Ontological convictions and epistemological obstacles in bolzano's elementary geometry

Science and Education

Volumn 10, Issue 4, 2001, Pages 409-418

  Waldegg, Guillermina ^a  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844447614     PISSN: 09267220     EISSN: 15731901     Source Type: Journal    
DOI: 10.1023/A:1011260228649     Document Type: Article

References (11)

1. Bachelard, G.: 1938, La Formation de l'Esprit Scientifique, Paris, Vrin.
2. Bolzano, B.: 1804, Betrachtungen über einige Gegenstände der Elementargeometrie, Prague ("Considerations on Some Objects of Elementary Geometry", translation S. Russ, The Mathematical Works of Bernard Bolzano, mimeo).
3. Bolzano, B.: 1810, Beiträge zu einer begründeteren Darstellung der Mathematik, Prague ("Contributions to a More Well-Founded Presentation of Mathematics", translation S. Russ, The Mathematical Works of Bernard Bolzano, mimeo).
4. Bolzano, B.: 1817, 'Purely Analytic Proof of the Theorem that between Two Values Which Give Results of Opposite Sign There Lies at Least One Real Root of the Equation', in Russ, S. 1980.
5. Bolzano, B.: 1837, Wissenschaftleher, Seidel, Sulzbach (Theory of Science partly translated in R. George (ed.), Oxford, Basil Blackwell, 1972).
6. Bolzano, B.: 1851, Paradoxien des Unendlichen, Leipzig (Paradojas del Infinito, Spanish translation L. F. Segura, Mathema, Mexico, 1991).
7. Duroux, A.: 1982, La Valeur Absolue: Difficultés Majeures pour une Notion Mineure. Publications IREM, Bordeaux.
8. Russ, S.: 1980, 'Translation of Bolzano's Paper on the Intermediate Value Theorem', Historia Mathematica 7, 156-185.
9. Russ, S.: 1992, 'Bolzano's Analytic Programme', The Mathematical Intelligencer 14(3), 45-53.
10. Sebestik, J.: 1964, 'Bernard Bolzano et son Mémoire sur le Théoréme Fondamental de l'Analyse', Revue d'Histoire des Sciences 17, 129-164.
11. Sebestik, J.: 1992, Logique et Mathématique chez Bernard Bolzano, VRIN, Paris.