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Löwenheim is remembered for the Löwenheim-Skolem paradox (which Skolem pointed out is not a paradox!) which produces non-standard models, for example a denumerable model of the reals.
Forced to retire in 1934 (he was a quarter non-Aryan !) he lost his mathematical manuscripts, 1000 drawings and models and much more in the 1943 bombing of Berlin. Löwenheim survived and taught mathematics again after the War.
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