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Philip Reynor May ‘05
Quine’s Defence of Ontology against Carnap
Philip Thomas Reynor_____________________________________________________________________
In analysing the ontology’s of Quine and Carnap some
arresting resemblances between the two standpoints emerge, which
Quine himself recognizes1, and it the main aim of this paper to
investigate how ingrained these resemblances are. Once the
degree of resemblance or non-resemblance has been established, it
will be apparent how far Quine has to reach in order to defend his
ontology. I intend to show that his reach does not have to extend
incredibly far. In fact, through the course of the investigation it
becomes evident that instead of mounting a defence against Carnap
what Quine is attempting is an examination, one that instead of
creating a gulf will create a bridge and an attempt at a unified
ontology. The problem of explaining and assessing Quine’s defence
then revolves into the problem of explaining and assessing the
value of Quine’s attempt at unification. The brilliance of Quine’s
method of defence is that he renders the situation such that there is
nothing in need of defence. Is it necessary to organise a defence, or
an attack, against something with which you agree? Certainly not,
instead of an attempt at defence Quine opts for an approach that
that is favourable for both ontology’s. Why argue for one theory
against another when it is possible to argue for both by accepting
reconciliation. If this reconciliation can be achieved through unified
theory, there is no need to defend at all. However, how successful is
Quine in his attempts at defence through unification? First, I will be
forwarding Quine’s ontology and his use of a traditional defence
1 In his paper called ‘Carnap’s Views on Onology’, in ‘The Ways of Paradox and other essays’ (see bibliography).
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Philip Reynor May ‘05
against problems such as Plato’s beard; after this, I will examine the
apparent divergences of the two theories and finally I will
investigate how Quine maintains his defence through reconciliation
and whether it is a lucrative course of action.
In Quine’s paper On What There Is we see him argue in
defence of his ontology against two fictional characters of his own
imagination. When defending his ontology against Carnap in his
earlier paper On Carnap’s Views on Ontology we are witness to a
distinctly contrary approach to defence, mentioned above, which I
will be getting to later. Firstly, let us look at Quine’s ontology as
expropriated from On What There Is. He begins with the problem of
Plato’s beard the tangled doctrine of non-being. Quine and his
fictional debating partner ‘Mr X’ differ in their ontology’s; ‘Mr X’
maintains that there is something, an entity, which Quine maintains
there is not, and thus the problem arises. With respect to Quine’s
formulation of the problem, he cannot without contradiction claim
that ‘Mr X’s’ entity is not, i.e. ‘Non-being must in some sense be,
otherwise what is it that there is not?’2Quine sustains that this is
confusion on the part of ‘Mr X’ who must admit that a physical
being, such as Pegasus, does not exist and instead must posit being
for the mental Pegasus-idea. However, this same ‘Mr X’ would never
suffer confusion regarding the Parthenon and Parthenon-idea, so
why tolerate it with Pegasus and why not just admit to the non-
being of Pegasus. Enter Quine’s second apparent opponent ‘Wyman’
who upholds the being of Pegasus as an unactualized possible.
‘Wyman’ admits to the non-existence or non-actuality of Pegasus
while simultaneously maintaining that it is. Quine then decides to
‘clear Wyman’s slum (of possibles) and be done with it’. ‘Wyman’
can hardly admit ‘the round square cupola on Berkeley College’ as
an unactualized possible instead he claims that it is meaningless.
2 Ibid, p.1.
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Philip Reynor May ‘05
Now, to attempt an entanglement of Plato’s beard Quine utilizes
Russell’s theory of singular descriptions.
When a statement of being or non-being is analysed…it ceases to contain
any expression which even purports to name the alleged entity whose
being is in question, so that the meaningfulness no longer can be thought
to presuppose that there be such an entity.3
So now, in place of the meaningless ‘Pegasus’ we can use the
descriptive phrase ‘the winged horse of Bellerophon’; and if there
were no descriptive phrases available for Pegasus we could simply
substitute ‘is Pegasus’ or ‘pegasizes’, thus cutting off and disposing
with Plato’s beard. It can now be safely said that we do not commit
ourselves to an ontology containing ‘Pegasus’ if we commit
ourselves to ‘Pegasus is not’.
We now come to the beginning of the conflict between Carnap
and Quine. The essential difference between teacher and student
breaks down to this – Carnap’s dichotomy consists of a ‘fundamental
distinction between the two kinds of questions concerning the
existence or reality of entities’4 and Quine disagrees. Quine’s
undivided idea develops from his opposition to ‘Mr X’ and ‘Wyman’
when he investigates the problem of universals.
When we use the word ‘similar’, without defining it in any anterior terms,
do we thereby commit ourselves to the acceptance of an abstract entity
which is the relation of similarity.5
How do we discover if we are committing ourselves to abstract
entities? The anti-nominalist claims that in using a general term
such as ‘fish’ we are alluding to abstract entities. On the other hand,
the nominalist would believe they are referring to a concrete
3 Ibid, p.7.4 Supplement ‘A’ ‘Empiricism, Semantics and Ontology’ from Carnap’s ‘Meaning and Necessity’, p.206.5 Ibid, p.204.
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Philip Reynor May ‘05
particular ‘fish’ and not committing themselves to naming an
abstract ‘fishhood’. In addition, when we say that the word ‘similar’
is true of each ‘X’ with regard to each ‘Y’ we do not however name a
relation of similarity. How could ‘fish’ or ‘similar’ be put on level
terms with ‘Dublin’ or ‘Morning Star’? Even if the nominalist is found
guilty of using the word ‘fishhood’, they could easily claim to be
alluding to the general term and not the abstract entity. However,
‘Mr X’ may counter with the claim that ‘fishhood’ has meaning and
is still a universal and ‘Mr X’ believes we commit ourselves to
abstract entities in this way. Nevertheless, by examining the
difference between meaning and naming, we find a gulf. Using
Frege’s example of the phrases ‘Evening Star’ and ‘Morning Star’,
we find that both phrases name the same entity but have a different
meaning. Quine, in response, must refuse to admit meanings, but in
doing so, he does not deny the meaningfulness of statements and
can still ‘view utterances as significant’ without supporting a domain
of meanings. He also denies a commitment to entities by the use of
alleged names that are quickly dismissed as ‘admissible without
claiming to name’.6
Are there any entities that we commit ourselves to in a given
theory? By utilizing the phrases ‘there is a number between one and
ten’ or ‘there are brown cars’ are we not implying that there are
abstract entities and physical objects respectively.
…the objects we are to be understood to admit are precisely the objects
which we reckon to the universe of values over which the bound variables
of quantification are to be considered to range.7
Thus, to answer the earlier question, the entities we are
committing ourselves to, according to Quine, are bound variables of
quantification and not alleged names. The entities over which these
bound variables range are the ones that are true for a given theory.
6 Ibid.7 From Quine’s ‘Word & Object’, p.242.
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Philip Reynor May ‘05
Using bound variables, we have full reign to commit to entities that
we cannot name, as it has already been shown that names can be
abolished with Russell’s theory of descriptions. ‘To be assumed as
an entity is…to be reckoned as the value of a variable’8 However, in
determining what entities we are allowed to presuppose i.e. what
there is, we see the dichotomy of Carnap which I mentioned earlier.
In Quine’s essay Carnap’s Views on Ontology, he places questions of
the being of a number between one and ten or of there being brown
cars on one side of Carnap’s dichotomy and questions of physical
entities or abstract entities on the other. Quine, however, does not
acknowledge this distinction and instead unifies the dichotomy by
blurring the distinctions and allying the two question types. In
Carnap’s paper Empiricism, Semantics and Ontology, the dichotomy
is at it most prevalent in the discussion concerning the framework
of the language.
If someone wishes to speak in his language about a new kind of entities,
he has to introduce a system of new ways of speaking, subject to new
rules; we shall call this procedure the construction of a linguistic
framework for the new entities in question. And now we must distinguish
two kinds of questions of existence: first, questions of the existence of
certain entities of the new kind within the framework; we call them
internal questions; and second, questions concerning the existence or
reality of the system of entities as a whole, called external questions.9
Now that I have forwarded Carnap’s ontological dicotomy, I will
proceed to explicate Quine’s method of reconciliation between
Carnap’s ontology and his own. Quine begins by reinterpreting
Carnap’s external and internal distinction as a distinction between
category questions, which ‘exhaust the range of a particular style of
bound variables’10and subclass questions, which do not exhaust the
range. However, Quine does re interpret the terminology used by
Carnap that the analytic type of internal question is contained, in
8 From Quine’s ‘From a Logical Point of View’, p.13.9 Carnap, ‘Meaning and Necessity’, p.206.10 Quine, ‘The Ways of Paradox and other essays’, p.207.
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Philip Reynor May ‘05
Quine’s formulation, within the subclass range. Quine holds that if
we use a single style of variables to encompass the whole range of
entities then questions of numbers, classes, and physical objects all
become subclass questions, thus trivialising11 Carnap’s dichotomy
into the problem of whether to use one or two styles of variables.
He argues further against the compartmentalisation of variables by
utilizing Zermelo’s set theory12 under this theory all questions of
numbers or physical and abstract entities become subclass
questions. However, under a strict adoption of Russell’s theory of
types13 the problem remains until we take Russell’s method of
typical ambiguity and exploit it to its full potential discarding the
use of a distinct style of variables for every and all types. In this
way, Quine has shown that Carnap’s dichotomy is trivial, and thus
reconciled the two ontology’s even under the adoption of the theory
of types. With regard to Carnap’s paper Empiricism, Semantics and
Ontology Quine has shown that it is possible to eradicate the
distinction without damaging its philosophical aims.
I have shown how Quine defends his theory against opponents
like ‘Mr X’ and ‘Wyman and also how he achieved what he set out
to and reconciled his ontology with that of Carnap’s rendering a
negligible need to defend against an ontology that ‘commits’ to the
same entities as his own. Nevertheless, the wound was stitched by
the re-interpretation of Carnap’s terminological distinction between
external and internal questions. However, this does not affect
Carnap’s formulation in any major respect; for the introduction of
his framework he to admits that entities of the new kind, as internal
11 Quine explains this triviality mathematically. He states that ‘…the difference between using the explicit hypothesis ‘x is a real number between 0 and 1’ and introducing the restricted variables is so negligible that at the level of ordinary mathematical writing it cannot usually be detected; nor is there any reason why it should be detected.’ Quine, ‘The Ways of Paradox’, p.208. 12 Zermelo’s axiomatization of set theory classified the existence of sets regulated by a predicate to just those sets whose members were members of a given set and satisfied the predicate.13 A proposition relating to other propositions must, Russell says, be of another type from, a higher order then, the proposition it is about. So we must say that the classes of all first order classes which are not members of themselves are a second order class, thus it is nonsense to say that a class is or isn’t a member of itself.
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Philip Reynor May ‘05
within the framework, are substitutable for variables and using
these variables sentences of the new kind can be generated. If the
internal questions concern the existence of entities of the new kind,
mentioned above, then Quine’s subdivision must lead to an
analytic/synthetic distinction between category and subclass
questions within the internal framework. This further implies that
external category questions, which are synthetic, can be abandoned
in favour of internal subclass questions. Essentially questions about
the reality of the thing world or the system of entities can be
formulated as internal subclass questions. The problem for Quine
now lies with the quandary of the analytic/synthetic distinction. In
the paper Two Dogmas of Empiricism Quine attempts to prove that
there is no distinction, Carnap however would appear to disagree
until we look at his formulation of the connotative, propositions of
meaning, and formal, syntactical propositions. It is possible to view
connotative as synthetic and formal as analytic modes of
expression, and in On the Character of Philosophical Problems
Carnap, so as not to cut the branch he sits on, reduces all
propositions to the formal mode while retaining their
meaningfulness. In this way, he too is blurring the lines between
analytic and synthetic proposition and in a sense bestowing the
reconciliation upon Quine.
Bibliography:
Carnap, R; ‘Meaning and Necessity’; Chicago University Press
(Chicago 1988).
Carnap, R; ‘On the Character of Philosophical Problems’ reprinted in
‘The Linguistic Turn’; ed: Rorty, R; Chicago University Press
(Chicago 1967).
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Philip Reynor May ‘05
Flew, A (ed.); ‘A Dictionary of Philosophy’; Pan Books Limited
(London 1979).
Quine, W.V.O; ‘From a Logical Point of View’; Harvard University
Press (U.S.A 1980-1996).
Quine, W.V.O; ‘The Ways of Paradox and other essays’; Harvard
University Press (London 1997).
Quine, W.V.O; ‘Word & Object’; M.I.T Press (U.S.A 1996).
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