[rlupi]

It would be interesting to see how fuzzy and subjective logic evolves when powered by different numerical systems.

For example, surreal numbers are much more expressive than reals, and there are ways to express gaps as first order concepts (although not strictly a number) that maps very well to this space. I just skimmed through Audun Jøsang paper and the ideas of Belief/Disbelief to represent uncertainty resonates with Conway's construction of surreal numbers quite a bit.