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].
Similar content being viewed by others
References
K. Ajdukiewicz, Die syntaktische Konnexität, Studia Philosophica, Leopoli, (1935), pp. 1–27 (English translation: Syntactic connection, in: Polish Logic (ed. Mc Call), Oxford, 1967).
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).
Y. Bar-Hillel, Indexical expressions, Mind 63 (1954), pp. 359–379 (reprinted in: Aspects of Language, Jerusalem, 1970, pp. 69–88).
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).
T. Batóg, The Axiomatic Method in Phonology, Routledge and Kegan Paul LTD, London, 1967.
I. M. Bocheński, On the syntactical categories, The New Scholasticism 23, (1949), pp. 257–280.
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.
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.
W. Buszkowski, Typed functorial languages, Bulletin of the Polish Academy of Sciences, Mathematics 34, No. 7–8, (1986), pp. 495–505.
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.
R. Carnap, Introduction to Semantics, Harvard University Press, Cambridge, Mass., 1942.
M. J. Cresswell, Logics and Languages, Methuen, London, 1973.
M. J. Cresswell, Categorial languages, On Lésniewski's System (ed. S. Surma), Studia Logica 36, No. 4, (1978), pp. 257–269.
S. Leśniewski, Grundzüge eines neuen System der Grundlagen der Mathematik, Fundamenta Mathematicae 14, (1929), pp. 1–81.
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.
A. A. Markov, Teoria algorifmov, Moskva, 1954 (English translation: The Theory of Algorithms, S. Mouson, Jerusalem, 1961).
C. Moris, Foundations of the Theory of Signs, International Encyclopedia of Unified Sciences 1, No. 2, University of Chicago Press, Chicago, 1938.
A. Nowaczyk, Categorial languages and variable-binding operators, Studies in Formal Languages (ed. W. Marciszewski), Studia Logica 37, No. 1, (1978), pp. 27–39.
C. S. Peirce, Collected Papers, vols. 1–6 (eds. C. Hartshorne and P. Weiss), Harvard University Press, Cambridge, Mass., 1931–35.
J. Pelc, A functional approach to the logical semiotics of natural language, in: Sign, Language, Culture, The Hague-Paris, 1970, pp. 89–112.
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).
J. van Benthem, Essays in Logical Semantics, D. Reidel, Dordrecht, 1986.
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.
U. Wybraniec-Skardowska, Theory of Syntactically Categorial Languages (in Polish), PWN, Warszawa-Wrocław, 1985.
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.
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).
U. Wybraniec-Skardowska, Logical foundations of language syntax ontology (in Polish), Studia Filozoficzne, Logika a Filozofia 67, (1988), pp. 263–284.
Author information
Authors and Affiliations
Additional information
To the memory of Jerzy Słupecki
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00370210