderstanding of this point and a misguided assumption that only strict identity is a coherent notion.

      __________________________________________________________

      • ‘I reject the claim that our personal identity is forever linked to these properties.’

        Such as, when/where you were born? Your Social Security number? Is there some reason for wishing it weren’t so?

        ‘However personal identity (I claim) would never be defined with reference to a particular property in perpetuity.’

        Then it would never be defined.

        ‘I concede that there are recognition conditions for a given individual, and these are suitably stable to allow informative property ascription, but the object is intensionally individuated by an internal relation of self description subject to contextual change.’

        This is a strange parlance. These recognition conditions sound like epistemological cowardice. Which is my idea of a nice turn of phrase, for which I believe I can credit myself..? At the end of the day, your identity is not difficult to ‘measure’, and what if it was? Perhaps identical twins are experienced with this issue — one might surreptitiously go out on the others’ date. This is your issue? You don’t want to be fooled? But, people do get fooled all the time. What is the philosophical significance of the point that you are not infallible? Put it like this, then: I can be fooled by counterfeit money, that’s different than saying that there’s no such thing as real money.

        ‘My suggestion is that we can deliberately supplant each criterion for self-description when we adopt an alternative reductive account of who it is that I am.’

        Suppose that you do this, and my reaction is that you are lying to me about your identity. A concrete example, here, would be if you claim to be Jesus one minute, and Gottfried Leibnitz the next. What this accomplishes, is that I no longer regard you as the expert on the matter.

        ‘..defeasible as in the Sorites arguments..’

        *Paradoxical* arguments. Indeed, why bring this up — don’t you accept the applicability and validity of classical norms of reasoning? About these arguments, not everybody identifies the phenomenon here, as one of vagueness, but I do.

        ‘For instance our ontological resources are rich enough for me to self-identify as a moral agent rather than a psychological unity.’

        This distinction is too subtle for me, but how about identifying yourself as a person rather than a living organism. Concrete entities are always particulars. Being a particular is not a subjective property. Singular objects are strongly self-connected. Not all properties are the most important properties (this is, indeed, because it’s not true that all entities must instantiate them). No entity without identity — without a rigid property, with identity. This is an *assumption*. Am I being dogmatic? I intend for my ontology to contain property types that have high organizational utility. Otherwise, it’s not worth the effort.

      • “Such as, when/where you were born? Your Social Security number? Is there some reason for wishing it weren’t so?”

        It’s not about the motivation. You could forget all these things tomorrow without becoming a different person.These facts don’t strictly identify you in all cases to either yourself, or anyone else. You exist over and above these contingencies.

        “Then it would never be defined.”

        Sure. Definition is too strict a criteria to seek in self-description. That’s Parfit’s the whole point.

        “At the end of the day, your identity is not difficult to ‘measure’, and what if it was?”

        Agreed. It’s not difficult to measure. It’s impossible to fix. It’s not about self-deception it’s about the fluidity of our self-conception.

        “A concrete example, here, would be if you claim to be Jesus one minute, and Gottfried Leibnitz the next.”

        Yeah, such cases of identity crisis occur and are diagnosed as unstable personalities. But they still get to be the authority on who they are, and who they consider themselves to be.

        “*Paradoxical* arguments. Indeed, why bring this up — don’t you accept the applicability and validity of classical norms of reasoning? ”

        The Sorites cases are used as reductio arguments against the idea that the continuity criteria suffice for identity conditions on personhood. There is nothing contentious about the form of Parfit’s argument here. They undermine that idea that either physical or psychological continuity are sufficient to provide identity conditions. Hence, they prove problematic for Quinean identity theorists.

        “But how about identifying yourself as a person rather than a living organism”

        That was the entire point of post!!! It begins with acceptance of persons as an ontological category that we identify as, and seeks to explain what we mean by such an identification. I think we’re done here.

  4. ‘Definition is too strict a criteria to seek in self-description.’

    This points to some views about categorization and reasoning, as two aspects of the same mechanism. Specifically, you seem wedded to a non-axiomatic reasoning system. Then, the idea is that with insufficient knowledge, the truth value of a statement is not binary. You seem to insist on what I might term an experience-grounded semantics. What I want this to mean, is that both “truth” and “meaning” may be defined as functions of your own experience. We might also consider the idea, that each time a term (concept) is used, only part of its meaning may be involved. Suppose that I take this semantics, then, as given. Then, according to your experience, your reasoning activity may constantly change the meaning of the concepts. Suppose, that the body of a concept consists of the knowledge (a set of statements) you have on the concept.

    This semantics is fundamentally different from defining truth and meaning by a mapping, between ‘concepts’ in your head, and items in a model. We might picture our concepts and knowledge becoming more accessible, in the long run, in this way. We might remove concepts. There might be a ‘decay’ process going on.

    ‘You could forget all these things tomorrow without becoming a different person.’

    Okay, there may be ‘attention’, and ‘forgetting’. I’m fine with this, I won’t call it really a new idea. However, this is to define the meaning of a concept as its relation with other concepts. So, okay, the ‘meaning’ of a concept is ‘determined’ by its relation to other concepts. Then, also, the meaning of a concept depends on the role the concept plays in your conceptual structure (as it were). furthermore, suppose that these concepts are to have priority values attached (depends on the usefulness of the concept).

    This would be a way to provide a clear picture of the dynamics of concepts. I can imagine this agreeing, at least in part, with psychological models of categorization, and maybe also with fuzzy logic (without getting into interpreting that, or how it changes over time). Say, that a concept changes its meaning both in long-term (concept learning and evolving) and in short-term (context-sensitivity). Never-ended adaptation. Revising truth value and priority value. Only using ‘partial meaning’ (‘useful’, ‘relevant’).

    This would be fine, in my view, for explaining some phenomena of a linguistic sort, of a logical sort. In the grand scheme, this starts to look more like a normative theory for intelligence, and less like a traditional reasoning ‘system’. Where, for example, the syntax and semantics is separated. What I am describing, here, would not, as a formalized inference engine, know syntax only, and would not have nothing to do with the meaning of the concepts. You want inference is based on both syntax and semantics (experience-grounded semantics).

    Now, you’ve put up some predicate logic. However, in predicate logic, categorical relations and non-categorical relations are separated, and usually need to be handled differently. There is (for an example) “terminological knowledge”, vs. “factual knowledge”. Or, categorical relations, vs. non-categorical relations. Represented and processed differently. In which case, to end where I began, categorization and reasoning do not have the same relationship.

    Of course I obviously resist the notion that this specifically has to have specifically to do w/personal identity. To me, it seems, rather, promising as a ‘theory of categorization’.

    • “This semantics is fundamentally different from defining truth and meaning by a mapping, between ‘concepts’ in your head, and items in a model.”

      Not really, it just requires a more complicated model than standard Tarskian truth conditions. We need to allow that there is an intensional component to the semantics for “I”. This is pretty standard. In philosophical literature the most familiar kind of setting for this is Chalmers’ two dimensional semantics, but intensional semantics more generally is well established and not very controversial.

      “In the grand scheme, this starts to look more like a normative theory for intelligence, and less like a traditional reasoning ‘system’.”

      Intensional semantics is typically done in some non-standard modal logic, but this does nothing to pose problems for the distinction between syntax and semantics.

      “In which case, to end where I began, categorization and reasoning do not have the same relationship.”

      I never claimed differently.

    • It certainly provides some tools to deal with various questions surrounding personal identity. I’ll have to work through the details a little, but from the first glance you seem to provide a variation of a decision theorist’s analysis of human agency in which Parfit’s thought experiments are considered as a question of the degree to which we can predict future action profiles given an action profile defined as a mind state. Is that a fair assessment?

      *** Technical question ***

      Does the horizon function \gamma represent the limits of computing power, or a resource bound of some sort for a given agent? I’m not familiar with the term.

      ***end***

      One immediate query I have regards the \pi mind-state which seems to be your gloss on Parfit’s notion of a persons’ continuity. You seem to define expected utility function on the inputs \pi_{i} and equate an alteration of mind state with a change in personality. Correct? Surely a change in expected utility over time would be a better measure of personal-change than a simple change in mind-state?

      That said, the whole point of Parfit’s thought experiment is that we don’t know the values for mind state B given mind state A in advance, so since they’re crucial to calculating your ratio to determine whether A is the same as B, I wonder how you avoid the trap of begging the question for any given probability distribution? Can you explain the how the universal prior helps here? Especially if you’re using it to motivate a version of induction or Occam’s razor. Can you say why this would be legitimate in the prediction of mind-states? This is surely an open question? Computational tractability isn’t a sufficient argument here.

      Finally, your ratio involves two predictions it doesn’t actually establish whether change would occur, just the ratio between two estimates of likelihood. This might be considered progress if the probability distribution can be motivated for our case study, but it doesn’t answer the question Parfit asked since for Parfit the notion of change in personal identity is an internal relation, involving whether or not you remain recognizable to yourself as yourself over a given time period. In your terms, the agent would have to recognize the mind state B as being continuous with A. At best, that’s not what your ratio determines, or at least if it does I can’t see how? Pursuing Parfit’s project could involve assessing B as being continuous with A if conditioning on A ensures that B had an arbitrary, high probability. But this is still a 3rd party estimate of continuity, not the 1st person self-assessment Parfit discusses.

      That said, I guess you could self identify as the most probable outcome of your own prior states, but it’s an odd way to think of yourself.

      This is just off the top of my head. Let me know if I missed something crucial.

      • Here’s a good explanation of Solomonoff’s universal induction, just In case: https://www.youtube.com/watch?v=wMcRMO9ejeM

        The horizon function aka discounting function was introduced in theoretical AI in order to avoid infinite expected total utilities. It assigns lower importance to events that lie very far in the future. In my paper the mind-states on the tape are not necessarily temporally ordered. So it just assigns lower importance to mind-states which have a very high index on the tape.

        “I wonder how you avoid the trap of begging the question for any given probability distribution? Can you explain the how the universal prior helps here? Especially if you’re using it to motivate a version of induction or Occam’s razor. Can you say why this would be legitimate in the prediction of mind-states? This is surely an open question?”
        In the underrated paper “the subjective computable universe” Hutter argued that we should use Occam’s Razor/ Algorithmic Probability to choose the theories to explain our subjective observations. This means that the prior probability over subjective observations is given by algorithmic probability or universal prior. In my paper the subjective observations are mind-states.
        The universal prior gives us a mix of all possible theories, including the two criteria you mentioned in your essay above.
        In my paper I used 3rd person view in 3.2 and 3.3 but 1st person view in section 3.4 and later.

      • Okay, cool. The chess analogy is interesting to me. For the case of chess, predictive heuristics might be added to prune the decision tree at each stage, refining increasingly likely states of play to make the problem computationally tractable. If induction with the universal prior is similar, what kind of heuristics are involved in approximating the future mind states (strings)? I take it that Occam’s razor principle and the horizon function allow to seek the likelihood of a class of suitably “short” extensions of the mind-states?

        Could such heuristics be taken together be used to describe the contextual individuation process for the intensional semantics that I wrote about above? My concern is that the process of self-identification I wrote about above is fundamentally different from inductive estimates of what I will be. Not that they’re unrelated, both are reflective attempts to situate yourself in the world, but the process I discussed is the immediate awareness of a continuity relation, not an estimate of how I will continue…

        One concern here would be about grue-like minds which corroborate your inductive estimates of continuity until a point t_{grue} and then become freakishly extended (perhaps involving entirely random string progression). Is there a way of avoiding this kind of problem?

        I will look into the paper you mentioned, but if you could rehearse the arguments you think are most relevant to motivating the inductive heuristics it will help me find the crucial sections of the paper.

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