I’m proposing a new irrational number. It’s sometimes constant and sometimes not, depending on conditions, but is a set of finite numbers, where that set may b

I’m proposing a new irrational number. It’s sometimes constant and sometimes not, depending on conditions, but is a set of finite numbers, where that set may be of unknown length or may be a known set of a single number. It’s a real number as it could be plotted, but is not definable as a fraction, as conditionally it could be of unknown set length.