| DURNOVÁ, Helena and Tilman SAUER. Václav Hlavatý on intuition in Riemannian space. Online. Historia Mathematica. San Diego, USA: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2019, vol. 49, No 4, p. 60-79. ISSN 0315-0860. Available from: 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 and Tilman SAUER. Václav Hlavatý on intuition in Riemannian space. Online. \textit{Historia Mathematica}. San Diego, USA: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2019, vol.~49, No~4, p.~60-79. ISSN~0315-0860. Available from: https://dx.doi.org/10.1016/j.hm.2019.04.002. [citováno 2024-04-24]
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