References for Bernard Bolzano


  1. B van Rootselaar, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/doc/1G2-2830900515.html
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/eb/article-9080527/Bernhard-Bolzano

Books:

  1. J Berg, Bolzano's Logic (Stockholm, 1962).
  2. H Fels, Bernhard Bolzano, sein Leben und sein Werk (Leipzig, 1929).
  3. V Jarnik, Bolzano and the foundations of mathematical analysis (Prague, 1981).
  4. L Novy, Bolzano, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983).
  5. S Russ, The mathematical works of Bernard Bolzano (Oxford University Press, Oxford, 2004).
  6. J Sebestik, Logique et mathématique chez Bernard Bolzano (Librairie Philosophique J Vrin, Paris, 1992).

Articles:

  1. Y Bar-Hillel, Bolzano's propositional logic, Arch. Math. Logik Grundlagenforsch. 1 (1952), 65-98.
  2. Y Bar-Hillel, Bernard Bolzano, in P Edwards (ed.), The Encyclopedia of Philosophy 1 (Collier Macmillan, London, 1967), 337-338
  3. J Berg, Bolzano and situation semantics: variations on a theme of variation, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 373-377.
  4. J Berg, Bolzano on induction, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 442-446.
  5. J Berg, Is Russell's antinomy derivable in Bolzano's logic?, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 406-413.
  6. J Berg, H Ganthaler and E Morscher, Bolzanos Biographie in tabellarischer übersicht, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 353-372.
  7. J Berg, A requirement for the logical basis of scientific theories implied by Bolzano's logic of variation, in Impact of Bolzano's epoch on the development of science (Prague, 1982), 415-425.
  8. K Berka, Bolzano's philosophy of science, in Impact of Bolzano's epoch on the development of science (Prague, 1982), 427-442.
  9. K Berka, Bernard Bolzano - historian of logic (Czech), DVT---Dejiny Ved Tech. 31 (3) (1998), 121-130.
  10. P Bussotti, The problem of the foundations of mathematics at the beginning of the nineteenth century : Two lines of thought: Bolzano and Gauss (Italian), Teoria (N.S.) 20 (1) (2000), 83-95.
  11. A Canada and S Villegas, Bolzano's theorem in several variables? (Spanish), Gac. R. Soc. Mat. Esp. 7 (1) (2004), 101-121.
  12. C Chihara, Frege's and Bolzano's rationalist conceptions of arithmetic, Rev. Histoire Sci. 52 (3-4) (1999), 343-361.
  13. A Coffa, Kant, Bolzano and the emergence of logicism, J. Philos. 74 (1982), 679-689.
  14. A Coffa, Kant, Bolzano and the emergence of logicism, in Frege's philosophy of mathematics (Harvard Univ. Press, Cambridge, MA, 1995), 29-40.
  15. A Coffa, Bolzano and the birth of semantics, in The Semantic Tradition from Kant to Carnap (Cambridge University Press, Cambridge, 1991), 22-40.
  16. L J Cohen, Bolzano's theory of induction, in Impact of Bolzano's epoch on the development of science (Prague, 1982), 443-457.
  17. G J W Dorn, Zu Bolzanos Wahrscheinlichkeitslehre, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 423-441.
  18. B I B Fedorov, Bolzano's ideas on the methodological analysis of science (Russian), Methodological analysis of the foundations of mathematics 'Nauka' (Moscow, 1988), 36-46.
  19. B I Fedorov, B Bolzano as a precursor of constructivism, II (Russian), Logical investigations (Russian) No. 8 (Moscow, 2001), 210-216,
  20. W Felscher, Bolzano, Cauchy, epsilon, delta, Amer. Math. Monthly 107 (9) (2000), 844-862.
  21. R George, Bolzano on time, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 452-468.
  22. R George, Bolzano's concept of consequence, J. Philos. 83 (10) (1986), 558-564.
  23. R George, Bolzano's consequence, relevance, and enthymemes, J. Philos. Logic 12 (3) (1983), 299-318.
  24. J Hafner, Bolzano's criticism of indirect proofs, Rev. Histoire Sci. 52 (3-4) (1999), 385-398.
  25. D M Johnson, Prelude to dimension theory : The geometrical investigations of Bernhard Bolzano, Archive for History of Exact Science 17 (1976), 275-296.
  26. P Kitcher, Bolzano's ideal of algebraic analysis, Studies in Hist. and Philos. Sci. 6 (3) (1975), 229-269.
  27. W Kunne, Bernard Bolzano, in Routledge Encyclopedia of Philosophy 1 (London, New York, 1998), 824-828.
  28. D Laugwitz, Bolzano's infinitesimal numbers, Czechoslovak Math. J. 32 (1982), 667-670.
  29. D Laugwitz, Bemerkungen zu Bolzanos Grössenlehre, Arch. History Exact Sci. 2 (1964/1965), 398-409.
  30. P Lingua, La teoria dei numeri reali in un manoscritto di B. Bolzano, Period. Mat. (4) 42 (1964), 209-214.
  31. K Macak, Bernard Bolzano and the calculus of probabilities (Czech), Mathematics in the 19th century (Czech), Vyskov, 1994 (Prometheus, Prague, 1996), 39-55.
  32. P Mancosu, Bolzano and Cournot on mathematical explanation, Rev. Histoire Sci. 52 (3-4) (1999), 429-455.
  33. P Maritz, The Bolzano house in Prague, Austral. Math. Soc. Gaz. 28 (4) (2001), 177-183.
  34. H Metzler, Bernard Bolzanos Beitrag zum Gestaltwandel der Logik, in Impact of Bolzano's epoch on the development of science (Prague, 1982), 479-489.
  35. J Meurers, Bolzanos Paradoxien des Unendlichen und die von Seeliger-Charlierschen Sätze über ein unendliches Universum, Philos. Natur. 15 (1974/75), 176-190.
  36. E Morscher, Bolzanos Syllogistik, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 447-451.
  37. M Nemcova, Frantisek Josef Studnicka and Bernard Bolzano (Czech), Mathematics in the 19th century (Czech), Vyskov, 1994 (Prometheus, Prague, 1996), 115-119.
  38. L Novy, Les mathématiciens sous l'absolutisme autrichien : Bernard Bolzano et Franz Xaver Moth, Boll. Storia Sci. Mat. 15 (1) (1995), 49-59.
  39. L Novy, Bolzano's contribution to science and society, in Impact of Bolzano's epoch on the development of science (Prague, 1982), 9-23.
  40. J Proust, Bolzano's theory of representation, Rev. Histoire Sci. 52 (3-4) (1999), 363-383.
  41. P Rusnock, Philosophy of mathematics: Bolzano's responses to Kant and Lagrange, Rev. Histoire Sci. 52 (3-4) (1999), 399-427.
  42. S Russ, Bolzano's analytic programme, The Mathematical intelligencer 14 (3) (1992), 45-53.
  43. S Russ, Bolzano's analytic programme (Czech), Pokroky Mat. Fyz. Astronom. 38 (5) (1993), 249-259.
  44. S Russ, Influence of Bolzano's methodology on the development of his mathematics, in Impact of Bolzano's epoch on the development of science (Prague, 1982), 335-337.
  45. S B Russ, A translation of Bolzano's paper on the intermediate value theorem, Historia Math. 7 (2) (1980), 156-185.
  46. G Schubring, Bernard Bolzano - Not as Unknown to His Contemporaries as is Commonly Believed?, Historia Mathematica 20 (1993), 45-53.
  47. J Sebestik, The mathematical system of Bernard Bolzano (Spanish), Mathesis 6 (4) (1990), 393-417.
  48. J Sebestik, Bernard Bolzano et son mémoire sur le théorème fondamental de l'analyse, Rev. Histoire Sci. Appl. 17 (1964), 129-164.
  49. J Sebestik, Forme, variation et déductibilité dans la logique de Bolzano, Rev. Histoire Sci. 52 (3-4) (1999), 479-506.
  50. P Simons, Bolzano, Tarski, and the limits of logic, Bolzano - Studien. Philos. Natur. 24 (4) (1987), 378-405.
  51. H Sinaceur, Cauchy et Bolzano, Rev. Histoire Sci. Appl. 26 (2) (1973), 97-112.
  52. H Sinaceur, Réalisme mathématique, réalisme logique chez Bolzano, Rev. Histoire Sci. 52 (3-4) (1999), 457-477.
  53. H Sinaceur, Bolzano et les mathématiques, in Les philosophes et les mathématiques (Ellipses, Paris, 1996), 150-173.
  54. D D Spalt, Bolzanos Lehre von den messbaren Zahlen 1830-1989, Arch. Hist. Exact Sci. 42 (1) (1991), 15-70.
  55. D D Spalt, Die mathematischen und philosophischen Grundlagen des Weierstrass schen Zahlbegriffs zwischen Bolzano und Cantor, Arch. Hist. Exact Sci. 41 (4) (1991), 311-362.
  56. W Stelzner, Compatibility and relevance: Bolzano and Orlov, in The Third German-Polish Workshop on Logic & Logical Philosophy, Dresden, 2001, Logic Log. Philos. No. 10, (2002), 137-171.
  57. P Thompson, Bolzano's deducibility and Tarski's logical consequence, Hist. Philos. Logic 2 (1981), 11-20.
  58. J van Benthem, The variety of consequence, according to Bolzano, Studia Logica 44 (4) (1985), 389-403.
  59. B van Rootselaar, Bolzano's corrections to his Functionenlehre, Janus 56 (1969), 1-21.
  60. B van Rootselaar, Bolzano's theory of real numbers, Arch. History Exact Sci. 2 (1964/1965), 168-180.
  61. A Vogt, On the relationship between philosophy and mathematics in the work of B Bolzano and B Riemann, in Impact of Bolzano's epoch on the development of science (Prague, 1982), 365-366.
  62. R V'yborn'y, Bolzano's anniversary, Austral. Math. Soc. Gaz. 28 (4) (2001), 177-183.
  63. H Wussing, Bernard Bolzano und die Grundlegung der Analysis, Mitt. Math. Ges. DDR (2-4) (1981), 128-152.

September 2005


MacTutor History of Mathematics
[http://www-history.mcs.st-andrews.ac.uk/References/Bolzano.html]