Abstract
In his philosophy of language Gottlob Frege strives to present the basic structure of language which is supposed to correspond to the structure of what is referred to. He makes a distinction between proper names, which refer to objects, and function-names, which refer to functions. Function-names include concept-words and relation-words, which stand for concepts and relations, respectively. Frege also assumes that, besides a reference (Bedeutung), each name has a sense (Sinn), through which the name is directed to its reference.1
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Frege, G.: 1879, Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens. Verlag von L. Nebert, Halle a. S.; repr. in G. Frege (1964), pp. 1–88. (Referred to as BS.)
Frege, G.: 1883, ‘Über den Zweck der Begriffsschrift’, in Sitzungsberichte der Jenaischen Gesellschaft für Medizin und Naturwissenschaft für das Jahr 1882, Verlag von G. Fischer, Jena, pp. 1–10; repr. in Frege (1964), pp. 97-106.
Frege, G.: 1884, Die Grundlagen der Arithmetik: eine logisch mathematische Untersuchung über den Begriff der Zahl, Verlag von W. Koebner, Breslau; repr. and transi. by J. L. Austin in The Foundations of Arithmetic/Die Grundlagen der Arithmetik, Basil Blackwell, Oxford, 1968. (Referred to as GLA.)
Frege, G.: 1891, Funktion und Begriff, Vortrag, gehalten in der Sitzung vom 9. Januar 1891 der Jenaischen Gesellschaft für Medizin und Naturwissenschaft, H. Pohle, Jena; repr, in KS, pp. 125–142.
Frege, G.: 1892, ‘Über Sinn und Bedeutung’, Zeitschrift für Philosophie und philosophische Kritik 100, 25-50; repr, in KS, pp. 143–162.
Frege, G.: 1892, ‘Über Begriff und Gegenstand’, Vierteljahrschrift für wissenschaftliche Philosophie 16, 192-205; repr. in KS, pp. 167–178.
Frege, G.: 1893, Grundgesetze der Arithmetik, begriffsschriftlich abgeleitet, I. Band, Verlag von H. Pohle, Jena. (Referred to as GGA I.)
Frege, G.: 1894, Rezension von: E. G. Husserl, Philosophie der Arithmetik F, Zeit schrift für Philosophie und philosophische Kritik 103, 313-332; repr, in KS, pp. 179–192.
Frege, G.: 1895, Kritische Beleuchtung einiger Punkte in E. Schröders Vorlesungen über die Algebra der Logik’, Archiv für systematische Philosophie I, 433-456; repr. in KS, pp. 193–210.
Frege, G.: 1896, ‘Über die Begriffsschrift des Herrn Peano und meine eigene’, in Berichte über die Verhandlungen der königlich sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse, 48. Band, pp. 361-378; repr. in KS, pp. 220–233.
Frege, G.: 1903, Grundgesetze der Arithmetik, begriffsschriftlich abgeleitet, II. Band, Verlag von H. Pohle, Jena. (Referred to as GGAII.)
Frege, G.: 1903, ‘Über die Grundlagen der Geometrie II’, Jahresberichte der Deutschen Mathematiker-Vereinigung, 12. Band, pp. 368–375; repr. in KS, pp. 267-272.
Frege, G.: 1906, ‘Über die Grundlagen der Geometrie I-III’, in Jahresberichte der Deutschen Mathematiker-Vereinigung, 15. Band, pp. 293–309, 377-403, 423-430; repr. in KS, pp. 281-323.
Frege, G.: 1912, ‘Anmerkungen zu: Philip E. B. Jourdain, The development of the theories of mathematical logic and the principles of mathematics’, The Quarterly Journal of Pure and Applied Mathematics 43, 237–269; repr, in KS, pp. 334-341.
Frege, G.: 1952, Translations from the Philosophical Writings of Gottlob Frege, ed. by P. Geach and M. Black, Basil Blackwell, Oxford.
Frege, G.: 1964, Begriffsschrift und andere Aufsätze, ed. by I. Angelelli, Georg Olms, Hildesheim.
Frege, G.: 1964, The Basic Laws of Arithmetic, Exposition of the System, transi, and ed. by M. Furth, University of California Press, Berkeley and Los Angeles.
Frege, G.: 1967, Kleine Schriften, ed. by I. Angelelli, Wissenschaftliche Buchgesellschaft, Darmstadt, and Georg Olms, Hildesheim. (Referred to as KS.)
Frege, G.: 1969, Nachgelassene Schriften, ed. by H. Hermes, F. Kambartel, and F. Kaulbach, Felix Meiner Verlag, Hamburg. (Referred to as NS.)
Frege, G.: 1972, Conceptual Notation and Related Articles, transi, and ed. by T. W. Bynum, Clarendon Press, Oxford.
Frege, G.: 1979, Posthumous Writings, transi, by P. Long and R. White, Basil Blackwell, Oxford.
Angelelli, I.: 1967, Studies on Gottlob Frege and Traditional Philosophy, D. Reidel, Dordrecht.
Aristotle: 1928, Analytica Posteriora, in The Works of Aristotle, Vol. I, ed. by W. D. Ross, Oxford University Press, London.
Aristotle: 1928, Metaphysica, in The Works of Aristotle, Vol. VIII, ed. by W. D. Ross, The Clarendon Press, Oxford.
Bell, D.: 1979, Frege’s Theory of Judgement, The Clarendon Press, Oxford.
Dancy, R.: 1975, Sense and Contradiction: A Study in Aristotle, D. Reidel, Dordrecht.
Dancy, R.: 1983, ‘Aristotle and Existence’, Synthese 54, 409–442.
Dummett, M.: 1981, Frege: Philosophy of Language, 2nd ed., Duckworth, London. (First published in 1973.)
Frede, M.: 1967, Prädikation und Existenzaussage, Hypomnemata 18, Vandenhoeck & Ruprecht, Göttingen.
Goldfarb, W. D.: 1979, ‘Logic in the Twenties: the Nature of the Quantifier’, The Journal of Symbolic Logic 44, 351–368.
Haaparanta, L.: 1985a, Frege’s Doctrine of Being, Acta Philosophica Fennica 39.
Haaparanta, L.: 1985b, ‘On Frege’s Concept of Being’, in Knuuttila and Hintikka (1985).
van Heijenoort, J.: 1967, ‘Logic as Calculus and Logic as Language’, Synthese 17, 324–330.
van Heijenoort, J.: 1985, ‘Frege and Vagueness’, in this volume.
Hermann, G.: 1801, De emendanda ratione graecae grammaticae, Gerhard Fleischer, Leipzig.
Hintikka, J.: 1973, ‘Aristotle and the Ambiguity of Ambiguity’, in J. Hintikka, Time and Necessity: Studies in Aristotle’s Theory of Modality, The Clarendon Press, Oxford, pp. 1–26.
Hintikka, J.: 1979a, ‘Frege’s Hidden Semantics’, Revue Internationale de Philosophie 33, 716–722.
Hintikka, J.: 1979b, ‘“Is”, Semantical Games, and Semantical Ralativity’, Journal of Philosophical Logic 8, 433–468.
Hintikka, J.: 1981a, ‘Kant on Existence, Predication, and the Ontological Argument’, Dialectica 35, 127–146.
Hintikka, J.: 1981b, ‘Semantics: A Revolt Against Frege’, in G. Fløistad (ed.), Contemporary Philosophy, Vol. 1, Martinus Nijhoff, The Hague, pp. 57–82.
Hintikka, J.: 1981c, ‘Wittgenstein’s Semantical Kantianism’, in E. Morscher and R. Stranzinger (eds.), Ethics, Proceedings of the Fifth International Wittgenstein Symposium, Hölder-Pichler-Tempsky, Vienna, pp. 375–390.
Hintikka, J.: 1983, ‘Semantical Games, the Alleged Ambiguity of “Is”, and Aristotelian Categories’, Synthese 54, 443–468.
Hintikka, J.: 1985, ‘The Varieties of Being in Aristotle’, in Knuuttila and Hintikka (1985).
Kahn, Ç.: 1973a, ‘On the Theory of the Verb “To Be”’, in M. K. Munitz (ed.), Logic and Ontology, New York University Press, New York, pp. 1–20.
Kahn, C.: 1973b, The Verb ‘Be’ in Ancient Greek, D. Reidel, Dordrecht.
Kahn, C.: 1985, ‘Retrospect on the Verb ‘to be’ and the Concept of Being’, in Knuuttila and Hintikka (1985).
Knuuttila, S.: 1985, ‘Being qua Being in Thomas Aquinas and John Duns Scotus’, in Knuuttila and Hintikka (1985).
Knuuttila, S. and Hintikka, J. (eds.): 1985, The Logic of Being: Historical and Critical Studies, D. Reidel, Dordrecht.
Leibniz, G. W.: 1969, Philosophical Papers and Letters, 2nd ed., ed. by L. E. Loemker, D. Reidel, Dordrecht.
Mates, B.: 1979, ‘Identity and Predication in Plato’, Phronesis 24, 211–229.
Owen, G. E. L.: 1965, ‘Aristotle on the Snares of Ontology’, in R. Bambrough (ed.), New Essays on Plato and Aristotle, Routledge and Kegan Paul, London, pp. 69–95.
Schirn, M. (ed.): 1976, Studien zu Frege/Studies on Frege I-III, Frommann-Holzboog, Stuttgart — Bad Cannstatt.
Stuhlmann-Laeisz, R.: 1975, ‘Freges Auseinandersetzung mit der Auffassung von ‘Existenz’ als ein Prädikat der ersten Stufe und Kants Argumentation gegen den ontologischen Gottesbeweis’, in C. Thiel (ed.), Frege und die moderne Grundlagenforschung, Anton Hain, Meisenheim am Glan, pp. 119–133.
Williams, C. J. F.: 1981, What is Existence?, Clarendon Press, Oxford.
Wittgenstein, L.: 1961, Tractatus Logico-Philosophicus, The German text of Ludwig Wittgenstein’s Logisch-philosophische Abhandlung with a new Translation by D. F. Pears and B. F. McGuinness, Routledge & Kegan Paul, London. (Referred to as TLP.)
Woods, M. J.: 1975, ‘Substance and Essence in Aristotle’, Proceedings of the Aristotelian Society 75, 167–180.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 D. Reidel Publishing Company
About this chapter
Cite this chapter
Haaparanta, L. (1986). Frege on Existence. In: Haaparanta, L., Hintikka, J. (eds) Frege Synthesized. Synthese Library, vol 181. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4552-4_7
Download citation
DOI: https://doi.org/10.1007/978-94-009-4552-4_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8523-6
Online ISBN: 978-94-009-4552-4
eBook Packages: Springer Book Archive