3 ms·
I've wondered before if there could be a well defined set of numbers between the integers and reals (perhaps with its own class of infinite set) that nicely exc
by inflatableDodo 7y ago
I've wondered before if there could be a well defined set of numbers between the integers and reals (perhaps with its own class of infinite set) that nicely excludes the uncomputables. If there is, I suspect that it might be what the universe is actually using and if I was going to go looking for it, I'd follow the breadcrumbs from umbral moonshine and go sniffing around the monster group.
- roywiggins 7y agoOther than the rationals? Those are all computable. Or the algebraics. Whether there's an infinity between the naturals and the reals depends on the continuum hypothesis, which is independent of the usual axioms of set theory, so you can pick.