Václav Hlavatý on intuition in Riemannian space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14410%2F19%3A00107742" target="_blank" >RIV/00216224:14410/19:00107742 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/abs/pii/S0315086018301587?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0315086018301587?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.hm.2019.04.002" target="_blank" >10.1016/j.hm.2019.04.002</a>
Alternative languages
Result language
angličtina
Original language name
Václav Hlavatý on intuition in Riemannian space
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
60101 - History (history of science and technology to be 6.3, history of specific sciences to be under the respective headings)
Result continuities
Project
<a href="/en/project/GA15-11070S" target="_blank" >GA15-11070S: Mathematics, physics, and politics: Life and work of Václav Hlavatý (1894-1969) in the international context</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Historia Mathematica
ISSN
0315-0860
e-ISSN
1090-249X
Volume of the periodical
49
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
60-79
UT code for WoS article
000496342500003
EID of the result in the Scopus database
2-s2.0-85066445888