On Tarski's contribution to the additive measure theory and its consequences

Annals of Pure and Applied Logic 126 (1-3):281-286 (2004)
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Abstract

We recall one Tarski's result about the existence of a non-zero additive measure defined on power set of an infinite set vanishing on finite subsets. This rather surprising result goes back to 1930 and it allows to introduce a non-trivial linear functional invariant under changes of finitely many inputs

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