Mirroring and portraying in Fregean semantics

  • Lourdes Valdivia Dounce Universidad Nacional Autónoma de México, Facultad de Filosofía y Letras

Abstract

Gottlob Frege held that concept-words refer only to concepts not to objects, and that singular terms refer only to objects not to concepts. These claims give rise to the concept paradox according to which ‘The concept F’ does not refer to a concept at all. Mark Textor asserts that his mirroring principle (MP) explains the source of this problem. However, I argue that Textor’s paper falls short in explaining all the consequences that follow Frege’s claims, and that my semantic ontological assumption (SSO) can be seen as a consequence of Textor’s mirroring principle.

Downloads

Download data is not yet available.

References

Angelelli, Ignacio (1967), Studies on Gottlob Frege and Traditional Philosophy, Dordrech, Reidel.

Burge, Tayler (2005), “Frege on extensions of concepts: From 1884-1903”, en Truth, Thought, Reason: Essays on Frege, Oxford, Clarendon Press, pp. 273-298.

Dummett, Michael (1973), “The reference of incomplete expressions”, en Frege Philosophy of Language, Londres, Duckworth, pp. 214-215.

Dummett, Michael (1968a), “Frege on functions: A reply”, en Elmer Klemke (ed.), Essays on Gottlob Frege, Chicago, University of Illinois Press, pp. 268-283.

Dummett, Michael (1968b), “Note: Frege on functions”, en Elmer Klemke (ed.), Essays on Gottlob Frege, Chicago, University of Illinois Press, pp. 295-297.

Frege, Gottlob (1996 [c. 1884]), Los fundamentos de la aritmética (FA), en Gottlob Frege: escritos filosóficos, Barcelona, Crítica, pp. 29-144. [Versión alemana (1884), Die Grundlagen der Arithmetik. Eine logisch mathematische Untersuchung über den Begriff der Zahl, Breslau, Verlag von Wilhelm Koebner; versión inglesa (1950), The Foundations of Arithmetic, Basil, Blackwell.]

Frege, Gottlob (1996 [c. 1891]), “Función y concepto” (FC), en Gottlob Frege: escritos filosóficos, Barcelona, Crítica, pp. 147-171. [Versión alemana (1891), “Funktion und Begriff”, en Jenaischen Gesellschaft für Medizin und Naturwissenschaft, Jena, Hermann Pohle; version inglesa (1970), “Function and concept”, Translations From the Philosophical Writings of Gottlob Frege, Oxford, Basil Blackwell, pp. 21-41.]

Frege, Gottlob (1996 [c. 1892]), “Concepto y objeto” (CO), en Gottlob Frege: escritos filosóficos, Barcelona, Crítica, pp. 207-222. [Versión alemana (1892), “Über Begriff und Gegenstand”, Vierteljahrsschrift für wissenschaftliche Philosophie, vol. 16, pp. 192-205; versión inglesa (1970), “On concept and object”, en Translations from the Philosophical Writings of Gottlob Frege, Oxford, Basil Blackwell, pp. 42-55.]

Frege, Gottlob (1996 [c. 1892-1895]), “Consideraciones sobre sentido y referencia” (CSR), en Gottlob Frege: escritos filosóficos, Barcelona, Crítica, pp. 198-206. [Versión alemana (1969), “Ausführungen über Sinn und Bedeutung”, en Nachgelassene Shriften, Hamburgo, Meiner Verlag; versión inglesa (1979), “Comments on sense and reference”, en Gottlob Frege, Posthumous Writings, Oxford, Basil Blackwell.]

Frege, Gottlob (1996 [c. 1904]), “¿Qué es una función?” (QF), en Gottlob Frege: escritos filosóficos, Barcelona, Crítica, pp. 253-262. [Versión alemana (1904), “Was ist eine Funktion?”, Festschr. L. Boltzmann gew. Z. 60 Geburtstag, pp. 656-666; versión inglesa (1970), “What is a function?”, en Translations from the Philosophical Writings of Gottlob Frege, Oxford, Basil Blackwell, pp. 107-116.]

Frege, Gottlob (1984), “Compound thoughts” (CT), en Collected Papers on Mathematics, Logic and Philosophy, Oxford, Blackwell, pp. 137-156. Geach, Peter T. (1955), “Class and concept”, Philosophical Review, vol. 64, núm. 4, pp. 561-570.

Higginbotham, James (1990), “Frege, concepts, and the design of language”, en Enrique Villanueva (ed.), Information, Semantics and Epistemology, Oxford, Basil Blackwell, pp. 153-171.

Klemke, Elmer (ed.) (1968), Essays on Gottlob Frege, Chicago, University of Illinois Press.

Marshall, William (1968), “Frege’s theory of functions and objects”, en Elmer Klemke (ed.), Essays on Gottlob Frege, Chicago, University of Illinois Press, pp. 249-267.

Orayen, Raúl (1972), La ontología de Frege, La Plata, Instituto de Lógica y Filosofía de la Ciencia, Universidad de La Plata.

Parsons, Terence (1986), “Why Frege should not have said “The concept ‘horse’ is not a concept””, History of Philosophy Quarterly, vol. 3, núm. 4, pp. 449-466.

Ruffi no, Marco (2003), “Why Frege would not be a neo Fregean”, Mind, vol. 112, núm. 445, enero, pp. 51-78.

Ruffi no, Marco (2000), “Extensions as representative objects in Frege’s logic”, Erkenntnis, vol. 52, núm. 2, pp. 239-252.

Schirn, Matthias (1990), “Frege’s objects of a quite special kind”, Erkenntnis, vol. 32, núm. 1, pp. 27-61.

Textor, Mark (2010), “Frege’s concept paradox and the mirroring principle”, The Philosophical Quarterly, vol. 60, núm. 238, pp. 126-148.

Valdivia Dounce, Lourdes (1987), “La teoría fregeana de los conceptos”, en Lourdes Valdivia y Enrique Villanueva (eds.), Filosofía del lenguaje, de la ciencia, de los derechos humanos y problemas de su enseñanza, México, Universidad Nacional Autónoma de México, pp. 57-78.

Valdivia Dounce, Lourdes (1985) “Frege: una estipulación viable”, Crítica. Revista Hispanoamericana de Filosofía, vol. XVII, núm. 49, pp. 3-15.

Valdivia Dounce, Lourdes (1984a), “Lo indecible en Frege”, Análisis Filosófico, vol. IV, núm. 1, pp. 1-17.

Valdivia Dounce, Lourdes (1984b), Introducción a la semántica y ontología de Gottlob Frege, México, Universidad Nacional Autónoma de México.

Wiggins, David (1984), “The sense and reference of predicates: A running repair to Frege’s doctrine and a plea for the copula”, The Philosophical Quarterly, vol. 34, núm. 136, julio, pp. 311-328.

Published
10-12-2018
Section
Artículos