The current BNF for symbol syntax is rather cumbersome, having to account for the fact that +inf.0, -inf.0 and +nan.0 are numbers even though they do not begin with a numeric prefix.
A simple solution would be to use an alternative such as 0/1, 0/-1 and 0/0, respectively. These are shorter, more self explanatory, and do not conflict with the definition of symbol syntax.
WG1 rejected this proposal.
Standardization is not about inventing new stuff unless we have to. Currently:
In addition, those syntaxes look exact, not inexact. You could fix that with a decimal point, but people would tend to forget where it went (is it 0./1, 0.0/1, 0/1., 0/1.0, some of these, all of these?)