Abstrakt
DOI: http://doi.org/10.26333/stsen.xxx.04
In 1893 and 1903, two volumes of Frege’s most important work Grundegezte der Arithmetik were published. This period can be called the peak of Frege’s logicism. Although the subject of truth in Frege’s logical and philosophical works has been repeatedly investigated there is a lack of studies on his view in this period, especially in the Polish literature.In this article, therefore, I carry out the following research task: to collect and order Frege’s statements about the truth during the period of publishing two volumes of Grundegezte der Arithmetik. I will refer to texts published during Frege’s life, published posthumously and his correspondence. Particularly noteworthy are: Grundegezte der Arithmetik and the unpublished Logik (1897–1898). That iswhy separate sections are devoted to these two items, and remarks on truth from other texts are grouped thematically: the problem of antinomy, geometry, expression of generality, and others. The subject of truth appears here in relation to logic, philosophy of language, philosophy of logic, philosophy of mathematics and ontology.
Bibliografia
Baldwin, T. (1997). Frege, Moore, Davidson: The Indefinability of Truth. Philosophical Topics, 25(2), 1–18.
Besler, G. (2010). Gottloba Fregego koncepcja analizy filozoficznej. Katowice: Wydawnictwo Uniwersytetu Śląskiego.
Besler, G. (2016). Philosophical and Mathematical Correspondence Between Gottlob Frege and Bertrand Russell in the Years 1902–1904. Some Uninvestigated Topics. Folia Philosophica, 35, 85–100.
Blanchette, P. (2015). Frege’s Critique of Modern Axioms. In: D. Schott (Ed.), Frege: Freund(e) und Feind(e). Proceedings of the International Conference 2013 (pp. 105–120). Berlin: Logos Verlag.
Burge, T. (2005). Truth, Thought, Reason. Essays on Frege. Oxford: Clarendon Press.
Cook, R. (2016). Appendix: How to read Grundgesetze. In: G. Frege (2016), pp. A-1–A-42.
Dummett, M. (1981). The Interpretation of Frege’s Philosophy. Cambridge: Harvard University Press.
Frege, G. (1879/1997). Begriffsschrift und andere Aufsätze. Hrsg. I, Angelelli. Hildesheim, Zürich, New York: Georg Olms Verlag. English edition: Conceptual Notation. In: G. Frege (1972), pp. 101–203.
Frege, G. (1885/1990). Über formale Theorien der Arithmetik. In: G. Frege (1990), pp. 103–111.
Frege, G. (1892/1990a). Über Begriff und Gegenstand. In: G. Frege (1990), pp. 167–178. English edition: On Concept and Object. In: G. Frege (1984), pp. 182–194.
Frege, G. (1892/1990b). Über Sinn und Bedeutung. In: G. Frege (1990), pp. 143–162. English edition: On Sense and Meaning. In: G. Frege (1984), pp. 157–177.
Frege, G. (1893/2009). Grundgesetze der Arithmetik. Begriffsschrift abgeleitet. Bd. 1. In: G. Frege (2009), pp. 1–303. English edition: G. Frege (2016), pp. I–XXXII, 1–253.
Frege, G. (1896/1990). Über die Begriffsschrift des Herrn Peano und meine eigene. In: G. Frege (1990), pp. 220–233. English edition: On Mr. Peano’s Conceptual notation and My Own. In: Frege, G. (1984), pp. 234–248.
Frege, G. (1899/1990). Über die Zahlen des Herrn H. Schubert. In: G. Frege (1990), pp. 240–261. English edition: On Mr. H. Schubert’s Numbers. In: G. Frege (1984), pp. 249–272.
Frege, G. (1903/2009a). Grundgesetze der Arithmetik. Begriffsschrift abgeleitet. Bd. 2. In: G. Frege (2009), pp. 305–583. English edition: Frege (2016), pp. I–XV, 1–266.
Frege, G. (1903/2009b). Nachwort. In: G. Frege (2009), pp. 549–563. English edition: Afterword. In: G. Frege (2016), pp. 253–265.
Frege, G. (1903/1990). Über die Grundlagen der Geometrie. In: G. Frege (1990), pp. 262–266. English edition: On the Foundation of Geometry. First Series. In: G. Frege (1984), pp. 273–284.
Frege, G. (1908/1990). Die Unmöglichkeit der Thomaeschen formalen Arithmetik aufs neue nachgewiesen. In: G. Frege (1990), pp. 329–333.
Frege, G. (1918–1919/1990a). Der Gedanke. Eine logische Untersuchung. In: G. Frege (1990) s. 342–361. English edition: Logical Investigation. I Thoughts. In: G. Frege (1984), pp. 351–372.
Frege, G. (1918–1919/1990b). Die Verneinung. Eine logische Untersuchungen. In: G. Frege (1990), pp. 362–378. English edition: Logical Investigation. II Negation. In: G. Frege (1984), pp. 373–389.
Frege, G. (1923/1990). Gedankengefüge. In: G. Frege (1990), pp. 378–394. English edition: Logical Investigation. III Compound Thoughts. In: G. Frege (1984), pp. 390–406.
Frege G. (1972). Conceptual Notation and Related Articles. Ed., transl., Bibliography, Introduction T. W. Bynum. Oxford: At the Clarendon Press.
Frege, G. (1976). Wissenschaftlicher Briefwechsel. Hrsg. G. Gabriel, H. Hermes, F. Kambartel, Ch. Thiel, A. Veraart. Hamburg: Felix Meiner Verlag.
Frege, G. (1895/1980). Frege to Hilbert, 1.10. In: G. Frege (1980), pp. 58–59. English edition: Frege to Hilbert. In: G. Frege (1980), pp. 32–34.
Frege, G. (1896/1976). Frege an Peano, 29.09. In: G. Frege (1976), pp. 181–186. English edition: Frege to Peano. In: G. Frege (1980), pp. 112–118.
Frege, G. (1896–1903/1976). Frege an Peano, n.d. In: G. Frege (1976), pp. 194–198. English edition: Frege to Peano. In: G. Frege (1980), pp. 125–129.
Frege, G. (1899/1976). Frege an Hilbert, 27.12. In: G. Frege (1976), pp. 60–64. English edition: Frege to Hilbert. In: G. Frege (1980), pp. 34–38.
Frege, G. (1900/1976). Frege an Hilbert, 6.01. In: G. Frege (1976), pp. 70–76. English edition: Frege to Hilbert. In: G. Frege (1980), pp. 43–48.
Frege, G. (1902/1976a). Frege an Russell, 22.06. In: G. Frege (1976), pp. 212–215. English edition: Frege to Russell. In: G. Frege (1980), pp. 131–133.
Frege, G. (1902/1976b). Frege an Russell, 29.06. In: G. Frege (1976), pp. 217–219. Frege to Russell. In: G. Frege (1980), pp. 135–137.
Frege, G. (1902/1976c). Frege an Russell, 20.10. In: G. Frege (1976), pp. 231–233. Frege to Russell. In: G. Frege (1980), pp. 149–150.
Frege, G. (1903/1976). Frege an Russell, 21.05. In: G. Frege (1976), pp. 239–241. Frege to Russell. In: G. Frege (1980), pp. 156–158.
Frege, G. (1904/1976). Frege an Russell, 3.11. In: G. Frege (1976), pp. 243–248. Frege to Russell. In: G. Frege (1980), pp. 160–166.
Frege G. (1979). Posthumous Writing. Eds. H. Hermes, F. Kambartel, F. Kaulbach. Trans. P. Long, R. White. Oxford: Basil Blackwell.
Frege G. (1980). Philosophical and Mathematical Correspondence. Eds. G. Gabriel, H. Hermes, F. Kambartel, Ch. Thiel, A. Veraart. Abridged for the English ed. B. Mcguinness. Transl. H. Kaal. Oxford, Basil Blackwell.
Frege, G. (1983). Nachgelassene Schriften. Hamburg: Felix Meiner Verlag.
Frege, G. (1879–1891/1983). Logik. In: G. Frege (1983), pp. 1–8. English edition: In: G. Frege (1979), pp. 1–8.
Frege, G. (1897/1983). Logik. In: G. Frege (1983), pp. 137–163. English edition: Logic. In: G. Frege (1979), pp. 126–151.
Frege, G. (1897–1898/1983). Begründung meiner strengeren Grundsätze des Definierens. In: G. Frege (1983), pp. 164–170.
Frege, G. (1898–1903/1983). Logische Mängel in der Mathematik. In:
G. Frege (1983), pp. 171–181. English edition: Logical Defects in Mathematics. In: G. Frege (1979), pp. 157–166.
Frege, G. (1899–1906/1983). Über Euklidische Geometrie. In: G. Frege (1983), pp. 182–184. English edition: On Euclidean Geometry. In: G. Frege (1979), pp. 167–169.
Frege, G. (1906/1983). Einleitung in die Logik. In: G. Frege (1983), pp. 201–212. English edition: Introduction to Logic. In: G. Frege (1979), pp. 185–196.
Frege, G. (1914/1983). Logik in der Mathematik. In: G. Frege (1983), pp. 219–270. English edition: Logic in Mathematics. In: G. Frege (1979), pp. 203–250.
Frege, G. (1984). Collected Papers on Mathematics, Logic, and Philosophy. Ed. B. McGuinness. Oxford: Basil Blackwell.
Frege, G. (1990). Kleine Schriften. Hrsg. I. Angelelli. Hildesheim: Georg Olms.
Frege, G. (2009). Grundgesetze der Arithmetik. Begriffsschrift abgeleitet. Bd. 1 und 2, in moderne Formelnotation transkribiert und mit einem ausführlichen Sachregister versehen von T. Müller, B. Schröder, R. Stuhlmann-Laeisz. Paderborn: Mentis.
Frege, G. (2016). Basic Laws of Arithmetic. Derived Using Concept-Script. Eds., transl. Ph. Ebert, M. Rossberg, C. Wright. Oxford: Oxford University Press.
Freudenthal, H. (2009). Selecta. Retrieved from: https://www.maths.ed.ac.uk/~v1ranick/papers/freudselecta.pdf
Freudenthal, H. (1957/2009). Zur Geschichte der Grundlagen der Geometrie. Zugleich eine Besprechung der 8. Aufl. von Hilbert’s “Grundlagen der Geometrie”. In: H. Freudenthal (2009), pp. 486–523.
Glanzberg, M. (2018). The Oxford Handbook of Truth. Oxford: Oxford University Press.
Greimann, D. (2000). The Judgement-Stroke as a Truth-Operator. A New Interpretation of the Logical Form of Sentences in Frege’s Scientific Language. Erkenntnis, 52(2), 213–238.
Greimann, D. (2003a). Das Wahre und das Falsche. Hildesheim, Zűrich, New York: Georg Olms Verlag.
Greimann, D. (2003b). Freges Konzeption der Wahrheit. Hildesheim. Zűrich, New York: Georg Olms Verlag.
Greimann, D. (Ed.). (2007). Essays on Frege’s Conception of Truth. Amsterdam, New York: Rodopi.
Heck, R. (2010). Frege and Semantics. In: M. Potter, T. Ricketts (Eds.), The Cambridge companion to Frege (pp. 342–378). New York: Cambridge University Press.
Heck, R. G., May, R. (2018). Truth in Frege. In: M. Glanzberg (Ed.), The Oxford Handbook of Truth (pp. 193–215). New York: Oxford University Press.
Hilbert, D. (1899). Grundlagen der Geometrie. Leipzig: Verlag von B. G. Teubner.
Marek, I. (1993). Początki matryc logicznych. Logika, 15, 5–44.
Potter, M., Ricketts T. (Eds.). (2010). The Cambridge Companion to Frege. Cambridge: Cambridge University Press.
Reck E. H. (2002). From Frege to Wittgenstein. Perspectives on Early Analytic Philosophy. Oxford: Oxford University Press.
Russell, B. (1902/1976). Russell and Frege, 16.06. In: G. Frege (1976), pp. 211–212. English edition: Murawski (1986), pp. 221–222.
Schott D. (Ed.). (2015). Frege: Freund(e) und Feind(e). Proceedings of the International Conference 2013. Berlin: Logos Verlag, pp. 105–120.
Sluga H. (2002). Frege on Indefinability of Truth. In: E. H. Reck (Ed.), From Frege to Wittgenstein. Perspectives on Early Analytic Philosophy (pp. 75–95). Oxford: Oxford University Press.
Weiner J. (2002). Section 31 Revisited. Frege’s Elucidations. In: E. H. Reck, From Frege to Wittgenstein. Perspectives on Early Analytic Philosophy (pp. 149–182). Oxford: Oxford University Press.
Wittgenstein, L. (1921/1997). Tractatus logico-philosophicus. Logisch-philosophische Abhandlung. Leipzig: Unesma. English edition: Tractatus logico-philosophicus. New York: Dover Publications, Inc.