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Similarity, Topology, and Physical Significance in Relativity Theory

Dados Bibliográficos

ID8398239
AutoresSamuel C Fletcher (0000-0002-9061-8976, Munich School of Philosophy, autor correspondente)
Ano2016
Volume67
Fascículo2
Páginas365-389
Data de publicação2016-06-01
Peer ReviewedSim
Open AccessNão
TipoARTICLE
PeriódicoThe British Journal for the Philosophy of Science (JOURNAL)
Identificadores do periódicoISSN: 0007-0882 • E-ISSN: 1464-3537
EditoraOxford University Press (PUBLISHER • GB)
DOI10.1093/bjps/axu044
OpenAlexW2052435875
IdiomaEN
Citações recebidas18
Referências citadas18

Stephen Hawking, among others, has proposed that the topological stability of a property of space-time is a necessary condition for it to be physically significant. What counts as stable, however, depends crucially on the choice of topology. Some physicists have thus suggested that one should find a canonical topology, a single ‘right’ topology for every inquiry. While certain such choices might be initially motivated, some little-discussed examples of Robert Geroch and some propositions of my own show that the main candidates—and each possible choice, to some extent—faces the horns of a no-go result. I suggest that instead of trying to decide what the ‘right’ topology is for all problems, one should let the details of particular types of problems guide the choice of an appropriate topology. 1 Introduction2 Similarity, Topology, and Physical Significance3 The Open Topologies4 Continuity in the Geometric Sense and the Compact-Open Topologies5 Methodological Contextualism Appendix

Combinatorics · Discrete mathematics · Epistemology · Extension topology · General topology · Product topology · Property (philosophy) · Pure mathematics · Similarity (geometry) · Space (punctuation) · Subbase · Topological space · Topology (electrical circuits) · Weak topology (polar topology) · Artificial Intelligence · Computer Science · Cosmology and Gravitation Theories · Geometry and Topology · Mathematics · Quantum Mechanics and Applications · Relativity and Gravitational Theory

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Obras citantes distintas18
Citações por ano1,8
Intervalo de citações2016 - 2023 (8)
Velocidade de citaçãohistorical
Altamente citadoNão
Tipos de citaçãoNeutras: 15
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