Occasional expressions as functional expressions in Gottlob Frege's semantic

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Volha Kukushkina

Abstract

In the article I present a new way to integrate occasional expressions into Frege's semantic. The principal thesis of the article is that it is possible to construct an interpretation that is fully Fregean and which is immune to the counterexamples put forward by Perry and Kaplan. According to this interpretation occasional expressions are functional expressions that name first-order functions specified on objects. Such functional expressions taken together with the objects constitute so-called hybrid proper names. I argue that Frege's requirement that functions possess a value for every argument is not well justified for name-forming functions (and thus they can be considered to be partial functions, so that not every object can be their argument). In the second part of the article I present a proposal for the structural analysis of occasional expressions and I offer a definition of their domains.

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“Occasional Expressions As Functional Expressions in Gottlob Frege’s Semantic”. 2008. Diametros, no. 17 (September): 1-29. https://doi.org/10.13153/diam.17.2008.308.
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Author Biography

Volha Kukushkina

Volha Kukushkina
Instytut Filozofii, Uniwersytet Jagielloński, Kraków

How to Cite

“Occasional Expressions As Functional Expressions in Gottlob Frege’s Semantic”. 2008. Diametros, no. 17 (September): 1-29. https://doi.org/10.13153/diam.17.2008.308.
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References

Frege [1984] – G. Frege, Collected Papers on Mathematics, Logic, and Philosophy, red. B. McGuinness, tłum. M. Black, V. H. Dudman, P. Geach, H. Kaal, E.-H. W. Kluge, B. McGuinness, R. H. Stoothoff, Basil Blackwell, Oxford 1984.

Frege [1980] – G. Frege, Philosophical and Mathematical Correspondence, red. G. Gabriel, H. Hermes, F. Kambartel, C. Thiel, A. Veraart, Wybór listów ze zbioru Gabriel i inni [1976] red. B. McGuinness, tłum. H. Kaal, University of Chicago Press, Chicago 1980.

Frege [1979] – G. Frege, Posthumous Writings, red. H. Hermes, F. Kambartel, F. Kaulbach, The University of Chicago Press, Chicago 1979.

Frege [1977] – G. Frege, Pisma semantyczne, tłum. B. Wolniewicz, PWN, Warszawa 1977.

Frege [1967] – G. Frege, (Anmerkungen zu) Philip E. B. Jourdain, The Development of the Theories of Mathematical Logic and the Principles of Mathematics: Gottlob Frege, [w:] Kleine Schriften, red. I. Angelelli, Olms, Hildesheim 1967, s. 334-341.

Frege [1964] – G. Frege, The Basic Laws of Arithmetic. Expositions of the System, tłum. i red. M. Furth, University of California Press, Berkeley 1964.

Frege [1952] – G. Frege, Translations from the Philosophical Writings of Gottlob Frege. red. i tłum. P. Geach, M. Black, Blackwell, Oxford 1952.

Frege [1950] – G. Frege, The Foundations of Arithmetic. A logico-mathematical enquiry into the concept of number, tłum. J. L. Austin, Basil Blackwell, Oxford 1950.

Blutner, Hendriks, de Hoop, Schwartz [(2004] – R. Blutner, P. Hendriks, H. de Hoop, O. Schwartz, When Compositionality Fails to Predict Systematicity. Wersja elektroniczna: http://odur.let.rug.nl/~hendriks/aaai04.pdf

Dummett [1981] – M. Dummett, The Interpretation of Frege’s Philosophy, Duckworth, London 1981.

Dummett [1973] – M. Dummett, Frege. Philosophy of Language, The Trinity Press, Worcester and London 1973.

Dummett [1956] – M. Dummett, Note: Frege on Functions, „The Philosophical Review”, Vol. 65, No. 2 (April 1956), s. 229-230.

Evans [1997] – G. Evans, Understanding Demonstratives, [w:] Readings in the Philosophy of Language, red. P. Ludlow, MIT Press, Cambridge, MA 1997, s. 717-744.

Harcourt [1999] – E. Harcourt, Frege on ‘I’, ‘Now’, ‘Today’ and Some Other Linguistic Devices, „Synthese” (121) 1999, s. 329-356.

Harcourt [1993] – E. Harcourt, Are Hybrid Proper Names the Solution to the Completion Problem? A reply to Wolfgang Künne, „Mind – New Series”, Vol. 102, No. 406 (April 1993), s. 301-313.

Heck [2002] – R. G. Heck, Jr., Do Demonstratives Have Senses?, „Philosophers’ Imprint”, Vol. 2, No. 2, 2002.

Janssen [2004] – T. M. V. Janssen, Frege, Contextuality and Compositionality. Wersja elektroniczna: http://www.ozsl.uu.nl/articles/Janssen02.pdf

Kaplan [1997] – D. Kaplan, Demonstratives, [w:] Readings in the Philosophy of Language, red. P. Ludlow, MIT Press, Cambridge, MA 1997, s. 481-563.

Kripke [1980] – S. Kripke, Naming and Necessity, Blackwell, Oxford 1980.

Künne [1992] – W. Künne, Hybrid Proper Names, „Mind – New Series”, Vol. 101, No. 404 (October 1992), s. 721-731.

Levin [2006] – J. Levin, Analysis, Abstraction Principles, and Slingshot Arguments, „Ratio” (new series) XIX, 1 March 2006, s. 43-63.

Pelletier [2002a] – F. J. Pelletier, Did Frege Believe Frege’s Principle?, „Journal of Logic, Language and Information” (10) 2002, s. 87-114.

Pelletier [2002b] – F. J. Pelletier, On An Argument Against Semantic Compositionality, University of Alberta 2002. Wersja elektroniczna:

http://www-csli.stanford.edu/~john/PHILPAPERS/using.htm

Perry [2001] – J. Perry, Reference and Reflexivity, [w:] J. Perry, Reference and Reflexivity, CSLI Publications 2001. Wersja elektroniczna:

http://csli-publications.stanford.edu/site/1575863103.html

Perry [1995] – J. Perry, The Self. Wersja elektroniczna: http://www-csli.stanford.edu/~jperry/PHILPAPERS/self-enc.pdf

Perry [1977] – J. Perry, Frege on Demonstratives, „The Philosophical Review”, Vol. 86, No. 4. (Oct., 1977), s. 474-497.

Perry & Israel [1994] – J. Perry, D. Israel, Where Monsters Dwell. Wersja elektroniczna : http://www-csli.stanford.edu/~jperry//PHILPAPERS/monsters.pdf

Speaks [2007] – J. Speaks, Double-indexing and the Kaplan Semantics for Indexicals. Wersja elektroniczna: www.nd.edu/~jspeaks/courses/93515/handouts/double-indexing-Kaplan.pdf