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    Klein's Erlangen program is incomplete as a foundation fo... — Carmelics
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    Klein's Erlangen program is incomplete as a foundation for all geometry

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    • 1.Klein's Erlangen program failed to cover the differential geometry of Riemann
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    • 2.Einstein's general theory of relativity places Riemannian differential geometry at its core
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    • 3.A geometric framework that cannot accommodate the geometry underlying general relativity is incomplete
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    A geometric framework that cannot accommodate the geometry underlying general re...Einstein's general theory of relativity places Riemannian differential geometry ...Klein's Erlangen program failed to cover the differential geometry of Riemann

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    Klein's Erlangen program failed to cover the differential geometry of ...83%A geometric framework that cannot accommodate the geometry underlying ...79%No geometry need refer to Euclidean space as a foundation or standard.75%The incompleteness of ZFC can potentially be addressed by finding new ...74%

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    SEP: geometry-19th
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    Klein's group-theoretical view of geometry enjoyed much favor among mathematicians and philosophers. It achieved a major success when Minkowski (1909) showed that the gist of Einstein's special theory of relativity was the (spacetime) geometry of the Lorentz group, an essential result that Klein (1911) lived to enjoy. It implies that the recent debate on the priority of Minkowski chronogeometry over Lorentz invariance or vice-versa is utterly idle, for these are logically equivalent and thus, in
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