3 ms·
Yes, though "slightly expanded" is probably a misnomer too, in maybe a Lebesgue measure sense, since 100% of useful reals are transcendental.
by ramshorns 7y ago
Yes, though "slightly expanded" is probably a misnomer too, in maybe a Lebesgue measure sense, since 100% of useful reals are transcendental.
- OscarCunningham 7y agoTechnically you can't compare two countable sets using the Lebesgue measure, because they will both have measure 0. EDIT: You could instead say something like 'the useful reals are an infinite-degree field extension of the rationals'. (Although as I mentioned elsewhere it's actually impossible to define the useful reals.)