Talk:Vitali Set Existence Theorem

Theorem Names
The Wikipedia article of Vitali's Theorem is called '''Vitali Convergence Theorem. ''' This name is already in use here as Vitali's Convergence Theorem, which is about holomorphic mappings in complex function theory.

The set of real numbers which is not Lebesgue measurable which is shown to exist in the Vitali Theorem is referred to in my source (Ernst Hansen : Sandsynlighedregning på målteoretisk grundlag, 2001) as a Vitali set. My source calls the theorem the Vitali Paradox, as the naive assumption that every subset of $\R$ is measurable leads to a paradox. Wikipedia uses Vitali Theorem in its article about Vitali Sets. The German Wikipedia uses (translated) Vitali's Theorem (Measure Theory) , but I find this ambiguous, as Vitali's Theorem is also a statement in measure theory.

If we need a unique name for the Vitali Theorem, my suggestion would be Vitali Set Existence Theorem, but this is not backed up by sources. --Anghel (talk) 22:08, 8 December 2022 (UTC)