School of Athens

Theory and History of Ontology

by Raul Corazzon - e-mail: raul.corazzon[at]formalontology.it

For an overview see the Index of the Pages, the SITE MAP or the Alphabetical Index of the Philosophers: A-F - G-O - P-Z; You can also download this page as Ontology in PDF format

Table of Contemporary Ontologists Ontology. Table of Ontologists (click on the image to see the PDF file)

Bertrand Russell's Ontological Development

 

"It was Frege and Russell, not Wittgenstein or Quine, who began what may be called the ontology of the analytic tradition."

Jan Dejnožka - The ontology of the analytic tradition and its origins - p. 149

Index of the Section: "The Rediscovery of Ontology in Contemporary Thought"

 

INTRODUCTION

"Russell, in Principles of Mathematics, may seem to be a radical relativist. I quote this text again:

Numbers cannot be asserted of objects, because the same set of objects may have different numbers assigned to them...; for example, one army is so many regiments and such another number of soldiers. This view seems to me to involve too physical a view of objects: I do not consider the army to be the same object as the regiments. (Principles of Mathematics [POM] 519). 

Alternatively, in that every application of a concept 'presupposes numerical diversity', in that every entity has its own immediate identity, Principles suggests a radical realism. The one thing Principles seems to not to be is modified realism, since Russell expressly denies the distinction between real distinction and conceptual distinction (POM 466). But this denial seems quite disingenuous in light of his own distinction between empirical (or actual) existence and mathematical (or logical) existence.

Surely the truth is that Principles indulges in a rich and complex modified realism. Spatial, temporal, and material points are kinds of terms which differ only immediately. (...)

Consider also Russell's distinction in Principles between actual existence, existence, and mere nonexistent being, in order of progressively muted substance substitutes. Empirical existents are much like Frege's concrete objects, existents are much like Frege's abstract objects. Logical existents seem real than empirical existents, but more real than nonexistent beings. Spatiotemporal reals (points and instants) seem to be in between empirical existents and logical existents, since empirical evidence determines the geometry actual world. Being is the general status of which the foregoing are kinds. Objects roughly include both terms and classes as many (POM 55n). Terms are simply beings. Classes as many have mathematical existence, or better, logical existence. Properties and relations are probably hybrid classifications, since some are empirically given and others are logico-mathematical. Possibly there are similar gradations of ontological status among nonexistent chairs, nonexistent material points, nonexistent colors, and so on, though possibly they are all just nonexistent entities. Russell does not address that question.

(...)

Russell rejects substances and essences in the traditional sense. But he admits six sorts of beings or substances, or substance substitutes: (1) All entities, including both being and existence, have timeless being in 1903. (2) Universals' have being in 1912. (3) Being is general timelessness in 1914. (4) Being is logical atoms in 1918. (5) Being is object words in 1940. (6) Being is qualities (particulars, not universals) in 1940-59. 1 described these six sorts of being in my Erkenntnis paper (Dejnožka 1990). In addition, Russell admits two substitutes for material substances: (7) Ordinary physical things are causal lines in 1927-59 (The analysis of matter [AMA] 285; Human Knowledge: its scopes and limits [HK]  453-60, 489-90; My Philosophical development [MPD] 146-47). 'Thus the persistence of substance is replaced by the persistence of causal laws" (AMA 285). (8) Space-time structures are what are probably real in 1927-59 (AMA 249-57; HK 250-66, 460-75, 491-92; MPD 147-48). Russell speaks of 'substantial structures' which replace 'pieces of matter' and also of structures of events (HK 461). Of course, (7) and (8) overlap; a causal line is an instantiated structure.

In his 1914-18 philosophy of logical fictions, in which particulars (sense-data) or perhaps simples are alone real, Russell may seem a radical realist. Bodies, numbers, and minds (except one's own mind) are logical fictions with fictitious identities. And 'there is no such thing as a fiction' (The Philosophy of Logical Atomism [PLA] 189). In 1919 this virtually becomes Hume's neutral monist distinction between impressions and fictions. Like Hume's impressions, Russell's particulars are real beings. Each can logically happen to be the whole universe. But instead of admitting distinctions of reason within lone sense-data, as Hume does within impressions, Russell admits "parts" which, if you attend to them, become 'new' data (new real beings) in their own right (PLA 203; see On the relation of universals and particulars [RUP] 114 and An inquiry into meaning and truth [IMT] 334). Much as with Frege, this is a shifting of phenomenological real identities over time sans any shifting of concepts. Russell assigns particulars the 'logical position' of substances (PLA 204). Particulars are mind-independent (1a), essentially complete (1b), ultimate logical subjects of predication (1c), logically independent (1d), given in acquaintance (l1), the unchanging building blocks in the logical construction of changes (1f), and have phenomenologically real identities as opposed to the conceptual identities of logical fictions (1g). Criterion (1) seems fulfilled-but for radical realism, since logical fictions are said to exist only in a purely nominal sense.

Nonetheless, I classify the 1914-18 Russell as a modified realist. For there is that exception to logical fictions, one's own mind, which ought to be in some sense more substantival than sense-data, despite everything Russell says about sense-data as being as real as anything can be. Only the 1921 Russell's neutral monism, in which even one's own mind is a construction, seems a truly radical realism. It is also worth noting that as series of classes of sensibilia, two constructed bodies are really distinct in sense (2) just in case they have no sensibilium in common.

The 1914-21 Russell's constructionism (this includes neutral monism), in sting unsensed sensibilia to account for perception and physical lawfulness, a scientific explanatory realism. It is also a phenomenological realism in that se-data are physically real events. And third, it is a methodological realism. Analyses end with sensed entities, if not with entities known to be simple.

Russell's 1927-59 representational realism meets criterion (3) of explanatory modified realism. It is a kind of scientific realism. In The Analysis of Matter, Russell defends realism against radical reductionism. He says, "There are many possible ways of turning some things hitherto regarded as 'real' into mere laws concerning the other things. Obviously there must be a limit to this process, or else all the things in the world will merely be each other's washing" ([AMA] 325). Russell says, "We must find some reality for the electron, or else the physical world will run through our fingers like a jelly-fish" (AMA 319). Thus physical structures such as electrons are not mere logical fictions. Indeed, two electrons are really distinct in sense (2) if they have no constituent event in common (AMA 288). Yet Russell reserves metaphysical status for the events which compose electrons, and ultimately for whatever entities may comprise the final interpretation of physics (AMA 2, 9). This suggests a modified realism in which instantiated physical structures are real facts, but are less real than any ultimate, i.e. simple, constituents they may have."

From: Jan Dejnožka - The ontology of the Analytic tradition and its origins. Realism and identity in Frege, Russell, Wittgenstein, and Quine - Lanham: Littlefield Adams Books 1996. (Paperback edition reprinted with corrections, 2002; reprinted with further corrections, 2003) pp. 244-247

 

STUDIES ABOUT HIS WORK

  1. The philosophy of Bertrand Russell. Edited by Schilpp Paul Arthur. Lasalle: Open Court 1944.

     

  2. Bertrand Russell philosopher of the century. Edited by Schoenman Ralph. London: Allen & Unwin 1967.

     

  3. Essays on Bertrand Russell. Edited by Klemke Elmer D. Urbana: University of Illinois Press 1970.

     

  4. Bertrand Russell 1872-1970. Revue Internationale de Philosophie 102 1972.

     

  5. Bertrand Russell's philosophy. Edited by Nakhnikian George. London: Duckworth 1974.

     

  6. Bertrand Russell's early philosophy. First Part. Synthese 45 1980.

     

  7. Bertrand Russell's early philosophy. Second Part. Synthese 46 1981.

     

  8. Antinomies and paradoxes. Studies in Russell's early philosophy. Russell 8[1-2] 1988.

     

  9. Rereading Russell: essays in Bertrand Russell's metaphysics and epistemology. Edited by Savage Wade C. and Anderson Anthony C. Minneapolis: University of Minnesota Press 1989.

     

  10. Russell and analytic philosophy. Edited by Irvine Andrew D. and Wedeking Gary. Toronto: University of Toronto University Press 1993.

     

  11. Bertrand Russell and the origins of analytical philosophy. Edited by Monk Ray and Palmer Anthony. Bristol: Thoemmes Press 1996.

     

  12. The Cambridge Companion to Russell. Edited by Griffin Nicholas. Cambridge: Cambridge University Press 2003.

     

  13. On denoting 1905-2005. Edited by Linsky Bernard and Imaguire Guido. München: Philosophia Verlag 2005.

     

  14. Russell vs. Meinong. The legacy of "On Denoting". Edited by Griffin Nicholas and Jacquette Dale. New York: Routledge 2008.
    Contents: Preface XI; Acknowledgements XIII; Dale Jacquette and Nicholas Griffin: Introduction 1; 1. Alasdair Urquhart: Logic and denotation 10; 2. Graham Stevens: Antirealism and the theory of descriptions 26; 3. Francis Jeffrey Pelletier and Bernard Linsky: Russell vs. Frege on definite descriptions as singular terms 40; 4. Kevin C. Klement: A Cantorian argument against's Frege and early Russell's theories of descriptions 65; 5. Gideon Makin: 'On denoting' appearance and reality 78; 6. Omar W. Nasim: Explaining G. F. Stout's reaction to Russell's 'On denoting' 101; 7. David Bostock: Russell on 'the' in plural 113; 8. Johann Christian Marek: Psychological content and indeterminacy with respect to Being: two notes on the Russell-Meinong Debate 144; 9. Dale Jacquette: Meditations on Meinong's Golden Mountain 169; 10. Nicholas Griffin: Rethinking Item Theory 204; 11. Peter Loftson: Contra Meinong 233; 12. Gabriele Contessa: Who is afraid of imaginary objects? 248; 13. Gregory Landini: Russell's definite descriptions de re 266; 14. Michael Nelson: Quantifying in and Anti-Essentialism 297; 15. Nathan Salmon: Points, complexes, complex points, and a yacht 343; Contributors 365; Index 369.

     

  15. Anderson Anthony C., "Some difficulties concerning Russellian intensional logic," Noûs 20: 35-43 (1986).

     

  16. Bencivenga Ermanno, "Le descrizioni e il problema ontologico," Rivista di Filosofia 65: 227-249 (1974).

     

  17. Bergmann Gustav, "Russell on particulars," Philosophical Review 56: 59-72 (1947).
    Reprinted in: Elmer Daniel Klemke (ed.) - Essays on Bertrand Russell

     

  18. Bergmann Gustav, "The revolt against Logical Atomism (First part)," Philosophical Quarterly 7: 323-339 (1957).
    Reprinted in: Elmer Daniel Klemke (ed.) - Essays on Bertrand Russell

     

  19. Bergmann Gustav, "The revolt against Logical Atomism (Second part)," Philosophical Quarterly 8: 1-13 (1958).
    Reprinted in: Elmer Daniel Klemke (ed.) - Essays on Bertrand Russell

     

  20. Bonomi Andrea, "Existence, presupposition and anaphoric space," Journal of Philosophical Logic 6: 239-267 (1977).

     

  21. Bourgeois Warren, "Beyond Russell and Meinong," Canadian Journal of Philosophy 16: 653-666 (1981).

     

  22. Butchvarov Panayot, "Our robust sense of reality," Grazer Philosophische Studien 25/26: 403-421 (1986).

     

  23. Butchvarov Panayot, "Russell's views on reality," Grazer Philosophische Studien 32: 165-167 (1988).
    "Russell's account of existence as satisfaction of a propositional function presupposes a more fundamental notion of existence, which we would employ in deciding what to allow as arguments satisfying a function, a notion he never elucidates. Jan Dejnozka has distinguished three ways Russell used the term "exists," one being the phenomenalist's, in which it refers to correlations of sense-data. I argue that this phenomenalist notion cannot be the one Russell needs, since he explicitly held that existence be understood broadly, so that, e.g., the nonexistence of God would not follow by definition."

     

  24. Cappio James, "Russell's philosophical development," Synthese 46: 185-205 (1981).

     

  25. Cartwright Richard. On the origins of Russell's theory of descriptions. In Philosophical Essays. Cambridge: MIT Press 1987. pp. 95-133

     

  26. Casullo Albert, "Russell on the reduction of particulars," Analysis 41: 199-205 (1981).

     

  27. Chihara Charles. Ontology and the Vicious-Circle principle. Ithaca: Cornell University Press 1973.

     

  28. Church Alonzo, "Comparison of Russell's resolution of the semantical antinomies with that of Tarski," Journal of Symbolic Logic 41 (4): 747-760 (1976).

     

  29. Church Alonzo, "Russell's theory of identity of propositions," Philosophia Naturalis 24: 513-522 (1984).

     

  30. Clack Robert J. Bertrand Russell's philosophy of language. The Hague: Martinus Nijhoff 1969.

     

  31. Cocchiarella Nino. Whither Russell's paradox of predication? In Logic and ontology. Edited by Munitz Milton K. New York: New York University Press 1973. pp. 133-158

     

  32. Cocchiarella Nino, "Logical Atomism, nominalism, and modal logic," Synthese 31: 23-62 (1975).
    Reprinted in: Nino Cocchiarella - Logical studies in early analytic philosophy

     

  33. Cocchiarella Nino, "The development of the theory of logical types and the notion of a logical subject in Russell's early philosophy," Synthese 45: 71-115 (1980).
    Reprinted in: Nino Cocchiarella - Logical studies in early analytic philosophy

     

  34. Cocchiarella Nino, "Meinong reconstructed versus early Russell reconstructed," Journal of Philosophical Logic 11: 183-214 (1982).
    Reprinted in: Nino Cocchiarella - Logical studies in early analytic philosophy

     

  35. Cocchiarella Nino. Frege, Russell and logicism: A logical reconstruction. In Frege Synthesized: Essays on the philosophical and foundational work of Gottlob Frege. Edited by Haaparanta Leila and Hintikka Jaako. Dordrecht: Reidel Publishing Co. 1986. pp. 197-252
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  36. Cocchiarella Nino. Logical studies in early analytic philosophy. Columbus: Ohio State University Press 1987.

     

  37. Cocchiarella Nino. Russell's theory of logical types and the atomistic hierarchy of sentences. In Rereading Russell: Essays on Bertrand Russell's metaphysics and epistemology. Edited by Wade Savage C. and Anderson Anthony C. Minneapolis: Minnesota University Press 1989. pp. 41-62
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  38. Cocchiarella Nino, "Russell's paradox of the totality of propositions," Nordic Journal of Philosophical Logic 5: 25-37 (2000).

     

  39. Coffa Alberto J., "Russell as a Platonic dialogue: the matter of denoting," Synthese 45: 43-70 (1980).

     

  40. Crittenden Charles, "Ontology and the theory of descriptions," Philosophy and Phenomenological Research 31: 85-96 (1970).

     

  41. Dau Paolo, "Russell's first theory pf denoting and quantification," Notre Dame Journal of Formal Logic 27: 133-166 (1986).

     

  42. De Rouilhan Philippe, "Russell and the Vicious Circle Principle," Philosophical Studies 65: 169-182 (1992).

     

  43. Dejnozka Jan, "Russell's robust sense of reality: a reply to Butchvarov," Grazer Philosophische Studien 32: 155-164 (1984).

     

  44. Dejnozka Jan, "A reply to Butchvarov's Russell's views on reality," Grazer Philosophische Studien 32: 181-184 (1988).

     

  45. Dejnozka Jan, "A reply to Umphrey's 'The Meinongian-Antimeinongian dispute reviewed," Grazer Philosophische Studien 32: 185-186 (1988).

     

  46. Dejnozka Jan, "The ontological foundation of Russell's theory of modality," Erkenntnis 32: 383-418 (1990).

     

  47. Dejnozka Jan. The ontology of the Analytic tradition and its origins. Realism and identity in Frege, Russell, Wittgenstein, and Quine. Lanham: Littlefield Adams Books 1996.
    Paperback edition reprinted with corrections, 2002; reprinted with further corrections, 2003.

     

  48. Dejnozka Jan. Bertrand Russell on modality and logical relevance. Aldershot: Ashgate 1999.

     

  49. Dejnozka Jan, "Origin of Russell's early theory of logical truth as purely general truth: Bolzano, Peirce, Frege, Venn, or MacColl?," Modern Logic 8: 21-30 (2001).

     

  50. Dejnozka Jan, "Russell and McColl: a reply to Grattan-Guinness, Wolenski, and Read," Nordic Journal of Philosophical Logic 6: 21-42 (2001).

     

  51. Dejnozka Jan, "Russell on modality: a reply to Kervick," Bertrand Russell Society Quarterly 120: 33-38 (2003).

     

  52. Demopoulos William, "On the theory of meaning of "On Denoting"," Noûs 33: 439-458 (1999).

     

  53. Di Francesco Michele. Il realismo analitico. Logica, ontologia e significato nel primo Russell. Milano: Guerini e Associati 1991.

     

  54. Donnellan Keith, "Reference and definite descriptions," Philosophical Review 75: 281-304 (1966).
    Translated in Italian as: Riferimento e descrizioni definite in: Andrea Bonomi (ed.) - La struttura logica del linguaggio - Milano, Bompiani, 1973

     

  55. Duran Jane, "Russell on names," Philosophy Research Archives 13: 463-470 (1988).

     

  56. Farrell-Smith Janet, "The Russell-Meinong debate," Philosophy and Phenomenological Research 45: 305-350 (1985).

     

  57. Farrell-Smith Janet. Russell re-evaluation of Meinong, 1913-14: an analysis of acquaintance. In Antinomies and paradoxes. Studies in Russell's early philosophy. Edited by Winchester Ian and Blackwell Kenneth. Hamilton: McMaster University Library Press 1989. pp.

     

  58. Garciadiego Alejandro R. Bertrand Russell and the origins of the set-theoretic 'paradoxes'. Basel: Birkhäuser Verlag 1992.

     

  59. Giaretta Pierdaniele, "Analysis and Logical Form in Russell: the 1913 paradigm," Dialectica 51: 273-293 (1997).

     

  60. Gram Moltke. Ontology and the theory of descriptions. In Essays on Bertrand Russell. Edited by Klemke Elmer D. Urbana: University of Illinois Press 1971. pp.

     

  61. Grattan-Guinness Ivor, "Bertrand Russell's logical manuscripts: an apprehensive brief," History and Philosophy of Logic 6: 53-74 (1986).

     

  62. Griffin Nicholas, "Russell's "horrible travesti" of Meinong," Russell 25-28: 39-51 (1977).

     

  63. Griffin Nicholas, "Russell on the nature of logic (1903-1913)," Synthese 45: 117-188 (1980).

     

  64. Griffin Nicholas, "Russell's critique of Meinong's theory of objects," Grazer Philosophische Studien 25/26: 375-401 (1985).
    "Russell brought three arguments forward against Meinong's theory of objects. None of them depend upon a misinterpretation of the theory as is often claimed. In particular, only one is based upon a clash between Meinong's theory and Russell's theory of descriptions, and that did not involve Russell's attributing to Meinong his own ontological assumption. The other two arguments were attempts to find internal inconsistencies in Meinong's theory. But neither was sufficient to refute the theory, though they do require some revisions, viz. a trade-off between freedom of assumption and unlimited characterization. Meinong himself worked out the essentials of the required revisions."

     

  65. Griffin Nicholas, "Wittgenstein's criticism of Russell's theory of judgement," Russell 5: 123-145 (1986).

     

  66. Griffin Nicholas. Russell's idealist apprenticeship. Oxford: Clarendon Press 1991.

     

  67. Griffiths D.A., "Russell on existence and descriptions," Philosophical Quarterly 26: 157-162 (1976).

     

  68. Griffiths D.A., "A reconsideration of Russell's early ontological development," Philosophical Quarterly 31: 145-152 (1981).

     

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  71. Hill Claire-Ortiz. Rethinking identity and metaphysics: on the foundations of analytic philosophy. New Haven: Yale University Press 1997.

     

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  74. Hochberg Herbert, "Peano, Russell and logicism," Analysis 16: 118-120 (1956).
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  75. Hochberg Herbert, "Things and descriptions," American Philosophical Quarterly 3: 1-9 (1966).
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  76. Hochberg Herbert. Thought, fact and reference. The origins and ontology of Logical Atomism. Minneapolis: University of Minnesota Press 1978.

     

  77. Hochberg Herbert, "Russell's proof of realism reproved," Philosophical Studies 37: 37-44 (1980).

     

  78. Hochberg Herbert, "Particulars "as" universals: Russell's ontological assay of particularity and phenomenological space-time," Journal of Philosophical Research 20: 83-111 (1995).

     

  79. Hochberg Herbert, "Abstracts, functions, existence and relations in the Russell-Meinong dispute, the Bradley Paradox and the realism-nominalism controversy," Grazer Philosophische Studien 50: 273-291 (1995).

     

  80. Hochberg Herbert, "Particulars, universals and Russell's late ontology," Journal of Philosophical Research 21: 129-137 (1996).

     

  81. Hochberg Herbert. The role of subsistent propositions and logical forms in Russell's 1913 Philosophical Logic and in the Russell-Wittgenstein dispute. In Studies on the history of logic. Proceedings of the Third Symposium on the history of logic. Edited by Angelelli Ignacio and Cerezo Maria. Berlin: Walter de Gruyter 1996. pp. 317-341

     

  82. Hochberg Herbert, "Facts, truths and the ontology of Logical Realism," Grazer Philosophische Studien 58-59: 23-92 (2000).

     

  83. Hochberg Herbert. Russell, Moore, and Wittgenstein: the revival of realism. Egelsbach: Hänsel-Hohenhausen 2001.

     

  84. Hursthouse Rosalind, "Denoting in the Principles of Mathematics," Synthese 45: 33-42 (1980).

     

  85. Hylton Peter, "Russell's substitutional theory," Synthese 45: 1-31 (1980).

     

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    Reprinted in David Pears (ed.) - Bertrand Russell: a collection of critical essays.
    Translated in Italian as: Che cos'è la teoria delle descrizioni di Russell? - in: Andrea Bonomi (ed.) - La struttura logica del linguaggio - Milano, Bompaini, 1973

     

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  97. Lambert Karel, "Russell's version of the theory of definite descriptions," Philosophical Studies 65: 153-167 (1992).

     

  98. Landini Gregory, "Russell's substitutional theory of classes and relations," History and Philosophy of Logic 8: 171-200 (1987).

     

  99. Landini Gregory, "A new interpretation of Russell's multiple-relation theory of judgment," History and Philosophy of Logic 11: 37-69 (1990).

     

  100. Landini Gregory, "Logic in Russell's Principles of mathematics," Notre Dame Journal of Formal Logic 37: 554-584 (1996).

     

  101. Landini Gregory. Russell's hidden substitutional theory. New York: Oxford University Press 1998.

     

  102. Lejewski Czeslaw, "A re-examination of the Russellian theory of descriptions," Philosophy 35: 14-29 (1980).

     

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  109. Makin Gideon. Metaphysicians of meaning. Russell and Frege on sense and denotation. London: Routledge & Kegan Paul 2000.

     

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  114. Oaklander Nathan and Miracchi Silvano, "Russell, negative facts, and ontology," Philosophy of Science 47: 434-455 (1980).
    "Russell's introduction of negative facts to account for the truth of "negative" sentences or beliefs rests on his collaboration with Wittgenstein in such efforts as the characterization of formal necessity, the theory of logical atomism, and the use of the Ideal Language. In examining their views we arrive at two conclusions. First, that the issue of negative facts is distinct from questions of meaning or intentionality; what a sentence or belief means or is about rather than what makes it true or false. Second, that the ontological use of the Ideal Language is incompatible with the requirements of its employment in the logical study of inferences. On this basis we conclude that despite elaboration by recent proponents, the doctrine of negative facts lacks adequate support, and perhaps more importantly, it is proper ontological method to free the Ideal Language from the exigencies of a symbolism constructed for logical investigation."

     

  115. Orilia Francesco, "Type-free property theory, Bradley's regress and Meinong and Russell reconciled," Grazer Philosophische Studien 39: 103-125 (1991).

     

  116. Ostertag Gary. Definite descriptions: a reader. Cambridge: MIT Press 1998.

     

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  121. Pears David. Bertrand Russell: a collection of critical essays. Garden City: Anchor Books 1972.

     

  122. Prior Arthur Norman. Existence in Lesniewski and Russell. In Formal systems and recursive functions. Edited by Crossley John and Dummett Michael. Amsterdam: North-Holland 1965. pp. 149-155

     

  123. Quine Willard Van Orman, "Russell's ontological development," Journal of Philosophy 63: 657-667 (1966).
    Reprinted in: Elmer Daniel Klemke (ed.) - Essays on Bertrand Russell

     

  124. Ramsden Eames Elizabeth, "Russell on "what there is"," Revue Internationale de Philosophie 26: 483-498 (1972).

     

  125. Rheinwald Rosemarie. Semantische Paradoxien, Typentheorie und ideale Sprache. Studien zur Sprachphilosophie Bertrand Russells. Berlin: Walter de Gruyter 1998.

     

  126. Ripley Charles, "Moore and Russell on existence as predicate," Russell 37-40: 17-30 (1981).

     

  127. Rodriguez Consuegra Francisco, "Russell's logicist definition of numbers, 1898-1913: chronology and significance," History and Philosophy of Logic 8: 141-189 (1987).

     

  128. Rodriguez Consuegra Francisco, "Russell's theory of types, 1901-1910: its complex origins in the unpublished manuscripts," History and Philosophy of Logic 10: 131-164 (1989).

     

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