I'm struggling to figure out the differences between a couple Rings when it comes to investigation, primarily Air (analyze) and Fire (theorize). By those words alone, one is figuring it out and the other is guessing, but the descriptions get a bit muddy and really what's the line between the two? How would you adjudicate these two "investigations"?
Scene 1 - The party comes across a meditating samurai in their travels. The samurai is distant and contemplative, and asks them what they believe it means to live a good life. The samurai has been tasked by his lord to murder a bastard child whose mother has been overly gossipy on the matter. He currently weighs his duty vs. compassion. His line of questioning would allow the players to decode the reason for his contemplative state if they cared to ask. They may also recall some of these salacious rumors (Earth>Culture) regarding the Samurai's Daimyo. Is reading this guy and his figuring out what's going on with him Air or Fire + Sentiment? (No plot here, really I just want the players to get into character and start thinking about how they balance their bushido ideals).
Scene 2 - The party find themselves attempting to requisition aid from an elderly magistrate who really should have retired at this point. He spends his days working on his garden and gaming with friends. It should be possible to decipher the nature of the fellow simply by observing the care and intensity of his garden. Is this Air>Aesthetics to simply look at the garden and put two and two together? Fire>Aesthetics to guess the magistrate's motivation? Water>Aesthetics to just look at the garden and realize this is someone who's spending all their time here?
I love the Art of Investigation stuff on page 170 in theory. In reality, I really want that page to be much closer to the Rings descriptions where they talk about what investigation looks like, and the list of skills. Plus about another two dozen examples. Really if every skill had an example of Investigation, I don't think that would be overkill, and it still wouldn't address every possibility. It's a lot to take in compared to every other game that's "roll to notice".