Paul Bernays (bernays-p)

Mentioned on the following portal pages

Contributions to Philosophie.ch

Bibliography

Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1947a. “Editorial (English, français, deutsch).” Dialectica 1(1): 1–10.
Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1947b. “Editorial.” Dialectica 1(2): 115–116.
Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1947c. “Editorial.” Dialectica 1(3): 207–213.
Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1947d. “Editorial.” Dialectica 1(4): 291–292.
Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1948a. “Editorial.” Dialectica 2(5): 5–10.
Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1948b. “Le mouvement scientifique et Synthèse.” Dialectica 2(5): 80–82.
Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1949. “Editorial.” Dialectica 3(12): 247–253.
Bachelard, Gaston, Bernays, Paul and Gonseth, Ferdinand. 1950. “Editorial.” Dialectica 4(14): 83–84.
Bayer, Raymond, Destouches, Jean-Louis, Cazin, M., Eckmann, Beno, Fiala, Félix, Cohen-Séat, G., Christoff, Daniel, Thévenaz, Pierre, Grassi, Ernesto and Bernays, Paul. 1948. “Discussion.” Dialectica 2(6): 280–294.
Bernays, Paul. 1910. “Das Moralprinzip bei Sidgwick und Kant.” Abhandlungen der Fries’schen Schule, neue Folge 3(3).
Bernays, Paul. 1913a. “Über den transzendentalen Idealismus.” Abhandlungen der Fries’schen Schule, neue Folge 4(2): 367–394.
Bernays, Paul. 1913b. “Über die Bedenklichkeiten der neueren Relativitätstheorie.” Abhandlungen der Fries’schen Schule, neue Folge 4(3): 459–482.
Bernays, Paul. 1922a. “Über Hilberts Gedanken zur Grundlegung der Mathematik.” Jahresbericht der Deutschen Mathematiker-Vereinigung 31(1st section): 10–19. Translated in Mancosu (1998, 215–222).
Bernays, Paul. 1922b. “Die Bedeutung Hilberts für die Philosophie der Mathematik.” Die Naturwissenschaften 10: 93–99. Translated in Mancosu (1998, 189–197).
Bernays, Paul. 1923. “Erwiderung auf die Note von Herrn Aloys Müller, ‘Über Zahlen als Zeichen’ .” Mathematische Annalen 90(9–10): 159–163. Translated in Mancosu (1998, 223–226).
Bernays, Paul. 1926. “Axiomatische Untersuchung des Aussagen-Kalküls der ‘Principia mathematica’ .” Mathematische Zeitschrift 25: 305–320, http://eudml.org/doc/167883.
Bernays, Paul. 1928. “Zusatz zu Hilberts Vortrag über ‘Die Grundlagen der Mathematik’ .” Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität 6: 89–92. Reprinted in Hilbert (1928a, 25–28) and in van Heijenoort (1967, 485–489).
Bernays, Paul. 1930. “Die Philosophie der Mathematik und die Hilbertsche Beweistheorie.” Blätter für deutsche Philosophie 4: 326–367. Reprinted in Bernays (1976, 17–61) and as “The philosophy of mathematics and Hilberts proof theory” in Mancosu (1998, 234–265).
Bernays, Paul. 1935a. “Sur le platonisme dans les mathématiques.” L’enseignement mathématique 34(1–2): 52–69. Translated as “On Platonism in Mathematics” in Benacerraf and Putnam (1964).
Bernays, Paul. 1935b. “Quelques points essentiels de la métamathématique.” L’enseignement mathématique 34(1–2): 70–95.
Bernays, Paul. 1937. “A System of Axiomatic Set Theory I.” The Journal of Symbolic Logic 2: 65–77.
Bernays, Paul. 1938. “Zur Frage der Vereinheitlichung der logischen Symbolik.” Erkenntnis 7: 388–389.
Bernays, Paul. 1940. “Review of Gödel (1939).” The Journal of Symbolic Logic 5: 117–118.
Bernays, Paul. 1941. “A System of Axiomatic Set Theory II.” The Journal of Symbolic Logic 6: 1–17.
Bernays, Paul. 1942a. “A System of Axiomatic Set Theory III.” The Journal of Symbolic Logic 7: 65–89.
Bernays, Paul. 1942b. “A System of Axiomatic Set Theory IV.” The Journal of Symbolic Logic 7: 133–145.
Bernays, Paul. 1943. “A System of Axiomatic Set Theory V.” The Journal of Symbolic Logic 8: 89–106.
Bernays, Paul. 1946. “Quelques points de vue concernant le problème de l’évidence.” Synthese 5: 321–326.
Bernays, Paul. 1947a. “Zum Begriff der Dialektik.” Dialectica 1(2): 172–175.
Bernays, Paul. 1947b. “Besprechung von Polya (1945).” Dialectica 1(2): 178–188.
Bernays, Paul. 1948a. “A System of Axiomatic Set Theory VI.” The Journal of Symbolic Logic 13: 65–79.
Bernays, Paul. 1948b. “Über die Ausdehnung des Begriffes der Komplementarität auf die Philosophie.” Synthese 7: 66–66.
Bernays, Paul. 1948c. “Bemerkungen zum Problem der Aesthetik.” Dialectica 2(6): 211.
Bernays, Paul. 1948d. “Grundsätzliches zur ‘philosophie ouverte’ .” Dialectica 2(6): 273–279.
Bernays, Paul. 1950. “Zur methodischen Diskussion (Bemerkungen zu Herrn Perelmans Erörterung ‘Philosophie premières et philosophie régressive’ [Perelman (1949)]).” Dialectica 4(13): 43–45.
Bernays, Paul. 1952a. “Dritte Gespräche von Zürich. Ansprache.” Dialectica 6(22): 130–136.
Bernays, Paul. 1952b. “Gesichtspunkte der Erkenntnistheorie (insbesondere zur Auseinandersetzung mit der Kantischen Erkenntnistheorie).” Dialectica 6(22): 137–140.
Bernays, Paul. 1952c. “Bemerkungen zu der Arbeit von E.E. Harris [Harris (1952)].” Dialectica 6(22): 166.
Bernays, Paul. 1953a. “Diskussionsbemerkung zum Referat von Herrn Husson (1953).” Dialectica 7(25): 32–33.
Bernays, Paul. 1953b. “Einleitendes Referat.” Dialectica 7(28): 318–321.
Bernays, Paul. 1954. “Bemerkungen zu der Betrachtung von A. Wittenberg: Über adäquate Problemstellung in der mathematischen Grundlagenforschung [Wittenberg (1953)].” Dialectica 8(30): 147–151.
Bernays, Paul. 1955a. “Die Mathematik als ein zugleich Vertrautes und Unbekanntes.” Synthese 9(1): 465–471.
Bernays, Paul. 1955b. “Zur Frage der Anknüpfung and die Kantische Erkenntnistheorie.” Dialectica 9(33–34): 23–65.
Bernays, Paul. 1955c. “Zur Frage der Anknüpfung and die Kantische Erkenntnistheorie (Forts.).” Dialectica 9(35–36): 195–221.
Bernays, Paul. 1956. “Zur Diskussion des Themas ‘Der platonische Standpunkt in der Mathematik’ [(finsler:1956?)].” Dialectica 10(39): 262–265.
Bernays, Paul. 1957a. “Von der Syntax der Sprache zur Philosophie der Wissenschaften.” Dialectica 11(43–44): 233–246.
Bernays, Paul. 1957b. “A System of Axiomatic Set Theory VII.” The Journal of Symbolic Logic 22: 81–96.
Bernays, Paul. 1958. Axiomatic Set Theory. Studies in Logic and the Foundations of Mathematics n. 21. Amsterdam: North-Holland Publishing Co. With a historical introduction by Abraham A. Fraenkel; reprint New York: Dover.
Bernays, Paul. 1959a. “Comments on Wittgenstein (1956).” Ratio 2: 1–22. Reprinted in Canfield (1986, 77–98).
Bernays, Paul. 1959b. “Über eine natürliche Erweiterung des Relationenkalküls.” in Constructivity in Mathematics, edited by Arend Heyting, pp. 1–14. Amsterdam: North-Holland Publishing Co. Colloquium on Constructivity in mathematics, Amsterdam, August 1957.
Bernays, Paul. 1959c. “Die Mannigfaltigkeit der Direktiven für die Gestaltung geometrischer Axiomensysteme.” in The Axiomatic Method with Special Reference to Geometry and Physics, edited by Leon Henkin, Patrick Suppes, and Alfred Tarski, pp. 1–15. Amsterdam: North-Holland Publishing Co.
Bernays, Paul. 1960. “Charakterzüge der Philosophia perennis.” Dialectica 14(54–55): 151–156.
Bernays, Paul. 1961a. “Zur Frage der Unendlichkeitsschemata in der axiomatischen Mengenlehre.” in Essays on the Foundations of Mathematics. Dedicated to A.A. Fraenkel on his Seventieth Anniversary, edited by Yehoshua Bar-Hillel, Edward Poznański, Michael O. Rabin, and Abraham Robinson, pp. 3–49. Jerusalem: The Magnes Press. Second edition: Bar-Hillel et al. (1966).
Bernays, Paul. 1961b. “Zur Rolle der Sprache in erkenntnistheoretischer Hinsicht.” Synthese 13(3): 185–200.
Bernays, Paul. 1962a. “Remarks about Formalization and Models.” in Logic, Methodology and Philosophy of Science I: Proceedings of the 1960 International Congress in Stanford, edited by Ernest Nagel, Patrick Suppes, and Alfred Tarski, pp. 176–180. Stanford, California: Stanford University Press.
Bernays, Paul. 1962b. “Zur Rolle der Sprache in erkenntnistheoretischer Hinsicht.” in Logic and Language. Studies dedicated to Professor Rudolf Carnap on the Occasion of His 70th Birthday, edited by B. H. Kazemier and D. Vuysje, pp. 11–26. Synthese Library n. 5. Dordrecht: D. Reidel Publishing Co.
Bernays, Paul. 1963. “Remarks on Harris (1963).” Dialectica 17(65): 49–50.
Bernays, Paul. 1966. “Gedanken zu dem Buch ‘Bildung und Mathematik (Mathematik als exemplarisches Gymnasialfach)’ von Alexander Israel Wittenberg [Wittenberg (1963)].” Dialectica 20(1): 27–41.
Bernays, Paul. 1967a. “What do Some Recent Results in Set Theory Suggest?” in Problems in the Philosophy of Mathematics (Proceedings of the International Colloquium in the Philosophy of Science, London, 1965, volume 1), edited by Imre Lakatos, pp. 109–112. Studies in Logic and the Foundations of Mathematics n. 47. Amsterdam: North-Holland Publishing Co.
Bernays, Paul. 1967b. “Scope and Limits of Axiomatics.” in Delaware Seminar in the Foundations of Physics, edited by Mario Bunge, pp. 188–191. Studies in the Foundations. Methodology and Philosophy of Science n. 1. Berlin: Springer.
Bernays, Paul. 1968. “Remarks on the paper by Dr Sandra Rosenthal (1968).” Dialectica 22(1): 18–19.
Bernays, Paul. 1970a. “Die schematische Korrespondenz und die idealisierten Strukturen.” Dialectica 24(1–3): 53–66.
Bernays, Paul. 1970b. “On the Original Gentzen Consistency Proof for Number Theory.” in Intuitionism and Proof Theory. Proceedings of the Summer Conference at Buffalo N.Y. 1968, edited by Akiko Kino, John Myhill, and Richard E. Vesley, pp. 409–417. Studies in Logic and the Foundations of Mathematics n. 60. Amsterdam: North-Holland Publishing Co.
Bernays, Paul. 1971. “Zum Symposium über die Grundlagen der Mathematik.” Dialectica 25(3–4): 171–196.
Bernays, Paul. 1973. “Über die Auffassung formaler Systeme als Sprachen.” Dialectica 27(3–4): 359–362.
Bernays, Paul. 1974. “Zu den Maximalprinzipien der Mengenlehre.” in Proceedings of the Tarski Symposium. An International Symposium Held to Honor Alfred Tarski on the Occasion of his Seventieth Birthday, edited by Arend Heyting, pp. 289–296. Proceedings of Symposia in Pure Mathematics n. 25. Providence, Rhode Island: American Mathematical Society. Held at the University of California, Berkeley, June 23-30, 1971.
Bernays, Paul. 1975a. “Zu der Abhandlung von Raymond L. Weiss ‘Historicism and Science: Thoughts on Quine’ [Weiss (1975)].” Dialectica 29(2–3): 167–172.
Bernays, Paul. 1975b. “Mathematics as a Domain of Theoretical Science and of Mental Experience.” in Logic Colloquium ’73, edited by H. E. Rose and John C. Shepherdson, pp. 1–4. Studies in Logic and the Foundations of Mathematics n. 80. Amsterdam: North-Holland Publishing Co.
Bernays, Paul. 1976. Abhandlungen zur Philosophie der Mathematik. Darmstadt: Wissenschaftliche Buchgesellschaft.
Bernays, Paul. 1977a. “Überlegungen zu Ferdinand Gonseths Philosophie.” Dialectica 31(1–2): 119–128.
Bernays, Paul. 1977b. “Sprache und Wirklichkeit: Im Vorfeld der Fragestellungen.” Dialectica 31(3–4): 217–224.
Bernays, Paul. 1979a. “Gesichtspunkte zur natürlichen Ontologie.” in Ontologie und Logik \(\cdot\) Ontology and Logic, edited by Paul Weingartner and Edgar Morscher, pp. 9–18. Berlin: Duncker & Humblot. Proceedings of an International Colloquium (Salzburg, 21.-24. September 1976).
Bernays, Paul. 1979b. “Brief an Herrn Várdy.” Dialectica 33(1): 31–36.
Bernays, Paul. 2003. Essai de philosophie des mathématiques. Mathesis. Paris: Librairie philosophique Jean Vrin.
Bernays, Paul, Gagnebin, Samuel, Gonseth, Ferdinand, Husson, Léon, Mercier, André, Moser, Simon and Perelman, Chaı̈m. 1952. “Discussion préliminaire.” Dialectica 6(22): 145–165.
Bernays, Paul, Gonseth, Ferdinand and Preissmann, Alexandre. 1947. “Contradiction et non-contradiction.” Dialectica 1(4): 305–318.
Bernays, Paul and Schönfinkel, Moses. 1928. “Zum Entscheidungsproblem der mathematischen Logik.” Mathematische Annalen 99: 342–372.
Bouligand, Georges, Ladrière, Jean, Freudenthal, M. and Bernays, Paul. 1960. “Discussion.” Dialectica 14(56): 321–328.
Fierz, Markus, Destouches, Jean-Louis, Pauli, Wolfgang, Bernays, Paul and Gonseth, Ferdinand. 1954. “Diskussion.” Dialectica 8(30): 118–124.
Gochet, Paul, Bernays, Paul and Bachelard, Gaston. 1961. “Editorial.” Dialectica 15(57–58): 9–11.
Gonseth, Ferdinand, Filiasi, M., Breton, Stanislas, Fréchet, Maurice, Bernays, Paul and Salman, B. P. 1960. “Discussion.” Dialectica 14(56): 349–364.
Hilbert, David and Bernays, Paul. 1934. Die Grundlagen der Mathematik, Band I. Berlin: Springer Verlag, doi:10.1007/978-3-642-86894-8.
Hilbert, David and Bernays, Paul. 1939. Die Grundlagen der Mathematik, Band II. Berlin: Springer Verlag, doi:10.1007/978-3-642-86896-2.
Linder, Arthur, Destouches, Jean-Louis, Bernays, Paul, Richter, Helmut, Ostrowski, A., Féraud, L. and Nolfi, Padrot. 1954. “Sur un aspect paradoxal de la théorie des probabilités.” Dialectica 8(30): 125–144.
Müller, Aloys and Bernays, Paul. 1924. “Über den Gegenstandscharakter der Zahlen.” Annalen der Philosophie und philosophischen Kritik 4(9–10): 485–512.

Further References

Benacerraf, Paul and Putnam, Hilary, eds. 1964. Philosophy of Mathematics: Selected Readings. Englewood Cliffs, New Jersey: Prentice-Hall, Inc. Second edition: Benacerraf and Putnam (1983).
Benacerraf, Paul and Putnam, Hilary, eds. 1983. Philosophy of Mathematics: Selected Readings. 2nd ed. Cambridge: Cambridge University Press. First edition: Benacerraf and Putnam (1964), doi:10.1017/cbo9781139171519.
Canfield, John V., ed. 1986. The Philosophy of Wittgenstein 11: The Philosophy of Mathematics. New York: Garland Publishing Co.
Gödel, Kurt. 1939. “The Consistency of the Generalized Continuum Hypothesis.” Bulletin of the American Mathematical Society 45: 93. Reprinted in Gödel (1990, 27).
Gödel, Kurt. 1990. Collected Works. Volume II: Publications 1938–1974. Oxford: Oxford University Press. Edited by Solomon Feferman, John W. Dawson, Jr., Stephen C. Kleene, Gregory H. Moore, Robert M. Solovay and Jean van Heijenoort, doi:10.1093/oso/9780195147216.001.0001.
Harris, Errol E. 1952. “Some Recent Criticisms of Berkeley.” Dialectica 6(22): 167–185.
Harris, Errol E. 1963. “The End of a Phase.” Dialectica 17(65): 23–48.
van Heijenoort, Jan, ed. 1967. From Frege to Gödel: A Source Book in Mathematical Logic 1879-1931. Cambridge, Massachusetts: Harvard University Press.
Hilbert, David. 1899. Grundlagen der Geometrie. Leipzig: B.G. Teubner. Originally published in “Festschrift zur Feier der Enthüllung des Gauss-Weber Denkmals in Göttingen.” Later editions published in 1903, 1909, 1911, 1922 and 1930. Translation by Leo Unger of the 10th German Edition: Hilbert (1971).
Hilbert, David. 1928a. Die Grundlagen der Mathematik, mit Zusätzen von Hermann Weyl and Paul Bernays. Hamburger Mathematische Einzelschriften n. 5. Leipzig: B.G. Teubner. Contains reprints of Hilbert (1928b), Weyl (1928) and Bernays (1928).
Hilbert, David. 1928b. “Die Grundlagen der Mathematik.” Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität 6: 65–85. Reprinted in Hilbert (1928a, 1–21) and Hilbert (1930, 289–312); translated by Stefan Bauer-Mengelberg and Dagfinn Føllesdal van Heijenoort (1967, 464–479).
Hilbert, David. 1930. Grundlagen der Geometrie. 7th ed. Leipzig: B.G. Teubner. First edition: Hilbert (1899).
Hilbert, David. 1971. Foundations of Geometry. LaSalle, Illinois: Open Court Publishing Co. Translation by Leo Unger of the 10th German Edition of Hilbert (1899).
Husson, Léon. 1953. “Théorie et expérience.” Dialectica 7(25): 22–31.
Mancosu, Paolo, ed. 1998. From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920s. Oxford: Oxford University Press.
Perelman, Chaı̈m. 1949. “Philosophies premières et philosophie régressive.” Dialectica 3(11): 175–191.
Polya, George. 1945. How to Solve It: A New Aspect of Mathematical Method. (Princeton Science Library), rev. 2nd ed. 1953. Princeton, New Jersey: Princeton University Press.
Rosenthal, Sandra B. 1968. “The Cognitive Status of Theoretical Terms.” Dialectica 22(1): 3–17.
Weiss, Raymond L. 1975. “Historicism and Science: Thoughts on Quine.” Dialectica 29(2–3): 157–166.
Weyl, Hermann. 1928. “Diskussionsbemerkungen zu dem zweiten Hilbertschen Vortrag über die Grundlagen der Mathematik.” Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität 6: 86–88.
Wittenberg, Alexander Israel. 1953. “Über adäquate Problemstellung in der mathematischen Grundlagenforschung.” Dialectica 7(27): 232–254.
Wittenberg, Alexander Israel. 1963. Bildung und Mathematik (Mathematik als exemplarisches Gymnasialfach). Stuttgart: Ernst Klett Verlag.
Wittgenstein, Ludwig. 1956. Remarks on the Foundations of Mathematics / Bemerkungen über die Grundlagen der Mathematik. Oxford: Basil Blackwell Publishers. Edited by G.H. von Wright, G.E.M. Anscombe and R. Rhees, translation from the German by G.E.M. Anscombe.