Posits, a New Kind of Number, Improves the Math of AI
I don't know about regime notation, but it is nice to see a new format with the most annoying ideas from IEEE754 removed:<p>- Two's complement instead of one's complement<p>- No infinities, no signed zeroes<p>- Only one exceptional value with the same encoding as the smallest signed integer: 10...0<p>The above means that comparisons work exactly like for signed integers (with the unique exceptional value behaving like -∞). Also, one can test whether x is invalid using `x == -x && x != 0` rather than the ugly `x != x`, i.e. no need to break reflexivity. Even if posits do nothing but remove the one's complement dust off IEEE754, that would be a positive change in my view.