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DEUTSCHE HOCHSCHULSCHRIFTEN Gustav Bergmann seit 1987 Collected Works Vol. I REPRINT PHILOSOPHY Modern Classics of Analytical Philosophy Edited by Rafael Hiintelmann • Erwin Tegtmeier • Kathe Trettin vol. 1 Selected Papers 1 DR. HA.NSEL-HOHENHA USE N FRANKFURT A.M. • MUNCHEN • LONDON • MIAMI • NEW YORK Bibliographische Information Der Deutschen Bibliothek GUSTAV BERGMANN Die Deutsche Bibliothek verzeichnet diese Publikation in der Deutschen Nationalbibliographie; detaillierte bibliographische Daten sind im Internet iiber http://dnb.ddb.de abrufbar Selected Works Volume I Contents The Metaphysics ofL ogical Positivism 1. Remarks on Realism................................................................. 18 2. Sense Data, Linguistic Conventions and Existence.................. 41 3. Russell on Particulars ................................................................ 62 4. On Nonperceptual Intuition..................................................... 80 5. A Note of Ontology.................................................................. 84 6. Bodies, Minds, and Acts ............................................................. 89 7. Two Types of Linguistic Philosophy......................................... 110 8. The Identity of Indiscernibles and the Formalist Definition of ©2003 DR. HANSEL-HOHENHAUSEN AG "Identity" ..................................................................................... 136 Verlag der Deutschen Hochschulschriften 9. Logical Positivism, Language, and the Reconstruction of Hanauer Landstr. 338, D-60314 Frankfurt a.M. Metaphysics.................................................................................. 145 Tel. 069-40894-0 Fax 069-40894-194 ISBN 3-8267-1231-5 Meaning and Existence ISSN 0944-7091 2003 10. Particularity and the New Nominalism .................................... 193 11. Some Remarks on the Ontology of Ockham ........................... 208 12. Professor Quine on Analyticity ............................ .................... 219 Alie Texte, etwaige Grafiken, Layouts und alle sonstigen schOpferischen 13. Intentionality ............................................................................. 224 Teile dieses Buches sind u.a. urheberrechtlich geschiltzt. Nachdruck, Speicherung, Sendung und Vervielfaltigung in jeder Form, insbesondere Kopieren, Digitalisi.eren, Sm?othing, 14. Russell's Examination of Leibniz Examined ............................. 258 J(omprimierung, Konvertierung in andere Formate, Farbverfremdtmg s?w1e Bearb~tung 15. The Revolt Against Logical Atomism ....................................... 292 und Ubertragung des Werkes oder von Teilen desselben in andere Med1en und Speicher sind ohne vorherige schriftliche Zustimmung des Verlages unzulassig 16. Frege's Hidden Nominalism ...................................................... 324 und werden verfolgt. 17. Sameness, Meaning, and Identity ............................................... 344 Gedruckt auf sliurefreiem, altenmgsbestlindigem Papier, hergestellt aus chlorfrei gebleichtem Zellstoff (rcF-Norm). Printed in Germany. 9 ERWIN TEGTMEIER INTRODUCTION Bergmann was born in Vienna (Austria) in 1906. After finishing the Gymnasium he registered at the University of Vienna. Be fore he took a Ph.D. in mathematics with a minor in philosophy in 1928, he had already been invited along with his Gymnasium class mate Kurt Godel to join the Vienna Circle, where he was especially influenced by Schlick, Waismann and Carnap. In 1929-30 Bergmann taught mathematics at a Realschule in Vienna and in the following year he went to Berlin to work as assistant of Einstein together with W. Mayer, his dissertation director. Discouraged by the discrimina tion against Jews at German and Austrian universities Bergmann re turned to Vienna to study law. He took a JD and went into a firm of corporation lawyers. When Nazi Germany annexed Austria in 1938 Bergmann emigrated to the United States with financial assis tance from Circle Member Otto Neurath. In 1939 he obtained an appointment at the University of Iowa as an assistant to the psy chologist Kurt Lewin. He was employed to develop a mathematical representation of Lewin's psychological field theory. In 1940 Berg mann became assistant professor at the Department of Philosophy, and in 1950 full professor of philosophy and psychology. During the 1960s and 1970s Bergmann had a major impact on contem porary philosophy and contemporary issues in the philosophy and methodology of psychology, attracting brilliant students who went on to teach in philosophy and psychology departments of leading universities of the United States. Bergmann and his philosophy stu dents and followers were sometimes referred to as " The Iowa School" or " The Iowa Realists". It brought national and interna tional status to a small philosophy department of a middle-sized midwestern university. From 1967-68 he served as president of the American Philosophical Association (Western Division) and in 1972 he was awarded the first named professorship in the College of Lib- 10 11 eral Arts at the University of Iowa as Carver Professor. Bergmann are two categories of existents in the world, particulars and univer retired in 1974 and died in 1987. sals, Bergmann's reconstructed formulation would hold that his In the beginning of his scientific career in Austria and Germany ideal language has two types of descriptive signs, individual and Bergmann published exclusively mathematical papers (mainly in his predicate signs. Correspondingly, the ontological question "what specialty of topology), except for one paper in the psychoanalytic exists?" is transcribed into " what is represented by the descriptive journal Imago, which dealt with literary criticism. Bergmann's early signs of the ideal language?", more precisely, " ... what is represented philosophical work concerned the foundations of psychology and by the primitive, i.e. undefined, descriptive signs of the ideal lan physics (topics were e.g. the behaviorist J.B.Watson, operationism, guage?". Bergmann takes the view that the ontologist uses "exist" in psychoanalysis, psychological measurement, psychophysics, emer a special sense such that only what is simple exists. He points out gence and quantum physics). From the early 1950s he concentrated that the ontological question "what exists?" would be utterly trivial, his research on metaphysics and ontology. He developed an onto as it is simply answered by "everything"-- if the verb "exist" is un logical system, at first a rather simple one, that became more and derstood in the customary sense. Thus he also rejects Quine's influ more complicated and sophisticated. It culminated in the posthu ential criterion of ontological commitment which takes into ac mously published "New Foundations of Ontology" and his last count only signs associated with quantifiers: to be is to be the value three papers. of a variable. Bergmann suspects that Quine is simply misled by the Bergmann gave the provocative title "The Metaphysics of Logical term "existential quantifier". Positivisr:p" to his first volume of selected papers, which appeared in Bergmann claims that the ideal language method makes possible a 1954. It suggests that the logical positivists, of which he was one, reconstruction of metaphysics. He credits Russell and the Wittgen having been a member of the Vienna circle, had an implicit meta stein of the Tractatus with the first attempts at it, even though the physics. In the selected papers, Bergmann points out that the phe Tractatus takes the Moorean discourse about the ideal language to nomenalism of some and the materialism of others of his fellow be meaningless. By "reconstruction of metaphysics" Bergmann not positivists are metaphysical views. More importantly, he claims that only deals with traditional metaphysical problems in a sound way in spite of the anti-metaphysical attitude of its advocates logical posi but also reformulates and explicates the main traditional metaphysi tivism allows one to do metaphysics and to solve, rather than dis cal positions. It is fully in the logical positivist spirit that Bergmann miss, traditional metaphysical problems. He thinks that there is expects the reconstruction to exhibit the common sense core of the merely a new method , though one that is radically new, of ap classical metaphysical answers and to show that they are not incom proaching the old questions. The new method is linguistic. It is the patible. Thus the reconstructionist need not take sides but merely method of constructing an ideal language in which grammatical and see and describe. logical form coincide and which is also designed to represent the Nevertheless, Bergmann takes sides in central metaphysical contro 1 categorial structure of the world. Bergmann remains a logical posi versies, before all, in that between materialism, phenomenalism and tivist in holding that his linguistic turn, as he has called it, is neces realism. The materialist holds that there is nothing mental, the phe sary to make metaphysics meaningful. However, he also holds that nomenalist that everything is mental, more precisely, that every metaphysical statements taken literally are non-commonsensical and thing is a sense datum or made of sense data. However, the world of meaningless. They need to be translated into commonsensical dis the realist consists of two realms, the mental and the physical, the course about an ideal language, called "Moorean discourse" by mental being capable to intend the physical as well as the mental. Bergmann. Instead of saying, e.g., in the traditional way that there Bergmann was always opposed to metaphysical materialism. As he 13 12 . If h b "a reluctant phenomenalist in the style of the same or does it fall into a series of momentary entities as Ber himse says, e egan as · · l' f h . c· 1 " d turned in the 1960ties mto a 11 rea ist t e keley and Hume thought? 4. are relations monadic or polyadic as 0 the Vienna ire e an · ·d d · I riety" In the 1950ues Bergmann consi ere Russell claimed? 5. Are sameness and diversity basic or are they de p h enomeno1 o g1ca va . . bl f h . H -1 h bl f mind to be the basic pro em o metap ysics. e rived and definable? Bergmann advocates with respect to the 5 prob t e pro em o . l · · · • I · h' · d acy of the main log1ca posmvists so ution to t is lems 1. that there are particulars and not only universals; 2. that put t h e ma equ . fl f 1 . I h 1 own to the dominant m uence o c ass1ca p enomena - properties are universal; 3. that ordinary things are series and not prob l em d . 1 H' I · · (H me) which does not admit menta acts. is own so uuon simple persistents; 4. that relations are polyadic universals; 5. that h k h d'. !gSeitlsl its Uin spiration from G.~.Moore w ~ ta es up t e act tra it10n sameness and diversity are basic and permit no criterion nor defini f Brentano and Locke. Usmg Brentano s term, Bergmann empha tion. :zes that the characteristic feature of the mental is intentionality, Bergmann's positions are diametrically opposed to those of main i.e. the directedness of the mental act towards its object. Bergmann stream analytical philosophy, especially to materialism and nomi adds a logical sign to his ideal language which is to be interpreted as nalism. Nevertheless, he reconstructs the mostly implicit ontologies "means". True sentences with this sign represent the intentional of contemporaneous analytic philosophers such as Carnap, Wittgen connection between a mental act and its object. These sentences are stein, Goodman and Ryle. taken to be analytic by Bergmann, who defends the dichotomy ana No few analytic philosophers credit Quine with a renewal of ontol lytic versus synthetic against Quine's attack and conceives of analy ogy. This is clearly off the mark if only because he never seriously .·· ticity in the narrow sense of logical truth. The problem of analytic attempts to develop an ontological system and because he frequently ity is the second basic problem of metaphysics according to Berg reveals his conviction that ontology is a matter of our conceptuali mann. It turns out to be closely connected to the first. Another zation, not a matter of the structure of the world in itself. There problem which Bergmann deals with is that of universals. He advo will occur no renewal of ontology proper and on a par with the old cates universals and rejects nominalism pointing out that a nomi ontology before the writings of Gustav Bergmann are studied more nalistic language, i.e., by his analysis of existence a language without closely. predicate symbols would be patently inadequate. This first volume of a planned three volume edition of works of With respect to all metaphysical problems Bergmann stresses the re Gustav Bergmann contains papers published during the years 1946 - quirement that they be solved within the frame of a comprehensive 1958. Although, there are 17 papers in this volume, they form only ontology, i.e., a complete categorial inventory of the world. Some part of Bergmann's papers of that time. The most important earlier times he counts the search for an ontological inventory among the papers on first philosophy have been selected, starting with two es basic problems of metaphysics and even classes it as the most basic. says which were designed to clarify the realism issue or, more pre This basic problems branches into several subproblems according to cisely, to show how positivists can preserve the common sense core the different categories. The problems which Bergmann treated in of epistemological realism. the 1950s and wich are represented ::n the present volume were The first two papers of this volume were designed to clarify the real mainly the following: 1. are there particulars as well as universals or ism issue or, more precisely, to show how positivism can preserve do ordinary things like stones and clouds consist of universals only the common sense core of epistemological realism. He holds that it as Russell thought at a certain stage of his philosophical develop is incumbent upon positivism, as upon any other serious meta ment? 2. are the properties of ordinary things universal or, as nomi physical position, to preserve the commonsense cores of all other nalists hold, particular? 3. does an ordinary thing persist as one and positions. Influenced by G.E.Moore, Bergmann takes the view that 14 15 philosophical analysis tries to reconstruct commonsense ~nd noth "Bodies, Minds, and Acts", he arrives at a primitive mental term af ing but commonsense (in a very narrow sense). The first paper ter giving a comprehensive survey of the mind-body problems, the "Remarks on Realism" which appeared in 1946 tries to recover the alternative solutions and their difficulties. He introduces primitive commonsense conviction that experience has to be founded on exis nonrelational predicates for different kinds of propositional atti tence and not, as the positivist does, the other way round. Berg tudes (traditionally called "mental acts"). These predicates combine mann offers as corresponding to positivism as well as to realism a with sentences, which is syntactically unusual in Bergmann's sym meaning criterion which derives in opposition to "current garden bolic ideal language derived from "Principia Mathematica". varieties of positivism" verifiability from meaningfulness rather The 1952 paper "Two Types of Linguistic Philosophy" discusses than vice versa. This criterion allows, as Bergmann indicates, also to formalist and antiformalist linguistic philosophy referring to Car recover the common sense core of the dualistic position. nap's "Logischer Aufbau der Welt" and Goodman's "Structure of The second paper "Sense Data, Linguistic Conventions, Existence" Appearance", on one side, and to an anthology of British analysts of 1947 criticizes Ayer for salvaging Berkeley's formula "esse est edited by A.Flew, on the other side. Formalists are accused of play percipi" by linguistic convention, by defining existence in terms of ing mathematical games for the sake of the game, some of which direct apprehension. Bergmann rejects the formula as patently and turn out to be philosophically irrelevant or even misleading and irremediably false for reasons given by G.E.Moore. He also holds it similarly antiformalists are reproached of being probers and pruners to be misplaced in sense datum language which has the mechanism' of the idiom unwilling to recognize philosophical problems and to of variables and operators, since in such a language one can speak spend themselves on puzzles that are often not relevant. about the existence of things not directly apprehended. As in the Sameness and diversity remain one of the main themes of Berg first paper, he argues that it is this mechanism which allows the mann. Under the heading "The Identity of Indiscernibles and he positivist to do justice to the common sense core of realism. Formalist Definition of "Identity"" (1953) he tries to clarify the ar The article "Russell on Particulars" which also appeared in 1947 guments for the analyticity of the respective proposition and he criticizes Russell's attempt at a particular-free analysis made in "In points to differences between philosophical and mathematical uses quiry into Meaning and Truth". The bundle-theory here advocated of the key notions such as 'definition' and 'analytic' but also 'iden by Russell, its structural roots and consequences and its ontological tity' and 'difference'. alternative remained a main theme of Bergmann's thinking. It is in Next is Bergmann's great programmatic essay of 1953 "Logical Posi teresting to compare his arguments and position with those in the tivism, Language, and the Reconstruction of Metaphysics" on the later book "Realism". linguistic method of Positivists in metaphysics. The idea of the In 1949 Bergmann published the short paper titled "On Nonpercep method finds itself already in the earlier papers of this volume but tual Intuition", borrowing a term from C.D.Broad. It is directed here Bergmann comprehensively deals with its history, problems against simple necessitating relations, including a simple relation of and contemporary solutions as well as with the loss of metaphysical causation. A succinct refutation of such relations is constructed in problems in formalism, scientism and casuism. Bergmann's main it. The short "Note on Ontology", published in 1950, compares points were that the positivist frame allowed to solve the traditional Bergmann' s conception of ideal language ontology with Quine' s. metaphysical problems and to solve them in a meaningful way by In the first paper of this volume Bergmann still holds that the ideal the ideal language method. language has only defined but no simple mental terms. In a talk at a The new nominalists referred to in the 1954 paper "Particularity meeting of the American Philosophical Association of 1952, titled and the New Nominalism" are W.V.Quine and N.Goodman. 17 16 criticizes in it the rejection of the subject predicate dis- nalism forces the multiplication of entities upon Frege. Serious flaws Bergmann . d' . · · and Goodman's category of m iv1dual. of Frege's system are brought out and his function nominalism is unction ,, The result of Bergmann's 1954 paper Some Remarks on the On- compared with Quine's common name nominalism. tology of Ockham" is that Oc~ham ~as _what r:cently is called a The last paper of this volume "Sameness, Meaning, and Identity" ·trope ontology, that Ockham s qualitative accidents are tropes (1959) summarizes not only the development of Bergmann's think (Bergmann uses the designation "instances of a quality"). ing about sameness, which is central indeed, but also that about the In "Professor Quine on Analyticity" (1955) Bergmann wants to structure of mind, another focus of Bergmann's. In Frege's difficulty show that his view of analyticity is superior to Quine's and more of the identity of meanings both problems cross over. Bergmann suitable to defend the reasonableness and usefulness of formal logic. removes the difficulty by distinguishing two uses of "same", be The paper "Intentionality", which appeared in the same year, devel tween the basic use, for which there cannot be a criterion and oped the analysis of the mental of the 1952 talk. The nonrelational "same" in the sense of "analytically equivalent". In addition, identity mental primitive predicates are turned into one relational predicate defined by Leibniz' formula of the identity of indiscernibles is M (to be read as "means"). Also, Mis not a descriptive but a logical placed as a third. Bergmann investigates the relation between the relation (or rather, as Bergmann says, a "pseudo-relation") like con two kinds of sameness and identity in a world with and without nectives as conjunction and disjunction. This revision entails an ex mind. tension of the notion of analyticity. Certain sentences involving M This is to be the first volume of a three volume selection of Berg become analytic. mann' s papers and his book "Realism". The second volume which The 1956 paper "Russell's Examination of Leibniz Examined" refers will appear later contains papers of the middle and late Bergmann. to Russell's book on Leibniz published in 1900. It treats Leibniz' ontology as a whole and Russell's reconstruction of it focusing on the problems of substance, predication, relation, and space and time. Darmstadt, Germany, October 2001 Lessons for contemporary issues are drawn. In "The Revolt Against Logical Atomism" (1957) which was prompted by a book of Urmson on the development of philosophy between the two wars examines the rejection of the logical atomism of Russell and the early Wittgenstein and metaphysics in general ini tiated by the later Wittgenstein. Bergmann defends logical atomism and points out the mistakes its adversaries (particularly their confu sions about meaning) and the connections of these to 19th century idealistic philosophy. In "Frege's Hidden Nominalism" (1958) Bergmann diagnoses an implicit nominalism insofar as Frege does not secure full ontological status to functions which have to ground characters. The mapping by Frege's functions is contrasted to the exemplification of univer sals in Bergmann's universal-realistic ontology and a connection be tween mapping and nominalism is shown as well as how the nomi- 18 19 THE METAPHYSICS OF LOGICAL POSITIVISM (among other things) upon existence. To be sure, this is but a bare and crudely formulated schema of an issue that has been argued for a long time. Also, contemporary analysts REMARKS ON REALISM \\' for the most part do not discuss the issue directly; they give their attention to preliminary and, therefore, more funda mental questions. Like experienced chess players, who know to which characteristic situations in the middle game certain openings will eventually lead, we try to convince each other POSITIVISTS and phenomenalists of all sorts maintain, and of the excellence of our respective openings. There is, in par long have maintained, some variant of the following thesis ticular, one fundamental or opening move that is now widely concerning the existence of physical objects: Such statements discussed and which, I believe, most of us examine with a as 'There is (exists) now a wall behind my back' are synony view to the position in which we shall find ourselves-in the mous with a class of statements of which the following is middle game-with respect to the realism issue. I refer to representative 'If I shall turn my head (have certain kinaes the clarification of the relations between meaning and veri thetic experiences), then I shall also have the visual experi fication 1 or, to put it the way positivists do, to the formula ence called 'seeing a wall'.' This amounts to proposing what tion of an adequate meaning criterion. Let me indicate the many of us call a philosophical analysis of 'exist' or, more connection between these questions and the crude schema I precisely, of one meaning of 'exist'; for the thesis implies that have given for the realism issue. According to current gar this verb, in the sense in which we use it when we say 'This den varieties of positivism, a statement is (empirically) wall exists', is dispensable in the sense of being definable. meaningful if it is verifiable by (future) experience. 'There Realists, who oppose the thesis, hold that 'exist', in the sense is a wall behind my back' is, in this view, meaningful because mentioned, is what I would call an undefined descriptive it is synonymous with a class of statements each of which is predicate; and then they go on to recommend that instead verifiable by future experience. More pointedly, the familiar of defining existence in terms of what we (shall) see, we had common-sense statements about the existence of physical better say that we shall, if we turn, see a wall because there objects are considered as meaningful because they are verifi is a wall (and because we have put ourselves in a position to able. This has again the subjectivistic ring realists dislike so perceive it). Thus one could say, perhaps, that the realists much; so they may again be inclined to convert the positiv wish to convert the positivistic position; instead of founding istic position, if only tentatively and because they feel existence upon experience, they want to found experience that a piece of realistic common sense would thus be pre 0 Philosophy of Science, 13 (October, 1946), 261-73. Reprint~d by served. But to make the conversion is to say that 'There permission. 1 'Verification' is used in its generic sense which includes falsification and, if you please, also confirmation and its opposite. 20 21 REMARKS ON REALISM THE METAPHYSICS OF LOGICAL POSITIVISM is a wall behind my back' is verifiable because it is mean paper I propose to analyze, as another partial clarification, ingful. another group of interrelated questions. But I have still to One of the conclusions of the following analysis may b~ ex explain why I have, in this introductory statement, singled pressed by saying, as the realists do, that the familiar state out a result which some will be inclined to regard as a mere ments about the existence of external objects are verifiable verbalism, and a trifling one at that, namely, that we should because they are meaningful-and I shall arrive at this con say, and as positivists may say, that certain statements are clusion within the framework of my own positivistic position. verifiable because they are meaningful, rather than to say But perhaps I had better explain why I believe such a that they are meaningful because they are verifiable. "verbal" concession to be important when it occurs in the The point has something to do with my views on the na context of what is, after all, a positivistic position, and also ture and function of philosophical analysis. Whether or not what in my opinion constitutes a positivistic position on the philosophical analysis is, as many believe, definitional recon realism issue. To begin with the second question, a positivist struction is not at the moment my concern, though I think will ( 1) embrace the thesis that has been stated in the open that as such sweeping formulae go, this one is rather sug ing sentence of this paper, and he will ( 2) distinguish two gestive. But while we may not know exactly what reconstruc meanings of 'exist'. The first meaning is that in which the tion is, there is, to my mind, no uncertainty about what it is term occurs in 'This wall exists (This is a real wall)'; this that we wish to reconstruct. Philosophical analysis tries to meaning we have, in ( 1), analyzed and thus, in a well-known reconstruct ordinary common sense and nothing but ordinary sense, rejected. In its second meaning the term occurs in common sense. In arriving at this opinion I have been greatly descriptions, that is, in the phrase 'There is (exists) a such influenced by G. E. Moore; so I shall, as a means of explicat and-such', which we symbolize by combining the prefix 'E' ing it, indicate where I disagree with what I take to be his with a bound variable. This phrase, thus symbolized, belongs views on the matter. ( 1) I wish to circumscribe common to the logical or nondescriptive skeleton of our language; its sense so narrowly that all philosophical statements, no mat use is, therefore, by no means prejudicial to one's position ter how inchoate or naive, remain excluded. 'This is a real on the realism issue while, on the other hand, failure to dis wall' is, .according to this view, a common-sense statement; tinguish between the two meanings of 'exist' confuses that 'Walls are real' is a border case, to say the least. ( 2) I would issue beyond repair. One of the pecularities of the situation is insist that while the reconstruction of common sense is our that positivists who neglect the distinction are virtually goal, our analysis (or reconstruction-that amounts to the forced to accept the patently absurd meanings of the ambigu same thing) need not and, as a rule, will not itself be ous formula esse est percipi. All this I discuss elsewhere, 2 as commonsensical. ( 3) Reconstruction is, in a certain sense, one partial clarification of the realism issue; in the present purely linguistic. This means two things to me and I shall, in order to explain them, use the case at hand. (a) In recon 2 "Sense Data, Linguistic Conventions, and Existence," Philosophy of Science, 14 (April, 1947), 152-63, and also following this article. structing such words as 'real', 'meaningful', 'verifiable'- terms 23 22 THE METAPHYSICS OF LOGICAL POSITIVISM REMARKS ON REALISM ·n some of their usages to the language of schema, 'There is a such-and-such', and the various schemata that beI ong on I Y 1 . · h · e must not be expected to vmd1cate t e1r for universal statements, such as 'Every so-and-so is a such common sense-W · al meanings that is, to reconstruct sentences in and-such' are all well formed, while 'This exists (Ea)' and metaph ys1c ' which they occur and which, though they belong to our 'green exists ( Ef1)' are not. 3 The second part of the criterion hilosophical tradition, do not belong to the language of is what I have elsewhere 2 called a Principle of Acquaintance ~ommon sense. ( b) We shall be the more successful the more (abbreviated: PA). I shall state it for a sense data language, closely we reproduce, in talking about our reconstructed lan- that is, for a language whose particulars (proper names) uage, the verbal patterns of our common usage in all those refer to the sort of momentary givennesses many philosophers ~ases where this usage does lie within, or very close to, the call sense data and whose undefined predicates (of the first limits of common sense. In this sense, I agree with the realists, type) designate qualities of and relations between sense the schema 'verifiable because meaningful' does preserve a data. Stated for this language, the PA requires ( 1) that a piece of "realistic" common sense, which the converse seems particular is to occur in a statement only if its referent is to abandon. And in this sense, I feel, it is incumbent upon immediately apprehended-in perception, memory, or imag positivism, as upon any other serious metaphysical position, ination-by the speaker; and ( 2) that an undefined predicate to preserve the common-sense cores of all other positions. is to occur in a statement only if at least one exemplification of it is known to the speaker. Thus, if 'green' and 'square' I are, by assumption, two undefined predicates with which the The meaning criterion I propose has two parts. To be speaker is acquainted while he has never seen a green square, :meaningful, a statement is, first, required to have a certain then the two propositions 'There are green squares' and 'All for:nJ· It must be what logicians call a well-formed sentence squares are green' are both meaningful for him, though he is, according to the (syntactical) rules of that logic which, as for obvious reasons, not likely to entertain the latter. The we have overwhelming reasons to believe, is in fact the logic customary example is 'There are centaurs', or something like of the language that we all speak about the world, or-to put that, rather than 'There are green squares'. But I do not yet it even more cautiously-which would become the logic of want to mention physical objects. So much for the proposed our language, if that language could be perfected in the version of the meaning criterion. It restores, quite generally direction perfection has been sought during the past decades and not just for certain statements about physical objects, of analytical labor. This logic is a subject-predicate schema an important piece of common sense, for it allows us to say with an unramified type rule, and it contains the ordinary unambiguously that when a proposition is meaningful, it is connectives ('and', 'or', etc.) as well as operators and vari so by virtue of what we know when we entertain it. Now for ables ('all', 'some'); it is, in brief, the logic of the noncon some comments and explanations. troversial parts of Principia Mathematica. This part of the a Symbols with subscripts, such as 'f1', stand for constant predicates; 'f' criterion has the familiar consequence that the existential is always a variable.

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