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2010 | 19 | 3 | 195–242

Article title

Can concepts be defined in terms of sets?

Title variants

Languages of publication

EN

Abstracts

EN
The goal of this paper is a philosophical explication and logical rectification of the notion of concept. We take into account only those contexts that are relevant from the logical point of view. It means that we are not interested in contexts characteristic of cognitive sciences, particularly of psychology, where concepts are conceived of as some kind of mental objects or representations. After a brief recapitulation of various theories of concept, in particular Frege’s and Church’s ones, we propose our own theory based on procedural semantics of Transparent Intensional Logic (TIL) and explicate concept in terms of the key notion of TIL, namely construction viewed as an abstract, algorithmically structured procedure.

Year

Volume

19

Issue

3

Pages

195–242

Physical description

Dates

published
2010-09-01

Contributors

author
  • VŠB-Technical University Ostrava, Ostrava, Czech Republic
author
  • Institute of Philosophy of Academy of Sciences of Czech Republic, Prague, Czech Republic

References

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  • Duží, M., B. Jespersen and P. Materna, 2010, Procedural Semantics for Hyper-intensional Logic. Foundations and Applications of Transparent Intensional Logic, Springer Verlag.
  • Fodor, Jerry A., 1998, Concepts, Oxford: Clarendon Press.
  • Frege, G, 1884, Die Grundlagen der Arithmetik, Breslau: W. Koebner.
  • Frege, G., 1891, Funktion und Begriff, H. Pohle, Jena. (Vortrag, gehalten in der Sitzung vom 9. Januar 1891 der Jenaischen Gesellschaft für Medizin und Naturwissenschaft, Jena, 1891).
  • Frege, G., 1892, “Über Begriff und Gegenstand”, Vierteljahrschrift für wissenschaftliche Philosophie 16: 192–205.
  • Frege, G., 1952: P. Geach and M. Black, M. (eds), Translations from the Philosophical Writings of Gottlob Frege, B. Blackwell, Oxford.
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  • Gödel, K., 1944, “Russell’s mathematical logic”, pp. 119–141 in: Kurt Gödel: Collected Works, Vol.II., Feferman, S. et alii (eds.). Oxford University Press 1990.
  • Horák, A., 2002, The Normal Translation Algorithm in Transparent Intensional Logic for Czech, PhD Thesis, Masaryk University, Brno, retrievable at http://www.fi.muni.cz/ hales/disert/
  • Jespersen, B., 2003, “Why the tuple theory of structured propositions isn’t a theory of structured propositions”, Philosophia 31: 171–183.
  • Jespersen, B., 2010,“ How hyper are hyperpropositions?”, Language and Linguistics Compass 4:, 96–106.
  • Jespersen, B., 2010a: “Hyperintensions and procedural isomorphism: Alternative (1/2)”, pp. 299–320 in: The Analytical Way. Proceedings of the 6th European Congress of Analytic Philosophy, T. Czarnecki, K. Kijania-Placek, O. Poller and J. Woleński (eds.), College Publications, London.
  • King, J.C., 2001, “Structured propositions”. http://plato.stanford.edu/entries/propositions-structured/, version as of 8 August 2001.
  • Materna, P., 1998, Concepts and Objects, Acta Philosophica Fennica, vol. 63, Helsinki.
  • Materna, P., 2004, Conceptual Systems, Berlin: Logos.
  • Materna, P., 2007, “Properties of mathematical objects (Gödel on classes, properties and Concepts)”, Journal of Physics: Conference Series 82: 012007.
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  • Tichý, P., 1968, “Smysl a procedura”, Filosofický časopis 16: 222-232. Translated as “Sense and procedure” in Tichý [2004], pp. 77–92.
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  • Tichý, P., 1995, “Constructions as the subject-matter of mathematics”, pp. 175–185 in: The Foundational Debate: Complexity and Constructivity in Mathematics and Physics, W. DePauli-Schimanovich, E. Köhler and F. Stadler (eds.), Dordrecht, Boston, London, and Vienna: Kluwer. Reprinted in Tichý [2004], pp. 873–885.
  • Tichý, P., 2004, Collected Papers in Logic and Philosophy, V. Svoboda, B. Jespersen and C. Cheyne (eds.), Prague: Filosofia, Czech Academy of Sciences, and Dunedin: University of Otago Press.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-c1f0ade7-5c1d-4271-a415-76124e452307
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