Interesting question... I'm sure with our BrainPals™ (as seen in John Scalzi's Old Man's War series) we can better quantify alternatives, as well as take more data into consideration. So, if someone on the street asks you for something, you "intuitively" sense that there's a 12% chance he wants to mug you, based on certain parameters. Of course, that's just improved applications of a known method.
Taking a step back, it's also interesting to see what will happen to rationalism in the general population -- are we becoming more rational over time? Or is it just something for a small group? I think that today the methods of rationality are at least available to more people (some of the smartest people in previous ages could have made good use of that!), but that doesn't mean humanity as a whole gets more rational.
One of the standard methods of science-fiction world-building is to take a current trend and extrapolate it into the future, and see what comes out. One trend I've observed is that over the last century or so, people have kept coming up with clever new ways to find answers to important questions - that is, developing new methods of rationality.
So, given what we do currently know about the overall shape of such methods, from Godel's Incompleteness Theory to Kolmogorov Complexity to the various ways to get around Prisoner's Dilemmas... Then, at least in a general science-fictional world-building sense, what might we be able to guess or say about what rationalists will be like in, oh, 50-100 years?