DURNOVÁ, Helena a Tilman SAUER. Václav Hlavatý on intuition in Riemannian space. Online. Historia Mathematica. San Diego, USA: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2019, roč. 49, č. 4, s. 60-79. ISSN 0315-0860. Dostupné z: https://dx.doi.org/10.1016/j.hm.2019.04.002. [citováno 2024-04-24] |
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@article{1573248, author = {Durnová, Helena and Sauer, Tilman}, article_location = {San Diego, USA}, article_number = {4}, doi = {http://dx.doi.org/10.1016/j.hm.2019.04.002}, keywords = {Riemannian geometry; Intuition in mathematics; Philosophy of mathematics; Mathematical communities; Václav Hlavatý}, language = {eng}, issn = {0315-0860}, journal = {Historia Mathematica}, title = {Václav Hlavatý on intuition in Riemannian space}, url = {http://dx.doi.org/10.1016/j.hm.2019.04.002}, volume = {49}, year = {2019} }
TY - JOUR ID - 1573248 AU - Durnová, Helena - Sauer, Tilman PY - 2019 TI - Václav Hlavatý on intuition in Riemannian space JF - Historia Mathematica VL - 49 IS - 4 SP - 60-79 EP - 60-79 PB - ACADEMIC PRESS INC ELSEVIER SCIENCE SN - 03150860 KW - Riemannian geometry KW - Intuition in mathematics KW - Philosophy of mathematics KW - Mathematical communities KW - Václav Hlavatý UR - http://dx.doi.org/10.1016/j.hm.2019.04.002 N2 - We present a historical commentary together with an English translation of a mathematical-philosophical paper by the Czech differential geometer and later proponent of a geometrized unified field theory Václav Hlavatý (1894–1969). The paper was published in 1924 at the height of interpretational debates about recent advancements in differential geometry triggered by the advent of Einstein's general theory of relativity. In the paper he argued against a naive generalization of analogical reasoning valid for curves and surfaces in three-dimensional Euclidean space to the case of higher-dimensional curved Riemannian spaces. Instead, he claimed, the only secure ground to arrive at results is analytical calculation. We briefly discuss the biographical circumstances of the composition of the paper and characterize its publication venue the journal Ruch filosofický. We also give a discussion of the mathematical background for Hlavatý's argument. ER -
DURNOVÁ, Helena a Tilman SAUER. Václav Hlavatý on intuition in Riemannian space. Online. \textit{Historia Mathematica}. San Diego, USA: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2019, roč.~49, č.~4, s.~60-79. ISSN~0315-0860. Dostupné z: https://dx.doi.org/10.1016/j.hm.2019.04.002. [citováno 2024-04-24]
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