7 ms·
The reals are infinite. Float/double So, while I think your question is interesting and good, I don’t think integer size is a strong counterexample in support
by perfmode 8y ago
The reals are infinite. Float/double
So, while I think your question is interesting and good, I don’t think integer size is a strong counterexample in support of a different conclusion.
- ptd 8y agoCan you elaborate on this? Specifically, why isn’t integer size a good counterexample?
- gubbrora 8y agoFloat/doubles are finite. They only approximately model the real. And that's key. Because the fact that approximation works for a problem means it must be reasonably smooth, which means everything will be more well behaved and rules out the worst pathologies.
- repiret 8y agofloat/double can store a subset of the rationals plus some other values which aren’t found in the reals
- lern_too_spel 8y agoAnd those other values are finite (NaNs, infinities, unequal zeros). I don't know why you're downvoted. What you said is absolutely correct. It's an absurd thing for GP to say integers aren't infinite (apparently talking about fixed width integer types) and then turn around and say float/double are infinite (talking about single precision and double precision floating point types).