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SAMUEL C. WHEELER
ON THAT WHICH IS NOT
This paper presents arguments that, very probably, none of the
ordinary 'middle-sized' objects of the 'given' world exist. In parti
cular,there are no
persons,as
ordinarily conceived, nor, perforce,any psychological states of them. Since this may conflict with what
seems to be thought, the way will be prepared by a sketch of the main
presuppositions of the theory of reference which lies behind the
general argument that all such counter-common sense claims must be
false. The point of the long digression is to begin to destroy the
rational grounds for resistance to the sorites1 arguments which est
ablish the main point. After presenting the sorites arguments, a brief
criticism of ways of avoiding the conclusion is presented.
I. THE ARGUMENT THAT MOST OF WHAT MOST PEOPLE
BELIEVE IS TRUE
In this section I sketch two theories of reference, the second a
modification of the first. I then show how the second theory of reference
entails the conclusion that most 'ordinary' common-sense beliefs are
true; that is, that common sense is for the most part correct and that
what appears to conflict with it either doesn't actually or is false.
A. Theory of Reference I: Frege-Russell Resemblance
What, after all, is it for a term to apply? Our terms have as their extension whatever fits
their sense. Reference is a function of sense. So, given that we are talking about
anything when we are using a given term, what we are talking about when using that
term is determined by the sense expressed by that term. The internal features of the
concept determine its reference. If the term applies, then, by what it is to apply, the
object we are talking about will have the important features that are built into the
concept, i.e. will fit the sense of the term. (Imaginary quotation)
This is the basic form of what I call 'the resemblance theory ofreference'. Exactly how 'features' or 'senses' of concepts are con
Synthese 41 (1979) 155-173. 0039-7857/79/0412-0155 01.90.Copyright ? 1979 by D. Reidel Publishing Co., Dordrecht, Holland, and Boston, U.S.A.
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156 SAMUEL C. WHEELER
ceived and which features of concepts are part of the sense and so
have to belong to the objects the terms apply to vary from version to
version of this theory.
Theory I has the weakness that it does not provide an empirical
way of determining what the sense of a term is. What sense a
term-for-a-person has, that is, might well be a private matter, even
when the sense itself is an objective entity. The 'expression' relation
between a word or thought-component and a particular sense is left to
some kind of intuitive insight-
we know what we mean, when it is ourown word. More importantly, for our purposes, the basic form of the
resemblance theory of reference does not give any guarantee that we
are talking about anything at all. What is to prevent the natures out
there from diverging in essence from the senses our terms express to
such an extent that nothing fits our terms? Since the sense expressed
by a word is, as itwere, not clearly connected to what is outside when
the term is used, nothing in principle prevents massive failure of
reference. In short, the basic form of the resemblance theory of
reference does not provide a rejoinder to skepticism or to metaphysical revisionism.
B. Theory la: Quine-Davidson and British Resemblance Theories
This theory overcomes the above difficulties by getting something
functionally analogous to sense into empirically available phenomena.I will briefly describe the Quine-Davidson version of this theory, and
then argue that Wittgensteinian and 'ordinary language' philosophers
presuppose virtually the same principles about how language connects referentially to the world.
Version a: Quine-Davidson2
If we are talking at all, what we are talking about is determined by what we say in
which situations. Roughly, our occasion-sentences have a stimulus-meaning or an
'outside correlate' meaning. A language has been translated or radically interpreted as
far as empirical data goes when the appropriate correlations between what is out there
(for us) and the person's responses have been established. The reference of a term in
an occasion sentence is constrained by these outside correlates. The constraint may not
be sufficient to determine reference, but at least what there is to go on in hypothesizing
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reference is given by the outside correlates, the empirical substitute for Fregean senses.
All there is to the 'sense' of a term is manifested in these outside correlates, i.e. in a
person's or a culture's dispositions to use that term. So, look for senses in the patternof a person's or a culture's speech behavior. (Imaginary quotation)
On this theory, given that a sentence is true if and only if what it is
best translated or interpreted as obtains, most of what most peopleare inclined to say is true. (This holds in general, for Davidson; for
observation sentences, for Quine.) That is, translation and inter
pretation must, by the nature of reference, be 'charitable'. Given thatthought is language-like insofar as the same requirements must be met
for thought-tokens to refer, most of what most people in a culture
think will be true as well.3
Version b: British
It is somewhat difficult to pin down a 'British' theory of reference in a
form acceptable to its practitioners, since so many of the philoso
phers I have in mind, such as the later Wittgenstein,4 Austin,5 andRyle6 tend to eschew theories in favor of detailed descriptions of the
'ordinary' use of our terms. Since they eschew theory, they eschew
any technical use of 'refers' or 'applies', so that their 'theory of
reference' can be called such only via locutions of indirect discourse.
Their implicit views of language and its relation to the world,
however, lead them to the most uncompromising defense of com
mon sense. According to their conclusions, virtually every central
belief 'built into' language by way of the judgements we learn in
learning a language is true. So it is important for my purposes to bringtheir theory of reference into some kind of relation with theory la in
its Quine-Davidson form.
What further premise would yield a valid argument from the
premise that a certain philosophical theory violates the rules for the
use of a given term or concept or family of concepts to the conclusion
that the philosophical theory is mistaken? I think that only a version
of theory la will make this argument valid and that theory la is behind
almost all dissolvings of problems and 'analyses of the grammar of
in this tradition.To argue that theory la is behind every such analysis would require
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158 SAMUEL C. WHEELER
detailed analysis and argument for the case of each of the philoso
phers in question. I think it is clear, though, that a theory of essen
tially similar to Davidson's in 'On the Very Idea of a Conceptual
Scheme',7 is implicit in most such philosophers' work. The British
theory, though, contains some modifications, and is complicated by a
different conception of how strongly empirical sense determines
reference.
On the generalized 'British' theory, ignoring individual differences,
concepts have a sense which is identified with their use, a complicatedsocialized and contextualized version of 'outside correlate meaning'.
The use of a term is, roughly, given by the sort of situation in which
the term is to be applied, according to the rules of the language.'Correctness of application', which seems to be the general surrogatefor truth, is determined by the rules of the language, which them
selves seem to be a function of what most people in the language
community say in paradigm situations. An application of a term is
correct (i.e. a sentence is true) if and only if what is in fact the
situation is in the set of situations where the term 'is to be used'.For reasons I do not fully understand, these philosophers differ
from Quine and Davidson in not finding reasons to believe that there
is 'slack' between use and reference. 'Rules', possibly by some subtle
normative force, are sufficient alone to give determinate results as to
what is being referred to. This might be regarded as a consequence of
their strategy for avoiding the paradoxical results of an unrestricted
application of the resemblance theory of reference. Supposereference is strictly determined by sense, and sense is determined by
what people say in what circumstances. Then, if it makes sense toapply this to an isolated individual, all, not most, of what this
one-person culture says will be true. This is because there is alwayssome extension, given by exactly the set of situations in which the
person applies the term, which will, by the theory, be what the personmeans by the term. Since it is senseless that a person can be speakingtruths when any alternative utterance he could make would also be a
truth, it has to be denied that there can be one-person linguisticcommunities. Thus 'private languages' are declared to be impossible.
That is, to apply the resemblance theory of reference to get the resultthat most of what most people say is true rather than that anything
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that anyone could say is true, the unit of rule-discovery or inter
pretation is made the culture as a whole. A culture as a whole
generates rules by some kind of majority practice, so that error byindividuals is possible. Since there can be no private language, and so
no reference which is not everyone's reference, speculation about
ontological relativity makes no sense. So 'aquiescence in the back
ground language' is the only alternative that makes sense.
On the 'British' theory, reading 'use' for 'sense', truth is a function
of use, and so, reference is a function of use. Once again, thecorrelate of the sense of a term is brought out into the world, so that
meaning or use determines correct application. Thus correct ap
plication, over a culture as a whole, is guaranteed.
On both versions of theory la, then, reference is still a function of
sense. But sense is constrained, if not determined, by what is there in
a situation in which the speaker is disposed to use a given term. Sense
has its criterion, if not its being, in the outside world. Thus sense and
reference are virtually correlative on theory la, at least in that each
puts limits on the variation of the other. What distinguishes thistheory from theory I is that what a person or culture means is
determined by seeing what is true when an expression is used and
making meaning correspond to what is the case. Then since reference
is a function of sense, most of what a culture agrees on will turn out
to be true by the very nature of what it is for a term with a given
meaning to be true of an object.
Now, given the above picture of language and thought and its
relation to the world, there is a standard reply to philosophical
doctrines which challenge widely held beliefs in great numbers:'You're misusing language'. Alternatively, 'You're misinterpreting the
truth-conditions of this predicate/construction for English speakers.'If theory la is true, the revisionary metaphysician and the skeptical
epistemologist must be misusing or mis-paraphrasing language
because, by the nature of the case, most of our beliefs must be true.
Thus arguments which conclude that we are mostly wrong in a whole
area of belief are, provably, invalid or unsound. How they go wrong
according to this theory of reference may take subtle and skillful
analysis; the conclusion that they are wrong is foregone. Suchrefutations include paradigm case arguments, arguments about how a
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160 SAMUEL C. WHEELER
concept is learned, arguments about when we say a person has a
concept, analyses of suspect arguments in terms of 'extending a
concept beyond its range of use', arguments against the very idea of a
conceptual scheme, and many others.
Attacks on common sense based on supposed inconsistencies be
tween science and common sense are similarly treated by adherents of
theory la. Since our ordinary beliefs can't be radically wrong, we justhave alternative descriptions, different families of predicates with their
associated application-constraints, or different purposes for differentequally correct predicate-systems.
II. THE DEATH OF THE RESEMBLANCE THEORY OF
MIND-WORLD RELATIONS
Kripke8 and Putnam9 have shown that the above theory of how
language links up to the world does not coincide with our ordinaryuse of terms such as 'refer', 'about', 'names', 'discussed', etc. Theory
la, then, is self-contradictory. That is, the theory that says that our'use' of a term determines its meaning is not the theory of meaning
and reference that the use of our idioms of reference embodies. A
'use' analysis of our referential concepts shows that use is not
meaning. So reference is not a function of sense, in general, accord
ing to the theory that it is.
I should explain how Kripke's and Putnam's demonstrations work.
Consider the intuition we have about what we would say in situations
in which it turned out that, for instance, we had accepted the sentence
'Aristotle was a Megarian philosopher who proposed the paradox ofthe heap and invented other fallacies'. In the appropriate circum
stances, we would say we had a false belief about Aristotle. This is a
manifestation of our use of 'about' or of the sense of 'about'.
Intuitions about what we think is the case in such situations are
intuitions about what we 'would say' in such situations. By most
theories of reference, such intuitions are the basic data for a theory of
the sense of the term 'about'. Analogous remarks apply to the other
referential terms Kripke and Putnam discuss. By the resemblance
theory of reference, the relation of aboutness and the other referential relations must be whatever sets of ordered pairs accord with these
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dispositions to apply referential terms. But any such relations contain
ordered pairs of terms and entities such that the sense of the term
doesn't fit the entity as well as it fits some other entity. The relations
the resemblance theory of reference assigns to referential notions
contain pairs of concepts and entities the resemblance theory would
not predict. Thus a 'use' analysis of reference shows that use does not
determine reference.
Some remarks are in order about the scope of these results. Kripke,
by examples such as the Aristotle example, has shown that theresemblance theory is false for proper names. Putnam, by his 'Twin
Earth' examples10 and others, has shown that Theory I and la are
false of natural kind terms, such as 'water', 'cat', etc. His argumentsseem to apply to any property-words which pick out what we regardas real properties. Whenever we have a case of a term such that we
hold that its correct application is not a matter of our decision but
rather of how things are, we have a case in which our intuitions are in
disagreement with the resemblance theory of reference.
Kripke's and Putnam's results may not directly apply to terms forwhich our intuitions are that whatever our society chooses to say is
correct. Terms such as 'is married', 'is a bachelor', 'was duly elected'
seem to designate properties for which the resemblance theory is
correct, if they designate properties at all. In such cases, there is,
intuitively, no possibly recalcitrant objective fact to pose a danger of
making most of our applications of a term mistaken. This is because,
prima facie, it is our agreement on what to say that 'defines' these
terms. Kripke's and Putnam's results fail to apply, if at all, then, only
in cases of properties which are social artifacts, properties whosebeing is social.
Even for properties which seem to be social artifacts, the resem
blance theory may not be correct. Putnam uses the example of
'pediatrician',11 which does not seem to name a natural kind, but
rather a kind of socially defined occupation. 'Pediatrician', though,does seem to have come to rigidly designate a group of people. Thus
it could turn out that pediatricians are not doctors, if pediatricians all
turn out to be Martian spies and to have just made a pretense of
rendering medical aid, while in fact shipping little children to Martianforced labor camps.
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From a realistic point of view, the resemblance theory claims that
all property-terms have reference in the way that 'bachelor' and 'dulyelected' appear to have reference, i.e. by socially deciding an exten
sion. Only on an idealistic conception of the world, though, could it
be claimed that all of our terms for kinds and properties are social
artifacts. On a realistic view, there is a world out there which can
deviate from our conceptions of it, so that the content of a conceptiondoesn't determine its object.
Even if the resemblance theory is right for sentences using socialartifact terms, though, we don't get the result that truths about the
world are guaranteed. Every artifact-term seems to require in its
definition some reference to intuitively real kinds, such as
'bachelor =df unmarried male person'. Thus there is no guarantee thatmost particular universally agreed on applications of the term are
true. 'Person' is a natural kind term, so that the theory embodied in
that concept may not be true. So it may be guaranteed that most
widely agreed-on sentences of the form, 'If A is a male person, then
he is a bachelor' are true, given that 'married' is a socially definedterm known not to apply to A. But it will not be guaranteed in anysocial way that most agreed-on sentences of the form, 'A is a
bachelor' are true. If we are wrong about what it takes to be a person,it could turn out that most of the things we all agree in calling
bachelors are not. If, for instance, a thing has to have a soul to be a
person, even though our concept involves no such thing, none of our
paradigm bachelors will be bachelors if none of them have souls. The
hypothetical beliefs involving social artifact terms may be guaranteed
to be mostly true by a 'use' analysis, but claims about how the worldreally is with respect to such properties get no such guarantee. Onlyon the view that all terms are social artifacts will any facts about the
world follow from universal beliefs.
Kripke's and Putnam's results, then, show that in no case can there
be an argument that reference is a function of sense. No replacement
theory is established by Kripke's and Putnam's results, however; onlythe negative result that the resemblance theory is wrong. It is true
that the content of our referential concepts seems to embody a kind
of causal theory of reference where the caused items are mentalisticand intentional items. Furthermore, various social phenomena seem,
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intuitively, to be built into real reference as conditions in this causal
relation. But apart from a resemblance theory of reference, we haveno compelling reason to conclude that therefore reference is some
kind of causal relation. We certainly have little reason to give our
theory of reference the complexities that accommodating our varied
intuitions about what refers to what, when, would entail.12
An apparently unnoticed consequence of Kripke's and Putnam's
results is that the invulnerability of the purported truth of the
ordinary views of men is destroyed. If a concept's reference is notdetermined by making its content both determine reference and be
determined by whatever is out there when we use it, then a conceptamounts to a theory which may be radically mistaken. 'Criterial'
features of a concept may be mostly false of what the concept is true
of. Conceptual analysis will be merely that, with no very clear
consequences for what is the case. If the replacement theory for the
resemblance theory is some causal account, by now familiar stories
are available in which there is radical misinformation 'built into' the
concepts, intuitions, and beliefs of a society.Furthermore, what can be true of one concept can be true of most
of our concepts. On the causal alternative again, where the referent of
a general term is the kind of which the causal sources of our conceptare members, we could have a situation where all special analyticcontents of concepts were empirically false. Apart from a resem
blance theory of reference, we can be talking about the real world
and getting it all wrong. If the resemblance theory is wrong, there is
nothing impossible about truly massive error.
A more poignant possibility is that our terms may not refer toanything. On a causal theory, if there is in fact no kind out there to
which all or most baptism cases belong, then we are talking about
nothing with that concept. Similarly with singular terms for fictional
entities. If what 'reference' refers to turns out not to be very often
instantiated, most of our terms will fail of reference.
Whether or not a causal theory correctly describes the essence of
reference, if there is such a thing, the fact that the resemblance
theory is wrong eliminates the major arguments that massive error is
impossible. Massive error, of course, will need to be supported byarguments from a better-off standpoint than common sense. The fact
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164 SAMUEL C. WHEELER
that we seem to make massive errors will have to be given an account
from that standpoint. I argue in the following section that this last
possibility, that most of our terms for objects don't refer, is in factthe case. I believe that our errors and the apparent paradoxes that
arise from this 'vanishing of objects' can be explained in terms of a
theory that recognizes at most the micro-particles of physics andcertain complexes of them as genuine objects. This is not a skepticalclaim. I am not saying that we are as likely as not to be wrong about
the existence of and features of ordinary objects. I argue that we arevery probably in fact mistaken and that there are no such things.
III. SORITES ARGUMENTS
Sorites arguments are generally regarded as sophisms or puzzles. I
think the reason they have been so regarded is that by the resem
blance theory of reference, their conclusions are demonstrably false.
The resemblance theory is not the primary motivation for rejecting
sorites arguments, but it is the main reason. The main motivation, Ibelieve, is irrational nostalgia. With the death of the resemblance
theory of reference, I think it is clear that sorites arguments are
sound, for the most part.I use sorites arguments to make intuitive what I think is plausible on
other grounds. I think that to be objectively real requires having an
essence. For an object to have an essence is for there to be objectivenecessities true of it, that is, natural laws. There appear to be very
good laws about micro-particles while the laws about medium-sized
objects are very poor, so full of ceteris paribus clauses as to be mererules of thumb. Since there seems to be little hope of a reduction of
medium-sized object kinds to complexes of micro-particle kinds,there can either be two unrelated systems of objective kinds or the
objects with the worse laws must go. For reasons I have explained
elsewhere,131 think the medium-sized objects must go.I begin with a pair of premises:
(a) If a putative property is a real property, then it is a matter of
fact whether an object has that property or lacks it.
(b) Whether a purported object exists or not is a matter of fact. Apurported object either exists or doesn't exist.
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I take these to be basic 'realistic' principles of ontology, which state
what it is to be and to have a property. There are two general kinds of
sorites arguments relevant to my purposes in this section which I will
present in turn.
A. Property-type Sorites Arguments
No person who is not tall can become tall by growing one micron. By
premise (a) though, at every micron-point in the growth of a personhe either has the property of being a tall person or lacks it. Unless a
single micron can make the difference between having this propertyand lacking it, no person can become a tall person by continuous
growth. Since we are very sure that any precise borderline between
having this purported property and lacking it is absolutely arbitrary, it
seems clear that there is no property of being a tall person. Since it is
up to us, it is not a matter of any fact about the world. Since there is
no property, nothing has it. There are no tall persons. There are, of
course, in the range of cases where the question seems to arise, aninfinity of properties of the form 'is n meters in height' where n is a
positive real number. What has been shown is that no set of such
properties constitutes the property of being a tall person. So there are
no tall persons.
It doesn't help to have three or more truth-values or to decide that
'neither tall nor not tall' is a middle category. The same fuzziness that
obtains between 'true' and 'false' and between 'tall' and 'not tall' will
occur between any two adjacent truth-values and between any two
adjacent categories along the dimension. And this fuzziness showsthat there is no property there, if we are right that no preciseborderline is correct. (Sophisticated versions of alternative logics are
briefly dealt with in the next section.)All that is possibly real in such cases would be a relation on a
dimension. In the case of a predicate such as 'bald', such a relation is
probably not even there. That there is such a relation would dependon some kind of ratio of hairs to surface normally hairy combined
with considerations about distribution. Several such relations might
preserve transitivity, conform to our intuitions roughly, and givedifferent orderings of pairs of men. No relation would be selected by
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our intuitions as clearly the relation that 'balder than' denotes. So
'balder than' unlike 'taller than', may not even denote a relation.
Property-type sorites arguments can be extended to substance
terms and count-nouns, as long as there seem to be 'defining properties' which are fuzzy and for which borderlines are intuitively arbi
trary. To show that there are no rational agents, imagine an entity
becoming gradually less rational, believing fewer and fewer truths,
making sounds which are harder and harder to translate without
attributing inexplicable error, and behaving in ways that become moreand more difficult to rationalize. Analyses of agenthood in terms of
success with intentional explanation or interpretation, such as Den
nett's14 lend themselves to a sorites-type evaporation of 'agent' as a
substance-determiner.
In the case of paradigm property-continua such as 'tall person', I
have argued elsewhere15 that we are sure that no place in which a line
is drawn is objectively right, and have explained this as confidence
that no laws of nature apply above any cutoff point which do not
apply below. This amounts to confidence that there is no real cutoffpoint in the nature of things. With persons, our confidence that it does
not matter objectively what one says is less clear, since a lot hangs on
whether an entity is called a person.On reflection though, the property-sorites argument should con
vince one that the only objects that exist are ones with a preciseessence. Only precise essence can constitute the being of a genuine
logical subject or of real properties of logical subjects. And objectswith precise essences seem to exclude persons, tables, chairs, etc. It
seems very implausible that, at a certain point in the elimination ofthe essential 'property' of such objects some drastic change should
take place which made one of those objects an objectively distinct
entity, where what kind of thing it was changed.The problem with generalizing property-sorites arguments is that
we have to construct dimensions for putative essential 'properties'and have to have some grounds for thinking that we have the rightessential properties. Since the resemblance theory of reference is
wrong, however, the features that we take to be essential may well
not be. It could turn out, that is, that something very unimportant toour concept of person is in fact essential to the nature of persons.
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B. Ungefs Sorites Arguments
A more easily generalizable sorites argument, due to Peter Unger,16 is
the composition/decomposition sorites. This consists of taking a
putative object such as a table and extracting in the most favorable
'table-preserving' way one atom at a time. (In this kind of sorites,such extraction is assumed to be physically possible.) Surely one
atom cannot make the difference between a table being there and
there not being a table there. But equally clearly, there are no 0-atomtables. So there are no tables. The only principle this argument needs
is premise (b) that every 'object' either exists or not, after each
diminution. The argument has the form: If there are tables, then if
losing an atom most favorably preserves tablehood, then there are
0-atom tables. But there are no 0-atom tables and removing a singleatom would preserve tablehood. So there are no tables. Tables are not
beings.Such arguments can be interpreted as showing that where there
seems to be thought to be a table, there is at most a complex ofatoms. A sequence of complexes of smaller and smaller size is
analogous to the dimension on which 'taller than' is defined. In this
case also, there is no subset of that sequence which is the object of
common sense, though there may be a definable artificial complex
object at each point up to the last in the diminution. That there is
even a single relation 'is more tabloid than' along this sequence is
questionable, since many 'acceptable' relations could be defined.
In the case of persons, Unger's argument starts with brains, since
almost everyone would say that after a brain-transplant, he has a newbody, not a new brain. So, keeping the brain in the right sort of
nutrient bath, the extraction without replacement proceeds. Now, the
nutrient bath itself would not be considered to be part of the personand neither would further life-support systems that might have to be
attached to the person as the decomposition progressed. When we are
eventually down to one atom, most people would agree that there is
no person there. And most prople would agree that a single atom's
addition cannot turn a non-person into a person. A composition
version of the same argument comes up in disputes about abortion. Ifa fertilized egg is not a person but a thirty year old is, then during
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some one-second interval a person must have come into being. Since
this seems physically unlikely, there are probably no persons.What it would be for an ordinary object, a person, or any object to
exist, would be for some one-atom reduction to make a natural,
objective difference. That is, for an object to exist is for there to be a
genuine law of nature which applied at one point but which failed to
apply at the next point.What this sorites establishes is that ordinary objects and persons as
we conceive them do not exist. It is logically possible that there is aprecise molecular complex entity of some sort out there which is
what we are referring to when we seen to refer to something with the
qualities of, for instance, a person. But there seems to be no reason to
think so and fairly good scientific grounds to think not. In any case,
the ordinary conceptual scheme certainly does not support the postulation of such an entity, since ordinary intuitions about when an
object survives a diminution, namely that it always survives tiny
diminutions, are what the sorites argument uses to evaporate putative
objects.I believe that every such argument is valid, both of the property
type and of the composition/decomposition type. I believe that for
nearly every ordinary object, and for most ordinary properties, the
premise that a single atom will not make the difference between a
property being there or not is true. Thus I believe that very few
ordinary objects are real.
IV. WAYS OUT
(1) Alternative logics seem to have been the most frequent res
ponse by people who take sorites arguments at all seriously. The
alternative logics I have seen depend either on treating membership in
a set as probabilistic, on treating membership in a set and truth as
partial,17 or on multiplying truth-values.
Probabilistic membership in a set, literally interpreted by a realist,seems to require violation of principles such as that no two persons
with all the same physical dimensions can be such that one is a tall
person while the other is not. On the probabilistic set-membershiptheory, if taken literally, if two persons have exactly the same height
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and are both in the set of tall persons with a probability of 0.5, thenone may be tall while the other is not. If physically indiscriminable
individuals must belong to the same kind, objectively, then probabilistic set-membership makes no literal sense. Some proponents18 of
this theory do not take it literally, but rather as a remark about how
many acceptable arbitrary borderlines an object is above or below. But
this is to recognize that there is no property there.
Partial set-membership is a nearly equivalent version of the above
theory which is immune to the above objection. However, the notionof partial set-membership seems to apply more properly to Masonic
orders than to real objects in the world. An object must have an
essence, that is, objective features losing which amount to its extinc
tion. Similarly, for a real property, a thing either has it or lacks it. The
notion of being partly in a kind or partly having a certain propertyamounts to the admission that what we have is a dimension rather
than an essence which can determine the being of an object. For a
real essence or a real property, either a thing has it or lacks it. Real
propositions, likewise, are either true or false. More truth-values donot make sense ontologically for the obvious reasons.
The above remarks obviously beg the question against these well
thought out and elaborate theories. I deal with these theories so
briefly, though, because I think it is clear that they presuppose a
resemblance theory of reference and assume that realism is false.
Furthermore, the motivation for accepting these complex alternatives
to our very simple ontological principles is the assurance the resem
blance theory gives that our patterns of verbal behavior must be made
mostly true. If reference were a function of societal dispositions toapply a term, we would expect that reference would be probabilistic,since response-patterns are. Properties would be statistical social
artifacts. But on a realistic view, such probability-distributions have
nothing to do with what is out there, only with our descriptionbehavior. (This is not to say that a theory of our description behavior
is trivial or useless. I think Zadeh, Fine and others are dealing with
interesting problems, but not with the problem of this paper.) Our
description-behavior, apart from the resemblance theory, can deviate
massively from what is the case. Our behavior in response to stimulimay be probabilistic, but what properties a thing has and whether a
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thing of a given kind exists or not is not. When there are no rational
grounds for thinking ordinary logic ismistaken, its conclusions should
be accepted. With the death of the resemblance theory of reference,there are no rational grounds for changing logic; only nostalgic ones.
(2) People might respond to the conclusion we have reached via the
sorites arguments with the claim that ordinary objects are ontologic
ally primary while the objects of physics are instrumental parasites.Thus the fact that the essence of ordinary objects make no sense in
micro-particle terms is taken as a mark against the reality of microparticles, and not vice-versa. This would amount to a super-Aristotelianism, where the real essences were those of medium-sized
objects, with atoms being fictions. The fundamental nature of the
world is just as we perceive it. However such a theory might go in
detail, essentially the same sorites arguments go through with small
chips of tables, for instance, rather than atoms. Such a theorist would
be committed to the claim that, after some minute chip has been
removed from a table, the table has ceased to exist, even though we
admittedly are not aware of this and it is not clear from our conceptthat this is so.
Such a reactionary realism must concede, though, that this ceasingto exist will be a theoretically isolated phenomenon, even in terms of
a 'medium-sized object' system of basic scientific terms. Not only will
the existence or non-existence of the table not be connected with anylaws of particle physics, it will not even be connected with any laws
about ordinary objects. This is because there are no precise laws
which connect ordinary object terms that we have any evidence for.
So that there are precise but unknown breakoff points for tables andtrees seems to be absolutely unfounded either intuitively or
scientifically. The thesis is not supported by intuitions because our
intuitions hold that every point is arbitrary. It is not supported
scientifically because of the very unlawlikeness of the generalizationsthat look to be forthcoming about medium-sized objects. That is, if
there is a distinct vanishing point of the tablehood of an object in
terms of chip removal, no necessary connection to dinners or to
chairs seems to break down. If you could pull a chair up to the thing
before, you still can.The discovery of objective breaking points seems to be impossible
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in the case of medium-sized objects for exactly this reason. Since the
laws are either imprecise or nonexistent, the discovery of exactlywhen an object has vanished cannot be made by checking anythingelse. Only the activity of nous, an intuitive apprehension of essence,can do this, but nous seems to tell us in this type of case that there isno precise essence.
There are probably more ways people might try to avoid the
conclusion. What I have been urging is that, apart from a resemblance
theory of reference, there is no reason to think that the conclusion isfalse and therefore to be avoided. Apart from a superficial appearanceof paradox19 and a negative emotional response to the disappearanceof loved ones, nothing blocks acceptance of the result.
It is not self-contradictory in any important sense to write this. I
regard it rather as a tractarian ladder. The predictive success of
physics gives us every reason to believe that the fundamental objectsare micro-particles. A little reflection on developments in the theoryof reference leads us to entertain the possibility that we make
massive errors in our ordinary judgements about what exists. Ourintuitions give us reason to think that intuitive persons and other
middle-sized objects are not the sort of thing that can be vanished by
extracting an atom or inducing one error. Thus, by the compulsion of
the sorites arguments, we conclude that persons and their ilk are not
any real sort of thing at all. Where we seem to see the properties and
natural kinds of the ordinary world there are only fluxing clumps of
micro-particles and continuous dimensions. The conclusion entails
that there are no persons and so no 'theory of reference' whose
results were used in the argument. But this is harmless, since theargument is a reductio ad absurdum of the 'given' world.
In the past, bad science could allow souls, spiritual substances, etc.,to be as reasonable as anything else. The main point to make about
such bizarre theories and other tempting ways out is that there is no
longer any reason to think one of them is more likely than the
conclusion reached in this paper. Logically, there is no reason to
adopt a faith or to change logic. The 'bold stroke' of accepting the
conclusion of sorites arguments is only emotionally bold. Philoso
phically and rationally, it is the most plausible course. Rescues fromthese conclusions, prima facie, are irrational, amounting to either
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blind faith in gods or unitary spirits or blind faith that science will find
water-molecule-like accounts of personhood. They are motivated bythe unpleasantness, not the implausibility, of the conclusion.20
University of Connecticut
NOTES
1I use the term 'sorites' in this paper to refer to chain-arguments with paradoxical
results, not just to any chain-argument.2
Quine, W.V., Word and Object, Ch. 2, (M.I.T. Press: Cambridge, Mass., 1960); and
Davidson, Donald, 'On the Very Idea of a Conceptual Scheme', Presidential address in
Proceedings of the American Philosophical Association, Vol. 47, 1973-74, pp. 5-20, and
'Truth and Meaning', Synthese 17, No. 3, 1967.3
This argument is made most explicitly in Richard Rorty's 'The World Well Lost',Journal of Philosophy 69, No. 19, 1972, pp. 649-665.4Wittgenstein, Ludwig, Philosophical Investigations, (The Macmillan Company: New
York, 1953).5
Austin, John, for instance 'A Plea for Excuses', in V.C. Chappell, ed., Ordinary
Language (Prentice Hall, Inc.: Englewood Cliffs, New Jersey, 1964), pp. 41-64.
6 Ryle, Gilbert, for instance 'The Theory of Meaning' in V.C. Chappell, ed., Ordinary
Language. The Chappell book, Richard Rorty's The Linguistic Turn, (University of
Chicago Press: Chicago, 1967), and Charles Caton's Philosophy and Ordinary Lan
guage, (University of Illinois Press: Urbana, 1963) give an adequate picture of the
British theory of reference.7
Davidson, Donald, 'On the Very Idea of a Conceptual Scheme', loc. cit.8
Kripke, Saul, 'Naming and Necessity', in D. Davidson and G. Harman, eds.,Semantics of Natural Languages, (D. Reidel: Dordrecht, Holland, 1972), pp. 253-355.9
Putnam, Hilary, 'The Meaning of Meaning', inMinnesota Studies in the Philosophy of
Science, Vol. 7, (University of Minnesota Press, 1975), pp. 131-193.10
Putnam, Hilary, op. cit., p. 139 if.11
Putnam, Hilary, op. cit., p. 163.12This account of what Kripke and Putnam have shown is given in Sam Wheeler's
'Reference and Vagueness', Synthese 30 (1975), 367-379.13
Wheeler, Sam, 'Reference and Vagueness', loc. cit., p. 375.14
Dennett, Daniel, Content and Consciousness (Humanities Press: New York, 1969).15
Wheeler, Sam, 'Reference and Vagueness', loc. cit.16
Unger, Peter, 'I Do Not Exist', manuscript. See also 'There Are No Ordinary Things'
Synthese, this issue. The arguments I use in applying this sorites argument-type are
condensations of his arguments.17
An example of this alternative is L.A. Zadeh's 'Fuzzy Logic and Approximate
Reasoning', Memorandum No. ERL-M479, Nov. 12, 1974. (Electronics Research
Laboratory, College of Engineering, University of California, Berkeley).18
For example, Kit Fine in 'Vagueness, Truth and Logic', Synthese 30 (1975), 265-300.19It might seem paradoxical to reach the conclusion that there are no persons, since
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there has apparently arisen the illusion that there are persons, and it would seem that
there must be real persons to have that illusion. I think the best that might be made of
persons is that there may be a dimension of instants of regions of the Platonic flux on
which the relation 'is more personal than' or 'is more intentionally active than' can be
defined. The full account of exactly what status ordinary objects and persons mighthave when they are not entities is a large topic for another paper. Roughly, if we can
imagine mistakenly that tables and computers are logical subjects, we can equally
imagine that we are logical subjects. The theory of persons this paper accommodates
resembles Hume's bundle-theory. The constituents of the bundles are instantaneous
states of complexes of micro-particles, though, rather than sense impressions. Also, no
clear ontological line divides what's in the bundle from what's out of it. Thus illusory
illusions can arise in 'personal' regions without there being any entities which are
persons.20
I would like to thank the philosophy department at the University of Connecticut,and especially John Troyer and Jerry Fodor, for helpful discussion. The paper would
not exist even on the ordinary view without the encouragement of Peter Unger and the
use of some of his arguments in the composition/decomposition sorites.