I really want a standards body to standardize a positized version of floating point numbers. Everything about the encoding of posits (i.e. NaR, no -0.0, exponent encoding) is so much nicer. The tapered precision part of posits is IMO the least interesting part.
relatedly, having the same ordering as signed ints just makes everything so much easier. You can just use your integer radix sort to sort your floats without having to deal with sign and nans first!
They do not; if you sort as unsigned ints then negative floats sort above positive ones, and if you sort as signed ints then the negative range is reversed. IEEE floats are sign-magnitude, not twos-complement.