The epistemological foundations of geometry in 19th century

Ladislav Kvasz

Philosophia Scientiae (1998-1999)

  • Volume: 3, Issue: 2, page 183-201
  • ISSN: 1281-2463

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Kvasz, Ladislav. "The epistemological foundations of geometry in 19th century." Philosophia Scientiae 3.2 (1998-1999): 183-201. <http://eudml.org/doc/240724>.

@article{Kvasz1998-1999,
author = {Kvasz, Ladislav},
journal = {Philosophia Scientiae},
keywords = {language of geometry; perspective painting; horizon; Desargues; projective geometry; Saccheri; Lambert; Euclid and non-Euclid},
language = {eng},
number = {2},
pages = {183-201},
publisher = {Éditions Kimé},
title = {The epistemological foundations of geometry in 19th century},
url = {http://eudml.org/doc/240724},
volume = {3},
year = {1998-1999},
}

TY - JOUR
AU - Kvasz, Ladislav
TI - The epistemological foundations of geometry in 19th century
JO - Philosophia Scientiae
PY - 1998-1999
PB - Éditions Kimé
VL - 3
IS - 2
SP - 183
EP - 201
LA - eng
KW - language of geometry; perspective painting; horizon; Desargues; projective geometry; Saccheri; Lambert; Euclid and non-Euclid
UR - http://eudml.org/doc/240724
ER -

References

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  1. Beltrami, Eugenio1868Saggio di interpetrazione della geometria Non-Euclidea, G. Mat. 6, 248-312. 
  2. Cayley, Arthur1859A sixth memoir upon quantics, Phil. Trans. Vol. 149, p. 61-90. 
  3. Courant, Richard and Robbins, Herbert1941What is mathematics ? Oxford University Press, New York, 1978. Zbl0060.12302
  4. Gray, Jeremy1979Ideas of Space Euclidean, Non-Euclidean, and Relativistic, Clarendon Press, Oxford. Zbl0461.01002
  5. Klein, Felix1872Vergleichende Betrachtungen über neuere geometrische Forschungen (Das Erlanger Program), A. Deichert, Erlangen. Zbl25.0871.01JFM04.0229.01
  6. Kvasz, Ladislav1994Henri Poincaré and the Epistemological Interpretation of the Erlangen Program. In : Actes du Congres Henri Poincaré - Nancy 1994, Philosophia Scientiae 1996/4. 
  7. Lobachevsky, Nikolaj Ivanoviè1829O naèalach geometrii, in : Polnoje sobranie soèmenij, GITTL, Leningrad, 1946. 
  8. Poincaré, Henri1902La Science et l'Hypothèse. Paris, Flammarion Zbl34.0080.12JFM34.0080.12
  9. Wittgenstein, Ludwig1921Tractatus Logico-philosophcus. Routlege and Kegan Paul, London 1974. 

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