Bad news Even for these two simple rules it will not work for the real line Change the rule? Lebesque said, no! lets restrict the domain to make it work and. since these sets in the new domain fit the definition we call them measurable sets · Your questions?Bad news • Even for these two simple rules, it will not work for the real line! • Change the rule? • Lebesgue said, no! let’s restrict the domain to make it work, and, since these sets in the new domain fit the definition, we call them measurable sets. • Your questions?