Beth and Bernays on intuitionism

Miriam Franchella

Philosophia Scientiae (1998-1999)

  • Volume: 3, Issue: 4, page 135-148
  • ISSN: 1281-2463

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Franchella, Miriam. "Beth and Bernays on intuitionism." Philosophia Scientiae 3.4 (1998-1999): 135-148. <http://eudml.org/doc/240807>.

@article{Franchella1998-1999,
author = {Franchella, Miriam},
journal = {Philosophia Scientiae},
language = {eng},
number = {4},
pages = {135-148},
publisher = {Éditions Kimé},
title = {Beth and Bernays on intuitionism},
url = {http://eudml.org/doc/240807},
volume = {3},
year = {1998-1999},
}

TY - JOUR
AU - Franchella, Miriam
TI - Beth and Bernays on intuitionism
JO - Philosophia Scientiae
PY - 1998-1999
PB - Éditions Kimé
VL - 3
IS - 4
SP - 135
EP - 148
LA - eng
UR - http://eudml.org/doc/240807
ER -

References

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  1. Bernays, P.1930 " Philosophie der Mathematik und die Hilbertsche Beweistheorie", Blätter für Deutsche Philosophie 4, 326-367; also in (1976), 17-60. The quotations in this article come from this last edition. JFM56.0044.02
  2. Bernays, P.1935 " Sur le Platonisme dans les mathématiques" in L'enseignement mathématique vol. XXXIV, no 1-2, pp. 52-69; Germ. transl. in (1976a) pp. 62-78. Zbl0014.00101JFM61.0047.03
  3. Bernays, P.1946 " Quelques Points de vue concernant le problème de l'évidence", Synthese V, pp. 321-326; Germ. transl. in (1976a) pp. 85-91. 
  4. Bernays, P.1948a " Grundsätzliches zur 'philosophie ouverte'", Dialectica 3, 193-199. 
  5. Bernays, P.1948b " Über die Ausdehnung des Begriffes der Komplementarität auf die Philosophie", Synthese VII, 66-70. 
  6. Bernays, P.1960 " Charakterzüge der Philosophie Gonseths", Dialectica 14, 151 -156. 
  7. Bernays, P.1965 " Some Empirical Aspects of Mathematics", in Dockx S. and Bernays P. eds. Information and Prediction in Science, Academic Press, New York, 123-128. 
  8. Bernays, P.1969 " Bemerkungen zur Philosophie der Mathematik" in Akten des XIV internationalen Kongresses für Philosophie, Herder, Wien, pp. 192-198; also in (1976) 170-175. 
  9. Bernays, P.1970a " Die schematische Korrespondenz und die idealisierten Strukturen" in Dialectica 24, pp. 53-66; also in (1976) 176-188. Zbl0257.02003
  10. Bernays, P.1976Abhandlungen zur Philosophie der Mathematik. Wissenschaftliche Buchgesellschaft, Darmstadt. Zbl0335.02002
  11. Bernays, P.1977 " Überlegungen zu Ferdinand Gonseths Philosophie", Dialectica 31, 119-128. 
  12. Beth, E.W.1935a Rede en Aanschouwing in de Wiskunde, Dissertation, Rijksuniversiteit Utrecht, Noordhoff, Groningen. Zbl61.0969.02JFM61.0969.02
  13. Bernays, P.1935b " Klassieke en moderne scheikunde - Van autonome wetenschap tot onderdeel der natuurkunde", Annalen 5, 35-51 and Algemeen Nederlands Tijdschrift voor Wijsbegeerte en Psychologie 28, 131-147. 
  14. Bernays, P.1938 " Getalbegrip en tijdsaanschouwing", Euclides 15, 190-215. 
  15. Bernays, P.1939Inleiding tot de wijsbegeerte der wiskunde, Philosophische Bibliotheek, Standaard Boekhandel, Antwerpen-Brussel; Dekker & van de Vegt, Nijmegen-Utrecht. 
  16. Bernays, P.1950 " Critical Epochs in the Development of the Theory of Science", British Journal for the Philosophy of Science 1, 291-302. 
  17. Bernays, P.1951 " A Topological Proof of the Completeness Theorem of Löwenheim-Skolem-Gödel", Indagationes Mathematicae 13, 437-444. 
  18. Bernays, P.1954 " Nieuwentyt's Significance for the Philosophy of Science", Synthese 9, 447-453. 
  19. Bernays, P.1955a L'Existence dans les mathématiques, Gauthier-Villars, Paris; Nauwelaerts, Louvain. 
  20. Bernays, P.1955b Les Fondements logiques des mathématiques, Gauthier-Villars, Paris; Nauwelaerts, Louvain. Zbl0065.00101
  21. Bernays, P.1956 " Semantic Construction of Intuitionistic Logic", Mededelingen van de Koninklijke Nederlandse Akademie van Wetenschappen Nieuwe Reeks 19, 357-388. 
  22. Bernays, P.1957a La Crise de la raison et la Logique, Gauthier-Villars, Paris; Nauwelaerts, Louvain. Zbl0077.00909
  23. Bernays, P.1957b " La Logique formelle et la pensée naturelle", in Beth, Mays, Piaget (eds.) Épistémologie génétique et recherche psychologique, Paris, 131-134. 
  24. Bernays, P.1958 " Cogito ergo sum. Raisonnement or intuition?", Dialectica 47, 223-233. Zbl0088.24415
  25. Bernays, P.1959The Foundations of Mathematics, North-Holland, Amsterdam. Zbl0211.00901
  26. Bernays, P.1961Épistémologie mathématique et psychologie (with J. Piaget). PUF, Paris; Engl. transl. Mathematical epistemology and psychology, Reidel, Dordrecht (1966). Quotations in this article corne from the English edition. 
  27. Bernays, P.1964Door wetenschap tot wijsheid, Van Gorcum, Assen. 
  28. Franchella, M.1997a " Paul Bernays' Epistemological Way Towards Gonseth's Theory", CUEM, Milano. 
  29. Franchella, M.1997b " The Philosophy of Mathematics in Hilbert's Circle" in M Franchella Some Contribution to the History of Logic in the 20th Century, CUEM, Milano, 43-84. 
  30. Heyting, A.1949 " Spanningen in de wiskunde", Euclides 25, 233-236, 301-312. 
  31. Heyting, A.1956Intuitionism: an Introduction. North-Holland, Amsterdam. Zbl0070.00801
  32. Heyting, A.1958a " Blick von der intuitionistische Warte", Dialectica 12, 332-345. Zbl0089.24502
  33. Heyting, A.1958b " Intuitionism in Mathematics, in Klibansky (ed.) Philosophy in the mid-century. La Nuova Italia, Firenze, 101-115. Zbl0219.02013
  34. Heyting, A.1962 " After thirty Years", in Nagel-Suppes-Tarski (eds.) Logic, Methodology and Philosophy of Science, Stanford U. P., 194-197. Zbl0166.24702

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