Skip to main content
Log in

On the eliminatibility of ideal linguistic entities

  • Published:
Studia Logica Aims and scope Submit manuscript

Abstract

With reference to Polish logico-philosophical tradition two formal theories of language syntax have been sketched and then compared with each other. The first theory is based on the assumption that the basic linguistic stratum is constituted by object-tokens (concrete objects perceived through the senses) and that the types of such objects (ideal objects) are derivative constructs. The other is founded on an opposite philosophical orientation. The two theories are equivalent. The main conclusion is that in syntactic researches it is redundant to postulate the existence of abstract linguistic entities. Earlier, in a slightly different form, the idea was presented in [27] and signalled in [26] and [25].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Ajdukiewicz, Die syntaktische Konnexität, Studia Philosophica, Leopoli, (1935), pp. 1–27 (English translation: Syntactic connection, in: Polish Logic (ed. Mc Call), Oxford, 1967).

  2. Y. Bar-Hillel, A quasi-arithmetical notation for syntactic description, Language 29, (1953), pp. 47–58 (reprinted in: Language and Information, Addison-Wesley Publishing Company Reading, Mass., 1964, pp. 61–74).

    Google Scholar 

  3. Y. Bar-Hillel, Indexical expressions, Mind 63 (1954), pp. 359–379 (reprinted in: Aspects of Language, Jerusalem, 1970, pp. 69–88).

    Google Scholar 

  4. Y. Bar-Hillel, G. Gaifman and E. Shamir, On categorial and phrase structure grammars, Bulletin of the Research Council of Israel 9F, (1960), pp. 1–16 (reprinted in: Language and Information, Addison-Wesley Publishing Company Reading, Mass., 1964, pp. 99–115).

    Google Scholar 

  5. T. Batóg, The Axiomatic Method in Phonology, Routledge and Kegan Paul LTD, London, 1967.

    Google Scholar 

  6. I. M. Bocheński, On the syntactical categories, The New Scholasticism 23, (1949), pp. 257–280.

    Google Scholar 

  7. G. Bryll and S. Miklos, Theory of concrete and abstract words (in Polish), Zeszyty Naukowe Wyższ. Szkoły Pedag. w Opolu, Matematyka 20, (1978), pp. 63–76.

  8. W. Buszkowski, Algebraic models of categorial grammars, in: Foundations of Logic and Linguistics: Problems and Their Solution, Plenum, (eds. G. Dorn and P. Weingartner), New York-London, 1985, pp. 403–426.

    Google Scholar 

  9. W. Buszkowski, Typed functorial languages, Bulletin of the Polish Academy of Sciences, Mathematics 34, No. 7–8, (1986), pp. 495–505.

    Google Scholar 

  10. W. Buszkowski, Generative power of categorial grammars, in: Categorial Grammars and Natural Language Structures (eds. R. T. Oehrle, E. Bach and D. Wheeler), D. Reidel, Dordrecht, 1987.

    Google Scholar 

  11. R. Carnap, Introduction to Semantics, Harvard University Press, Cambridge, Mass., 1942.

    Google Scholar 

  12. M. J. Cresswell, Logics and Languages, Methuen, London, 1973.

    Google Scholar 

  13. M. J. Cresswell, Categorial languages, On Lésniewski's System (ed. S. Surma), Studia Logica 36, No. 4, (1978), pp. 257–269.

  14. S. Leśniewski, Grundzüge eines neuen System der Grundlagen der Mathematik, Fundamenta Mathematicae 14, (1929), pp. 1–81.

    Google Scholar 

  15. W. Marciszewski, A chronicle of categorial grammar, in: Categorial Grammar (eds. W. Buszkowski, J. van Benthem and W. Marciszewski), J. Benjamins Publishing Company, Amsterdam/Philadelphia, 1988, pp. 7–21.

    Google Scholar 

  16. A. A. Markov, Teoria algorifmov, Moskva, 1954 (English translation: The Theory of Algorithms, S. Mouson, Jerusalem, 1961).

  17. C. Moris, Foundations of the Theory of Signs, International Encyclopedia of Unified Sciences 1, No. 2, University of Chicago Press, Chicago, 1938.

    Google Scholar 

  18. A. Nowaczyk, Categorial languages and variable-binding operators, Studies in Formal Languages (ed. W. Marciszewski), Studia Logica 37, No. 1, (1978), pp. 27–39.

  19. C. S. Peirce, Collected Papers, vols. 1–6 (eds. C. Hartshorne and P. Weiss), Harvard University Press, Cambridge, Mass., 1931–35.

    Google Scholar 

  20. J. Pelc, A functional approach to the logical semiotics of natural language, in: Sign, Language, Culture, The Hague-Paris, 1970, pp. 89–112.

  21. A. Tarski, Pojęcie Prawdy w Językach Nauk Dedukcyjnych, Prace Towarzystwa Nauk. Warszawskiego, Warszawa, 1933 (English translation: The Concept of Truth in Formalized Languages, in: Logic, Semantics, Metamathematics, Oxford, 1956).

    Google Scholar 

  22. J. van Benthem, Essays in Logical Semantics, D. Reidel, Dordrecht, 1986.

    Google Scholar 

  23. U. Wybraniec-Skardowska, On axiomatic systems of syntactically categorial languages, Bulletin of the Section of Logic, Polish Academy of Sciences 13, No. 4, (1984), pp. 241–251.

  24. U. Wybraniec-Skardowska, Theory of Syntactically Categorial Languages (in Polish), PWN, Warszawa-Wrocław, 1985.

    Google Scholar 

  25. U. Wybraniec-Skardowska, On the type-token relationships, Bulletin of the Section of Logic, Polish Academy of Sciences 15, No. 4, (1986), pp. 164–171.

  26. U. Wybraniec-Skardowska, On two approaches to the formalization of the theory of labels (in Polish), to appear in Zeszyty Naukowe Wyższ. Szkoly Pedagog. w Opolu, Matematyka 27, (1989).

  27. U. Wybraniec-Skardowska, Logical foundations of language syntax ontology (in Polish), Studia Filozoficzne, Logika a Filozofia 67, (1988), pp. 263–284.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

To the memory of Jerzy Słupecki

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wybraniec-Skardowska, U. On the eliminatibility of ideal linguistic entities. Studia Logica 48, 587–615 (1989). https://doi.org/10.1007/BF00370210

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00370210

Keywords

Navigation