Václav Hlavatý on intuition in Riemannian space

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Václav Hlavatý on intuition in Riemannian space

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Václav Hlavatý on intuition in Riemannian space

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

60101 - History (history of science and technology to be 6.3, history of specific sciences to be under the respective headings)

Projekt

<a href="/cs/project/GA15-11070S" target="_blank" >GA15-11070S: Matematika, fyzika a politka: Život a dílo Václava Hlavatého (1894-1969) v mezinárodním kontextu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Historia Mathematica

ISSN

0315-0860

e-ISSN

1090-249X

Svazek periodika

49

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

60-79

Kód UT WoS článku

000496342500003

EID výsledku v databázi Scopus

2-s2.0-85066445888