On What There Is Author(s): Willard V. Quine Reviewed work(s): Source: The Review of Metaphysics, Vol. 2, No. 5 (Sep., 1948), pp. 21-38 Published by: Philosophy Education Society Inc. Stable URL: http://www.jstor.org/stable/20123117 . Accessed: 11/12/2012 21:30 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. . Philosophy Education Society Inc. is collaborating with JSTOR to digitize, preserve and extend access to The Review of Metaphysics. http://www.jstor.org This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions THERE IS * ON WHAT A plicity. curious is its sim problem thing about the ontological : It can be put in three Anglo-Saxon monosyllables is "What there ? ?" It ? can be in moreover, answered, a word as this answer everyone will accept "Everything" to say that there is what true. However, this is merely there over cases; and so remains room for disagreement is. There the issue has stayed alive down the centuries. now that two philosophers, McX and I, differ Suppose over ontology. maintains McX there is something Suppose and I maintain there is not. McX can, quite consistently own our difference his of opinion point of view, describe certain entities. that I refuse to recognize I should by saying in his formulation of our dis protest of course that he is wrong for I maintain that there are no entities, of the kind agreement, which he alleges, for me to recognize; but my finding him wrong which with in his of our disagreement is unimportant, formulation for I am to considering in his ontology him wrong anyway. on the / try to formulate our difference When of opinion, committed I cannot admit that hand, I seem to be in a predicament. there are some things which McX countenances and I do not, for in admitting that there are such things I should be contra dicting my own rejection of them. other if this reasoning were sound, that in any the the of side suffers proponent dispute ontological negative the disadvantage of not being able to admit that his opponent disagrees with him. This is the old Platonic riddle of non-being. Non-being must in some sense be, otherwise what is it that there is not ? It would appear, This tangled doctrine might be nicknamed it has proved frequently torically tough, * This the Graduate latter March beard; his the edge of razor. Occam's before Plato's dulling paper, is a revised Philosophy in turn, was the Graduate version Club a a paper of which of Yale revised Philosophical University version of Seminary of was on May one which Princeton before presented 7, 1948. The was presented University on 15. [21] This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions 22 Willard V. Quine It is some such line of thought that leads philosophers like to impute being where otherwise McX be quite they might content to recognize that there is nothing. take Pegasus. Thus, were not, McX If Pegasus argues, we should not be talking it would be about anything when we use the word; therefore nonsense to show to say even that Pegasus is not. Thinking cannot be coherently maintain thus that the denial of Pegasus that Pegasus is. ed, he concludes that any himself McX cannot, indeed, quite persuade or a near contains of remote, space-time, region flying horse of for further details on Pegasus, flesh and blood. Pressed then, he that says is an Pegasus idea in men's minds. Here, however, for the sake of to be apparent. We may begins even a unique an is that and there concede entity, argument is the mental this is rather which implausible), entity (though are is not mental what this but entity people Pegasus-idea; when they deny Pegasus. talking about never confuses with the Parthenon the Parthenon McX a confusion is physical; is mental the Parthenon-idea to version I of have no and McX's ideas, way any (according is visible; the Parthenon-idea better to offer). The Parthenon cannot easily imagine two things more unlike, is invisible. We than the Parthenon and the Par and less liable to confusion, to Peg But when we shift from the Parthenon thenon-idea. idea. The the asus, Parthenon confusion sets in *? for no other reason than that McX and most be deceived by the crudest flagrant of Pegasus. than grant the non-being counterfeit it would must be, because other The notion that Pegasus even is not, has been seen to say that Pegasus wise be nonsense into an elementary confusion. Subtler minds, to lead McX would sooner come out with taking the same precept as their starting point, are less patently than which of Pegasus theories misguided more to difficult eradicate. One and McX's, correspondingly is named, let us say, Wyman. of these subtler minds Pegasus, his has maintains, possible. being as an unactualized Wyman we say of Pegasus that there is no such thing, we are When does not have the special that Pegasus saying, more precisely, is not actual is on that attribute of actuality. Pegasus Saying not is a par, logically, with that the Parthenon red; in saying This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What case either we are saying 23 Is There an about something whose entity is unquestioned. being who is one of those philosophers by the way, Wyman, 'exist'. Despite his in ruining the good old word have united he limits 'exist the word of unactualized possibles, espousal an illusion of ontological ence' to actuality ? thus preserving the rest of between and us who himself agreement repudiate to say, in our have all been prone universe. We his bloated common-sense word because that 'exist\ does Pegasus not exist, is no such entity at all. If Pegasus be in space and time, but only because that there meaning simply existed he would the of usage indeed has 'Pegasus' exists' has and connotations, spatio-temporal connotations. spatio-temporal If not spatio of is lacking when we affirm the existence reference a cube root is not a root of 27, this is simply because kind of thing, and not because we are being spatio-temporal temporal the cube ambiguous in our conceived effort non-existence of use 'exist'. of to appear Pegasus and However, genially agreeable, then, in Wyman, contrary grants to what we an ill us the meant insists that Pegasus is. Existence of Pegasus, by non-existence is another. The is one thing, he says, and subsistence only of issues is to give I know of coping with this obfuscation way I still I'll try not to use it again; the word 'exist'. Wyman let's get back toWyman's have 'is'. So much for lexicography; ontology. Wyman's overpopulated universe is in many ways un of us who have a taste the worst of it. Wyman's sense It offends the aesthetic lovely. but this is not for desert landscapes, is a breeding for disorderly slum of possibles elements. ground fat man in that doorway; for instance, the possible and, Take, it that doorway. Are bald man the possible they the again, same possible man, or two possible men ? How do we decide ? men are there in that doorway ? Are many possible of thin ones than fat ones ? How many there more possible them one ? their being alike make them are alike ? Or would Are no two possible things alike ? Is this the same as saying How is it is impossible for two things to be alike ? Or, finally, to unactualized the concept, of identity simply inapplicable pos sense can be found in talking of entities sibles ? But what that This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions 24 V. Quine Willard cannot be said to be identical with them meaningfully one from selves and distinct another ? These elements are well con of individual By a Fregean high incorrigible therapy but I feel cepts, some effort might be made at rehabilitation; slum and be done with we'd do better simply to clear Wyman's which it. the other modalities of necessity along with and raises upon which contingency, impossibility problems I do not mean to imply that we should turn our backs. But we can at least limit modalities to whole statements. We may as a whole, and impose the adverb 'possibly' upon a statement Possibility, and we may well worry about the semantical analysis of such usage; in is to be hoped such real for in advance but little analysis our to include so-called universe entities. expanding possible that the main motive is simply the I suspect for this expansion it would that Pegasus, old notion other e.g., must be because wise be nonsense to say even that he is not. universe of pos Still, all the rank luxuriance of Wyman's seem to come to naught when we make a slight sibles would in the example and speak not of Pegasus but of the change round square cupola on Berkeley unless If, College. Pegasus to say that he is not, then by the it would be nonsense were, same token, unless the round square cupola on Berkeley College to say that it is not. be nonsense But, unlike on cannot the round square cupola Berkeley Pegasus, College even as an unactualized we Can drive be admitted possible. a now to realm of unactualizable also impos Wyman admitting could be sibles ? If so, a good many questions embarrassing in asked about them. We hope even to trap Wyman might it would were, contradictions, by getting entities are at once round him to admit that certain of these But and square. the wily Wyman and concedes that it is the other horn of the dilemna to say that the round square cupola on Berkeley Col 'round square cupola' is is not. He says that the phrase chooses nonsense lege meaningless. Wyman of doctrine back. The Wittgenstein was not the first to embrace the meaninglessness tradition who survives, seem to share of this alternative. runs contradictions moreover, none in writers of Wyman's The away such as motivations. This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What There 25 Is to such a doctrine whether I wonder the first temptation not motivation which we have been the have may substantially no intrinsic inWyman. the doctrine has observed Certainly as to extremes its it devotees such and has led quixotic appeal; Still that of challenging a challenge dum ? the method in which of proof by reductio ad absur I seem to detect a quite striking eius ipsius. of contradic the doctrine of meaninglessness Moreover, it tions has the severe methodological drawback that it makes an ever in to test what devise effective of impossible, principle, ad absurdum reductio is not. is meaningful It would be forever impossible and what a string for us to devise of systematic ways deciding whether even to us individually, of signs made sense ? let alone other ? or not. in mathe from a discovery For, it follows people that there can be no generally logic, due to Church, test of contradictoriness. applicable I have spoken disparagingly of Plato's beard, and hinted I have dwelt at length on the inconveniences that it is tangled. matical of putting up with it. It is time to think about taking steps. in his theory of so-called Russell, singular descriptions, use seeming names showed clearly how we might meaningfully without that the entities allegedly named be. The supposing names are complex to which Russell's theory directly applies as names such 'the author of 'the present descriptive Waverly', on of 'the round France', square cupola King Berkeley College'. as fragments Russell such phrases of analyzes systematically occur. in which sentences the whole sentence The 'The they author of was Waverly a poet', e.g., is explained as a whole as wrote Waverly and meaning (better : something) . (The point of was a poet, and nothing else wrote Waverly this added clause is to affirm the uniqueness is implicit which in the word sentence The 'the', in 'the author of Waverly'.) 'The round square cupola on Berkeley is pink' is ex College 'Someone as is round and square and is a cupola on 'Something and is pink, and nothing else is round and College Berkeley square and a cupola on Berkeley College'. is that the seeming name, a des The virtue of this analysis is paraphrased in context as a so-called incom criptive phrase, plained plete symbol. No unified expression is offered as an analysis This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions 26 Willard V. Quine as a whole which the descriptive phrase, but the statement the context of that phrase still gets its full quota of mean ? whether true or false. ing statement was a The unanalyzed 'The author of Waverly a contains 'the author which is of part, poet' wrongly Waverly', to demand objective and Wyman reference supposed by McX in order to be meaningful at all. But in Russell's translation, wrote and was a poet and nothing else 'Something Waverly of was wrote the burden of objective reference which had Waverly', is now the descriptive taken over by put upon phrase of the kind that logicians call bound variables, words variables : namely, words of quantification like 'something', 'nothing', to be names These far from purporting words, 'everything'. to be of the author of Waverly, do not purport specifically names at all; they refer to entities a with of kind generally, to studied These themselves. peculiar ambiguity quantific or bound variables are of course a basic part of ational words been at least in context, and their meaningfulness, is not language, to be challenged. in no way presup But their meaningfulness or the round there being either the author of Waverly poses on or other square cupola any Berkeley College specifically preassigned Where objects. are concerned, there is no longer any descriptions in or 'There is the author difficulty denying affirming being. of Waverly' is explained as Russell 'Someone (or, meaning by more wrote and else strictly, something) nothing Waverly wrote Waverly'. is not* is explained, 'The author of Waverly as the alternation 'Either each correspondingly, thing failed to or two or more This things wrote Waverly.' Waverly is false, but meaningful; no expres alternation and it contains sion purporting to designate the author of Waverly. The statement 'The round square cupola on Berkeley College is not' in similar fashion. is analyzed So the old notion that statements write of non-being a defeat themselves goes by the board. When statement is analyzed of being or non-being Russell's by theory it ceases of descriptions, to contain any expression even which name to the in whose is purports alleged entity question, being so that thought no longer the meaningfulness of the statement to presuppose that there be such an entity. can be This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What 27 Is There rather than Now what of 'Pegasus' ? This being a word a descriptive not does Russell's immediately argument phrase, it can easily be made to apply. We have apply to it However, a as in that to way any rephrase description, only 'Pegasus' seems adequately to single out our idea : say 'the winged horse such a phrase that was captured by Bellerophon'. Substituting for can we 'Pegasus', or is', 'Pegasus then 'Pegasus of Russell's 'The to proceed is not', on precisely author the analyze of Waverly statement analogy of is' and 'The the analysis is not'. author of Waverly name or alleged name In order thus to subsume a one-word we must such as 'Pegasus' under Russell's theory of description, of course be able first to translate into a description. the word If the notion of Pegasus But this is no real restriction. had been so obscure or so basic a one that no pat translation into a descriptive we had offered itself familiar lines, phrase along could still have availed ourselves of the following and artificial :we could have appealed to the ex hypo device trivial-seeming thesi adopting, The and irreducible unanalyzable, its expression, for noun 'Pegasus' after identified the itself all with attribute verb of being 'is-Pegasus', could then be a description or Pegasus, 'pegasizes'. treated as derivative, : 'the thing that is 'the thing that pegasizes'. Pegasus', as 'pegasizes' seems If the importing of such a predicate to commit us to recognizing attri that there is a corresponding in Plato's heaven or in the mind of men, well bute, pegasizing, we nor Wyman nor McX and good. Neither have been con thus far, about the being or non-being of universals, tending, we but rather about that of Pegasus. If in terms of pegasizing can interpret a as the noun to 'Pegasus' subject description we Russell's of then have of the descriptions, theory disposed old notion cannot be said not to be without pre sense is. supposing Pegasus is now quite general. Our argument and Wyman McX we a not that statement could affirm of supposed meaningfully the form 'So-and-so is not', with a simple or descriptive sing ular noun supposition the singular that Pegasus that in some in place is now noun of seen 'so-and-so', unless so-and-so be to be quite generally groundless, in question can always be expanded . This since into a This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions 28 V. Quine Willard and then analyzed singular description, trivially or otherwise, out ? la Russell. cannot conclude, however, that man is henceforth free We commit ourselves of all ontological commitments. We outright to an ontology when numbers containing ontology numbers between 1000 and containing centaurs 1010; we we when we say there say commit are prime to an ourselves there are centaurs; to an ontology and we commit ourselves containing Pegasus to is. But we do not commit ourselves when we say Pegasus an ontology or or the author of Waverly containing Pegasus square cupola on Berkeley College when we say that or or in question is author the of the cupola Pegasus Waverly that the not. We the delusion need no longer labor under a singular term of a statement containing meaningfulness the round an entity named by presupposes need not name to be significant. the A term. An have dawned inkling of this might even without if they McX benefit of Russell ?< as so few of us do ? that there is a gulf and naming even in the case of a singular term ly a name of an object. Frege's names a certain example will term singular on Wyman and had only noticed between meaning is genuine which : the serve phrase object of spher large physical 'Evening Star' ical form, which is hurtling through space some scores of mil from here. lions of miles The Star' names phrase 'Morning first established the same thing, as was probably by some ob servant Babylonian. cannot be regarded But the two phrases as having that Babylonian could the same meaning; otherwise with and contented himself his observations on the his words. The of meanings meanings, reflecting from one another, must be other than the then, being different is one and the same in both cases. named object, which have dispensed with of meaning with naming not only made McX a continu not meaningfully repudiate Pegasus; no confusion with of doubt ing meaning naming helped engend er his absurd notion that Pegasus is an idea, a rnental entity. is as follows. The structure of his confusion He confused the with the ?word named the of alleged object Pegasus meaning must be in order that Pegasus therefore 'Pegasus', concluding Confusion think he could that the word have meaning. But what sorts of things are This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What 29 Is There one might quite point; however, as in ideas the mind, explain meanings supposing plausibly we can make clear sense in turn of the idea of ideas in the mind. ends up Therefore Pegasus, initially confused with a meaning, as an idea in the mind. thatWyman, It is the more remarkable as McX, to the same initial motivation should have subject is a moot ? This meanings avoided this particular blunder and wound up with unactual ized possibles instead. : let us turn to the ontological Now problem of universals rela the question whether there are such entities as attributes, tions, classes, are "There are. there red red houses, common-sense philosophical and roses, houses, functions. numbers, thinks enough, McX, roses, red in which sunsets, of Speaking then, characteristically this sunsets; we must have he attributes, These all agree. in something : says is pre much common; is all I mean by the attri they have in common is For McX, bute of redness." thus, there being attributes even more obvious and trivial than the obvious and trivial fact and this which of there being is characteristic I think, red houses, roses, and sunsets. This, or at that of metaphysics, least of part of : one a statement who called ontology regards metaphysics on this subject One's ontology all interprets as true at all must it as regard is basic to the conceptual scheme even experiences, the most true. trivially he by which ones. commonplace some particular scheme ? and how Judged within conceptual .? an ontological statement else is judgment ? goes possible in need of no separate without saying, standing justification at all. statements follow from all Ontological immediately manner of from ? casual statements of the point of view, anyway, is an attribute' follows 'There red red roses, and diacy are there popular anything denote is axiomatic triviality, red just ? as of McX's scheme conceptual from 'There are red houses, sunsets.' in another Judged ment which fact, commonplace conceptual to McX's be adjudged houses, roses, in common each of sundry and manner and misleading The words individual state scheme, an ontological mind may, with equal imme false. One may admit that but sunsets, of speaking, 'houses', entities except deny, 'roses', which that and they as a have 'sunsets' are houses and This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions 30 V. Quine Willard roses and each the word individual sundry red sunsets; individual whatever, roses, for nor, 'redness', 'red' or 'red object' denotes are red houses, red which in is but there not, addition, any entity or otherwise, is named by the word which and sunsets, of that entities matter, the word by 'rose 'househood', That and roses and sunsets the houses 'sunsethood'. hood', are all of them red may be taken as ultimate and irreducible, and it may be held that McX is no better off, in point of real explanatory such under for all power, names as the occult entities which he posits 'redness'. means by which McX have tried to might naturally on was us of removed his universals impose already ontology cannot of universals. McX before we turned to the problem as or we that 'red' which all such 'is-red', argue predicates concur as names each of a single in using, must be regarded at all. universal For, entity in order that they be meaningful a we have seen that being a name of something is much more He cannot even charge special feature than being meaningful. us ? an at least not by that argument ? with having posited attribute of pegasizing of the predicate by our adoption 'peg One asizes*. "Let us McX hits upon a different However, stratagem. and naming between meaning grant," he says, "this distinction so much. of which Let us even grant that 'is red', yau make 'pegasizes', etc., are not names of attributes Still, you admit whether But these meanings, they are they have meanings. to say that some and I venture named or not, are still universals, or of them might even be the very things that I call attributes, same in to much the end." the purpose something For McX, this is an unusually speech; and the penetrating it is to to counter I know admit by refusing only way meanings. to admit toward I feel no reluctance However, refusing statements not that and I words for do meanings, thereby deny are meaningful. to the letter in our and I may agree McX into and the classification of linguistic forms the meaningful as even construes though McX meaningless, meaningfulness some sense some of 'having') the having of abstract (in entity I do not. he calls a meaning, I remain free to which whereas is mean that the fact that a given linguistic utterance maintain This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What There Is 31 as I prefer to say so as not to invite (or significant, as is an ultimate and irre of entities) meanings hypostasis it in terms to analyze ducible matter of fact; or, I may undertake of what do in the presence of the linguistic people directly ingful in question utterance utterances other and to similar it. in which talk or seem The useful ways people ordinarily to talk about meanings to two : the having boil down of or sameness is which and of meanings, meaning, significance, is called giving the meaning of an utterance What synonymy. is simply the uttering of a synonym, than the original. clearer language as meanings we such, can speak in couched, ordinarily, are allergic If we of directly to as utterances sig or heteronymous or insignificant, nificant and as synonymous one with another. these adjectives The problem of explaining some with and 'significant' 'synonymous' degree of clarity and >? see as in terms is as I of behavior ? it, rigor preferably, difficult and as it is important. irreducible But the explanatory value called meanings entities intermediary of special is surely illusory. I have argued that we can use in sentences without presupposing to name. which those terms purport to now Up significantly the entities further can use general them to be names conceding further we that we that onymous or can view heteronymous terms, e.g., of abstract utterances with as one terms singular that there be I have argued without predicates, entities. I have significant, and another, without argued as syn count a realm of entities called meanings. this point At enancing to wonder whether McX there is any limit at all to our begins immunity. Does ontological nothing we may say commit us to or other entities which we may of universals the assumption ? find unwelcome a negative answer to this ques I have already suggested or in of bound variables, variables of quantific tion, speaking We ation, in connection with Russell's theory of descriptions. can very easily in ontological involve ourselves commitments, by saying, red houses e.g., and that there is something which (bound variable) sunsets have in common; or that there is some is a prime number between But 1000 and 1010. thing which in the only way we can involve ourselves this is, essentially, This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions 32 Willard V. Quine : by our use of bound variables. commitments The ontological we can use of alleged names is no criterion, for their repudiate at the drop of a hat unless namehood the assumption of a cor in in the things we affirm entity can be spotted responding are in fact altogether imma terms of bound variables. Names in connection terial to the ontological issue, for I have shown, with and 'Pegasus' that 'pegasize', names can to converted be can be that descriptions and Russell has shown descriptions, we say with help of names can be said Whatever eliminated. in a language which To be is, purely shuns names altogether. In terms of the cate and simply, to be the value of a variable. to saying this amounts grammar, gories of traditional roughly Pro that to be is to be in the range of reference of a pronoun. nouns been of reference; nouns might better have of quantification, The variables pro-pronouns. are the basic media named 'something', 'nothing', over range 'everything', our whole ontol of a particular be; and we are convicted ogy, whatever if, and only if, the alleged presup presupposition ontological our the entities over which among positum has to be reckoned true. variables range in order to render one of our affirmations it may We thereby whiteness may as e.g., say, commit that entities. some are dogs to recognizing ourselves 'Some are dogs white, either white' says not and or doghood that some and, in order that this statement things that are dogs are white; the bound variable be true, the things over which 'something' must some white include ranges dogs, but need not include dog On the other hand, when we say that some hood or whiteness. zoological species to recognizing are cross-fertile, we are committing ourselves as entities the several species themselves, abstract remain so committed at least until we they be. We though as to show the statement devise some way of so paraphrasing to species on the part of our bound reference that the seeming manner of speaking. variable was an avoidable to which in to minimize the degree If I have been seeming we our philosophical involve discourse and unphilosophical in ontological let me then emphasize ourselves commitments, as the example of primes between that classical mathematics, is up to its neck in commit 1000 and 1010 clearly illustrates, it is that the to an ontology ments entities. of abstract Thus This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What There 33 Is over universals mediaeval flared up has controversy in the modern issue is The of mathematics. philosophy clearer now than of old, because we now have a more explicit a given to decide what standard whereby ontology theory or ; a is committed form of discourse to to is committed theory to which those and only those entities the bound variables of in order that the affir the theory must be capable of referring great anew in the theory be true. standard of ontological did presupposition not emerge in the modern the tradition, clearly philosophical mathematicians have not on the whole philosophical recognized that they were debating in the same old problem of universals a newly clarified form. But the fundamental among cleavages modern of mathematics do come points of view on foundations down pretty explicitly to disagreements as to the range of en mations made Because tities this to which to refer. the bound variables should be permitted view uni three main mediaeval of points regarding are designated as versals historians realism, conceptualism, by and nominalism. these same three doctrines reap Essentially of the philosophy of math pear in twentieth-century surveys ematics under the new names logicism, and form intuitionism, The alism. as the word is used Realism, over universals, diaeval controversy or abstract entities have universals mind; the mind may discover in connection is the Platonic being them but with the me doctrine that of the independently cannot create them. as Frege, Platonists the use of condones represented by such latter-day Logicism, and Carnap, Russell, Whitehead, Church, to refer to abstract bound variables entities known and un and specifiable unspecifiable, indiscriminately. holds that there are universals but they are Conceptualism in modern mind-made. times in one Intuitionism, espoused form or another and others, Brouwer, Weyl, by Poincar?, known, to refer to abstract the use of bound variables are when entities those only capable of being cooked in advance. from ingredients As up individually specified has put it, logicism holds that classes are discovered Fraenkel intuitionism while holds that they are invented ?* a fair state ment indeed of the old opposition between realism and con countenances entities This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions V. Quine Willard 34 an it makes is no mere quibble; This opposition ceptualism. to mathematics in amount classical of the difference essential are or one to is willing subscribe. which realists, Logicists, orders of to get Cantor's able on their assumptions ascending to are with lowest order the stop compelled infinity; intuitionists even to an abandon indirect consequence, of infinity, and, as con some of the classical The modern laws of real numbers. between logicism and over infinity. disagreements troversy intuitionism arose, in fact, from echoes with the name of Hubert, associated Formalism, recourse to in deploring the logicist's unbridled intuitionism unsatisfac also finds intuitionism But formalism universals. reasons. could happen for either of two opposite tory. This formalist The classical might, mathematics; object to admitting sense of mind-made like the logicist, object to the crippling of or he might, of old, like the nominalists abstract entities at all, even in the restrained entities. The upshot is the same: the form as a play of insignificant nota alist keeps classical mathematics can still be of utility ? whatever tions. This play of notations shown itself to have as a crutch for phys utility it has already But utility need not imply significance, icists and technologists. success of sense. Nor need the marked in any literal linguistic in spinning and in finding out theorems, ob one another's with for agreement results, imply an adequate basis for agreement For, among significance. can be found simply in the rules which mathematicians govern rules be these syntactical of the notations ? the manipulation intel notations and the unlike themselves, quite significant ing, * ligible. we adopt can be that the sort of ontology I have argued ? al in connection with mathematics, notably consequential we are an to is Now how this example. adjudicate only though is not provided ? Certainly the answer among rival ontologies formula "To be is to be the value of a vari by the semantical in testing the con able"; this formula serves rather, conversely, mathematicians jective formity * Journal bases of a given See Goodman of Symbolic remark and Quine, Logic, vol. or doctrine to a prior a constructive toward "Steps 12 (1947), pp. 97422. ontological nominalism," This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What look We not in order standard. ontology know a what given There Is 35 in connection with to bound variables to know what there is, but in order to or remark ours doctrine, or someone else's, a problem involv is; and this much is quite properly says is is another what there But question. ing language. over what for In debating there is, there are still reasons there operating on a semantical One plane. reason is to escape from of the paper : the pre noted at the beginning the predicament to admit that there are things dicament of my not being able countenances So long as I adhere and I do not. which McX to McX's, as opposed I cannot allow my bound to my ontology, to McX's to refer to entities which variables ontology belong describe our dis I can, however, and not to mine. consistently the statements which McX affirms. agreement by characterizing countenances that Provided my linguistic ontology merely I can and utterances, forms, or at least concrete inscriptions sentences. talk about McX's reason to a semantical is for withdrawing Another plane in to argue. to find common ground on which Disagreement in conceptual basic disagreement involves schemes; ontology that basic these find and McX I, despite yet disagreements, in interme their our conceptual schemes converge sufficiently suc to enable us to communicate diate and upper ramifications cessfully language. on such In so as topics far as politics, our basic weather, controversy and, in particular, over ontology into a semantical about controversy upward to do with of the controv and what words them, the collapse may be delayed. ersy into question-begging should It is no wonder, then, that ontological controversy over language. But we must not jump tend into controversy on words. Trans that what there is depends to the conclusion can be translated terms is no indication into semantical of a question latability is to bear a name is linguistic. To see Naples that the question to the words 'sees Naples', which, when prefixed yields a true about still there is nothing sentence; seeing Naples. linguistic of an ontology is, I think, similar in prin acceptance of a scientific theory, say a system of ciple to our acceptance ;we adopt, at least insofar as we are reasonable, the physics into which the disordered scheme conceptual frag simplest Our This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions Willard 36 ments of ontology conceptual broadest reasonable e.g. V. Quine raw experience can be fitted and arranged. Our once we have fixed upon the over-all is determined in the science is to accommodate scheme which a which determine and the considerations sense; construction of any part of that conceptual or the physical part, are not different the biological from the tion of system which considerations the whole. of scientific the same ? guage, of an ontology. But simplicity, To determine whatever theory may but no more ? extent \>e said may a reasonable the adoption to be a matter scheme, in kind construc of of any lan be said of the adoption as a guiding in constructing con principle a not is clear and idea; and it is ceptual schemes, unambiguous a or of presenting double standard. quite capable multiple set of the most economical Imagine, e.g., that we have devised to the play-by-play of immediate reporting adequate entities under The of the values this scheme ? experience. ? bound variables individual are, let us suppose, subjective or reflection. events of sensation We should still find, no to talk scheme, purporting doubt, that a physicalistic conceptual concepts in simplifying about external offers great advantages objects, our over-all sense scattered reports. By bringing together events and treating them as perceptions of one object, we re to a manage of our stream of experience duce the complexity is indeed our The rule of able conceptual simplicity simplicity. ; sense we in to maxim data associate assigning guiding objects an earlier and a later round sensum with the same so-called two different in obedience so-called to penny, or with pennies, our in the demands of maximum total simplicity world-picture. a phen Here we have two competing schemes, conceptual one. Which one and a physicalistic omenalistic should prevail ? in its Each has its advantages; each has its special simplicity own way. to I suggest, deserves be developed. Each Each, to be the more in fundamental, may be said, indeed, though senses ; the one is epistemologically, the other phys different ically, fundamental. our account of scheme simplifies conceptual physical sense events of because the scattered way myriad experience come to be associated with still there single so-called objects; The This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions On What 37 Is There can about physical that each sentence likelihood objects into and complexly, however deviously actually be translated, are postulated the phenomenalistic objects Physical language. round out and simplify our account of the flux of entities which is no sim of irrational numbers experience, just as the introduction con the view of of From the arithmetic. of laws point plifies of rational num arithmetic scheme of the elementary ceptual and irrational of rational arithmetic the broader alone, have the status of a convenient numbers would simpler myth, and of rationals) the arithmetic than the literal truth (namely as a truth literal scattered that part. Similarly, yet containing the conceptual scheme from a phenomenalistic point of view, a than literal the convient is of physical myth, simpler objects bers that literal truth as a scattered part. truth and yet containing in or attributes of physical of classes Now what objects, sort from the of of this turn ? A platonistic is, point ontology view of a strictly physicalistic scheme, as much of a conceptual for scheme itself was as that physicalistic conceptual myth a is and useful one, This higher myth good phenomenalism. our account of physics. Since in turn, in so far as it simplifies an is the utility mathematics integral part of this higher myth, In speak is evident enough. science for physical of this myth a as of math myth, I echo that philosophy ing of it nevertheless ematics to which I alluded earlier under the name of formalism. is that an attitude of formalism may But my present suggestion the physical toward with conceptual equal justice be adopted scheme, in turn, by the aesthete pure or phenomenalist. the myth of mathematics and the between analogy some in additional and fortuitous of is, perhaps physics myth for example, the crisis which close. Consider, ways, strikingly at the turn was precipitated in the foundations of mathematics, of Russell's and other of the century, by the discovery paradox These had to be ob antinomies contradictions of set theory. our mathematical ad hoc devices; viated by unintuitive, myth The to all. of But what deliberate and evident arose between the and the undular antinomy physics accounts of light; and if this was not as out-and-out corpuscular a contradiction as Russell's I ?suspect that the reason paradox, making became ? An is merely that physics is not as out-and-out as mathematics. This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions V. Quine Willard 38 of crisis in the foundations the second great modern Again, ? there that in G?del's 1931 mathematics proof by precipitated in arithmetic ? has its are bound to be undecidable statements in in indeterminacy companion-piece Heisenberg's physics principle. to show that some common I undertook In earlier pages are fallacious. Fur in favor of certain ontologies arguments to decide what an explicit standard whereby ther, I advanced commitments of a theory are. But the question the ontological to adopt still stands open, and the ob actually Let us is tolerance and an experimental spirit. see of the much how conceptual physicalistic by to a phenomenalistic one; still physics scheme can be reduced it in toto though irreducible demands also naturally pursuing, what ontology counsel all means vious degree, natural science may be but let us also of rendered mathematics; independent platonistic into its foundations. mathematics and delve pursue platonistic various best suited schemes From among the conceptual be. to Let these us see how, various or to what pursuits, one ? the phenomenalistic ? claims from within the phenomenal Viewed priority. epistemological and of physical the ontologies istic conceptual scheme, objects The quality of myth, however, mathematical objects are myths. in this case, to the epistemological is relative; relative, point of view. This point of view is one among various, corresponding to one among our various interests and purposes. Willard Harvard V. Quine University This content downloaded by the authorized user from 192.168.72.226 on Tue, 11 Dec 2012 21:30:36 PM All use subject to JSTOR Terms and Conditions