Studia Logica

, Volume 85, Issue 2, pp 261–274 | Cite as

Meaning and Interpretation. II



The paper enriches the conceptual apparatus of the theory of meaning and denotation that was presented in Part I (Section 3). This part concentrates on the notion of interpretation, which is defined as an equivalence class of the relation possessing the same manner of interpreting types. In this part, some relations between meaning and interpretation, as well as one between denotation an interpretational denotation are established. In the theory of meaning and interpretation, the notion of language communication has been formally introduced and some conditions of correctness of communication have been formulated.


Interpretation interpretational referring interpretational denotation meaning language communication 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Ajdukiewicz, K.: 1931, ‘O znaczeniu wyrażeń’ (‘On meaning of expressions’), Ksiega Pamiatkowa Polskiego Towarzystwa Filozoficznego we Lwowie, Lwów.Google Scholar
  2. 2.
    Ajdukiewicz, K.: 1934, ‘Sprache und Sinn’, Erkenntnis IV (1934), 100–138.Google Scholar
  3. 3.
    Ajdukiewicz, K.: 1935, ‘Die syntaktische Konnexität’, Studia Philosophica, Leopoli, vol. 1, 1–27. English translation: ‘Syntactic Connection’, in S. McCall (ed.), Polish Logic 1920-1939, Clarendon Press, Oxford, pp. 207–231.Google Scholar
  4. 4.
    Ajdukiewicz, K.: 1960, ‘Związki składniowe między członami zdań oznąjmujacych’ (‘Syntactic Relations Between Elements of Declarative Sentences’), Studia Filozoficzne 6 (21), 76–86. First presented in English at the International Linguistic Symposium in Erfurt, September 27-October 2, 1958.Google Scholar
  5. 5.
    Audi R. (eds). (1995), The Cambridge Dictionary of Philosophy. Cambridge University Press, Cambridge UKGoogle Scholar
  6. 6.
    Bar-Hillel, Y.: 1950, ‘On Syntactical Categories’, Journal of Symbolic Logic 15, 19–37. Reprinted in Y. Bar-Hillel, 1964, 19–37.Google Scholar
  7. 7.
    Bar-Hillel, Y.: 1953, ‘A Quasi-arithmetical Notation for Syntactic Description’, Language 29, 47–58. Reprinted in Y. Bar-Hillel, 1964, 61–74.Google Scholar
  8. 8.
    Bar-Hillel, Y.: 1964, Language and Information. Selected Essays on their Theory and Application, Reading, Mass., Addison-Wesley Publishing co.Google Scholar
  9. 9.
    Buszkowski, W.: 1988, ‘Three Theories of Categorial Grammar’, in W. Buszkowski, W. Marciszewski, and J. van Benthem (eds.), pp. 57–84.Google Scholar
  10. 10.
    Buszkowski, W.: 1989, Logiczne Podstawy Gramatyk Kategorialnych Ajdukiewicza - Lambeka (Logical Foundations of Ajdukiewicz’s - Lambek’s Categorial Grammar), Logika i jej Zastosowania, PWN, Warszawa.Google Scholar
  11. 11.
    Buszkowski W., Marciszewski W., van Benthem J. (eds). (1988) Categorial Grammar. John Benjamis Publishing Company, Amsterdam-Philalelphi.Google Scholar
  12. 12.
    Carnap R. (1936) ‘Testability and Meaning’. Philosophy of Science III: 419–471CrossRefGoogle Scholar
  13. 13.
    Carnap R. (1937) ‘Testability and Meaning’. Philosophy of Science IV: 1–40CrossRefGoogle Scholar
  14. 14.
    Carnap R. (1947), Meaning and Necessity. University of Chicago Press, ChicagoGoogle Scholar
  15. 15.
    Carnap R. (1956) ‘The Theoretical Character of Theoretical Concepts’. Minnesota Studies in the Philosophy of Science I: 38–76Google Scholar
  16. 16.
    Church A. (1956) Introduction to Mathematical Logic. Princeton University Press, Princeton N.J.Google Scholar
  17. 17.
    Cresswell M.J. (1973), Logics and Languages. Methuen and Co. Ltd, LondonGoogle Scholar
  18. 18.
    Cresswell M.J. (1977) ‘Categorial Languages’. Studia Logica 36: 257–269CrossRefGoogle Scholar
  19. 19.
    Davidson, D.: 1969, ‘Truth and Meaning’, in J.W. Davis et al. (eds.), Philosophical Logic, Massachusetts, Hingham.Google Scholar
  20. 20.
    Davidson D. (1984) Inquiries into Truth and Interpretation. OUP, OxfordGoogle Scholar
  21. 21.
    Dummett, M.: 1975, ‘What is a Theory of Meaning’, in S. Guttenplan (ed.), Mind and Language, OUP, Oxford.Google Scholar
  22. 22.
    Dummett, M.: 1976, ‘What is a Theory of Meaning’, II, in G. Evans and J. McDowell (eds.), Truth and Meaning, OUP, Oxford.Google Scholar
  23. 23.
    Dummett M. (1991) The Logical Basis of Metaphysics. Duckworth, LondonGoogle Scholar
  24. 24.
    Dummett M. (2003), ‘Truth and the Past’. The Journal of Philosophy 100: 5–53Google Scholar
  25. 25.
    Frege, G.: 1892, ‘ Über Sinn und Bedeutung’, Zeitschrift für Philosophie und philosophische Kritik, C, 25–50. English Translation in H. Feigl and W. Sellars (eds.), Readings in PhilosophicalAnalysis, Appleton-Century-Crofts, New York, 1949, and also in M. Beaney (ed.), The Frege Reader, Blackwell, Oxford, 1997, pp. 151–171.Google Scholar
  26. 26.
    Gamut, L.T.F., (J. van Benthem, J. Groenendijk, D. de Jongh, M. Stokhof, and H. Verkuyl): 1991, Logic, Language and Meaning, vol. I: Introduction to Logic, vol. 2: Intensional Logic and Logical Grammar, University of Chicago Press, Chicago and London.Google Scholar
  27. 27.
    Gunson, D.: 1998, Michael Dummett and the Theory of Meaning, Ashgate Publishing Company, Aldershot-Brookfield, USA-Sydney.Google Scholar
  28. 28.
    Husserl, E.: 1900-1901, Logische Untersuchungen, vol. I, Halle 1900, vol. II, Halle, 1901.Google Scholar
  29. 29.
    Ingarden, R.: 1930, Das literarische Kunstwerk, Polish translation: O dziele literackim, PWN, Warszawa, 1960.Google Scholar
  30. 30.
    Lambek J. (1958), ‘The Mathematics of Sentence Structure’. American Mathematical Monthly 65: 154–170CrossRefGoogle Scholar
  31. 31.
    Lambek, J.: 1961, ‘On the Calculus of Syntactic Types’, in R. Jakobson (ed.), Structure of Language and Its Mathematical Aspects I, AMS, Providence.Google Scholar
  32. 32.
    Lesniewski S. (1929), ‘Grundzüge eines neuen Systems der Grudlagen der Mathematik’. Fundamenta Mathematicae 14: 1–81Google Scholar
  33. 33.
    Lesniewski, S.: 1930, ‘ Über die Grundlagen der Ontologie’, Comptes rendus des séances de la Société des Sciences et des Lettres de Varsovie, Classe III, 23, Warszawa, pp. 111–132.Google Scholar
  34. 34.
    Marciszewski W. (eds) (1981), Dictionary of Logic as Applied in the Study of Language. Concepts/Methods/Theories. Martinus Nijhoff Publishers, The Hague-Boston- LondonGoogle Scholar
  35. 35.
    Marciszewski, W. (ed): 1987, Formal Logic (Logika Formalna. Zarys Encyklopedyczny z Zastosowaniami do Informatyki i Lingwistyki), PWN, Warszawa.Google Scholar
  36. 36.
    Marciszewski, W.: 1988, ‘A Chronicle of Categorial Grammar’, in W. Buszkowski, W. Marciszewski, and J. van Benthem (eds.), 7–22.Google Scholar
  37. 37.
    Montague, R.: 1968, ‘Pragmatics’, in R. Klibansky (ed.), Contemporary Philosophy: A survey, Florence: La Nuova Italia Editrice, pp. 102–122. Reprinted in R. Montague 1974.Google Scholar
  38. 38.
    Montague R. (1970a), ‘Pragmatics and Intensional Logic’. Synthese 22: 68–94CrossRefGoogle Scholar
  39. 39.
    Montague, R.: 1970b, ‘English as a Formal Language’, in B. Visentini (ed.), Linguaggi nella societa e nella tecnica, Edizioni di Comunit´, Milano, pp. 189–224.Google Scholar
  40. 40.
    Montague R. (1970c), ‘Universal Grammar’. Theoria 36: 373–398CrossRefGoogle Scholar
  41. 41.
    Montague, R.: 1974, Formal Philosophy: Selected Papers, in R.H. Thomason (ed. and introd.), Yale University Press, New Haven, Conn.Google Scholar
  42. 42.
    Peirce, S.Ch.: 1931-35, Collected Papers of Charles Sanders Peirce, C. Hartshorne, and P. Meiss (eds.), vols. 1–5, Cambridge, Mass.Google Scholar
  43. 43.
    Pelc, J.: 1971, Studies in Functional Logical Semiotics of Natural Languages, Janua Linguarum Series Minor 90, Mouton, The Hague-Paris.Google Scholar
  44. 44.
    Pelc, J.: 1979, ‘A Functional Approach to the Logical Semiotics of Natural Language’, in Semiotics in Poland 1894-1969, selected and edited with and introduction by J. Pelc, Synthese Library, Studies in Epistemology, Logic and Methodology of Science, vol. 119, PWN/Reidel, Dortrecht-Boston, pp. 342–375.Google Scholar
  45. 45.
    Putnam, H.: 1975, ‘The Meaning of ‘Meaning”, in K. Gunderson (ed.), Language, Mind and Knowledge, Minnesota Studies in Philosophy of Science, VII, University of Minnesota Press, Minnesota.Google Scholar
  46. 46.
    Scott, D.: 1970, ‘Advice on Modal Logic’, in K. Lambert (ed.), Philosophical Problems in Logic, Reidel, Dordrecht, pp. 143–173.Google Scholar
  47. 47.
    Tarski, A.: 1933, Pojęcie Prawdy w Językach Nauk Dedukcyjnych, Warszawa: Prace Towarzystwa Naukowego Warszawskiego. English translation: ‘The Concept of Truth in Formalized Languages’, in Logic, Semantics, Metamatematics: Papers from 1923 to 1938,, Oxford 1956.Google Scholar
  48. 48.
    Tokarz, M.: 1993, Elementy logiki pragmatycznej (Elements of Logical Pragmatics), Logika i Zastosowania Logiki, PWN, Warszawa.Google Scholar
  49. 49.
    Wittgenstein L. (1953), Philosophical Investigations. Blackwell, OxfordGoogle Scholar
  50. 50.
    Wybraniec-Skardowska, U.: 1981, ‘On the Theory of Label-tokens’, Bulletin of the Section of Logic, Polish Academy of Sciences, vol. 10, no.1, 30–34.Google Scholar
  51. 51.
    Wybraniec-Skardowska, U.: 1985, Teorie jezyków syntaktycznie kategorialnych (Theories of Syntactic-Categorial Languages), PWN, Warszawa.Google Scholar
  52. 52.
    Wybraniec-Skardowska, U.: 1989, ‘On the Eliminatibility of Ideal Linguistic Entities’, Studia Logica 48, no. 4, 587–615.Google Scholar
  53. 53.
    Wybraniec-Skardowska U. (1991). Theory of Language Syntax. Categorial Approach. Kluwer Academic Publishers, Dordrecht - Boston - LondonGoogle Scholar
  54. 54.
    Wybraniec-Skardowska U. (1998), ‘Logical and Philosophical Ideas in Certain Approaches to Language’. Synthese 116: 231–277CrossRefGoogle Scholar
  55. 55.
    Wybraniec-Skardowska, U.: 2001, ‘On Denotation of Quantifiers’, in M. Omyla (ed.), Logical Ideas of Roman Suszko, Faculty of Philosophy and Sociology of Warsaw University, Warszawa, pp. 89–119.Google Scholar
  56. 56.
    Wybraniec-Skardowska, U.: 2005, ‘O pojeciach sensu z perspektywy logiki’ (’On the Notions of Sense from a Logical Perspective’), in Ratione et Studio, University of Bialystok, Bialystok, 155–190.Google Scholar
  57. 57.
    Wybraniec-Skardowska, U.: 2007, ‘Three Principles of Compositionality’, Cognitive Science and Media in Education, vol. 8 (to appear).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Department in Chorzów Autonomous Section of Applied Logic and Methodology of SciencesPoznan School of BankingChorzówPoland

Personalised recommendations