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Kaiserman:
The Personite
Problem
Are persons ‘worms’ (aggregates of
stages) or stages? An objection to
the worm theory
Worms or Stages?
worm
stages
Assuming 4-dimensionalism, there is a further question: are ordinary objects,
including people, 4-d ‘worms’ that have instantaneous stages as their temporal
parts or are they themselves instantaneous stages?
The Stage Language
Jones
Jones
• On the stage theory individuals are just stages.
• Names are systematically ambiguous (like indexicals) and refer to different
things at different times—in this case, to different person stages
After Fission Smith-Jones is in Chula Vista, Brown-Jones is in Florence
The Stage Language
Smith-Jones
Brown-Jones
Jones
• Future tense statements about a person really say that the stage which he is, is Rrelated to another stage that is whatever.
• [Before fission] Jones will be in Chula Vista after fission because the pre-fission
stage ‘Jones’ picks out is R-related to a post-fission stage in Chula Vista
Three Accounts of Personal Fisson
The Branch Language
The Lifetime Language
The Stage Language
Branches, Lifetimes, or Stages?
• All three accounts assume (or are compatible with) a four-dimensionalist
ontology but chop it up differently, i.e. have different accounts of what
persons and other ordinary objects are, and all are bad in their own way.
• Ordinary objects are lifetimes (Perry): cannot count timelessly at all.
• Ordinary objects are instantaneous stages (Sider): gets synchronic counting
right counting by identity, but in diachronic counting, for ordinary as well as
fission cases there are infinitely many objects (though we can avoid talking
about them) and no answer to how many people all along is fission cases.
• Ordinary objects are branches (Lewis): ’Cohabitation’ in fission cases--two or
(possibly many!) more then indistinguiable objects around before fission and
The Personite Problem.
In Support of the Stage Theory
• Ontology is same as Worm Theory: difference just in semantics.
- Names and other referring expressions designate instantaneous stages.
- Persons are instantaneous stages but this isn’t to say they live and die
moment by moment: they survive by being R-related to later stages.
• The Worm-Theoretical Personite Problem: If persons are worms, they overlap
innumerable ‘personites’, worm-segments that fall short of being maximal but
have everything it takes to be persons other than maximality—and who,
arguably, have interests and rights. Is it morally ok for me to sacrifice now to
save for retirement when many shorter-lived personites won’t be around to
cash in?
Stage Theory &
the Personite
Problem
Four-Dimensionalism and the
Problem of Temporal People-Parts
Contents
Kaiserman defends four-dimensionalism against an argument by Mark
Johnston which purports to show that it has unacceptable consequences,
viz. commitment to the existence of personites. Personites are a problem
for the Branch Theory but not for the Stage Theory!
1 Introduction: Worm Theory and Stage Theory
2 Preliminaries: Worlds, Times, and Persons
3 The Personite Problem
4 Objections and Replies
A Problem for Four-Dimensionalists
Mark Johnston has recently argued that four-dimensionalist theories of
persistence have disastrous consequences for practical ethics. The problem,
he argues, is that such theories are committed to the existence of personites,
shorter-lived objects coincident with people; that personites have moral
status on any plausible theory of how things acquire such status; and that
this consequence is incompatible with even our most basic ethical and
prudential assumptions.
I will show that his argument only works on a perdurantist or wormtheoretic account of persistence, according to which people instantiate
tensed properties in virtue of having temporal parts at past and future
times, but fails on an exdurantist or stage-theoretic account of persistence.
The Four-Dimensional World
• Four-Dimensionalism is the view that every object has an instantaneous
temporal part at every time at which it exists and comes in two flavors: the worm
theory (‘purdurantism’) and the stage theory (‘exdurantism’)
• Persons in the four-dimensional world:
- Person-stage: an instantaneous temporal part of a person
- The R-Relation: the relation that matters for personal persistence (‘personal
identity through time’)
• Worm Theory: persons are maximal R-interrelated aggregates of person-stages.
• Stage Theory: persons are just person-stages.
Persons’ Pasts and Futures
• What was or will be true of me at a time, t, is grounded in what is true of my
stage-at-t and states of affairs that obtain at other times.
• According to the worm theory I have a past or future property at t in virtue of
having an earlier or later temporal part that has that property
- E.g. I will be in France in virtue of the fact that I have a future temporal part in
France.
• According to the stage theory I have a past or future property at t in virtue of the
fact that I, a person-stage, am R-related, to an earlier or later person-stage that
has that property.
- E.g. I will be in France in virtue of being R-related to someone in the future
who is in France.
Personites
• An object x is temporally continuous iff for all times t1 < t2, if x exists at both t1
and t2, then x also exists at all times t such that t1 < t < t2.
• If x is a person, then y is a personite of x iff y is a temporally continuous nonmaximal R-interrelated fusion of two or more person-stages, each of which is Rrelated to every instantaneous temporal part of x.
personite
personite
personite
personite
personite
There are lots of personites!
The Worm-Theoretical Person Puzzle
Johnson: ‘[F]or each person there is an immense multitude of very person-like
things…inhabiting parts of that person’s life…sums of continuous stages.’
‘A personite is in all intrinsic mental and physical respects like its ”host” person over
the period of existence of the personite.’
‘What then could be the basis for granting the person moral status, but not the
corresponding personite? What is so morally momentous about being maximal’?
The Personite Problem
Johnson argues that if there are personites they have moral status—and that’s bad.
A Reductio Against Four-Dimensionalism
• Reductio ad absurdem: A form of argument in which some statement is shown to
be false because it has obviously false consequences.
- For example, in proving theorems in math and logic by reductio we assume the
opposite of the theorem to be proven and show that it implies a contradiction.
To prove T, we assume NOT-T for reductio, show that it implies a contradiction
and hence must be false—so that its opposite, T, must be true.
• Johnson’s Reductio Argument Against Four-Dimensionalism
(1) If Four-Dimensionalism is true then there are personites.
(2) Personites have moral status, i.e. interests and rights that should be respected.
(3) But it is obviously false that personites have moral status.
(4) Therefore, Four-Dimensionalism is false.
The Personite Argument
So in support of the reductio, Johnson argues for its Premise 2: the claim that
personites (if there are such) have moral status, as follows:
(1) For all possible worlds w and possible objects x, if x is a person in w then x
has moral status in w.
(2) For all possible worlds w and v and possible objects x and y, if x in w is a
duplicate of y in v, then x has moral status in w iff y has moral status in v.
(3) For all personites x, there are a possible object y and possible world w such
that y is a person in w and y in w is a duplicate of x in the actual world.
(4) Therefore, all personites have moral status.
Possible Worlds
ways that things can be, could have been,
or could come to be
Possible Worlds
World w
z is a person, a maximal R-interrelated aggregate
of person-stages, and so has moral status.
World v
y is a person, a maximal R-interrelated aggregate
of person-stages, and so has moral status.
Possible Worlds
World w
x is a personite and is an intrinsic duplicate of y.
The only difference between x and y is extrinsic:
x is ‘attached’ to later person-stages; y isn’t.
World v
y, an intrinsic duplicate of x, is a person, a
maximal R-interrelated aggregate of personstages, and so has moral status.
Possible Worlds
World w
Extrinsic differences, like being attached to later
person-stages
World v
y is a person, a maximal aggregate of personstages, and so has moral status.
Possible Worlds
World w
Extrinsic differences, like being attached to later
person-stages don’t make a moral difference:
nothing momentous about being maximal.
World v
y is a person, a maximal aggregate of personstages, and so has moral status.
Possible Worlds
World w
So x, and all other personites, have moral
status.
World v
y is a person, a maximal aggregate of personstages, and so has moral status.
Why This is a Problem
• If personites have moral status then there will be conflicts of interest between
my personites and me and amongst innumerable personites.
Unfair! WeTest:
won’tearlier personites want one marshmallow now;
• e.g. The Marshmallow
be around to
Delay gratification
and even want 100
later personites want
two later. Earlier personites
wouldn’t
enjoy it!
save the best for last!
marshmallows later because they won’t be
around to enjoy them.
I’m saving for
retirement!
• If I sacrifice pleasures now to save
money so that I can enjoy a happy,
financially secure retirement my
earlier personites will bear the
burden of my sacrifice but never
get the pay-off since they won’t be
around for my retirement.
The Stage-Theoretical Response
• Kaiserman argues that personites are not a problem for four-dimensionalism as
such but only for the worm-theoretical version: the stage-theoretical version
escapes this criticism.
• According to the stage theory persons are instantaneous stages: neither maximal
R-interrelated aggregates of stages, z and y, nor personite x, a non-maximal Rinterrelated aggregate of stages, is a person and has a past or future property in
virtue of the fact that it is R-related to an earlier or later person-stage that has
that property.
• Premise 3 of the personite argument, ‘For all personites x, there are a possible
object y and possible world v such that y is a person in v and y in v is a duplicate
of x in the actual world, w’ is therefore false.
(I’ve changed the letters in the argument to correspond to the example)
Aggregates of Persons Don’t Have Moral Status
• One might insist that…personites] are nevertheless duplicates of something
with moral status, because maximal R-interrelated fusions of person-stages
have moral status regardless of whether we decide to call them ‘people’.
• But I don’t see why a stage theorist should accept this premiss. From the
perspective of the stage theorist, the four-dimensional objects worm theorists
call ‘people’ are no different from, say, the fusion of me and Mick Jagger (or,
more to the point, the fusion of me and my modal counterparts).
Why Should I Care?
• If I’m just an instantaneous stage, why should I care about past or future states of
affairs?
• Because on any four-dimensionalist account, at any time, I have temporal
properties, i.e. past and future properties having-been-F and going-to-be G in
virtue of me being R-related to earlier and later stages that are F and G
respectively.
- E.g. I was in Alex Kaiserman’s class at Oxford 4 years ago in virtue being Rrelated to an earlier person-stage that was there.
• ‘Self-interest’ is the concern a person has for stages that are R-related to them.
- E.g. I want to have lunch 3 hours from now = I want R-related 3-hours-later
stages to eat.
The Moral Status of Person-Stages
• Persons are instantaneous stages.
• ‘Person is a forensic term’: persons, and only persons (human or otherwise) have
moral status—i.e. they should be treated in certain ways, have their interests and
desires respected, etc.
• I have an interest in how things will go for me in the future, i.e., in how things go
for later person-stages R-related to me, and if others trash those stages they set
back my interests and harm me.
• I’ll wait for that second marshmallow, save for retirement, etc. on this account
because it’s in my interest that those later stages which are R-related to me get
the marshmallows and cash in on the retirement fund.
Objections and Replies
Objection 1
• Even granting that I’m an instantaneous person-stage, there are innumerable
other instantaneous things that occupy the same region but are different because
they have different temporal properties in virtue of having different temporal
counterparts. They’re intrinsic duplicates of me and so worthy of moral
consideration (by Premise 2—intrinsic duplicates have same moral status).
Competition again.
• Response: Rather than admitting a multiplicity of entities with different temporal
counterparts, the stage theorist should instead admit a multiplicity of counterpart
relations…There is just one object coincident with me – me – but that object
instantiates different temporal properties relative to different counterpart
relations.
Objection 2
• But now things look even worse for the stage theorist…[I]f facts about what I will
do are relativized to a counterpart relation, it seems that facts about what it is
practically rational for me to do now must also be relativized to a choice of
counterpart relation…If it’s true of me that I ought to save for retirement, it’s true
simpliciter, not simply true qua person. Mutatis mutandis for moral facts.
• Response: Rather than relativizing moral and practical claims to a choice of
temporal counterpart relation, the stage theorist should simply insist that there is
a particular counterpart relation – the relation I’ve called R – such that what I
ought…to do now depends on what will be true of me relative to that counterpart
relation. The purpose of a theory of personal identity, as the stage theorist
conceives of it, is precisely to figure out what this relation is…For that I need to
know which relation is the one that matters.
Conclusion
[I]f personites turned out to be intrinsically identical to some (albeit merely
possible) thing with moral status, it’s not clear on what rational grounds we
could possibly resist the conclusion that they have moral status too.
But this conclusion, if true, is disastrous – it’s incompatible with even our most
basic intuitions about how to lead a minimally ethical and well-ordered life.
In this paper, however, I have argued that although the personite problem is a
problem for the worm theory, it does not affect the stage theory…
[T]he stage theory is compatible with our basic ethical and prudential principles
and the worm theory is not. So much the worse, then, for the worm theory.
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