Skolem Lowenheim

When1:  1915

When2:  1920

Who:    Thoralf Skolem [Skolem, Thoralf]/Leopold Löwenheim [Löwenheim, Leopold]

What:   mathematician

Where:  Norway/Germany

Detail: Skolem lived 1887 to 1963. Lowenheim lived 1878 to 1957. If countable sets have formal models, domain is countable {Löwenheim-Skolem theorem}, as proved by Löwenheim [1915] and Skolem [1920]. However, real numbers are not countable {Skolem paradox}. Models {nonstandard model} can have elements that are not countable.

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Date Modified: 2022.0224